Dienes & Perner (D&P) argue that nondeclarative knowledge can take multiple forms. We provide empirical support for this from two related lines of research about the development of mathematical reasoning. We then describe how different forms of procedural and declarative knowledge can be effectively modeled in Anderson's ACT-R theory, contrasting this computational approach with D&P's logical approach. The computational approach suggests that the commonly observed developmental progression from more implicit to more explicit knowledge can be viewed as a consequence of (...) accumulating and strengthening mental representations. (shrink)

Gesture does not have a fixed position in the Dienes & Perner framework. Its status depends on the way knowledge is expressed. Knowledge reflected in gesture can be fully implicit (neither factuality nor predication is explicit) if the goal is simply to move a pointing hand to a target. Knowledge reflected in gesture can be explicit (both factuality and predication are explicit) if the goal is to indicate an object. However, gesture is not restricted to these two extreme positions. When (...) gestures are unconscious accompaniments to speech and represent information that is distinct from speech, the knowledge they convey is factuality-implicit but predication-explicit. (shrink)

According to the SIMS model, mimicry and simulation contribute to perceivers' understanding of smiles. We argue that similar mechanisms are involved in comprehending the hand gestures that people produce when speaking. Viewing gestures may elicit overt mimicry, or may evoke corresponding simulations in the minds of addressees. These real or simulated actions contribute to addressees' comprehension of speakers' gestures.

This article explores the complementary strengths and weaknesses of grounded and abstract representations in the domain of early algebra. Abstract representations, such as algebraic symbols, are concise and easy to manipulate but are distanced from any physical referents. Grounded representations, such as verbal descriptions of situations, are more concrete and familiar, and they are more similar to physical objects and everyday experience. The complementary computational characteristics of grounded and abstract representations lead to trade‐offs in problem‐solving performance. In prior research with (...) high school students solving relatively simple problems, Koedinger and Nathan (2004) demonstrated performance benefits of grounded representations over abstract representations—students were better at solving simple story problems than the analogous equations. This article extends this prior work to examine both simple and more complex problems in two samples of college students. On complex problems with two references to the unknown, a “symbolic advantage” emerged, such that students were better at solving equations than analogous story problems. Furthermore, the previously observed “verbal advantage” on simple problems was replicated. We thus provide empirical support for a trade‐off between grounded, verbal representations, which show advantages on simpler problems, and abstract, symbolic representations, which show advantages on more complex problems. (shrink)

This study investigated the roles of problem structure and strategy use in problem encoding. Fourth‐grade students solved and explained a set of typical addition problems (e.g., 5 + 4 + 9 + 5 = _) and mathematical equivalence problems (e.g., 4 + 3 + 6 = 4 + _ or 6 + 4 + 5 = _ + 5). Next, they completed an encoding task in which they reconstructed addition and equivalence problems after viewing each for 5 s. Equivalence problems (...) of the form 4 + 3 + 6 = 4 + _ overlap with a perceptual pattern found in traditional arithmetic problems (i.e., answer blank in final position), and students' encoding was poorest on problems of this type. Individual differences in encoding the equivalence problems were related to variations in strategy use. Some students solved blank‐final equivalence problems using the standard arithmetic strategy of performing all given operations on all given numbers. These students made more errors in encoding problem structure, but fewer errors in encoding the numbers, than did students who solved the problems using correct or other incorrect strategies. Moreover, students who expressed many strategies for solving the blank‐final equivalence problems made fewer errors in encoding problem structure, but more errors in encoding the numbers, than did students who expressed only a single strategy. Results highlight that encoding is intended to guide action and that prior experience can simultaneously facilitate and interfere with accurate encoding. (shrink)

Previous work has investigated adults' knowledge of principles for arithmetic with positive numbers (Dixon, Deets, & Bangert, 2001). The current study extends this past work to address adults' knowledge of principles of arithmetic with a negative number, and also investigates links between knowledge of principles and problem representation. Participants (N = 44) completed two tasks. In the Evaluation task, participants rated how well sets of equations were solved. Some sets violated principles of arithmetic and others did not. Participants rated non‐violation (...) sets higher than violation sets for two different principles for subtraction with a negative number. In the Word Problem task, participants read word problems and set up equations that could be used to solve them. Participants who displayed greater knowledge of principles of arithmetic with a negative number were more likely to set up equations that involved negative numbers. Thus, participants' knowledge of arithmetic principles was related to their problem representations. (shrink)

A common practice in textbooks is to introduce concepts or strategies in association with specific people. This practice aligns with research suggesting that using “real-world” contexts in textbooks increases students’ motivation and engagement. However, other research suggests this practice may interfere with transfer by distracting students or leading them to tie new knowledge too closely to the original learning context. The current study investigates the effects on learning and transfer of connecting mathematics strategies to specific people. A total of 180 (...) college students were presented with an example of a problem-solving strategy that was either linked with a specific person or presented without a person. Students who saw the example without a person were more likely to correctly transfer the novel strategy to new problems than students who saw the example presented with a person. These findings are the first evidence that using people to present new strategies is harmful for learning and transfer. (shrink)

ABSTRACTRecognising a facial expression is more difficult when the expresser's body conveys incongruent affect. Existing research has documented such interference for universally recognisable bodil...

Why do people shift their strategies for solving problems? Past work has focused on the roles of contextual and individual factors in explaining whether people adopt new strategies when they are exposed to them. In this study, we examined a factor not considered in prior work: people's evaluations of the strategies themselves. We presented undergraduate participants from a moderately selective university (N = 252; 64.8% women, 65.6% White, 67.6% who had taken calculus) with two strategies for solving algebraic word problems (...) and asked them to rate these strategies and their own strategy on a variety of dimensions. Participants’ ratings loaded onto two factors, which we label quality and difficulty. Participants’ initial evaluations of the quality of the strategies were associated with whether they used the strategies at posttest, and this effect held even when controlling for individual and contextual factors. However, people's evaluations of the difficulty of the strategies were not consistently associated with their later adoption of those strategies. We also examined individual and contextual predictors of strategy ratings and strategy adoption. Participants’ need for cognition and their spatial visualization ability were associated with their strategy evaluations, and the framing of the story problems was associated with their strategy adoption. The findings highlight that strategy adoption depends on multiple interacting factors, and that to understand strategy change, it is critical to examine how people evaluate strategies. (shrink)

This study investigated the cognitive processes involved in inductive reasoning. Sixteen undergraduates solved quadratic function–finding problems and provided concurrent verbal protocols. Three fundamental areas of inductive activity were identified: Data Gathering, Pattern Finding, and Hypothesis Generation. These activities are evident in three different strategies that they used to successfully find functions. In all three strategies, Pattern Finding played a critical role not previously identified in the literature. In the most common strategy, called the Pursuit strategy, participants created new quantities from (...) x and y, detected patterns in these quantities, and expressed these patterns in terms of x. These expressions were then built into full hypotheses. The processes involved in this strategy are instantiated in an ACT‐based model that simulates both successful and unsuccessful performance. The protocols and the model suggest that numerical knowledge is essential to the detection of patterns and, therefore, to higher‐order problem solving. (shrink)

Aan de hand van voorbeelden uit de literatuurkritiek van de oudheid tot heden wordt een pleidooi geconstrueerd voor kritische openheid bij het ondergaan van kunstwerken met anti-democratische en racistische lading, zoals bijvoorbeeld de muziek van Wagner.

This volume brings together Nussbaum's published papers on the relationship between literature and philosophy, especially moral philosophy. The papers, many of them previously inaccessible to non-specialist readers, explore such fundamental issues as the relationship between style and content in the exploration of ethical issues; the nature of ethical attention and ethical knowledge and their relationship to written forms and styles; and the role of the emotions in deliberation and self-knowledge. Nussbaum investigates and defends a conception of ethical understanding which involves (...) emotional as well as intellectual activity, and which gives a certain type of priority to the perception of particular people and situations rather than to abstract rules. She argues that this ethical conception cannot be completely and appropriately stated without turning to forms of writing usually considered literary rather than philosophical. It is consequently necessary to broaden our conception of moral philosophy in order to include these forms. Featuring two new essays and revised versions of several previously published essays, this collection attempts to articulate the relationship, within such a broader ethical inquiry, between literary and more abstractly theoretical elements. (shrink)

It will be seen how in place of the wealth and poverty of political economy come the rich human being and rich human need. The rich human being is simultaneously the human being in need of totality of human life-activities — the man in whom his own realization exists as an inner necessity, as need. Marx, Economic and Philosophical Manuscripts of 1844 Svetaketu abstained from food for fifteen days. Then he came to his father and said, `What shall I say?' (...) The father said: `Repeat the Rik, Yagus, and Saman verses.' He replied, `They do not occur to me, Sir.' The father said to him... `Go and eat! Then wilt thou understand me.' Then Svetaketu ate, and afterwards approached his father. And whatever his father asked him, he knew it all by heart.... After that, he understood what his father meant when he said: `Mind, my son, comes from food, breath from water, speech from fire.' He understood what he said, yea, he understood it. Chandogya-Upanishad, VI Prapathaka, 7 Kanda When you love a man you want him to live and when you hate him you want him to die. If, having wanted him to live, you then want him to die, this is a misguided judgment. `If you did not do so for the sake of riches, you must have done so for the sake of novelty.' Confucius, Analects, Book 12. 10. (shrink)

Bringing together a group of outstanding new essays on Aristotle's De Anima, this book covers topics such as the relation between soul and body, sense-perception, imagination, memory, desire, and thought, which present the philosophical substance of Aristotle's views to the modern reader. The contributors write with philosophical subtlety and wide-ranging scholarship, locating their interpretations firmly within the context of Aristotle's thought as a whole.u.

Higher education makes an importantcontribution to citizenship. In the UnitedStates, the required portion of the ``liberalarts education'' in colleges and universitiescan be reformed so as to equip students for thechallenges of global citizenship. The paperadvocates focusing on three abilities: theSocratic ability to critize one's owntraditions and to carry on an argument on termsof mutual respect for reason; (2) the abilityto think as a citizen of the whole world, notjust some local region or group; and (3) the``narrative imagination,'' the ability to (...) imaginewhat it would be like to be in the position ofsomeone very different from oneself. The paperdiscusses the role of the ``liberal arts''curriculum in U.S. education and asks howEuropean universities, with their differentstructure, might promote these three abilities. (shrink)

This paper deals with how telematic technologies such as the cellular phones, Internet, telerobotics and other varieties of telematic communication and control are placing into discussion the nature of knowledge and its scope. These technologies offer us knowledge by description and representation instead of physical contact, a fact that is often seen with suspicion since they are perceived as technologies of delusion in a culture characterized by its conspicuous materialism. What are the possible roles for our mediated activities in relation (...) with the comprehension of our environment and the construction of subjectivity? Telematic mediation necessarily deals with the immaterial aspects of technologies such as the changing concepts of reality and nature, future possibilities of an ethereal afterlife achieved through spiritual or technological means and the concept of distance that can render mediated communication delusory and unsatisfying while acting as an agent of delocalization. This view is supported by our traditional Platonic view that perceives representation of things as a palpable degradation while neglecting the constructive aspects of those fictional endeavours. (shrink)

Beginning with this issue, the "Review Essays" section of the journal has been renamed "Critical Assessments." The new name more accurately describes not only the content of the section but also the journal's methods of assessment. Submissions to the section are peer reviewed; published essays are catalogued and indexed like the rest of the content of Perspectives in Biology and Medicine.Where many journals publish reviews on the assets and liabilities of newly published books, the Critical Assessments section of Perspectives in (...) Biology and Medicine aims for robust, engaging essays, written in an informal style about important new books, and also about important new articles. Books are a typical means of publishing... (shrink)

Nietzsche claimed to be a political thinker in Ecce Homo and elsewhere. He constantly compared his thought with other political theorists, chiefly Rousseau, Kant and Mill, and he claimed to offer an alternative to the bankruptcy of Enlightenment liberalism. It is worthwhile re-examining Nietzsche's claim to offer serious criticisms of liberal political philosophy. I shall proceed by setting out seven criteria for serious political thought: understanding of material need; procedural justification; liberty and its worth; racial, ethnic and religious difference; gender (...) and family; justice between nations; and moral psychology. I shall argue polemically that on the first six issues Nietzsche has nothing to offer, but that on the seventh, moral psychology, he makes a profound contribution. Serious political theory, however, needs to forget about Nietzsche and turn to those thinkers he found so boring - the liberal Enlightenment thinkers. (shrink)

This chapter contains sections titled: The Absence of the Ethical Reflective Equilibrium Straightness and Surprise Perception and Method Perception and Love Literary Theory and Ethical Theory.

John Fischer challenges me to defend my arguments regarding the badness of death; I sharpen my position, but make some concessions, discussing the possibility of postmortem harm. In response to John Deigh, I defend the account of disgust given in Hiding from Humanity, together with the research of Paul Rozin that I follow there, I discuss Patrick Devlin's conservative position, agree that we need to object to its emphasis on solidarity, not only to its emphasis on disgust, and argue that (...) Deigh's statement of Devlin's position is too kind to Devlin. In response to Henry Richardson, I summarize my reasons for thinking that the classical social contract tradition cannot handle well the problems posed by the issue of justice for people with disabilities, and that even Rawls's position requires major modification if it is to do so. I explore differences between Richardson's position and my own on the issues of self-respect, liberty, and primary goods. (shrink)