Findings from a study with first-grade children on addition and subtraction help make a case for a conceptual rather than a mechanized approach to the operations. How base ten blocks were used in the program is illustrated. (MNS)

This discussion of cyclic patterns that appear in repeating decimals includes the use of the calculator in discovering the patterns. (MP)

Students make errors in mathematics for a variety of reasons. It is the job of the educator to identify the source of these errors and to assist students in correcting them. The purpose of this monograph is to help identify, analyze, and evaluate students' computational proficiency. This monograph is divided into four sections: "Whole Numbers";…

Discusses procedures used throughout history to solve fractional and decimal divisor problems. Early rules and definitions, approaches in mathematics and methods books, "new math" approaches, research findings, and recent textbook procedures are included. Concludes by presenting nine recommendations for teaching the operation. (DH)

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these sixth grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…

Activities are given to assist students in seeing a rationale for the difficult algorithms we teach for fractions. Both interpretations of fractions and operations with fractions are discussed. (MNS)

This manual contains individual learning activity sheets on "Prenumbers", "Whole Numbers", and "Fractions." Each activity sheet and its accompanying instructional recommendations focus on a single concept or skill. The program presented is not intended to comprise a complete mathematics program for children who have difficulty in mathematics and…

Contrasts nominal, cardinal, and ordinal uses of numbers with linguistic and historical examples. (MKR)

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these seventh grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these eighth grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…

Activities for teaching mathematics in kindergarten through grade 8 are included in this guide. Both original ideas and ideas gleaned from various sources, including teachers in the district, are presented. The introduction briefly discusses the importance of developing understanding of concepts, processes, and relationships, the need for…

This document is the final report of the Regional Training Workshop for the Development of Materials for Mathematics Education in Asia and the Pacific, using a problem-solving approach. The workshop was committed to identifying materials which are readily available at low cost, in sufficient quantities to be used by children in classrooms in any…

This report summarizes a project to develop computational estimation materials for students in grades 6, 7, and 8. In chapter 1, the need for estimation skills is discussed and the goals of the project are stated: to develop a carefully sequenced set of lessons, activities, and maintenance work on estimation with whole numbers, fractions,…

Developed by a statewide committee in response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide presents the content that should be taught in Mathematics II. It was piloted by teachers in representative school systems and subsequently revised. Seven goals for the course are listed, followed…

In response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide was developed by a statewide committee to present the content that should be taught in Mathematcs I. It was piloted by teachers in representative school systems and subsequently revised. Six goals for the course are listed, followed…