This paper further develops an instructional method called here "process-object linking and embedding". The idea is to link the familiar mathematical processes to objects in a familiar situation, then re-embed the new link through mathematical symbols into their mathematical construction. It makes use of children's extra-mathematical,…

Focuses on two types of symmetry, rotation and reflection, their underlying structure as a mathematical group, and their presence in the designs of diverse cultures. Illustrates patterns created by applying these symmetry operations that offer students a visual image which forms the axiomatic basis of algebra. (KHR)

Describes study of junior high school students in Israel that tested the effectiveness of microcomputer-based software designed to shape students' intuitions in the understanding of graphs of quantitative relationships. Retention and integration of microcomputer activities are discussed, and treatments for the experimental and control groups are…

Because most schools do not have courses in formal logic, teachers must teach this topic as it comes up naturally through class discussions in algebra, geometry, or general mathematics. This article shows how teachers can capitalize on students' ways of thinking to lead them to a greater understanding of logical relationships. (PK)

Students' views of science as static, mixed, and dynamic are characterized. The relationship between views of science and acquisition of integrated understanding of thermodynamics is examined. Students with dynamic views acquired more integrated understanding than those with static views. Data were collected from 153 middle school students who…

Counterintuitive moments in the classroom challenge common sense and practice and can be used to help mathematics students appreciate the need to explore, reflect, and reason. Proposed are four examples involving geometry, systems of equations, and matrices as counterintuitive instances. (MDH)

This article explores the multiple representations (verbal, algebraic, graphical, and numerical) that can be used to study the golden ratio. Emphasis is placed on using technology (both calculators and computers) to investigate the algebraic, graphical, and numerical representations. (JAF)

Current views on leadership and leadership competencies overlook nonrational and unconscious aspects of human functioning. Six perspectives on group work leadership are presented, with suggestions for competencies derived from the fields of systems thinking and psychodynamic psychology. Outdoor leaders could benefit from developing their intuition…

Three studies examined strategy flexibility in mathematical problem solving among high school students on Scholastic Assessment Test-Mathematics problems and among college students on Graduate Record Examination-Quantitative items. Results suggested that strategy flexibility was a source of gender differences in mathematics ability as assessed by…

Purpose: Studies investigating intuition from a cultural and cross-cultural perspective have a long tradition in various disciplines but, due to the increased internationalization of business, an understanding of the mental lives of other cultures became one of the priorities of management practitioners and theoreticians. Cultures of…

Many courts refuse to protect the siblings of an incest victim even when faced with unmistakable evidence that they are at risk, arguing that no one can predict what will happen. For instance, some courts believe that a parent who molests his stepchild is unlikely to victimize biological offspring, while others believe that a father who violates a…

Concerns about students' difficulties in statistical reasoning led to a study which explored form five (14- to 16-year-olds) students' ideas in this area. The study focussed on descriptive statistics, graphical representations, and probability. This paper presents and discusses the ways in which students made sense of information in graphical…

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…