The teacher's guide for the fourth unit of this SMSG series covers the two chapters on the rational numbers and geometric congruence. 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…

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…

Two experiments were conducted to examine the possibility that numbering might have an effect on learning of lists composed of more meaningful and highly available materials, words, and to further explore the possibility that different strategies may be employed in learning the two types of lists. In Experiment 1, 40 female students from…

One hundred seventy-six seventh grade students underwent a recorded interview where each was given a set of computational exercises and asked to say aloud his thinking as he worked them. The most frequently used strategies in computations with whole numbers and fractions are described in detail, an analysis of the nature of wrong answers is…

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…

There are at least two situations in which the behavioral scientist wishes to transform uniformly distributed data into normally distributed data: (1) In studies of sampling distributions where uniformly distributed pseudo-random numbers are generated by a computer but normally distributed numbers are desired; and (2) In measurement applications…

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)

Children enjoy playing a game based on addition module seven. The system can be applied to questions concerning the days of a week. (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)