This article provides insights into Grade 11 learner understanding of the roots of quadratic equations, how learners used solution strategies to find equations with given roots, how they determine the unknown values and the other root when one root is given and how they determine the unknown values when two roots of the equation are given. The study was underpinned by Skemp’s relational and instrumental understanding, and Kilpatrick, Swafford and Findel’s conceptual and procedural understanding to gain the (...) insights into Grade 11 learners’ understanding of the roots of quadratic equations. A case study design was espoused to answer the main research questions of this study. A written test was administered to 42 learners, and eight learners were purposively sampled to participate in a clinical interview based on their responses to the test. The findings of this study revealed that learners find it difficult to describe the roots, determine the other root when one root is given, to solve quadratic equations written in standard form, to represent the roots to determine the value of unknown variable(s), and to execute the reversal process using the given roots to find the equation. (shrink)

This study determined the effect of online teaching in Physics using the Just-in-Time Teaching (JiTT) strategy on the academic achievement and conceptual understanding of Grade 9 students. One intact class was subjected to a single-group pretest/posttest pre-experimental research design. Purposive sampling was applied, and selected 48 Grade 9 students for this study. The data gathered were interpreted quantitatively from the validated physics achievement test (PAT) and from the adopted energy-momentum concept test (EMCT), while, the learning experiences survey responses were (...) interpreted thematically. This study was conducted for a period of eight (8) weeks during the 4th quarter of the school year 2020-2021 at Junior High School in District II. The study's findings using descriptive and inferential statistics revealed a significant difference in the students' physics achievement mean scores and a significant difference in the students’ energy-momentum mean scores before and after their exposure to online teaching in physics using the Just-in-Time Teaching (JiTT) strategy. The class average normalized gain (g) of the 48 respondents on the adopted Energy-Momentum Concept Test (EMCT) resulted in statistically “high” normalized gain (g) in their conceptual understanding before and after their exposure to online teaching in physics using the Just-in-Time Teaching (JiTT) strategy. Furthermore, the learning experiences survey responses revealed positive results and improvement on the students’ learning experiences in JiTT’s warm-up exercises. Hence, it was concluded that the online teaching in physics using the Just-in-Time Teaching (JiTT) as a teaching-learning strategy might significantly improve the students' academic achievement and conceptual understanding in grade 9 physics. (shrink)

Drawing on the work of Linda Farmer, this article describes a detailed grading grid coupled with a rubric designed for the purpose of assessing argumentative papers. The rubric consists of two main parts: Content and Style. Relying upon Bloom’s taxonomy of learning, the “Content” part of the rubric assesses a student’s understanding of the material, the argument of their paper, and various abilities concerning analysis, synthesis, evaluation, and creation. The “Style” part of the rubric is split into two parts: (...) Clarity and Organization. Coupling this rubric with a grading grid, the author provides an example of a method for the effective grading of argumentative essays. (shrink)

The growth of individuals and society heavily relies on education. Certain hindrances may prompt some students to halt their academic pursuits temporarily. This is known as "Balik-aral." The exploration of the quality of life, lived experiences, and challenges of grade 12 Balik-aral students was undertaken by the authors to break their silence and help them by developing recommendations that could be presented to the school's key stakeholders. A phenomenological approach was used to understand the phenomenon in a study involving five (...) grade 12 balik-aral students from different strands currently enrolled in a public school in Cebu City, Philippines. A structured interview was used to collect data, and significant themes emerged during data analysis using Colaizzi's method. The study revealed several sub-themes, including age disparities and pressure to obtain the diploma while maintaining quality of life. Additionally, key informants emphasized the sense of community and an immersive learning environment in their lived experiences as balik-aral students. Finally, competing priorities and scarcity of resources emerged as significant challenges for those involved in the study. Consequently, the investigation has determined that balik-aral students must be treated equitably to foster their engagement with their peers and enhance their self-assurance, ultimately leading to academic success. (shrink)

A computer simulation is used to study collective judgements that an expert panel reaches on the basis of qualitative probability judgements contributed by individual members. The simulated panel displays a strong and robust crowd wisdom effect. The panel's performance is better when members contribute precise probability estimates instead of qualitative judgements, but not by much. Surprisingly, it doesn't always hurt for panel members to interpret the probability expressions differently. Indeed, coordinating their understandings can be much worse.

In this paper, I offer a theory of autonomous agency that relies on the re-sources of a strongly cognitivist theory of intention and intentional action. On the proposed account, intentional action is a graded notion that is ex-plained via the agent’s degree of practical knowledge. In turn, autonomous agency is also a graded notion that is explained via the agent’s degree of practical understanding. The resulting theory can synthesize insights from both the hierarchical and the cognitivist theories (...) of autonomy with at least some aspects of the reason-responsiveness theories. Moreover, by treating practical knowledge and practical understanding as gradable no-tions, the paper offers a strategy to respond to enduring objections against cognitivism about intention, control, and autonomy. (shrink)

After years in distance learning, grade school teachers are now facing the threat of declining reading comprehension among elementary pupils in post-pandemic settings. Teachers observed a spike in the number of non-readers and frustrated readers in intermediate grade levels. Teachers expressed concerns about the state of the education system in the aftermath of the pandemic. The purpose of this exploratory study was to establish an understanding of the challenges and mechanisms of macro- and micro-management strategies of grade school institutions. (...) There were six teachers and six reading coordinators who participated in the study. The findings suggested that while reading comprehension was a problem before the pandemic, teachers realized a surge in the number of non-readers after opening back to face-to-face classes. This was an unanticipated phenomenon that called the academic institutions to respond immediately. Significant mechanisms of reading comprehension programs were profiling, initial detection, policy-based initiatives, and institution-based design. Collaborative and collective responsibility represented macro-management practices, while initiative and responsiveness reflected micromanagement practices. These practices and strategies provided conceptual and phenomenological underpinnings relevant to early-education reading comprehension. (shrink)

The purpose of the study. The aims of this research are to determine the teachers' reading style, determine their reading speed, and determine which reading methods are the teachers' strengths and weaknesses utilizing a thorough evaluation of reading techniques from Hawker Brownlow Education. This study utilized the comprehensive assessment of reading strategies from Hawker Brownlow Education. This material is composed of four series of tests namely, Reading Comprehension 1- Historical Fiction, Reading Comprehension 2- History Article, Reading Comprehension 3- Kate Wrote (...) About a Special Zoo, and Reading Comprehension 4- Email written by Carl with different reading passages using the same 12 reading strategies. It is found that readers can effectively comprehend when they use the following strategies namely, finding word meaning in context, understanding sequence, and making predictions. Therefore, the four series of assessments, show that there are varied ways of comprehending a material that might directly influence the duration and time limit allocated in reading and answering the material, the recurring events of the same material used, and the scheduling of reading comprehension tests. (shrink)

This research delves into the intricate relationship between language and mathematics education, particularly within the context of mother-tongue-based instruction. It addresses the challenge of reconciling the language of instruction, the learners' mother tongue, and the language of mathematical concepts, emphasizing the need for synchronization to enhance the teaching and learning process. Drawing from international experiences and the Philippine educational landscape, which transitioned to the K-12 curriculum, this study investigates the role of code-switching in Grade-One mathematics education. By conducting a pretest-posttest (...) group design at an Elementary School in Bohol, Philippines, the study evaluates the effects of code-switching within a mother-tongue-based instruction framework. Findings demonstrate that code-switching improves mathematics performance, with the experimental group excelling in advanced and proficient levels post-implementation. Notably, the control and experimental groups exhibited similar pretest scores, indicating their comparability. This research concludes that code-switching is an effective strategy for bridging the linguistic gaps between the mother tongue and mathematical concepts, thereby enhancing the meaningfulness and comprehensibility of mathematics. In light of these findings, the study recommends the adoption of code-switching in teaching mathematics, especially for students with lower academic achievement. Additionally, it encourages future research to explore the applicability of code-switching in other subjects and higher grade levels. This study advocates for an inclusive and adaptive approach to mathematics instruction that recognizes the complex interplay of languages and aims to empower students to understand, participate actively, and develop a profound love for the subject. Based on the empirical findings of this study, it is strongly recommended that the integration of code-switching as a pedagogical strategy in mathematics instruction be formally endorsed within the school setting. This endorsement serves the paramount goal of enhancing the mathematical proficiency and overall academic performance of the students. -/- . (shrink)

The development of student's skills in the conduct of research, both qualitative and quantitative, is envisioned in the K to12 curriculum. This study uses qualitative research to show students' perceptions and understanding of a particular issue. Similarly, it describes apparent cultures postulated within the students' chosen themes. Finally, it determines the development of cultural knowledge in the context of Merleau-Ponty's phenomenology of perception among Grade 11 students at a Senior High School near Laguna Lake in the City of San (...) Pedro, Laguna, Philippines, during the school year 2016-2017. Semi-structured interviews, focus group discussions, and triangulation was used to obtain students' cultural understanding and share their experiences undertaking diverse qualitative research using purposive sampling. The data was analyzed using phenomenological analysis. Students' perceptions and streams of consciousness include street children, child labor fishermen, and school violence. Cultural understanding encompasses (a) the economic and psychological implications of family, (2) camaraderie, pakikisama and pakikiisa, and (3) education as a survival strategy. Senior High School students' research experiences connect underpinnings of cultural understanding. (shrink)

The potential benefits of cognitive skills in enhancing mathematics ability have been claimed by numerous researchers. Since mathematics requires a complete understanding and grasp of abstract concepts, it is essential to explore how learning with metacognitive skills affects mathematics learning. Thus, the study investigates the students' metacognitive awareness and conceptual understanding of integers. A descriptive-correlational method approach was utilized, and it was carried out on 303 seventh-grade students. The data were obtained using a metacognitive awareness inventory and achievement (...) test on integers. It was further revealed that the students have average metacognitive awareness and performed well in the fundamental operation of integers. Follow-up qualitative analysis revealed that students who were high achievers had the best understanding, average achievers had corrected or incomplete understanding, and low achievers had a functional misconception of integers. Moreover, the student's metacognitive awareness was significantly related to their conceptual understanding of integers. This indicates that student's higher-order thinking skills, such as metacognition, are essential since they are associated with building conceptual skills. Thus, teachers should encourage students' metacognitive awareness to improve students' conceptual understanding of integers. The study provides relevant information for educational managers on the potential factors to be considered in improving mathematics education practices, particularly in promoting metacognition among high school students. (shrink)

We regularly make graded normative judgements in the epistemic domain. Recent work in the literature examines degrees of justification, degrees of rationality, and degrees of assertability. This paper addresses a different dimension of the gradeability of epistemic normativity, one that has been given little attention. How should we understand degrees of epistemic criticizability? In virtue of what sorts of factors can one epistemic failing be worse than another? The paper develops a dual-factor view of degrees of epistemic criticizability. According (...) to the view, degrees of epistemic criticizability are (i) an inverse function of degrees of doxastic justification and (ii) a function of degrees of agent culpability. The paper develops an account of each factor, and explains how they should be weighted. The paper also addresses the importance of modelling degrees of epistemic criticizability in a broader context. I focus on the role that such a model can play in the ethics of epistemic criticism. (shrink)

In this paper I critically evaluate the value neutrality thesis regarding technology, and find it wanting. I then introduce the various ways in which artifacts can come to influence moral value, and our evaluation of moral situations and actions. Here, following van de Poel and Kroes, I introduce the idea of value sensitive design. Specifically, I show how by virtue of their designed properties, artifacts may come to embody values. Such accounts, however, have several shortcomings. In agreement with Michael Klenk, (...) I raise epistemic and metaphysical issues with respect to designed properties embodying value. The concept of an affordance, borrowed from ecological psychology, provides a more philosophically fruitful grounding to the potential way(s) in which artifacts might embody values. This is due to the way in which it incorporates key insights from perception more generally, and how we go about determining possibilities for action in our environment specifically. The affordance account as it is presented by Klenk, however, is insufficient. I therefore argue that we understand affordances based on whether they are meaningful, and, secondly, that we grade them based on their force. (shrink)

As schools publicly modernize in response to societal changes, additional teaching and learning methods are developed, observed, and used since learners have different learning styles that make it easier for them to grasp and retain the material. During the COVID-19 pandemic, teachers require different media to keep the classroom involved while presenting the lesson materials online, one of which is video tutorials. The purpose of this study was to analyze the extent of contextual effects of video tutorials used in general (...) chemistry, determine the relationship between video tutorial effectiveness and the respondents' academic performance, and analyze the significant difference between the four indicators of contextual effects of video tutorials and the respondents' profile. A descriptive-correlational quantitative research design was used in this study. The participants in this study were 144 Grade 12 STEM students from a private school in Sultan Kudarat, Philippines, who took their general chemistry course during the pandemic. The respondents were given a survey questionnaire created with Google Forms. The students agreed with all the assertions and rated them as effective in terms of their perceptions of general chemistry, implying that video tutorials are useful in teaching the subject. With p-values of .023, .046, and .010, respectively, the findings revealed a significant relationship between the overall mean of students' perceptions of the subject of General Chemistry, the concept and application of chemical knowledge and understanding, and their influence on students' academic performance. In terms of their perception, ideas, and application of chemical knowledge and comprehension, the results demonstrated that there is no statistically significant difference between the general mean of male and female students' responses. This basically means that by using video lectures, STEM students of all genders appreciate and understand General Chemistry as a subject. -/- . (shrink)

This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...) says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. -/- Keywords Plato; being; difference; image; pollachos esti; pollachos legetai 1. Being, Not-Being and Difference The three dialogues where the notion of "difference" attaches to the notion of being, namely Parmenides II, Sophist and Timaeus,and specifically the first two we try to discuss here. In these dialogues, Plato is going to achieve a new and revolutionary understanding of being which is not anymore based on the notion of "same" as it was before in Greek ontology. It was his discovery, I think, that the notion of being in the Greek ontology is attached to the notion of the "same" and it is because of this attachment that there have always been many problems understanding being especially after Parmenides. That being has always been relying on the "same" can be found out from the way most of the Presocratics understood it. It was based on such a relationship between being and "same" that a later Ionian, Heraclitus of Ephesus, rejected Being by rejecting its sameness: unable to be the same, being cannot be being anymore but becoming. Heraclitus’ criticism of his predecessors’ understanding of being was due to his discovery that what they call being is not the same but different in every moment. The relation of being and sameness reaches to its highest point in Parmenides. What Plato does in using the "difference" is nothing but the establishment of a creative relation between being and "difference". In this new relation, although he is in agreement with Heraclitus that being is not the same but different, he does not do it by use of becoming. He disagrees, on the other hand, with Parmenides that such a relation between being and difference leads to not being. At Parmenides 142b5-6 it is said that if One is, it is not possible for it to be without partaking (μετέχειν) of being (οὐσίας), which leads to the distinction of being and one: -/- So there would be also the being of the one (ἡ οὐσία του̑ ἑνὸς) which is not the same (ταὐτὸν) as the one. Otherwise, it wouldn’t be its being, nor the one would partake of it. (142b7-c1) -/- The fact that what is (ἔστι) signifies (σημαῖνον) is other (ἀλλο) than what One signifies (c4-5), is being taken as a reason for their distinction. The conclusion is that when we say 'one is', we speak of two different things, one partaking of the other (c5-7). Having repeated these arguments of the otherness of being and one at 143a-b, Parmenides says that the cause of this otherness can be neither Being nor One but "difference": -/- So if being is something different (ἕτερον) and one something different (ἕτερον), it is not by being one that the one is different from being nor by its being being that being is other than one, but they are different from each other (ἕτερα ἀλλήλων) by difference (τῷ ἑτερῳ) and otherness (ἄλλῳ). (143b3-6) -/- The fifth hypothesis, 'one is not' (160b5ff.) is also linked with the notion of difference. When we say about two things, largeness and smallness, that they are not, it is clear that we are talking about not being of different (ἕτερον) things (160c2-4). When it is said that something is not, besides the fact that there must be knowledge of that thing, we can say that it entails also its difference: 'difference in kind pertains to it in addition to knowledge' (160d8). Parmenides explains the reason as such: -/- For someone doesn’t speak of the difference in kind of the others when he says that the one is different from the others, but of that thing’s own difference in kind. (160e1-2) -/- Although the theory of being as "difference" is not fulfilled yet, an exact look at what occurs in Sophist can make us sure that this was the launching step for "difference" to get its deserved role in Plato’s ontology. The notion of the "difference" is not yet well-functioned in Parmenides because we can see that being is still attached to the same: -/- For that which is the same is being (ὄν γὰρ ἐστι τὸ ταὐτόν) (162d2-3). -/- The notion of difference in Sophist is the key element based on which a new understanding of being is presented and the problem of not being is somehow resolved. The friends of Forms, the Stranger says, are those who distinguish between being and becoming (248a7-8) and believe that we deal with the latter with our body and through perception while with the former, the real being (ὄντως οὐσίαν) with our soul and through reasoning (a10-11). Being is then bound with the "same" by adding: -/- You say that being always stays the same and in the same state (ἣν ἀεὶ κατὰ ταὐτὰ ὡσαύτως ἔχειν) but becoming varies from one time to another (δὲ ἄλλοτε ἄλλως). (248a12-13) -/- That the theory of the relation of being and capacity (247d8f., 248c4-5) matches more with becoming than with being (248c7-9) must be rejected because being is also the subject of knowledge which is kind of doing something (248d-e). It does, however, confirm that 'both that which changes and also change have to be admitted as existing things (ὄντα) (249b2-3). I believe that this is what Socrates would incline to do at Theaetetus 180e-181a, that is, putting a fight between two parties of Parmenidean being and Heraclitean becoming and then escaping. The solution is that becoming is itself a kind of being and we ought to accept what changes as being. This is what must be done by a philosopher, namely, to refuse both the claim that 'everything is at rest' and that 'being changes in every way' and beg, like a child, for both and say being (τὸὄν) is both the unchanging and that which changes (249c10-d4). This kind of begging for both is obviously under the attack of contradiction (249e-250b). For both and each of rest and change similarly are (250a11-12) but it cannot be said either that both of them change or both of them rest, being must be considered as a third thing both of the rest and change associate with (250b7-10). The conclusion is that 'being is not both change and rest but different (ἕτερον) from them instead' (c3-4). The notion of difference helps Plato to take being departed from both rest and change because it was their sophisticated relation with being that made the opposition of being and becoming. Plato is now trying to separate being from rest and, thus, from "same" by "difference". Such a crucial change is great enough to need a 'fearless' decision (256d5-6). The possibility of being of not being is resulted (d11-12) comes as the answer to the question 'so it’s clear that change is not being and also is being (ἡ κίνησις ὄντως οὐκ ὄν ἐστι καὶ ὄν) since it partakes in being?' (d8-9). It is then by the notion of difference that becoming is considered as that which both is and is not. This coincidence of being and not being about change is apparently similar to Socrates’ paradoxical statement at Republic 477a about what both is and is not. -/- Introduction The Republic 476-477 has always been a matter of controversy mainly about two interwoven points. The first problem is the meaning of being here; that whether what he has in mind is a veridical, existential or propositional sense of being. The second problem is his distinction between the objects of knowledge and opinion which seems to lead, some believe, to the Two Worlds (TW) theory. The crucial point in Republic is that what is considered between knowledge (ἐπιστήμης) and ignorance (α͗γνοιας), namely opinion, must have a different object that leads Socrates to draw the distinction of knowledge and opinion between their objects. The problem of understanding being in the fifth book of the Republic is that when it is said that the Form of F is F but a particular participating in F, both is and is not F, it sounds too bizarre and unacceptable. It cannot be imaginable how a thing can be existent and non-existent at the same time. At the first sight, the only solution seems to be the degrees of existence which is called by Annas (1981, 197) a 'childish fallacy' and a 'silly argument'. Kirwan (1974, 118) thinks that Republic V does not attribute 'any doctrine about existence' to Plato and Kahn (1966, 250) claims that the most fundamental value of einai when used alone (without predicate) is not "to exist" but "to be so", "to be the case" or "to be true". The problems of understanding being in Republic and Sophist besides the difficulties of the existential reading led scholars to the other senses of being, mostly related to the well-known Aristotelian distinctions between different senses of being. In the predicative reading, Annas, for example, refers this difference to the qualified and unqualified application. Whereas the Form of F is unqualifiedly F, a particular instance of F can be F only qualifiedly (1981, 221). Vlastos’ well-known substitution of 'degrees of reality' for 'degrees of being/existence' must be categorized as a predicative reading. Kahn thinks that the basic sense of being for Plato is 'something like propositional structure, involving both predication and truth claims, together with existence for the subject of predication' (2013, 96). Believing that the complete-incomplete distinction terminology is misleading about Plato, he thinks that semantic functions are only second-order uses of the verb and it is the predicative or incomplete function which is fundamental. Suggesting a veridical reading, Fine (2003, 70 ff) thinks that while both existential and predicative readings separate the objects of knowledge and belief, it is only her reading which does not force such separation of the objects and thus does not imply TW. Stokes (1998, 266) thinks that though Fine is right saying that Plato does not endorse TW in book V, she is wrong in rejecting existential in favor of the veridical reading. The reception of existential reading can be seen more obviously in Calvert who thinks, in agreement with Runciman, that 'it would be safer to say that Plato’s gradational ontology is probably not entirely free from degrees of existence' (1970, 46). At Sophist 254d-e Plato singles out five most important kinds (or Forms!?) in which the same (ταὐτὸν) and difference (θάτερον) are regarded besides being, rest and change. They are, therefore, neither the same nor the difference but share in both (b3). Being (τὸ ὄν) cannot be the same also because if they 'do not signify distinct things' both change and rest will have the same label when we say they are (255b11-c1). We have then four distinct kinds, being, change, rest and same, none of them is the other. The case of difference is more complicated. When the stranger wants to assess the relation of being and difference, he can say simply neither that they are distinct nor that they are not. He has to make an important distinction inside being to get able to draw the relation of being and difference: -/- But I think you'll admit that some of the things that are (τῶν ὄντων) are said (λέγεσθαι) by themselves (αὐτὰ καθ’ αὑτά) but some [are said] always referring to (πρὸς) other things (ἄλλα) (255b12-13) -/- The difference is always said referring to other things (τὸδέγ’ ἕτερον ἀεὶ πρὸς ἕτερον) (255d1). It pervades all kinds because each of them should be different from the others and is so due to the difference and not its own nature (253e3f.) After asserting that change is different from being and therefore both is and is not (256d), the difference is described as what makes all the other kinds not be, by making each different from being. Given that all of them are by being, this association of being and difference is the cause of their being and not-being at the same time, the issue that its version at RepublicV made all those controversies we discussed above: -/- So in the case of change and all the kinds, not being necessarily is (Ἔστιν ἄρα ἐξ ἀναγκης τὸ μὴ ὄν). Τhat’s because as applied to all of them, the nature of the difference (ἡ θατέρον φύσις) makes each of them not be by making it different from being. And we’re going to be right if we say that all of them are not in the same way. And conversely [we’re also going to be right if we say] that they are because they partake in being. (Sophist 256d11-e3) -/- Plato’s new construction of five distinct kinds and the role he gives to thedifference among them is aimed to resolve the old problem of understanding being which has always been annoying from the time of Heraclitus and Parmenides. Both the ontological status of becoming and that of not being were, in Plato’s mind, based on the absolute domination of the notion of the Same over being. Now, not only becoming is understandable as being but also not being which is not the contrary of being anymore but only different (ἕτερον) (257b3-4). Though I agree partly with Frede that the account of not being which is needed for false statements is more complicated than just saying, as Cropsey (1995, 101) says, that Plato is substituting 'X is not Y' with 'X is different from Y', I totally disagree with him that when we say X is not beautiful, Plato could not have thought that it is not a matter of its being different from beautiful because 'it would be different from beauty even if it were beautiful by participation in beauty' (1992, 411). Conversely, as we will discuss, it is exactly the relation of the beautiful thing, X, and the beautiful itself, in which X shares that is to be solved by the notion of not being as difference. Though it is beautiful because of sharing in beauty, X is not beautiful because it is different from beautiful itself. What the difference is to do is to show how something can both be and not be the same thing. The difference is what makes one thing both be and not be a certain other thing. This equips the difference with the ability to explain a certain thing’s not-being when it is. Thanks to the notion of difference, it is now possible to explain not only not being but also the simultaneous being and not being of a thing: 'What we call "not-beautiful" is the thing that ἕτερόν ἐστιν from nothing other than του̑ καλου̑ φύσεως' (257d10-11). The result is that not beautiful happens to be (συμβέβηκεν εἶναι) one single thing among kinds of beings (τι τῶν ὄντων τινὸς ἑνὸς γένους) and at the same time set over against one of the beings (πρός τι τῶν ὄντων αὖ πάλιν ἀντιτεθὲν) (257e2-4) and thus be something that happens to be not beautiful (εἶναί τις συμβαίνει τὸ μὴ καλόν); a being set over against being (ὄντος δὴ πρὸς ὄν ἀντίθεσις) (e6-7). Neither the beautiful is more a being (μα̑λλον ... ἐστι τῶν ὄντων) nor not beautiful less (e9-10) and thus both the contraries similarly are (ὁμοίως εἶναι) (258a1). This conclusion, it is emphasized again (a7-9), owes to θατέρου φύσις now turned out as being. Therefore, each of the many things that are of the nature of the difference and set over each other in being (τῆς τοῦ ὄντος πρὸς ἄλληλα ἀντικειμένων ἀντίθεσις) is being as being itself is being (αὐτοῦ τοῦὄν τοςοὐσία ἐστιν) and not less. They are different from, and not the contrary of, each other (a11-b3). This is exactly τὸμὴὄν, the subject of the inquiry (b6-7). Hence, not being has its own nature (b10) and is one εἶδοςamong the many things that are (b9-c3). Such far departing from Parmenides’ ontological principle is done on the basis of the nature of the difference. It was the discovery of such a notion that made the stranger brave enough to say that not being is each part of the nature of the difference that is set over against being (258d7-e3, cf. 260b7-8). That the relation of being and difference is difference is the key element of the new ontology. The difference is, only because of its sharing in being, but it is not that which it shares in but different from it (259a6-8). Not being is exactly based on this difference: ἕτερον δὲ τοῦ ὄντος ὄν ἔστι σαφέστατα ἐξ ἀνάγκης εἶναι μὴ ὄν (a8-b1). 2. Difference and the Being of a Copy We discussed above that the sense of being of particulars in Republic V made so many debates that whether being is there used in an existential sense or not. Particulars in Republic are regarded as images in the allegories of Line and Cave. The being of an image/copy makes, thus, the same problem. Plato’s analogy of original -copy for the relation of Forms and their particulars in Republic has obviously a different attitude to being. The main question is that what is the ontological status of a copy in respect of its original? Are there two kinds of being, 'real being' versus 'being' as Ketchum says (1980, 140) or only one kind? What is the difference of being in an original and its copy? Is it a matter of degrees of being or reality as some commentators have suggested? Is it a matter of being relational? By reducing the ontological issue to an epistemological one, Vlastos’ suggestion of degrees of reality in an article with the same name does neither, I think, pay attention to the problem nor resolve it. He agrees that Plato never speaks of "degrees" or "grades" of reality (1998, 219). What allows him to entitle it as such are some of Plato’s words in Republic as well as Plato’s words in some other dialogues (1998, 219). When Plato states that the Forms only can completely, purely or perfectly be real he means, Vlastos says, they are cognitively reliable (1998, 229); an obvious reduction of the issue to an epistemological one. He thinks that when in Republic we are being said that a particular’s being F is less pure than its Form, it is because it is not exclusively F, but it is and is not F and this being adulterated by contrary characters is the reason of our confused and uncertain understanding of it (1998, 222). Ketchum rightly criticizes Vlastos’ doctrine in its disparting from ontology thinking that 'to understand Plato’s talk of being as talk of reality is to obscure the close relation that exists between "being" and the verb "to be"' (1980, 213). He thinks, therefore, that οὐσία must be understοοd as being rather than reality, τὸὄν as "that which is" and not "that which is real" and … (ibid). His conclusion is that degrees of reality cannot interpret Plato correctly and we must accept degrees of being. Allen believes that a 'purely epistemic' reading of the passage in Republic is patently at odds with Plato’s text (1961, 325). He thinks that not only degrees of reality but also degrees of reality must be maintained (1998, 67). What Cooper suggests gets close to this paper’s solution: -/- Plato does not I think wish to suggest that existence is a matter of degree in the way in which being pleasant or painful is a matter of degree. Rather there are different grades of ontological status. (1986, 241) -/- A more ontological solution for the problem of understanding the being of a copy and its relation with the being of its original is suggested by the theory of copy as a relational entity. Based on this interpretation, 'the very being of a reflection is relational, wholly dependent upon what is other than itself: the original…' (Allen, 1998, 62). As relational entities, particulars have no independent ontological status; they are purely relational entities which derive their whole character and existence from Forms (ibid, 67). Although these relational entities are and have a kind of existence, we must also say that 'they do not have existence in the way that Forms, things which are fully real, do' (ibid). Allen (1961, 331) extends his theory to Phaedo where it is said that particulars are deficient (74d5-7, 75a2-3, 75b4-8), 'wish' to be like (74d10) or desire to be of its nature (75a2); an extension that, like F.C. white (1977, 200), I cannot admit. He correctly states that Plato did not start out with a doctrine of particulars as images and semblances but come to such a view after Phaedo, or perhaps after Republic V (1977, 202). Though we may not agree with him about Republic V, if we have to consider its last pages also, we must agree with him that not only the ontology of Phaedo but also that of Republic II-V (except the last pages of the latter book) are somehow different from (but at the same time appealing to) the ontology of original-copy which should exclusively assign to Sophist, Timaeus and RepublicVI-VII besides the last pages of book V. The answer to the problem of Plato’s sense of being in RepublicV can be reached only if we read Republic V based on and as following Sophist. We can find out his meaning of that which both is and is not only by the ontological status he assigns to a copy in Sophist. The kind of being of a copy in Sophist reveals as Plato’s key for the lock of the problem of not being. Let’s see how the ontological status of a copy is the critical point of Plato’s ontology. In the earlier pages of Sophist, we are still in the same situation about not being. To think that that which is not is is called a rash assumption (237a3-4) and Parmenides’ principle of the impossibility of being of not being is still at work (a8-9). At 237c1-4, the problem of "not being" is noticed in a new way which shows some kinds of a more realistic position to the problem of not being. Nevertheless, not being is still unthinkable, unsayable, unutterable and unformulable in speech (238c10). Soon after mentioning that it is difficult even to refuse not being (238d), the solution to the problem appears: the being of a copy (εἴδωλον) (239d). A copy is, says Theaetetus, something that is made referring to a true thing (πρὸς τἀληθινὸν) but still is 'another such thing (ἕτεροντοιου̑τον)' (240a8). Nevertheless, this 'another such thing' cannot be another such real or true thing. In answer to the question of the Stranger that if this 'another such thing' is the true thing (240a9), Theaetetus answers: οὐδαμῶς ἀληθινόν γε, ἀλλ’ ἐοικὸςμὲν (240b2). A copy’s being 'another such thing' does not mean another true thing but only a resemblance of it. Not only is not a copy another true thing besides the original, but it is the opposite of the true thing (b5) because only its original is the thing genuinely and being a copy is being the thing only untruly. The word ἐοικὸς is opposed to ὄντως ὄν in the next line (240b7): 'So you are saying that that which is like (ἐοικὸς) is not really that which is (οὐκ ὄντως [οὐκ] ὄν)'. But still a copy 'is in a way (ἔστι γε μήν πως)' (b9). While it is not really what it is its resemblance, it has its own being and reality because it really is a likeness (εἰκων ὄντως) (b11). The Stranger asks: -/- So it is not really what is (οὐκ ὄν ἄρα [οὐκ] ὄντως ἐστὶν) but it really is what we call a likeness (ὄντως ἣν λέγομεν εἰκόνα)? (b12-13) -/- This is Plato’s innovative ontological solution to the problem of not being. Theaetetus’ answer confirms this: 'Maybe that which is not is woven together with that which is' (c1-2). Therefore, a copy neither is what really is nor is not-being but only is what in a way is. Thanks to the ontological status of a copy, the third status intermediate between being and not being is brought forth. The essence of an image, in Kohnke’s words, does not consist 'solely in the negation of what is genuine and has real being' because otherwise 'it would be an ὄντως οὐκ ὄν,essentially and really a not being' (1957, 37). The characteristics of a copy can be summed up as folows: i) A copy is a copy by referring to a true thing (πρὸς τἀληθινὸν). ii) A copy is different from that of which it is a copy (ἕτερον). iii) A copy is not itself a true thing (ἀληθινόν) as that of which it is a copy but only that which is like it (ἐοικὸς). iv) It is not really that which really is (ὄντως ὄν) but only really a likeness (εἰκων ὄντως). The conclusion is that: v) A copy in a way (πως) is that means it both is and in not, the product of interweaving being with not being. This leads to the refutation of father Parmenides’ principle, accepting that 'that which is not somehow is (τό τε μὴ ὄν ὡς ἔστι)' and 'that which is, somehow is not (τό ὄν ὡς οὐκ ἔστι) (241d5-7). Besides copies and likenesses (εἰκόνων), we have also imitations (μιμημάτων) and appearances (φαντασμάτων) as the subjects of this new kind of being and thus false belief (241e3). In Timaeus, the world of becoming which cannot correctly be called and thus we have to call it "what is such" (τὸ τοιου̑τον) (49e5) or "what is altogether such" (τὸ διἀ παντὸς τοιου̑τον) (e6-7), consists solely of imitations (μιμημάτα) (50c5) which are identifiable only by the things that they are their imitations. The word τοιου̑τον which had been used to determine the situation of a copy in respect of its original, now becomes the definition of the world of becoming in which everything is an image of another thing, a Being, that stays always the same and is different and separated from its image. Cherniss, in my view rightly, draws attention to the very important point about the ontological status of an image that can at the same time be considered a criticism of the relational theory. What we are being said in Timaeus, he thinks,cannot be explained by saying that an image is not self-related and making its being relational. What is crucial about an image is that it 'stands for something, refers to something, means something and this meaning the image has not independently as its own but only in reference to something else apart from it' (1998, 296). This function finds its best explanation in the theory we are to suggest in the following. 3. πολλαχῶς ἔστι The best way to understand the ontological status of an image in Plato is to see first how his most clever pupil, Aristotle, resolved the same problem that Plato brought his theory of image for its sake. Aristotle’s theory of pollachos legetai is a brilliant and, at the same time, deviated version of Plato’s theory that is able, however, to help us read Plato in a better way. We discuss Aristotle’s theory to reach to a full understanding of Plato’s theory because it is, firstly, constructed in Aristotle in a more clear way and, secondly, it can also be taken as an evidence that our reading of Plato is legitimate. The phrase τὸ ὄν πολλαχῶς λέγεται, a so much repeated phrase in Aristotle’s works, is his resolution for some of the ontological problems of his predecessors all treating being as if it has only one sense. Aristotle is right in his criticism of the philosophical tradition specially Heraclitus, Parmenides and Plato since all did presuppose only one sense for being and his theory is, thus, a creative and revolutionary solution for many problems that all the past philosophers were stuck in. But it is at the same time somehow a borrowed theory. As we will discuss, both the structure of the doctrine and the problems it tries to resolve are the same as Plato’s doctrine (and even is comparable in its phraseology) though it is in Aristotle, as can be expected, a more clear and better structured doctrine. 1) Associated with the theory of pros hen and the theory of substance, the theory of several senses of being provides a structure which, I insist, is the best guide to understand Plato’s theory of Being in Sophist, Timeaus and Republic. a) Although the theory of pollachos legetai is not necessarily based on the theory of pros hen, they become tightly interdependent about being: -/- Being is said in many ways/senses (τὸ δὲ ὄν λέγεται μὲν πολλαχῶς) but by reference to one (πρὸς ἕν) [way/sense] and one kind of nature (μίαν τινὰ φύσιν). (Metaphysics 1003a33-34) -/- The doctrine of pros hen which is Aristotle’s initiative third alternative besides the homonymous and synonymous application of words, is primarily a linguistic theory that tries to provide a new theory to explain the different implementations of the same word. The pros hen implementation of being is to provide an alternative for the theory of the synonymous (in Plato: homonymous) implementation of being which says being is said in one sense (kath hen) (1060b 32-33). That both the pros hen and the kath hen implementation of a word has one thing (hen) as what is common, makes them in opposition to the homonymous implementation which does not consider anything in common. Whereas both pros hen and kath hen assume a common nature, with which all the implementations of the word have some kind of relation, their difference is that while kath hen takes all the implementations of the word as the same with the common nature, pros hen makes them different. Substance is called πρῶτον ὄν because it is said to be primarily: -/- For as is (τὸ ἔστιν) is predicated of all things, not however in the same way (οὐχ ὁμοίως) but of one sort of thing primarily and of others in a secondary way. So too τὸτί ἐστιν belongs simply (ἁπλῶς) to substance but in a limited sense (πῶς) to the others [other categories] (1030a21-23). -/- The word ἁπλῶς standing against κατὰ συμβεβηκός tries to make substance different from the accidents. When we are being said that τὸ ὄν πολλαχῶς λέγεται, it means that only the substance that is simply (ἁπλῶς) the ἕν, the common nature, τὸὄν. When we use the word 'being' about a substance, the being is said differently from when we use 'being' about an accident. The distinction between the substance and the other categories is a distinction between what simply is said to be and what only with reference to (pros) the substance is said to be. The doctrine of pros hen, changing kath hen to pros hen in respect of to on, makes a distinction that wants to show that while there is a kind of implementing the word being that is simply being, there is another kind which is called being only by reference to that which is simply being. In the doctrine of pros hen it is not so that all the things that are said to be are only by reference to a common one thing, but that while one thing is called being because it is that thing itself, the other things are called so without being that thing itself but only by referring to it. At the very beginning of book Γ, it is said that: -/- Being is said in many senses but all refer to one arche. Some things are said to be because they are substances, others because they are affections of substances, others because they are a process towards substances or destructions or privations or qualities of substances … (1003b5-9, cf. 1028a18-20) -/- Substance is what really is said to be and all other things that are said to be are said only in favor of it. This difference of substance from all other senses of being is what is, I believe, primarily aimed in Aristotle’s interrelated theories of pollachos legetai,pros hen and the theory of substance. b) The difference of the implementation of being in the case of substance and the accidents goes so deep that while substance is considered as the real being, the accidents are almost not being. An accident is a mere name (Metaphysics 1026b13-14) and is obviously akin to not being (b21). Aristotle adds that Plato was 'in a sense not wrong' saying that sophists deal with not being (τὸ μὴ ὄν) because the arguments of sophists are, above all, about the accidental (1026b13-16). At the beginning of book , he says about quality and quantity (which look to be more of a being than other accidents) that they are not existent (οὐδ̕ ὄντα ὡς εἰπεῖν) in an unqualified sense (ἁπλῶς) (1069a21-22). The two above-mentioned points, Aristotle’s (a) interwoven theories of pollachos legetai, pros hen and the theory of substance and (b) taking accidents almost as not being, comparedwith substance, brings forth a structure that I shall call Pollachos Legetai (with capital first letters). What is of the highest importance in this structure for me is the difference of substance from accidents and the kind of relation which is settled between them. There is a substance that without any qualification is said to be and the accidents that are said to be only by reference (pros) to it. Adding Aristotle’s point about accidents that they are nearly not being to this relation and difference, we can obviously see how much this structure is close to Plato’s original-copy ontology. We spoke of the relation of being and difference in Plato’s model and the way Plato construes the being of a copy. A copy is a copy only by referring to (pros) a model; it is different from (ἕτερον) that of which it is a copy; it is not itself a true thing as its model and not really that which is (ὄντως ὄν) but only is in a way (πῶς). If we behold the difference of substance and accident in the context of the theory of pollachos legetai and pros hen, we can observe its fundamental similarity with Plato’s original-copy theory in its structure. Allen draws attention to the fact that the relation between Forms and particulars in Plato’s original-copy model is 'something intermediate between univocity and full equivocity' (1998, 70, n. 24) and the same as what Aristotle calls it pros hen (ibid). What made us compare the two structures was not, of course, the complete similarity of two structures (we have to agree with many possible differences of the two theories) but exactly the specific relation between an original and its copy on the one hand, and a substance and its accident on the other hand. As substance and accident do not share a common character and the substance -accident model hints that they stand in a certain relation, there is no common character between the original and copy in Plato’s model as well. Furthermore, their similarity is not confined to their structure only; they are also aimed to solve the same problem. The central point of the theory is that all the predecessors took being in one sense and this was their weakness point. Besides the mentioned above passages about the relation of pollachos legetai and presocratics’, as well as Plato’s, ontology, the relation of the theory with the problem of not being is clear in several passages. In Metaphysics, it is said: 'Being is then said in many senses… It is for this reason that we say even of not being that it is not being' (1003b5-10). Discussing the accidental sense of being, Aristotle points that it is in the accidental way that we say, for example, that not-white is because that of which it is an accident is (1017a18-19, cf. 1069a22-24). We mentioned that he thought Plato was right saying that sophistic deals with not being because sophistic deals with accidental, which is somehow not being (1026b14-16). Plato turned sophistic not-being to what both is and is not and Aristotle to what accidentally is said to be. What helps Aristotle to resolve the problem of not being is his distinction between ἁπλῶς and κατὰ σθμβεβηκός. Aristotle’s "qua" (ᾕ) which is directly linked with his distinction between καθ’ αὑτο λέγεται and κατὰ συμβεβηκός λέγεται, is used to resolve the old problem of coming to be out of not being (Physics 191b4-10). He strictly asserts that his predecessors could not solve the problem because they failed to observe the distinction of "qua itself" from "qua another thing" (b10-13). He then continues: -/- We ourselves are in agreement with them in holding that nothing can be said simply (ἁπλως) to come from not being (μὴὄντος). But nevertheless we maintain that a thing may come to be from not being in an accidental way (κατὰ συμβεβηκός). For from privation which ὅ ἐστι καθ’ αὑτο μὴ ὄν, nothing can become. (Phy. 191b13-16, cf. b19-25) . (shrink)

One of the few points of unquestioned agreement in virtue theory is that the virtues are supposed to be excellences. The best way to understand the project of "virtue ethics" is to understand this claim as the idea that the virtues always yield correct moral action and, therefore, that we cannot be “too virtuous”. In other words, the virtues cannot be had in excess or “to a fault”. If we take this seriously, however, it yields the surprising conclusion that many (...) traits which have been traditionally thought of as “virtues” fail to make the grade. The most prominent solution to the problem, reminiscent of Aristotle's view, is found to generate more problems than it solves. -/- Ratio, Volume 35, Issue 1, Page 49-60, March 2022. (shrink)

This paper is concerned with two concepts of qualitativeness that apply to intensional entities. I propose an account of pure qualitativeness that largely follows the traditional understanding established by Carnap, and try to shed light on its ontological presuppositions. On this account, an intensional entity is purely qualitative iff it does not ‘involve’ any particular. An alternative notion of qualitativeness—which I propose to refer to as a concept of strict qualitativeness—has recently been introduced by Chad Carmichael. However, Carmichael’s definition (...) presupposes a highly fine-grained conception of properties and relations. To eliminate this presupposition, I tentatively suggest a different definition that rests on a concept of perspicuous denotation. In the penultimate section, both concepts of qualitativeness are put to work in distinguishing between different ‘grades’ of qualitative discriminability. (shrink)

In Religion within the Bounds of Mere Reason Kant famously argues that the moral quality of an an agent’s actions depends on the moral quality of their moral character and since their moral character can be either absolutely good or absolutely bad, all of an agent’s actions share the same moral quality: good or evil (R 6: 22). This claim, which implies that any agent who is not wholly good must therefore be wholly evil, has vexed Kant’s readers. Ordinary moral (...) intuitions suggest that differences in moral character come in degrees, and leaving some room for moral variance seems necessary to any account of moral corruption and improvement. What is not often remarked upon is that Kant’s rigorism about moral character stands in apparent tension with his own account, given that in the same work, of the Stufen, levels or grades, of evil: frailty, impurity, and wickedness. I argue that rigorism is grounded in a philosophical insight which we should not give up and show that we can preserve it while making room for the complexity of moral failure if we understand the first two grades of evil, frailty and impurity, as states of moral immaturity, a condition that precedes the acquisition of a stable moral character. To substantiate the claim, I argue that the idea of the acquisition of character must play a wholly different role in Kant’s practical philosophy than that accorded to it on standard readings. Not merely an “empirical” concern, the acquisition of character must be understood as a genuinely rational accomplishment: the development and determination of our uniquely rational capacities for feeling, necessary for the development of stable moral character. (shrink)

Recently, due to the rapid progress of computer technology, researchers develop an effective computer program to enhance the achievement of the student in learning process, which is Intelligent Tutoring System (ITS). Science is important because it influences most aspects of everyday life, including food, energy, medicine, leisure activities and more. So learning science subject at school is very useful, but the students face some problem in learning it. So we designed an ITS system to help them understand this subject easily (...) and smoothly by analyzing it and explaining it in a systematic way. In this paper, we describe the design of an Intelligent Tutoring System for teaching science for grade seven to help students know the 7 characteristics for living things smoothly. The system provides all topics of living things and generates some questions for each topic and the students should answer these questions correctly to move to the next level. In the result of an evaluation of the ITS, students like the system and they said that it is very useful for them and for their studies. (shrink)

Reading proficiency plays a vital role in keeping up-to-date with technological advancements and innovations in education. However, there are Grade 7 students who need help with the essential skill of reading. These students need support for them to cope with the classroom demands. This transcendental phenomenological qualitative research aims to determine the academic experiences of struggling readers inside the classroom. Five struggling readers were the participants of this study. These five participants were purposefully selected after being recommended by the school (...) reading coordinator. The interview guide questionnaire was the instrument of this study. The interview guide questionnaire contains open-ended questions that were validated by experts. One-on-one interviews were conducted for about 20 to 40 minutes each. Using an audio recorder, the interviews were recorded. After the interview, a verbatim transcription was made and thematic analysis was utilized to analyze the significant lines of the participants. The following themes were elicited from the participants' responses, namely: lack of computer skills, limited visual attention span, hesitation and anxiety to participate, difficulty in interaction, difficulty with the use of technology in education, confusion with letter-sound identification, less motivation to learn, problem understanding the lesson, and slow in taking down notes. The participants attributed their reading difficulties to themselves, their teachers, and their parents. In light of these findings, it is strongly recommended that a robust and comprehensive reading recovery program be implemented. This program should address struggling readers' multifaceted challenges and provide them with the necessary support to enhance their reading proficiency and overall academic performance. (shrink)

This paper aims to address the difficulties of high school students in bridging their computational understanding with their visualization skills in understanding the notion of the limits in their calculus class. This research used a pre-experimental one-group pretest-posttest design research on 62 grade 10 students enrolled in the Science, Technology, and Engineering Program (STEP) in one of the public high schools in Zamboanga del Sur, Philippines. A series of remedial sessions were given to help them understand the function (...) values, one-sided limits, limits of a function, and its discontinuities with the aid of the GeoGebra. Results revealed that there is a significant improvement in their mathematics performance before and after the remediation, t(61) = -19.99, p<.05. The real-time feedback provided by the drawing interface of GeoGebra has provided the students the insights into how objects behave in geometrical space, bridging their understanding in locating the values shown by the computational algebraic processes. Additionally, the significant difference in the achievement reveals a large effect size (Cohen’s =2.54) which could be accounted for by the remediation using interactive activities in the GeoGebra. (shrink)

In this paper, I analyze the role of phenomenal knowledge in understanding the experiences of the victims of hermeneutical injustice. In particular, I argue that understanding that is enriched by phenomenal knowledge is a powerful tool to mitigate hermeneutical injustice. I proceed as follows: Firstly, I investigate the requirements for a full understanding of the experiences at the center of hermeneutical injustice and I argue that phenomenal knowledge is key to full understanding. Secondly, I distinguish between (...) direct phenomenal knowledge and imaginative phenomenal knowledge. Thirdly, I investigate whether one can gain imaginative phenomenal knowledge of the experiences of members of social groups other than one´s own. I consider reasons for pessimism in this regard and show that they are not conclusive. Then, I provide a model of how outgroup members can acquire imaginative knowledge of the experiences of the victims of hermeneutical injustice. Finally, I connect the varieties of phenomenal knowledge with different grades of understanding an experience and I outline how understanding that involves imaginative phenomenal knowledge helps to overcome various forms of hermeneutical injustice. (shrink)

There are two distinct but related threads in this article. The first is methodological and is aimed at exploring the relative merits and faults of different operational definitions of consciousness. The second is conceptual and is aimed at understanding the prior commitments regarding the nature of conscious content that motivate these positions. I consider two distinct operationalizations: one defines consciousness in terms of dichotomous subjective reports, the other in terms of graded subjective reports. I ultimately argue that both (...) approaches are inadequate and that a third alternative that involves integration of subjective report and task performance should be adopted. (shrink)

The study determined the influence of innate mathematical characteristics on the number sense competencies of junior high school students in a Philippine public school. The descriptive-correlational research design was used to accomplish the study involving a nonrandom sample of sixty 7th-grade students attending synchronous math sessions. Data obtained from the math-specific Learning Style and Self-Efficacy questionnaires and the modified Number Sense Test (NST) were analyzed and interpreted using descriptive statistics, Pearson’s Chi-Square, and Simple Linear Regression analysis. The research instruments and (...) statistics were all validated and tested for reliability. The analysis revealed that the students are visual learners, had no or slight self-efficacy, and their number sense competency level is poor. They encountered difficulty in all the components and domains of the NST. Moreover, the students’ mathematical self-efficacy is significantly related and may influence their number sense competency level. Building upon the learners’ self-efficacy to further their understanding and skills in number sense is necessary. (shrink)

Impulse and momentum are basic concepts of mechanics introduced in the K to 12 curricula. Despite its basic concepts, students still have difficulties understanding the topic, especially when they are out of school due to the pandemic. After reopening the gates for face–to–face classes in the Philippines, the researchers found a significant reason to conduct a lesson study to improve teaching strategies on the topic. Lesson study is a development process wherein teachers work collaboratively to improve teachers teaching capacity. (...) This study was conducted at Plaridel National High School with 23 participants from Grade 9 Newton (Set A and B). The research was conducted in two cycles using a four – phase lesson study. The research lesson was implemented using a 4A Model lesson plan and the results were taken from the analysis of the lesson study observation sheets, along with the class proficiency level. The researchers used the following strategies to improve teaching, namely; (1) showing mastery of subject matter, (2) reviewing basic mathematical operations, (3) contextualizing the lesson, (4) allowing students to answer questions in mother tongue, (5) using collaborative activities, (6) giving rewards, and (7) applying proper time management. However, the findings still showed that both sets of students achieved beginning proficiency level. Despite the implementation of these strategies, the students still lack basic knowledge of the topic and mathematical operations, and they struggle to understand it. Thus, it is recommended to plan the lesson effectively, utilize other research instruments, and collect feedback from the students. (shrink)

Immanuel Kant’s notion of weakness or frailty warrants more attention, for it reveals much about his theory of motivation and general metaphysics of mind. As the first and least severe of the three grades of evil, frailty captures those cases where an agent fails to act on their avowed recognition that the moral law is the only legitimate determining ground of the will. The possibility of such cases raises many important questions that have yet to be settled by interpreters. Most (...) importantly, should we account for the failures of weakness by appealing to the activity of reason or sensibility? I will discuss this question in light of a tendency to adopt an overly dualistic reading of Kant’s moral psychology. Focusing on Kant’s remarks on weakness from the Religion and the Metaphysics of Morals, I argue that we should understand weakness as arising from the unique difficulties of sense-dependent judgment, rather than from self-deception, flagging commitment, or overwhelming desire. The resulting account offers a unified moral psychology capable of accommodating the many features of weakness that are difficult to reconcile on other readings. (shrink)

Two major lines of argument support the notion that Hildegard of Bingen’s metaphysics is peculiarly gynocentric. Contra the standard commentary on her work, the focus is not on the notion of viriditas; rather, the first line of argument presents a specific delineation of her ontology, demonstrating that it is a graded hierarchy of beings, many of which present feminine aspects of the divine, and all of which establish the metaphysical notion of interpenetrability. The second line of argument specifically contrasts (...) her thought to that of Aquinas and Meister Eckhart, noting areas of similarity and difference. It is concluded that the visionary origins of Hildegard’s work may have to some extent precluded our understanding of it, and that her work merits consideration not only philosophically and theologically but from the standpoint of its early presentation of a gynocentric worldview. (shrink)

Holding students to high standards and assessing, measuring and evaluating their learning with challenging, authentic problems in the midterm and final exams is the goal of the professors who teach core signal processing concepts. However, the heavy reliance of these subjects on mathematics makes it difficult for students to genuinely grasp the concepts and relate to a conceptual framework. Specifically, analyzing the signals and the functionality of systems in Fourier domain; separating the system level analysis from signal level analysis; and (...) understanding how they are related in time domain and frequency domain are among the most challenging concepts. Students’ lower grades observed over past years in the introductory signal processing course exposed a potential disconnect between the actual level of learning and the high expectations set by the professors. In this paper, we present the active learning techniques that we implemented in one of the summer session offerings of this course in our department. The research explored Peer Instruction, pre-class reading quizzes and post-lecture quizzes. In addition to the mid and end of the quarter survey results, the comparison analysis of the grades students achieved in the active learning integrated course in the second summer session and the standard course offered in first summer session is discussed. According to our results, the developed techniques helped students in the active classroom perform significantly better than their peers participating in standard lectures when tested by challenging questions in their exams. (shrink)

At the beginning of 2020, the world was experiencing the Covid-19 pandemic, and Indonesia was no exception. The occurrence of this affects the learning system in Indonesia, the learning system that was originally face-to-face was forced to online form, in this case the teachers are required to provide a creative, efficient and optimal learning system for students. So the purpose of this study is to find out the difference in the average learning result of elementary school students during the pandemic. (...) The method used in this study is quantitative with a posttest-only control group design. The population in this study were grade 4 elementary school students in Majalengka district, Indonesia. There were 64 samples and was taken by purposive sampling. The results of this study are that there are differences in the average student learning results where students who study with the hybrid learning system are higher than the face-to-face learning system. The hybrid learning system is very reliable in the 4.0 era as well as learning during the Covid-19 pandemic. However, for the record, it is necessary to look at the facilities and infrastructure considering that this system relies on technology, it is necessary to understand and be able to control the learning media for both teachers and students so that learning outcomes can be optimal and minimize the occurrence of obstacles. The present study revealed the implementation of 21st century learning. (shrink)

Modular learning was used to assist elementary learners in continuing their education during the pandemic. This modular learning posed academic challenges. This phenomenological study delved into the academic challenges of modular learning of public-school elementary school learners. Validated In-depth interview protocol (IDI) was used to collect the data from ten (10) Grade six learners. Findings revealed that these academic challenges include unfavorable learning environments, reading comprehension issues, lack of motivation, and poor quality of printed learning modules that affect the learners (...) ability to comprehend and finish the module effectively. Consequently, modular learning allows learners to take responsibility for their learning by utilizing the available answers key, optimizing internet usage, scheduling time properly, and guessing answers. Considerably, the learners used face-to-face conversations, personal messages, and phone calls to communicate their educational queries. Moreover, the structure of self-learning modules facilitates independent study and complicates learners understanding. It is recommended that there is a need to enhance policies for improving module quality, allocate sufficient funds to improve the printed module quality, conduct relevant teacher training and workshops for developing quality printed modules, and sustain the home visitation program to monitor students modular learning progress. (shrink)

The contemporary revival of Eucharistic ecclesiology has occurred alongside a new understanding of the episcopacy as a distinct grade of holy orders. Both of these developments make possible a new synthetic understanding of the presbyterate, building on classical theological approaches to orders that incorporate both of these perspectives. In this essay, I will attempt to show how the theology of the presbyterate articulated by Thomas Aquinas might help supplement and be supplemented by that of John Zizioulas. The synthesis (...) I propose has the merit of corresponding with much of the classical approach to orders, while advancing a new thesis on the Eucharistic role of the presbyterate that establishes a clearer connection between contemporary ecclesiology and the theology of holy orders. (shrink)

Testing is one of the core educational assessment practices in higher education for performance appraisal, placement and decision-making. Testing in education is also used to assess students’ level of understanding, knowledge and skills possessed after completing a course or a programme. Based on significant importance, it is very glaring that different higher institutions of learning and beyond are using this valuable tool for grading students’ performance. It.

To varying degrees, many of us think we are “self-made.” Some explicitly state—while others imply—that our accomplishments resulted (almost) entirely from our intelligence, ingenuity, and hard work There is qualified truth in this supposition, even although it is commonly overstated. Others think they are pawns in the chess game of life. However, although some have less control than those more privileged, few are devoid of control. This tandem of judgments is akin to our propensity to make asymmetrical judgments about our (...) actions (and those we like) relative to judgments of those we dislike. We often blame our failures on something other than our ill-advised choices, limited abilities, or lack of persistence. If we receive a poor grade, do not land a desired job or coveted promotion, or are spurned by a potential lover, we often blame another, bad luck, or unfortunate circumstances. We scrounge for ways to excuse or mitigate our responsibility when things turn out badly, while taking credit when actions turn out well. We do not do same for negative traits or actions of those we dislike. The phenomenon I discuss in this paper, however, is more pervasive than blame-deflection or inappropriate pride. Even some who think the notion of the “self-made person” borders on a straw person, also think that we have considerable direct control of our lives. We do not. Although we are not leaves tossed by winds of circumstance, we are shaped by complex causal chains largely beyond our control. After seeing this broadly and in detail, we understand the limits on control and why it is not direct By understanding that and how we are shaped by cultures, governments, businesses, and others, we can isolate levers that help us maximize control we do have. (shrink)

This study was conducted to determine which domains of inquiry-based science activities that significantly influence the students’ achievement of grade 10 learners. The study employed a quantitative, non-experimental method employing causal- effect. Mean, Pearson-r, and Regression Analysis were the statistical tools used to determine the level, relationship, and influence of each variable. The respondents comprised 332 grade 10 students from the four main secondary schools of District 1 in the Division of Compostela Valley, Province of Compostela Valley, for the School (...) Year 2018-2019. The findings of the study revealed a high level of inquiry-based science activities in terms of engagement, exploration, explanation, elaboration, and evaluation. This study also revealed that the level of students’ achievement was high in terms of cognitive development, laboratory skills, science process skills and understanding of science knowledge. The correlation between two variables of the study revealed significant relationship between inquiry-based science activities and students’ achievement. Lastly, the study revealed that exploration, explanation, elaboration, and evaluation are the domains of inquiry-based science activities that significantly influence students’ achievement. However, engagement appeared to be non-significant hence the null hypothesis is not rejected. (shrink)

The fourth goal in Sustainable Development Goals (SDG) spells out Quality Education that demands teachers across all disciplines to teach effectively. The available literature suggests that teaching effectiveness starts from good planning, which should be evident in the documentation of lesson plans. However, when it comes to English teachers, their demanding roles that are attributed to the value-laden content, the grading of essays, the performance pressure of high-stake testing, and the requirement of culturally appropriate pedagogies (Loh & Liew, 2016)have caused (...) the practice of writing lesson plans to be challenged, causing the effectiveness of the teaching to be jeopardised. English teachers in international schools are not exempted from facing this problem, yet little studies have been done on the teachers in this context. To achieve the purpose, this research adopts a case study design using document analysis and semi-structured interview to collect the data. The data were analysed quantitatively using a lesson plan rubric by Student Teacher Assessment Instrument (STAI) and thematic analysis, respectively. The study unveils that the teachers had a moderate level of lesson plan, suggesting a need for further support in lesson planning. The findings of this study will be helpful for English. Teachers understand the importance of writing an effective lesson plan as it has a high possibility of enhancing teaching effectiveness. (shrink)

The development of conversational artificial intelligence (AI) has brought about new opportunities for improving the learning experience in education. ChatGPT, a large language model trained on a vast corpus of text, has the potential to revolutionize education by enhancing learning through personalized and interactive conversations. This paper explores the benefits of integrating ChatGPT in education in Thailand. The research strategy employed in this study was qualitative, utilizing in-depth interviews with eight key informants who were selected using purposive sampling. The collected (...) data was analyzed using content analysis and the software NVivo. The study's results indicated that ChatGPT can provide personalized learning experiences by adapting to individual student needs and preferences. Its ability to understand natural language and context can also facilitate more meaningful interactions between students and the system. Additionally, ChatGPT can assist with administrative tasks such as grading and feedback, allowing educators to focus on more personalized and meaningful interactions with students. Furthermore, ChatGPT can serve as a valuable tool for remote learning, providing students with the ability to access educational resources and support outside of traditional classroom settings. The paper also discusses potential ethical considerations in utilizing AI in education, such as data privacy and bias. Overall, this paper argues that the integration of ChatGPT in education has the potential to enhance the learning experience for students by providing personalized, interactive, and efficient support. (shrink)

Assignment feedback is key to helping students improve and correct their understanding so they can build upon solid foundations of knowledge as their course progresses. Yet, I found that about 30% of students review their feedback. It is not because students are lazy but because they struggle to find the time and often have little immediate incentive to review feedback for something that has already been graded when they have other assignments to work on. Feedback is most effective (...) when it is shared with students while they are still working on the assignment. In this article, I share how regular quizzes as a tool to ensure students review their assignment feedback and address gaps in their understanding. (shrink)

Viet Nam is at the beginning of the Fourth Industrial Revolution. In order to grasp the opportunities that the revolution has brought about, and to successfully build the society of digital citizens, there must be the demand of enhancing the capacity and capability for students to meet international standards in terms of Information and Communications Technology (ICT) skills. Viet Nam was selected as one of the four countries (Viet Nam, Bangladesh, Fiji, and the Republic of Korea) to join UNESCO Bangkok’s (...) “Digital Kids Asia Pacific (DKAP)” project, a comparative cross-national study with the aim to seek the understanding and address children’s ICT practices, attitudes, behaviors, and competency levels within an educational context. Thanks to the project, the Vietnamese research team completely conducted the survey in twenty (20) schools from five (5) provinces in Viet Nam. With the data on the digital citizenship competency levels of 1,061 10th grade students, the research team discovered the valuable findings to draw an initial big picture for Vietnamese policy makers, educators, and teachers about digital citizenship competencies of 15-year-old Vietnamese students. (shrink)

Recently, due to the rapid progress of computer technology, researchers develop an effective computer program to enhance the achievement of the student in learning process, which is Intelligent Tutoring System (ITS). Science is important because it influences most aspects of everyday life, including food, energy, medicine, leisure activities and more. So learning science subject at school is very useful, but the students face some problem in learning it. So we designed an ITS system to help them understand this subject easily (...) and smoothly by analyzing it and explaining it in a systematic way. In this paper, we describe the design of an Intelligent Tutoring System for teaching science for 7th grade to help students know the 7 characteristics for living things smoothly. The system provides all topics of living things and generates some questions for each topic and the students should answer these questions correctly to move to the next level. An evaluation was done for checking the students and teachers satisfaction of the ITS. The results of the evaluation showed that the students and teachers liked the system and they said that the system is very useful for them and for their studies. (shrink)

The difficulty of primary students in solving simple fractions is because students fail to understand the concept of simple fractions. Meanwhile, the results of previous studies allow the integration of PowToon animation multimedia into a constructivist approach to facilitate the conception of the simple fraction. This research aims to develop constructivist-based PowToon animation multimedia (CoPAM) as a valid, practical, and effective learning media for simple fraction material. PowToon was developed using a research and development (R&D) method with a define, design, (...) and development (3-D) model that involved 12 fourth-grade primary students. The data analysis used was descriptive analysis with data collection methods using observation, tests (pre-test and post-test), validation questionnaires (validation of media and material experts, teacher responses, and student responses), and documentation. The results showed that CoPAM has very feasible product criteria for validity, practicality, and effectiveness to facilitate primary students in understanding simple fractions. The recommendations for the next study are needed to further develop and test CoPAM products or the like (which could go through the dissemination stage) by involving a larger and wider number of participants by testing inferential statistics. (shrink)

This article studies common aspects and differences between Heidegger, contemporary German philosopher, with Persian philosopher, Mulla Sadra 17th century equivalent to 11th Islamic century. The origin point for Mulla Sadra and Heidegger is "existence". However, Mulla Sadra believe in "existence unity" whereas Heidegger tries to understand the concept of "existence" by special being, i.e. human being. Both of them believe in supposing the concept of human without world is wrong, they believe in dichotomy of mind, being is wrong, and there (...) is a unity between objective and sane. Both reached from thing to being, but Heidegger by "Phenomenology", and Mulla Sadra by "metaphysics." Both believe in priority of existence before nature, or virtual validity of nature. Although Heidegger considers existence just for threshold, and Mulla Sadra believes origin of existence is the same and it includes for all beings versus of null. Briefly, for Heidegger same as Hegel, being as being has no value, whereas for Mulla Sadra this type of being is highest grade of existence. Heidegger returns into illumination, while his illumination is different from Mulla Sadra's illumination, his illumination is same as Buddhism "human for human" not from higher world for human. According to Heidegger, existence changes have cultural and historical meaning. Whereas according to Mulla Sadra the concept of existence is common, meaning and it is understood with illumination . (shrink)

This paper sought to investigate the fundamental differences in mathematics education through a comparison of curriculum of 2 countries—Singapore and Canada (as represented by Ontario)—in order to discover what the Ontario education system may learn from Singapore in terms of mathematics education. Mathematics curriculum were collected for Grades 1 to 8 for Ontario, and the equivalent in Singapore. The 2 curriculums were textually analyzed based on both the original and the revised Bloom’s taxonomy to expose their foci. The difference in (...) focus was then compared and discussed to find the best ways to improve the Ontario mathematics curriculum. With one of the best education systems in North America, the Ontario mathematics curriculum would only need to refocus its attention towards a more balanced approach, with greater focus on understanding through practices. Ontario would benefit greatly from a deeper research into the Singaporean math curriculum. (shrink)

Theories of graded causation attract growing attention in the philosophical debate on causation. An important field of application is the controversial relationship between causation and moral responsibility. However, it is still unclear how exactly the notion of graded causation should be understood in the context of moral responsibility. One question is whether we should endorse a proportionality principle, according to which the degree of an agent’s moral responsibility is proportionate to their degree of causal contribution. A second question (...) is whether a theory of graded causation should measure closeness to necessity or closeness to sufficiency. In this paper, we argue that we should indeed endorse a proportionality principle and that this principle supports a notion of graded causation relying on closeness to sufficiency rather than closeness to necessity. Furthermore, we argue that this insight helps to provide a plausible analysis of the so-called ‘Moral Difference Puzzle’ recently described by Bernstein. (shrink)

This paper proposes a new model of graded modal judgment. It begins by problematizing the phenomenon: given plausible constraints on the logic of epistemic modality, it is impossible to model graded attitudes toward modal claims as judgments of probability targeting epistemically modal propositions. This paper considers two alternative models, on which modal operators are non-proposition-forming: (1) Moss (2015), in which graded attitudes toward modal claims are represented as judgments of probability targeting a “proxy” proposition, belief in which (...) would underwrite belief in the modal claim. (2) A model on which graded attitudes toward modal claims are represented as judgments of credence taking as their objects (non-propositional) modal representations (rather than proxy propositions). The second model, like Moss’ model, is shown to be semantically and mathematically tractable. The second model, however, can be straightforwardly integrated into a plausible model of the role of graded attitudes toward modal claims in cognition and normative epistemology. (shrink)

There are several relations which may fall short of genuine identity, but which behave like identity in important respects. Such grades of discrimination have recently been the subject of much philosophical and technical discussion. This paper aims to complete their technical investigation. Grades of indiscernibility are defined in terms of satisfaction of certain first-order formulas. Grades of symmetry are defined in terms of symmetries on a structure. Both of these families of grades of discrimination have been studied in some detail. (...) However, this paper also introduces grades of relativity, defined in terms of relativeness correspondences. This paper explores the relationships between all the grades of discrimination, exhaustively answering several natural questions that have so far received only partial answers. It also establishes which grades can be captured in terms of satisfaction of object-language formulas and draws connections with definability theory. (shrink)

This paper offers a critical assessment of the current state of the debate about the identity and individuality of material objects. Its main aim, in particular, is to show that, in a sense to be carefully specified, the opposition between the Leibnizian ‘reductionist’ tradition, based on discernibility, and the sort of ‘primitivism’ that denies that facts of identity and individuality must be analysable has become outdated. In particular, it is argued that—contrary to a widespread consensus—‘naturalised’ metaphysics supports both the acceptability (...) of non-qualitatively grounded (both ‘contextual’ and intrinsic) identity and a pluralistic approach to individuality and individuation. A case study is offered that focuses on non-relativistic quantum mechanics, in the context of which primitivism about identity and individuality, rather than being regarded as unscientific, is on the contrary suggested to be preferable to the complicated forms of reductionism that have recently been proposed. More generally, by assuming a plausible form of anti-reductionism about scientific theories and domains, it is claimed that science can be regarded as compatible with, or even as suggesting, the existence of a series of equally plausible grades of individuality. The kind of individuality that prevails in a certain context and at a given level can be ascertained only on the basis of the specific scientific theory at hand. (shrink)

Juries, committees and experts panels commonly appraise things of one kind or another on the basis of grades awarded by several people. When everybody's grading thresholds are known to be the same, the results sometimes can be counted on to reflect the graders’ opinion. Otherwise, they often cannot. Under certain conditions, Arrow's ‘impossibility’ theorem entails that judgements reached by aggregating grades do not reliably track any collective sense of better and worse at all. These claims are made by adapting the (...) Arrow–Sen framework for social choice to study grading in groups. (shrink)

This essay develops standards for grading religions including various forms of spiritualism. First, I examine the standards proposed by William James, John Hick, Paul Knitter, Dan Cohn-Sherbok, and Harold Netland. Most of them are useful in grading religions with or without conditions. However, those standards are not enough for refined and piercing evaluation. Thus, I introduce standards used in spiritualism. Although those standards are for grading spirits and their teachings, they are useful in refined and piercing evaluation of religious phenomena. (...) The spiritual standards complement James's, Hick's, Knitter's, and Netland's standards. Although most of the spiritual standards are rationally unjustifiable, they have practical value. (shrink)

Functionally graded materials (FGMs) have been used in many different kinds of applications in recent years and have attracted significant research attention. However, we do not yet have a commonly accepted way of representing the various aspects of FGMs. Lack of standardised vocabulary creates obstacles to the extraction of useful information relating to pertinent aspects of different applications. A standard resource is needed for describing various elements of FGMs, including existing applications, manufacturing techniques, and material characteristics. This motivated the (...) creation of the FGM Ontology (FGMO) in 2016. Here, we present a revised and expanded version of the FGM Ontology, which includes enrichments along four dimensions: (1) documenting recent FGMs applications; (2) reorganising the framework to incorporate an updated representation of types of manufacturing processes; (3) enriching the axioms of the ontology; and (4) importing mid-level ontologies from the Common Core Ontologies (CCO) and Product Life Cycle (PLC) Ontologies. The work is being carried out within the framework of the Industry Ontology Foundry (IOF), and the ontology is conformant to Basic Formal Ontology (BFO). (shrink)

The inclusion of attendance and participation in course grade calculations is ubiquitous in postsecondary syllabi, but can penalize the silent or anxious student unfairly. I outline the obstacles posed by social anxiety, then describe an assignment developed with the twin goals of assisting students with obstacles to participating in spoken class discussions, and rewarding methods of participation other than oral interaction. When homework assignments habituating practices of writing well-justified questions regarding well-documented passages in reading assignments are the explicit project of (...) weekly class meetings, participation increases on the part of all students. My focus shifted away from concern that I must get students to talk more, and turned instead to ensuring their marks reflected their learning rather than their speaking. Students’ improved engagement as a result of the assignment bears out evidence in the literature for active learning and for alternatives to taking attendance and quantifying participation. (shrink)