This guidebook specifies minimum course content covering number systems and bases, rational numbers and operations with rationals, and solving simple open sentences. Course goals are stated, then performance objectives, a course outline, references, and suggested teaching strategies are listed for each topic covered. Posttest items and a list of…

The first of a series of three workbook texts on beginning algebra. Designed primarily for use by lower ability mathematics students, the texts have been used by average ability students as supplementary materials. Volume 1 contains material on multiplying, prime factors, signed numbers, problem solving involving addition, subtraction, and…

This study sought to determine whether a number of specific counting and numeration behaviors emerge within children in a fixed developmental sequence; at what point in the development of mathematical behavior the use of numerical representations normally appears; and what relationship holds between development of counting skills and development…

The discovery method, according to the author, promotes logical thinking, is motivational in nature, makes learning more permanent, produces more usable knowledge, and gets students actively involved. A discovery lesson is characterized by the following: (1) the concept to be learned is not announced, (2) experiences and activities are developed…

The role of negative instances in the acquisition of the mathematical concepts of commutativity and associativity of a binary operation was examined. Two levels of instruction (positive instances, and positive and negative instances) for commutativity and for associativity were crossed to form a 2 x 2 factorial design with 16 ninth grade subjects…

This booklet includes short descriptions of the history of the calendar, Napier's Bones, and the beginnings of algebra. The remaining two stories discuss the number nine raised to the ninth power of nine, and repeating decimals. (DT)

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)