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)

Generic statements (‘Tigers have stripes’) are pervasive and early-emerging modes of generalization with a distinctive linguistic profile. Previous experimental work found that generics display a unique asymmetry between their acceptance conditions and the implications that are typically drawn from them. This paper presents evidence against the hypothesis that only generics display an asymmetry. Correcting for limitations of previous designs, we found a generalized asymmetry effect across generics, various kinds of explicitly quantified statements (‘most’, ‘some’, ‘typically’, ‘usually’), and variations in types (...) of predicated properties (striking vs. neutral). We discuss implications of these results for our understanding of the source of asymmetry effects and whether and in which ways these effects might introduce biased beliefs into social networks. (shrink)

Robots as social companions in close proximity to humans have a strong potential of becoming more and more prevalent in the coming years, especially in the realms of elder day care, child rearing, and education. As human beings, we have the fascinating ability to emotionally bond with various counterparts, not exclusively with other human beings, but also with animals, plants, and sometimes even objects. Therefore, we need to answer the fundamental ethical questions that concern human-robot-interactions per se, and we need (...) to address how we conceive of »good lives«, as more and more of the aspects of our daily lives will be interwoven with social robots. (shrink)

How feasible are conceptual engineering projects of social concepts that aim for the engineered concept to be widely adopted in ordinary everyday life? Predominant frameworks on the psychology of concepts that shape work on stereotyping, bias, and machine learning have grim implications for the prospects of conceptual engineers: conceptual engineering efforts are ineffective in promoting certain social-conceptual changes. Specifically, since conceptual components that give rise to problematic social stereotypes are sensitive to statistical structures of the environment, purely conceptual change won’t (...) be possible without corresponding world change. This tradition, however, tends to ignore that concepts don’t only encode statistical, but also causal information. Paying attention to this feature of concepts, I argue, shows that conceptual engineering is not only possible. There is an imperative to conceptually-engineer. (shrink)

In this paper, I develop an essentialist model of the semantics of slurs. I defend the view that slurs are a species of kind terms: Slur concepts encode mini-theories which represent an essence-like element that is causally connected to a set of negatively-valenced stereotypical features of a social group. The truth-conditional contribution of slur nouns can then be captured by the following schema: For a given slur S of a social group G and a person P, S is true of (...) P iff P bears the “essence” of G—whatever this essence is—which is causally responsible for stereotypical negative features associated with G and predicted of P. Since there is no essence that is causally responsible for stereotypical negative features of a social group, slurs have null-extension, and consequently, many sentences containing them are either meaningless or false. After giving a detailed outline of my theory, I show that it receives strong linguistic support. In particular, it can account for a wide range of linguistic cases that are regarded as challenging, central data for any theory of slurs. Finally, I show that my theory also receives convergent support from cognitive psychology and psycholinguistics. (shrink)

John Rawls claims that public reasoning is the reasoning of ‘equal citizens who as a corporate body impose rules on one another backed by sanctions of state power’. Drawing on an amended version of Michael Bratman’s theory of shared intentions, I flesh out this claim by developing the ‘civic people’ account of public reason. Citizens realize ‘full’ political autonomy as members of a civic people. Full political autonomy, though, cannot be realised by citizens in societies governed by a ‘constrained proceduralist’ (...) account of democratic self-government, or the ‘convergence’ account of public justification formulated recently by Gerald Gaus and Kevin Vallier. (shrink)

One of the core insights from Eleanor Rosch’s work on categorization is that human categorization isn’t arbitrary. Instead, two psychological principles constrain possible systems of classification for all human cultures. According to these principles, the task of a category system is to provide maximum information with the least cognitive effort, and the perceived world provides us with structured rather than arbitrary features. In this paper, I show that Rosch's insights give us important resources for making progress on the 'feasibility question' (...) in conceptual engineering: the question of how we can implement conceptual engineering projects in ways that are practically feasible. Specifically, I show that one overlooked upshot of Rosch's work is that naming practices play an extremely important role in the construction of perceived similarities within and dissimilarities between categories, and, correspondingly, the dissemination of social stereotypes that serve as markers between different categories that are otherwise similar. Thus, naming practices will be a crucial constraint for the feasibility of certain ameliorative projects. (shrink)

In two recent papers, Rose and Nichols present evidence in favor of the view that humans represent category essences in terms of a telos, such as honey-making, and not in terms of scientific essences, such as bee DNA. In this paper, I challenge their interpretation of the evidence, and show that it is directly predicted by the main theory they seek to undermine. I argue that their results can be explained as instances of diagnostic reasoning about scientific essences.

In paradigmatic cases of subtweeting, one Twitter user critically or mockingly tweets about another person without mentioning their username or their name. In this chapter, we give an account of the strategic aims of subtweeting and the mechanics through which it achieves them. We thereby hope to shed light on the distinctive communicative and moral texture of subtweeting while filling in a gap in the philosophical literature on strategic speech in social media. We first specify what subtweets are and identify (...) the central features that give rise to their strategic mechanics. Next, we draw attention to problematic aspects of subtweeting and consider conditions under which subtweeting can be justified on moral and prudential grounds. The chapter concludes by discussing practical upshots and noting avenues for future work. (shrink)

Journal of Social Philosophy, EarlyView.

This article explores a concept of artistic transgression I call aesthetic disobedience that runs parallel to the political concept of civil disobedience. Acts of civil disobedience break some law in order to publicly draw attention to and recommend the reform of a conflict between the commitments of a legal system and some shared commitments of a community. Likewise, acts of aesthetic disobedience break some entrenched artworld norm in order to publicly draw attention to and recommend the reform of a conflict (...) between artworld commitments and some shared commitments of a community. Considering artistic transgressions under the concept of aesthetic disobedience highlights often-overlooked features of modern artworld practices. Most significantly, it draws attention to the deliberative participation of a wide variety of citizens of the artworld, including not just artists and performers but also members of audiences, in the transformation of the rules and boundaries of the artworld itself. (shrink)

Some theorists—including Elizabeth Anderson, Gerald Gaus, and Amartya Sen—endorse versions of 'public reason' as the appropriate way to justify political decisions while rejecting 'ideal theory'. This chapter proposes that these ideas are not easily separated. The idea of public reason expresses a form of mutual 'civic' respect for citizens. Public reason justifications for political proposals are addressed to citizens who would find acceptable those justifications, and consequently would comply freely with those proposals should they become law. Hence public reasoning involves (...) 'local ideal theorizing': the justification of political proposals includes their consideration and evaluation under conditions of compliance with them by the citizens to whom those justifications are addressed. Local ideal theorizing, moreover, can lead to 'full ideal theorizing', wherein citizens outline and evaluate an amended version of their society’s 'basic structure'. This argument is illustrated by some recent empirical work on inequality within the United States. (shrink)

Interest in the nature and importance of ‘childhood goods’ recently has emerged within philosophy. Childhood goods, roughly, are things that are good for persons qua children independent of any contribution to the good of persons qua adults. According to Colin Macleod, John Rawls’s political conception of justice as fairness rests upon an adult-centered ‘agency assumption’ and thus is incapable of incorporating childhood goods into its content. Macleod concludes that because of this, justice as fairness cannot be regarded as a complete (...) conception of distributive justice. In this paper I provide a political liberal response to Macleod’s argument by advancing three claims. First, I propose that political liberalism should treat leisure time as a distinct ‘primary good.’ Second, I suggest that leisure time should be distributed via the ‘basic needs principle’ and the ‘difference principle’ for all citizens over the course of their complete lives, including their childhoods. Third, the provision of leisure time in this way supports the realization of childhood goods for citizens. (shrink)

According to Philip Pettit, we should understand republican liberty, freedom as ‘non-domination,’ as a ‘supreme political value.’ It is its commitment to freedom as non-domination, Pettit claims, that distinguishes republicanism from various forms of liberal egalitarianism, including the political liberalism of John Rawls. I explain that Rawlsian political liberalism is committed to a form of non-domination, namely, a ‘political’ conception, which is: (a) limited in its scope to the ‘basic structure of society,’ and (b) ‘freestanding’ in nature (that is, compatible (...) with the ‘fact of reasonable pluralism’). I show that the political conception of non-domination is an integral part of political liberalism through an exploration of the kind of citizenship education that political liberalism mandates for all students. Such an education would impart to future citizen the skills and knowledge necessary for them to realize republican freedom vis-à-vis their political institutions, their workplaces, and, by means of an enforceable ‘right of exit,’ the various associations to which they might belong. (shrink)

Philosophers of music commonly distinguish performative from critical interpretations. I would like to suggest that the distinction between critical and performative interpretations is well captured by an analogy to legal critics and judges. This parallel draws attention to several features of performative interpretation that are typically overlooked, and deemphasizes epistemic problems with performative interpretations that I believe are typically blown out of proportion and ultimately fail to capture interesting features of performative interpretation. There is an important distinction to be made (...) between critical and performative interpretation, but its source lies in a difference between the authority of critical and performative interpretations. (shrink)

Citizens are politically autonomous insofar as they are subject to laws that are (a) justified by reasons acceptable to them and (b) authorized by them via their political institutions. An obstacle to the equal realization of political autonomy is the plurality of religious, moral, and philosophical views endorsed by citizens. Decisions regarding certain fundamental political issues (e.g., abortion) can involve citizens imposing political positions justified in terms of their respective worldviews upon others. Despite citizens’ disagreements over which worldview is correct, (...) ‘political liberalism’ claims that there is a form of political autonomy that is realizable within pluralist societies. (Political liberalism differs from ‘comprehensive liberalism’ by, inter alia, being ‘freestanding’ vis-à-vis citizens’ different worldviews.) Citizens can be politically autonomous if they enjoy equal political power and justify its exercise with ‘public reasons.’ A political liberal education would aim at ensuring that all students can become politically autonomous citizens by teaching them how to exercise their democratic rights effectively and how to engage in public reasoning. Some political and educational theorists, however, argue that teaching students how to be politically autonomous amounts to teaching them how to be ‘comprehensively’ autonomous. If this is so, then the distinction between political liberalism and comprehensive liberalism collapses, at least with respect to education. This chapter outlines the main elements of political liberalism, summarizes the main requirements of a political liberal citizenship education, and surveys three arguments in support of and against the thesis that a political liberal education amounts to an education for comprehensive autonomy. (shrink)

Rae Langton and Caroline West famously argued that pornography operates like a language game, in that it introduces certain views about women into the common ground via presupposition accommodation. While this pragmatic model explains how pornography has the potential to change its viewers’ beliefs, it leaves open how pornography changes people’s desires. Our aim in this paper is to show how Langton and West’s discourse theoretic account of pornography can be refined to close this lacuna. Using tools from recent developments (...) in discourse theory, we propose that pornography issues implicit directives, and thereby introduces bouletic components into the discourse. (shrink)

The ability to solve problems is a prerequisite in preparing mathematics preservice teachers. This study assessed preservice teachers’ problem-solving difficulties and performance, particularly in worded problems on number sense, measurement, geometry, algebra, and probability. Also, academic profile differences in the preservice teacher’s problem-solving performance and common errors were determined. A descriptive-comparative research design was employed with 158 random respondents. Data were gathered face-to-face during the first semester of the school year 2022-2023, and data were analyzed with the aid of jamovi (...) software, ensuring ethical measures. Overall findings revealed that the preservice teachers experienced average difficulty in solving problems. The low performance of the preservice teachers on the given problems was also demonstrated. Further analysis revealed a significant difference between the preservice teachers’ problem-solving performance based on their subject preference and program. Moreover, the error analysis revealed that the preservice teachers incurred comprehension errors in misrepresentation, misinterpretation, and miscalculation. These results will serve as a measure for policymakers and curriculum developers of the teacher education institution concerned to make relevant enhancements to the math courses offered in the elementary and secondary education programs. (shrink)

Mathematical confidence and critical thinking are essential in preparing preservice teachers. Thus, this study explored the perceived confidence and critical thinking levels in mathematics of elementary and secondary preservice teachers. A descriptive-correlational-comparative research design was employed, with a sample of 107 randomly selected preservice teachers enrolled in the Bachelor in Elementary and Secondary Education programs of a state university in West Philippines. The study used arithmetic mean, standard deviation, Spearman’s rank-order correlation, and independent samples t-test to analyze and draw conclusions (...) from the data. The findings revealed that the preservice teachers have high confidence and critical thinking skills. Their program significantly correlates with their perceived critical thinking and confidence level. Besides, the preservice teachers’ confidence levels and perceived critical thinking skills significantly correlate. Further analysis found significant confidence and critical thinking differences favoring the secondary over the elementary preservice teachers. These findings provide insights that would benefit mathematics educators in providing priority programs to enhance the preparation of future math teachers. (shrink)

Recently, there have been attempts at offering new justifications of the Rawlsian idea of public reason. Blain Neufeld has suggested that the ideal of political autonomy justifies public reason, while R.J. Leland and Han van Wietmarschen have sought to justify the idea by appealing to the value of political community. In this paper, I show that both proposals are vulnerable to a common problem. In realistic circumstances, they will often turn into reasons to oppose, rather than support, public reason. (...) However, this counterintuitive result can be avoided if we conceive of autonomy and community differently. (shrink)

In the recent philosophical literature on inquiry, epistemologists point out that their subject has often begun at the point at which you already have your evidence and then focussed on identifying the beliefs for which that evidence provides justification. But we are not mere passive recipients of evidence. While some comes to us unbidden, we often actively collect it. This has long been recognised, but typically epistemologists have taken the norms that govern inquiry to be practical, not epistemic. The recent (...) literature challenges this assumption and uncovers a rich range of questions about the epistemic normativity of inquiry. In this paper, I approach these questions from the formal side of epistemology. Developing out of the philosophy of science, as it did, this branch of epistemology has long discussed inquiry. And, building on the insights of Janina Hosiasson (1931), David Blackwell (1951), and I. J. Good (1967), it has produced a reasonably well-developed framework in which to understand norms of inquiry, both epistemic and practical. In the first half of the paper, I will present the pragmatic versions of this framework due to Hosiasson, Blackwell, and Good, and the epistemic version due to Graham Oddie (1997); in the second half of the paper, I put this framework to work, turning to some of the questions from the recent debate about inquiry and asking how the framework can help us answer them. Questions will include: When should we initiate an inquiry, when should we continue it, when should we conclude it, and when should we reopen it? How should we understand Julia Staffel's distinction between transitional attitudes and terminal attitudes (Staffel 2021a,b)? How do epistemic norms of inquiry relate to epistemic norms of belief or credence, and can they conflict (Friedman 2020)? And how should we understand the epistemic error that occurs when someone is resistant to evidence (Simion 2023)? (shrink)