A project conducted several years ago to develop informal mathematical learning experiences at kindergarten level is compared with the results of the work-book type (formal) program being used at that time. It is hypothesized that kindergarten pupils who study mathematical concepts in a planned, sequential, systematic, but non-workbook (informal)…

The Pre-Kindergarten Program was established as a part of the Language Development Program (funded under Title I of the 1965 Elementary Secondary Education Act) which is intended to increase the language facility of low income Columbus children. The pre-kindergarten child should leave the program feeling important and unique and should have gained…

Abstracts of 36 research reports are provided. The reports were prepared by investigators for presentation at the 55th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Nine reports deal with problem solving, eight are concerned with instructional methods, five…

This first grade workbook is designed for children in bilingual Inupiat-English programs in the Alaskan villages of Ambler, Kiana, Kobuk, Noorvik, Selawik, and Shungnak. Each page has a particular number, a corresponding picture with an appropriate caption, and lines for the child to use in writing the number. (CFM)

Presents a tiling problem designed to be solved using the microcomputer, which will give students a context upon which to build meaning for the concepts of factors, common factors, and greatest common factors. (PK)

Presents five puzzles or problems that may be used for mathematics enrichment. Ideas include magic squares, tests for divisibility, geometry, palindromic numbers, and a jigsaw puzzle. Solutions are included. (PK)

Six sets of nonstandard mathematical activities or problems are presented. The topics are appropriate for a wide range of age and ablity groups. Includes answers and explanations. (PK)

Brief articles are included on exploring mathematical patterns, with two computer programs listed for finding happy numbers; a simple periodic function in trigonometry; and comments on humorous student errors. (MNS)

How calculators can enhance problem-solving abilities is discussed. Examples of calculator table-building activities that span the gap from arithmetic to algebra in middle schools are given. Percent, area and perimeter, and exponents are the focus. (MNS)

How to find and classify positive integral solutions to 1/a + 1/b = 1/c in beginning and advanced algebra classes is described. The computer finds the solutions, but students practice algebraic manipulation as they analyze the solutions for patterns. Extensions to challenge more capable students are included. (MNS)

Included in this section are activities on checking with magic squares, general equations for a reflection in a line, little-known facts about the quadratic function, discovery involving volume, and conic sections. (MNS)

The purpose of the study presented in this paper is to investigate how students deal with the concepts of infinity and limit. Based on the communicational approach to cognition, according to which mathematics is a kind of discourse, we try to identify the characteristics of students' discourse on the topic. Four American and four Korean students…

Puzzles, games, and activities provide perfect opportunities for students to work in groups, interact, communicate with each other, and discuss strategies. The activities, games, and puzzles contained in this book are designed to help students learn mathematics in a fun yet challenging way. The activities are designed to encourage students to…

This document presents the application and use of mathematics learning proposed by the Arkansas curriculum frameworks for grades K-4. The standards are presented in chart form and organized into five strands: (1) number sense, properties, and operations; (2) geometry and spatial sense; (3) measurement; (4) data analysis, statistics, and…

This document presents the application and use of mathematics learning proposed by the Arkansas curriculum frameworks for grades 5-8. The standards are presented in chart form and organized into five strands: (1) number sense, properties, and operations; (2) geometry and spatial sense; (3) measurement; (4) data analysis, statistics, and…