Computer-assisted instruction systems have been broadly applied to help students solve math word problem. The majority of such systems, which are based on an instructor-initiating instruction strategy, provide pre-designed problems for the learners. When learners are asked to solve a word problem, the system will instruct the learners what to do.…

A discussion of mathematics curriculum and teaching methods based on the standards issued by the National Council of Teachers of Mathematics (NCTM) and National Council of Supervisors of Mathematics (NCSM) is presented. The standards emphasize the connectedness of each of the branches of mathematics and underline the relationship of each branch to…

In this book, 10 strategies that are widely used in problem-solving both in mathematics and real-life situations are examined. Approximately 200 problems are selected to illustrate these strategies. Chapters include: (1) Introduction To Problem-Solving Strategies; (2) Working Backwards; (3) Finding a Pattern; (4) Adopting a Different Point of…

A collection of 90 contemporary mathematics story problems are presented for use by elementary teachers. The problems enable students to exercise the steps of problem solving involving operational skills. Instructions given to students list five directions for finding solutions. The answers to all 90 problems are included. This document is part of…

An inconsistency between American and British accounting methods led the author to this problem whose solution involves linear equations and geometric series. (SD)

The converse of a familiar construction problem is explored, and a partial solution presented. The general problem is "Given a segment with length whose square is x, construct a segment with length 1." (SD)

The problems in this book are intended mainly for students in junior high school and junior secondary classes, but many will interest students at higher levels. Most of the problems fit quite easily into the regular curriculum, and could be used by both teachers and parents. The book has 11 chapters, all but one of which contain problems and their…

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

This paper proposes an hypothsis describing how some college students incorrectly view semantically laden letters and provides both clinical and written data that supports that hypothesis. Several word problems were given to nine college math students. These students were then interviewed as they attempted to solve these problems. In addition to…

This paper considers the nature of "understanding" in mathematics, and of instruction designed to foster it. The first part is theoretical, presenting an argument that there are (at least) three qualitatively different components to competent mathematical performance: (1) possession of the appropriate set of cognitive "resources," (2) the ability…

Because of the extensiveness of the course outline for Math 301 (Manitoba Department of Education), schools would have had to purchase several different textbooks to cover the material adequately. Therefore, a set of materials to supplement the guide was developed. The exercises, projects, and reviews contained in this package are keyed to the 301…

Because of the extensiveness of the course outline for Math 201 (Manitoba Department of Education), schools would have had to purchase several different textbooks to cover the material adequately. Therefore, a set of materials to supplement the guide was developed. The exercises, projects, and reviews contained in this package are keyed to the 201…

The materials in this Enrichment Student Project (ESP) are designed especially for the low achiever student in mathematics. The booklet is a self contained unit consisting of four elements--a mathematical puzzle, a set of instructions, response sheets, and a suitable container for keeping the unit together. ESP is a motivational idea aimed at…

Two distinct strategies for teaching the solution to verbal problems were compared. Programs of instruction were prepared that reflected the Polya Method (read and understand the problem, plan for a solution, carry out the plan, and check the result) and the Dahmus Method (translate the verbal statements into mathematical symbols prior to solving…