This book helps teachers examine how children learn mathematics, develop a positive attitude toward and an interest in mathematics, teach mathematics with problem solving as the primary focus, understand the elements of a comprehensive mathematics curriculum, and establish a classroom environment that supports children's learning of mathematics.…

This paper discusses an approach to the study of algorithms which values students' construction of nonstandard algorithms but also emphasizes the essential roles of the teacher and instructional activities in supporting the development of students' numerical reasoning. Episodes are presented from a 3rd grade classroom in which a 9-week teaching…

This paper describes how one group of students came to reason about data while developing statistical understandings related to exploratory data analysis. Episodes taken from a 7th grade classroom in which a 12-week teaching experiment was conducted are presented. One of the goals of the teaching experiment was to investigate ways to support…

This action research describes a program for improving mathematical problem solving skills. The targeted population consisted of first grade students in a transient, middle class community as well as third and sixth grade students from a growing, middle to upper class in Illinois. The concerns of problem solving were documented through teacher…

This study is on the importance of reading in mathematics. The hypothesis is that reading word problems affects the outcome of problem solving. Students, 44 fourth-graders in two different math classes taught by the same teacher, were given computation problems and other students received the same computation problems within a story problem. The…

The purpose of this project was to examine the levels of achievement and metacognition in expressing mathematics understanding and problem solving processes by students in a second grade classroom when the students used writing in daily mathematics learning according to their scores on a mathematical problem solving assessment and individual…

The organization of a project on the topic of communications is detailed, and examples of some of the workcards used with the project are provided. Two open'' problems along with some student responses are also included. For the first article in this series, see Volume 1 Number 7 pp9-10, November 1972. (DT)

An activity is described in which students write programs for each other using the Logo programing language. A program developed by two fifth graders is discussed. (MNS)

Suggestions are given for helping mathematically gifted, creative, and talented students by grouping, organizing for enrichment, and using mathematics to challenge. Specific activities are included. (MNS)

Deciding, with outline maps, what highway exits to use to reach various towns most speedily is the problem presented. The simulation is geometric, focusing on loci. (MNS)

The approach is to fill positions in a star shape with values from a set so that the sum of each line is equal to the sum of every other line. There are four values in each of five lines. Related problems based on other shapes are noted. (MP)