Failure of commercial materials to meet the particular needs of the Navajo child resulted in development of this curriculum guide for non-English-speaking children. Teaching objectives and behavioral student objectives are presented for 5 areas of language arts (oral English, listening skills, cognitive processes, writing readiness, and formal…

A program of mathematics instruction for grade one is provided in this curriculum guide. The teaching goal of each lesson is stated in the Purpose section. Visual aids and manipulative materials useful in developing each lesson are suggested and additional teaching aids are listed. Suggestions for teaching the lessons are separated into three…

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)…

This document presents a series of exercises designed to help elementary school children develop skills in mathematics and logic. By means of stories, games, questions, and illustrations, the first set of exercises presents the idea of number systems with bases other than 10. Similar means are used to explain the concept of exponents and to teach…

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…

Suggests that by using elementary concepts and arithmetic methods it is possible to find many interesting aspects of mathematics. The activities could be used to allow students to make individual discoveries about mathematics. (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 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)

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…

The first volume of this proceedings contains the papers presented at the 21st annual meeting of the Mathematics Education Research Group of Australasia. Papers include: (1) "Research, Rhetoric and Reality" (Lyn English); (2) "I Keep Six Honest Serving Men" (Peter Galbraith); (3) "The Intension/Intention of Teaching…

The second volume of this proceedings contains the papers presented at the 21st annual meeting of the Mathematics Education Research Group of Australasia. Full papers include: (1) "Teachers Interpreting Algebra: Teachers' Views about the Nature of Algebra" (Brenda Menzel and David Clarke); (2) "Long Odds: Longitudinal Development of…

Insights from both cognitive psychology and learning disabilities intervention research are presented to improve understanding of the processes by which number fact fluency develops. Discussion includes assessment guidelines and learning strategies such as counting all, counting on, and alternative groupings. (Author/JDD)

This article presents the "concrete semiconcrete abstract" (CSA) teaching sequence for teaching basic math skills to students with and without learning disabilities. Guidelines include providing a minimum of nine instructional lessons (three at each level), each with four lesson steps. Validation of the CSA sequence and lesson format with 15…

Presents a series of hands-on activities for grades K-2, 3-4, 5-6, and 6-8 using the common theme of kites to develop number sense in basic operations and fractions. Teachers' guides and worksheets are provided. (MDH)

Presents teaching methods to rectify the tendency of students and even teachers to divide the smaller number into the larger in problem situations requiring division, while recognizing the impossibility of the answer in the situation. (MDH)