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)

Mindset plays a vital role in tackling the barriers to improving the preservice mathematics teachers’ (PMTs) conceptual understanding of problem-solving. As the COVID-19 pandemic has continued to pose a challenge, online learning has been adopted. This led this study to determining the PMTs’ mindset and level of conceptual understanding in problem-solving in an online learning environment utilising Google Classroom and the Khan Academy. A quantitative research design was employed specifically utilising a descriptive, comparative, and correlational design. Forty-five PMTs were chosen (...) through simple random sampling and willingly took part in this study. The data was gathered using validated and reliable questionnaires and problem-solving tests. The data gathered was analysed using descriptive statistics, analysis of variance, and simple linear regression. The results revealed that the college admission test, specifically numerical proficiency, influences a strong mindset and a higher level of conceptual understanding in problem-solving. Additionally, this study shows that mindset predicts the levels of conceptual understanding in problem-solving in an online environment where PMTs with a growth mindset have the potential to solve math problems. The use of Google Classroom and the Khan Academy to aid online instruction is useful in the preparation of PMTs as future mathematics teachers and problem-solvers. Further studies may be conducted to validate these reports and to address the limitations of this study. (shrink)

The study assessed the conceptual understanding and attitude toward fractions of teacher education students in a socio-constructivist learning environment. Specifically, it determined the students’ level of conceptual understanding before and after instruction; verified the types of conceptual changes that occurred; and ascertained the attitude of students toward fractions before and after instruction and its relationship to their levels of understanding. Descriptive-correlational research method was used. Socio-constructivist context-based teaching method was employed to introduce the concept of fractions. Achievement tests and interviews (...) were administered to determine the students’ level of conceptual understanding. Conceptual analysis based on Jensen and Finley’s (1995) method with Tiberghien’s (1994) classification of changes was utilized to describe students’ conceptual understanding and conceptual changes. In order to determine their attitude on fractions, students were asked to answer the socio-constructivist attitude questionnaire. The level of conceptual understanding of teacher education students in fraction was functional misconception and partial understanding before and after instruction, respectively. The type of conceptual change that occurred among teacher education students was change for the better. Socio-constructivist learning more likely to improve students’ attitudes toward fractions; promoted prosocial behavior among students; and tend to increase students’ activeness in the classroom activities as evidenced. (shrink)

This research project analyzes a strategy for teaching philosophy in secondary school inspired by Socratic dialogue, which aims at the creation and effective management of cognitive dissonance as a tool for promoting critical thinking, called Socratic Challenge (SC). The research originates from workshops held in the years 2016/2019 in a technical and vocational institute in the province of Varese, in which I participated as the creator and conductor, involving the voluntary participation of about 150 students. The research questions are: What (...) are the characteristics of the Socratic Challenge? Can it constitute a teaching methodology to be proposed? Under what conditions? Within what project framework? The empirical research is qualitative, naturalistic, and exploratory (Lumbelli, 1984), specifically a self-study (Hamilton & Pinnegar 2009), divided into two phases. In the first phase, data regarding motivation and perceptions of training impact were collected through in-depth interviews of students (16) and analyzed using the criteria of reflective thematic analysis (Braun & Clarke 2019). In the second phase, the workshops were repeated remotely in technical and vocational institutes in Milan and the province, involving 113 students who were surveyed with a qualitative questionnaire. The workshops were recorded and the discussion interactions were analyzed according to a qualitative inductive approach that refers to Constructivist Grounded Theory (Charmaz, 2006). Results show how this dialogical instructional strategy in philosophy teaching can be considered an effective alternative to the historical-philosophical approach predominant in the Italian tradition (Illetterati 2007). (shrink)

This paper critically reviews and characterizes the student's causal-explanatory understanding; this is done as a step toward explicating the problematic of evolution education as it concerns the cognitive difficulties in understanding Darwin's theory of natural selection. The review concludes that the student's understanding is fundamentally different from Darwin's, for the student understands evolutionary change as necessary individual transformation caused by the transformative action of various physical and behavioral factors. This is in complete contrast to Darwin's (and even the Darwinian's, for (...) that matter) understanding of evolutionary change as a change caused by accumulative selection. Hence, to understand natural selection, the student has to learn to “see” how the accumulative selection causes evolutionary change. (shrink)

We have a mentalistic view of objects. This is due to the interdependence of folk psychology and folk physics, where these are interconnected by what I call Teleological Commingling. When considering events that don’t involve agents, we naturally default to tracking intentions, goal-directed processes, despite the fact that agents aren’t involved. We have a deep-seated intentionality bias which is the result of the pervasive detection of agency cues, such as order or non-randomness. And this gives rise to the Agentive Worldview: (...) we view nature as a whole as being infused with agency and purpose. Teleological Commingling and the Agentive Worldview it gives rise to are at the core of our conception of objects. I maintain that the ordinary view of material objects is rooted in an implicit, false theory. It should be given no weight in metaphysical debates about the nature of material objects. And this problematizes the central methodological assumption that metaphysical theories of material objects should be beholden to common sense. (shrink)

This set of seven experiments examines reasoning about the inheritance and acquisition of physical properties in preschoolers, undergraduates, and biology experts. Participants (N = 390) received adoption vignettes in which a baby animal was born to one parent but raised by a biologically unrelated parent, and they judged whether the offspring would have the same property as the birth or rearing parent. For each vignette, the animal parents had contrasting values on a physical property dimension (e.g., the birth parent had (...) a short tail; the rearing parent had a long tail). Depending on the condition, the distinct properties had distinct functions (“function-predictive”) were associated with distinct habitats (“habitat-predictive”), or had no implications (“non-predictive”). Undergraduates' bias to view properties as inherited from the birth parent was reduced in the function- and habitat-predictive conditions. This result indicates a purpose-based view of inheritance, whereby animals can acquire properties that serve a purpose in their environment. This stance was not found in experts or preschoolers. We discuss the results in terms of how undergraduates' purpose-based inheritance reasoning develops and relates to larger-scale misconceptions about Darwinian evolutionary processes, and implications for biology education. (shrink)