This book provides applications for use in the secondary school mathematics curriculum by selecting related articles appearing in the "Mathematics Teacher" during the last 15 years. The articles are grouped into chapters that reflect the main secondary school mathematics courses and categorized by the highest level of mathematics needed…

Reasons for poor performance in mathematics by students in the United States are discussed. According to the authors, too many students never experience arithmetic at a physical, concrete level. Students are drilled in arithmetic facts without any meaningful context and are given few opportunities to use numerical concepts in real-life…

This book provides a collection of 191 mathematical problems aimed at the advanced high school student level and above. Problems cover general mathematical areas including plane geometry, three-dimensional geometry, number theory, algebra, combinatorics and graph theory, and a number of miscellaneous questions that combine mathematical…

The importance accorded mathematical connections in the professional literature is not properly reflected in the relatively small number of empirical investigations of students' mathematical connections. The purpose of this study was to investigate the mathematical connections that students form and use in solving nonroutine problems. Two main…

This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five…

This book is designed to prepare students for taking the SAT I--Reasoning Test using a problem-solving focus. It clarifies the purpose, structure, and use of the SAT I and provides meaningful instructional material and explanations which illuminate the necessary skills. The book begins with a review of essential fundamentals, including useful…

The CHEMATH course at Edmonds Community College integrates instruction in algebra and chemistry. The course emphasizes problem-solving techniques and relies on active learning through the use of structured group process techniques. CHEMATH is team taught by science and math faculty and is intended primarily for students planning to major in…

This curriculum includes outlines for a series of professional readiness courses designed to improve the various basic skills required of hospital personnel. The first eight sections consist of course outlines/materials on the following topics: user-friendly arithmetic, user-friendly fractions, user-friendly algebra, problem solving through…

This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra,…

This booklet contains a series of articles outlining the problem with developmental mathematics training in the United States, with comments from numerous educators and high-ranking business executives. Solutions to improving mathematics training are offered as the result of research from the Continuous Sequence in Basic Mathematics (CSBM)…

This Teacher Resource Manual (TRM) is designed to help teachers implement the Mathematics 20, 23, and 24 courses. The TRM is a support document that provides helpful information to classroom teachers. An overview of the Course of Studies for Mathematics 20/23 and 24 is provided at the beginning of each course section in the TRM. The overview…

A study of 50 students (grade 9) enrolled in a computer course found that home computer access for females was a predictor of early success for using computers as a learning resource and that enrollment in a computer course was greater for females who had access to home computers. Initial advantages diminished with continued use of computers. (PEN)

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

In two previous studies we investigated the non-routine problem-solving abilities of students just finishing their first year of a traditionally taught calculus sequence. This paper reports on a similar study, using the same non-routine first-year differential calculus problems, with students who had completed one and one-half years of traditional…