Concepts from cognitive psychology are presented as an alternative framework to arithmetic instruction for students with disabilities. The approach, which emphasizes reasoning, communication, and problem solving, is applied to addition, division, multiplication, subtraction, and word problems. The purpose of arithmetic instruction is asserted to…

Presents a motion problem that students in a college physics class are asked to solve and later asked to continue to analyze until they have stopped learning from the problem or the problem itself is finished. (MDH)

Discusses a classroom presentation using a Tonka toy truck's forward and backward motion that (1) develops a graphical representation of the truck's one-dimensional motion; (2) creates graphs representing constant velocity; (3) leads students to a definition of average velocity; and (4) introduces the concept of instantaneous velocity. (MDH)

Two geometry problems generated from a design problem involving a shuttle return mechanism in a weaving machine are presented. The solutions to these problems are detailed. (CW)

Presents an analysis of the question in the title which involves a discussion of fractions, number theory, and probability through modeling, exploring, and other mathematical connections. (MKR)

Discusses an activity which models the building of a tunnel by ants using the definitions of derivative and indefinite integral from calculus. Includes a discussion of reasonableness and interpretation of the problem. (MKR)

A study explored middle school students' (N=54) perceptions of problem difficulty, persistence, and knowledge, and use of problem-solving strategies in solving mathematical word problems. Students with learning disabilities rated problems as significantly more difficult and had a significantly lower total word problem score than both average and…

Investigated whether stereotype threat would depress college women's math performance. In one test, men outperformed women when solving word problems, though women performed equally when problems were converted into numerical equivalents. In another test, participants solved difficult problems in high or reduced stereotype threat conditions. Women…

This proceedings contains 75 research reports, 8 discussion groups, 32 oral reports, and 28 poster presentation entries from the 1996 Annual Meeting of the American Chapter of the International Group for the Psychology of Mathematics Education. A one-page synopsis is included for discussion groups, oral reports, and poster presentations. Topic…

This book is designed to help students understand the nature of scientific inquiry by involving them in doing science rather than merely reading about it. The content of the text emphasizes science process skills, mathematical skills, and the use of theories and models that are fundamental for learning the various science disciplines. The…

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education and regular features presenting book and software reviews, classroom activities, instructor experiences, and math…

Several studies have shown the difficulties students encounter in making sense of situations involving rate of change. This study concerns how students discover errors and refine their knowledge when working with rate of change. The part of the study reported here concerns the responses of four precalculus students to a task which asked them to…

This revised version of "Mathematics for Horticulture" was developed to meet the needs of educators faced with teaching a mathematics curriculum based on real-life applications. The manual includes a wide range of topics, some remedial in nature, but all very basic to success in the industry. The manual contains seven chapters that cover the…

This research was concerned with the clarification of the role that the external representation process (e.g. drawing) plays in children's solving of complex arithmetic problems. Fourteen children in the 10- to 12-year-old age range were asked to represent and solve five complex arithmetic problems (three with temporal organization of data, two…

This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…