Details of arithmetic topics proposed for inclusion in a modern elementary mathematics program and a rationale for the selection of these topics are given. The sequencing of the topics is discussed. (Author/DT)

This book is an extension of the 1966 film/text series (ED 018 276) from the National Council of Teachers of Mathematics and was written to accompany 12 new teacher-education films. It is strong enough, however, to also serve alone as a text for elementary school teachers for the study of rational numbers. The 12 chapters corresponsing to the…

These three pamphlets by the Department of Education in Victoria, Australia, provide an overview of the elementary mathematics curriculum which is described in greater detail in SE 012 723 to 729. The aims and philosophy, and the content and structure of the course are outlined, and methods of classroom organization to allow for individual…

This is a set of 8 x 11-inch cards containing ideas for manipulative materials, generally inexpensive household items, for use in the elementary classroom. The cards are tab-indexed into seven categories: sets (which is subdivided into set recognition and set operations), number-numerals, geometry, measurement, probability, number theory, and…

This paper summarizes the developmental activities in mathematics conducted at the first grade level. Two instructional units of "Developing Mathematical Processes" were taught. The instructional units are described through a description of the activities that were tried, an explanation of evaluation procedures, and a report of the results of each…

The arithmetic portion of the Developing Mathematical Processes (DMP) program, as it applies to children of ages 5 to 8, is described in some detail. The terminal objective of the number program of the primary segment of DMP is the ability of the child to correctly write, read and validate mathematical sentences of the form A = B plus or minus X.…

The early use of the distributive law can aid students in learning addition of fractions and provide rapid approaches to computation involving other operations. (SD)

Described is mathematics used by the ancient Babylonians and recorded on tablets which have been dated 3000-2000 B.C., and 700-500 B.C. (SD)

Two methods of adding columns of single digits were compared in terms of the speed and accuracy with which sums are produced. The direct method (successive addition) was found to be better than the method of looking for combinations which sum to ten. (SD)

An activity similar to magic squares is described. (SD)

A case is made for a comprehensive curriculum that includes strong competencies with not only number ideas and computation, but also with other mathematical topics such as geometry, statistics, probability, and estimation. (MP)

The objective of this activity is to provide a calculator experience developing and reinforcing the concept of order of operations. Three worksheets are provided that are suitable for reproduction for classroom use. Teacher instructions and answers are provided. (MP)

Explains that the use of symbols in some textbooks to represent both physical quantitites and numerical measures is illogical and confusing. (GA)

This discussion of the mathematical potential of classroom events gives many examples of incidents that can be used for learning about topics such as one-to-one correspondence, counting, sets, ordering, time, fractions, money, shape, estimation, measuring, volume, area, number operations, and graphs. (MP)

Activities for providing practice in estimating sums and products using calculators are presented. Worksheets are included. (MN)