This book is designed to help teachers maximize their students' learning of Logo. It investigates what students learn when they learn Logo, and how teachers know what they are learning. The book is intended primarily for teachers at the upper elementary and middle school levels. Each chapter is devoted to a critical aspect of Logo learning, and…

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…

The interactions of three high school juniors (two females and one male) working together on a series of contextual mathematics problems using a multirepresentational software tool were studied. Focus was on determining how a constructivist model of learning, based on an individual problematic-action-reflection model, can be extended to offer…

The Nested Spiral Approach (NSA) is an integrated instructional approach used to promote the motivated learning of mathematics problem solving in limited-English-proficient (LEP) students. The NSA is described and a trial use is discussed. The approach extends, elaborates, and supplements existing education and instruction theories to help LEP…

This paper documents the achievement monitoring component of a three-year study on the acquisition of addition-subtraction problem-solving skills by young children. A set of performance objectives contained in or ancillary to ten instructional units on sentence-writing for verbal problems and algorithms specified test content. Tests measuring…

This study investigated the transfer of solution strategies between close variants of quantitative reasoning questions. Pre- and posttests were obtained from 406 college undergraduates, all of whom took the same posttest; pretests varied such that one group of participants saw close variants of one set of posttest items while other groups saw…

The Educational Leaders in Mathematics (ELM) Project, was an experimental inservice program for teachers of mathematics, grades kindergarten to 12. The major focus on the project was to help teachers develop and implement approaches to mathematics instruction based on a constructivist view of learning. ELM demonstrated the significant impact of…

The FUTURES program was developed by the Ontario (Canada) Ministry of Skills Development in order to better prepare severely disadvantaged and disabled youth in terms of both academic and job-readiness training. This study sought to construct a portrait of FUTURES students which would contain data readily translatable to counseling and…

The mathematical experiences of elementary students often focus on memorizing facts and rules as opposed to making sense of the subject and developing problem solving skills. Students spend large amounts of time processing, memorizing and sorting collections of data which are tasks well performed by computer technology. To correct this situation,…

This publication contains two miniunits to help students in grades 7-12 build skills for the future. The exercises can also be adapted for use in grades 4-6. Each of the miniunits contains several exercises to build specific skills. Miniunit One, "The Arithmetic of Growth," deals with two concepts--exponential growth and doubling time. These two…

In addition to reviewing the literature on the pros and cons of computer use in the schools, this document reports the results of a research project in which 13 pairs of first graders learned to use the LOGO computer language over a 10-week period as part of their classroom activities. The first two chapters discuss the overall question of…

Resources that will help secondary students become more effective problem solvers are provided. The book describes techniques or tools and an overall strategy for solving problems. Throughout the book there are exercises that enable the student to practice the techniques. The first chapter provides an overview of the problem solving process.…

The Rice Index is the first measure of voting unity devised. It is noted that this measure was developed on an ad hoc basis for use in rather rough comparisons. This measure is carefully assessed, and is noted to have the virtue of simplicity, useful in certain situations, but associated with certain problems when it is used for a more detailed…

This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…

This document describes how to teach a computer to add numbers using the LOGO programing language. The programing project is described in the way a student might develop it. The model of developing the program uses humans as an anthropomorphic model for the computer, and the computer as a model for people. The document has an unorthodox style, as…