This is one of a series of units intended for both preservice and inservice elementary school teachers to satisfy a need for materials on "new mathematics" programs which (1) are readable on a self basis or with minimal instruction, (2) show the pedagogical objectives and uses of such mathematical structural ideas as the field axioms, sets, and…

This is one of a series of units intended for both preservice and inservice elementary school teachers to satisfy a need for materials on "new mathematics" programs which (1) are readable on a self basis or with minimal instruction, (2) show the pedagogical objectives and uses of such mathematical structural ideas as the field axioms,…

This investigation sought to determine the effect of emphasizing mathematical structure in the acquisition of computational skills by seven- and eight-year-olds. The meaningful development-of-structure approach emphasized closure, commutativity, associativity, and the identity element of addition; the inverse relationship between addition and…

The objective of this study was to assess the ability of a previously prepared diagnostic test to detect the need for remediation in preschool children and then to assess the effectiveness of specially designed remedial materials. The subjects consisted of 47 boys and 25 girls from four private kindergartens in Nashville, Tennessee. All subjects…

The teacher's guide for the third unit of this SMSG series covers the two chapters on number theory and on the integers. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are stated, and a time…

The purpose of the study was to gain information regarding the interaction between ten mental factors selected from Guilford's Structure of the Intellect Model and learning, transfer, and retention of a mathematical concept studied with and without a physical model. The meaning of place value in different number bases was studied by 202 seventh…

The relationship between children's performance in solving open sentences and the factors of sentence type, number size, and context was investigated. The study also identified and classified the methods of solution used. Thirty-two third graders were individually given an orally administered test on open sentences. Four types of open sentences…

This guide continues instruction of the three guides in SE 012 723 and of the two guides included in SE 012 724. Counting skills, appreciation of pattern and order, and understanding of place value are extended to numbers up to one million, and the associative, commutative and distributive laws are made explicit. Manipulation of equations is…

This is the first of eight guidebooks for a course designed for the junior high student preparing for algebra. The booklet includes place value, expanded numerals, exponents, and elementary set theory. General goals and performance objectives, a course outline, and sample posttest items are given. (DT)

The Burmese classifier system is coherent because it is based upon a single elementary semantic dimension: deixis. On that dimension, four distances are distinguished, distances which metaphorically substitute for other conceptual relations between people and other living beings, people and things, and people and concepts. (Author/RM)

The effects of several variables on the ability of students to solve open sentences involving multiplication and division were examined. The variables considered were sex, grade level, position of the unknown in the sentence, and operation. (SD)

When two methods of transforming numbers from one base to another were taught sequentially, the first interfered with learning of the second. (SD)

Computational algorithms appearing in early American arithmetic text are discussed. (SD)

Instruction of three children using calculators for a ten-week period resulted in achievement gains. (MNS)

Thinking strategies that are related to counting are discussed and activities that are necessary for the understanding of number and counting are suggested. (Author/MP)