Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the "Math Academy--Let's Go to the Mall! Explorations in Combinatorics," which teachers can use to enhance…

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…

The Probability Inquiry Environment (PIE) is being designed as a computer-mediated collaborative inquiry environment to aid middle school students in learning elementary probability. This paper reports on a study in which seventh grade students engaged in probabilistic reasoning while interacting with a preliminary version of PIE. By analyzing the…

This paper addresses the evidence that secondary school students use to imply that they understand something in mathematics. As part of a larger study, an open-ended questionnaire probing several aspects of metacognitive self-knowledge, was administered to students (N=72) in four schools. Two previously identified types of understanding were…

These American Indian standards for mathematics were developed by the Bureau of Indian Affairs (BIA) for use by classroom teachers of American Indian students. They have been closely aligned with the 1989 "Curriculum and Evaluation Standards for School Mathematics," national standards currently in use in many BIA-funded schools. Each…

This book has a two-fold purpose. First, it was intended as a description of the development and testing of a primary school fraction program, presently in practice. This project seeks to develop a realistic alternative to the teaching and learning of fractions. The second purpose was to produce a theory on the teaching and learning of fractions…

Problem solving is a main topic in mathematics education, and considerable headway has been made in identifying the processes involved in solving well-formed problems like algebra word problems, mathematical algorithms, and logical puzzles like the Tower of Hanoi. The "Mathnet" format of the SQUARE ONE TV program, however, requires…

This paper reports a study to address two questions concerning children's understanding of average: How do children construct and interpret representativeness within the context of data sets? and How do children think about the mean as a particular mathematical definition and relationship? Twenty-one students (seven each of 4th, 6th, and 8th…

Project Special Elementary Education for the Disadvantaged (SEED) is a nationwide program in which professional mathematicians and scientists from major universities and research corporations teach abstract, conceptually oriented mathematics to full-sized classes of elementary school children on a daily basis as a supplement to their regular…

At some point between elementary and junior high school, something seems to occur that generates a rooted dislike toward the scientific disciplines in general and mathematics in particular. This results in most students in developmental education associating the word math with a series of illogical rules, totally disconnected from reality and…

This handbook is part of a series of three, corresponding to the three grades (4, 6, and 8) at which Mastery Tests are administered. This publication was written as a resource for teachers for developing mathematics programs for students in grades 3 and 4. The Mastery Test in Mathematics at Grade 4 assesses student performance for 25 instructional…

This handbook is part of a series of three, corresponding to the three grades (4, 6, and 8) at which Mastery Tests are administered. This publication was written as a resource for teachers developing mathematics programs for students in grades 4, 5, and 6. The Mastery Test in Mathematics at Grade 6 assesses student performance for 36 instructional…

This document provides a description of the competitions involved in the Mathematics Olympics held in the Springfield Public Schools (Missouri). It provides descriptions of the team events (which involved a scavenger hunt, computers, and computations) and the individual events (which involved applied geometry, calculators, conversion from ratio to…

This document contains a workshop presentation for elementary mathematics teachers. The purpose of the workshop is to demonstrate methods for teaching computational concepts beginning with concrete materials and moving to expressing these concepts abstractly with numerical symbols. Section headings are: (1) "Introduction"; (2) "Sorting and…

This is volume 1 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. An introduction on Soviet education and mathematics education is provided. The purposes of this volume are to show how instructional media should be…