Reviews the Lakoff and Nunez's book, "Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being (2000)," which provided many mathematics education researchers with a novel and startling perspective on mathematical thinking. Suggests that several of the book's flaws can be addressed through a more rigorous establishment of…

Reports on a study entailing the design, implementation, and evaluation of two versions of a teaching experiment that traced students' growth in probabilistic thinking. Students in the first version focused on analyses of small sample experimental data and sample space composition. Students in the second version made connections between…

Examines the role played by metaphor in supporting and conditioning thinking about theoretical models of learning in science education. With special reference to von Glasersfeld's theory of radical constructivism, suggests that much of the controversy appearing in the academic discussion of this theory stems from the injudicious use of metaphors…

Proposes an assessment schema to give counseling trainees a systematic approach to client career problems. The schema has two domains (interpersonal, intrapersonal) and three levels: guidance and counseling, placement and development, and career education and adjustment. (Contains 75 references.) (SK)

Shows how to find an equation in one variable whose solution set is a given line segment as well as an equation in two variables whose solution set is a given triangle and its interior. (KHR)

Develops a method for visualizing the complex roots of a polynomial equation. Illustrates some quadratic or cubic polynomials and their solutions. (KHR)

Discusses the Tiles and Sides problem from the December 2000 issue. Indicates that this problem is accessible to students at different grade levels. Presents samples of student responses and their teachers' analysis. (KHR)

Presents an activity investigating what happens when a decimal point is in the wrong position or used at all. (YDS)

Provides a way for students to improve understanding of concepts and their grades after they have already been assessed on a unit of instruction. (YDS)

Describes students' generalization strategies and justifications as they engage in patterning activities. (YDS)

Describes how students develop proportional reasoning through problem solving. Identifies the essential components of proportional reasoning and includes recommendations for instruction. (YDS)

Demonstrates how to extend student awareness of a common computational pattern into the realm of algebraic thinking through carefully selected, sequenced activities and guided discussion. (YDS)

Investigates secondary school students' concepts of isotopes and allotropes and how the concepts are linked to the Periodic Table of Elements (PTE). Questions senior high school students with multiple choice items and interviews. Shows that students actively tried to make sense of what they had experienced. (KHR)

Investigates problems of modeling and application based on a paradigmatic case study of a classroom situation in which students deal with functions within a computer-aided learning environment. Analysis of the case study shows that computer-supported operating with functions as objects does not automatically lead to a better understanding of the…

Investigates how situational knowledge differs across individuals of different competence levels. Analyzes participants' descriptions of physics problem situations. Discusses the relationship between competence and the structure of problem situations, differences between experts and novices, and implications for teaching. (Author/KHR)