This paper addresses the accumulating knowledge of prospective teachers of secondary school mathematics and their acquired proficiency during the course "Psychological aspects of mathematics education," in which we discussed theoretical models including the intuitive rules theory. Participants' performances are examined by means of an extensive…

Mathematical creativity ensures the growth of mathematics as a whole. However, the source of this growth, the creativity of the mathematician, is a relatively unexplored area in mathematics and mathematics education. In order to investigate how mathematicians create mathematics, a qualitative study involving five creative mathematicians was…

Epidemic levels of obesity represent a growing public health problem associated with a variety of negative health outcomes. Population level interventions that aim to moderate obesigenic environments have been proposed but remain largely unimplemented. Standard individual level interventions that focus on dietary restraint have been ineffective…

It has been observed that students react in similar ways to mathematics and science tasks that differ with regard either to their content area and/or to the type of reasoning required, but share some common, external features. Based on these observations, the Intuitive Rules Theory was proposed. In this present study the framework of this theory…

Feeling, emotion, and passion are the "stuff" of everyday experience. This guidebook helps the reader understand emotions in a two-step approach. First, common assumptions about emotion are examined in order to arrive at a deeper understanding of current approaches to emotion, especially as these exist in the fields of psychology and…

This paper proposes a theory that can account for differences between everyday and formal mathematics knowledge and a set of processes by which informal knowledge is transformed into formal mathematics. After an introduction, the paper is developed in five sections. The first section lays out the nature of informal, everyday mathematics knowledge.…

Implications of difficulties in using intuitive statistical reasoning are considered as they bear on the theoretic model viewing persons as intuitive scientists who make causal attributions in everyday life. Data sampling strategies and use of judgment rules to identify covariant events were investigated in two studies. Using a rule-analytic…

This book discusses the meaning, importance, and uses of intuition. In the first chapter the development of the conceptual history of intuition is traced from the ancient seers, religion, art, psychology, and philosophy. In chapter 2, work which has contributed to the development of intuition as a philosophical and psychological concept is…

This document focuses on evidence from problem solving case studies which indicate that analogy, extreme case analogies, and physical intuition can play an important role as forms of nonformal reasoning in scientific thinking. Two examples of nonformal reasoning are examined in greater detail from 10 case studies of "expert" problem solving.…

Discusses second language acquisition, the importance of comprehensible input to this acquisition, and the inadequacy of the theory of language interference as an explanation for errors in second language speech. The role of the teacher in the language classroom and the "procedural syllabus" are described. (SED)

Four propositions that have been advanced on the basis of verbal intuition are considered. They are given precise interpretation in a formal model and then disproved. The propositions concern intergenerational transfers through schooling; in particular, they concern equality-efficiency conflicts, net benefit calculation, and the role of genetic…

A way to assess knowledge acquired through simulation-based learning (intuitive knowledge) is presented. A "WHAT-IF" test item format is developed, and two pilot studies involving 74 college students responding to WHAT-IF items are described. The tests did tap improvement in learning, although test validity was only partially supportive.…

Discusses how Ralph Waldo Emerson and Stanley Cavell can help Americans learn from one another by practicing the art of reception and finding ways to acknowledge what they possess in common rather than artificially recreating common culture. The article examines Emerson's poetics of reception and Cavell's philosophy of adult education. (SM)

Analyzes components of the concept of intuitive parenting in cultural samples of 10 German, 20 U.S. and 6 Greek mothers with first-born infants. Although results indicate general parenting programs that are not culturally specific, quantitative cultural differences are found in verbal behavior. (SLD)

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…