Studies on distributive sentences by Weaver and by Hobbs are reviewed, with procedures and findings summarized. Data from Hobbs were reanalyzed to answer the question, to what extent did individual students tend to use the same solution method for all four types of open sentences? A one-way ANOVA indicated that there appeared to be no differential…

This is part two of a two-part SMSG elementary school text for third-grade students. The development of mathematical ideas in the text is grounded in appropriate experiences with things from the physical world and the immediate environment. Chapter topics include: (1) addition and subtraction; (2) length and area; (3) multiplication; (4)…

This is part two of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to exercises, and suggested test questions. Chapter topics include quadratic equations, the complex number system, equations of the second degree, and systems of first degree equations. (MP)

The main objective of this project was to develop effective multi-sensory aids for individual use by high school students who have not achieved a functional mastery of mathematics. Nineteen audiovisual devices directed specifically at the low achiever were developed from three specific devices--audio tape, audio tape with slides, and video tape.…

Twenty-four games to be played with a hand-held calculator are described. Information includes the number of players, the approximate time required, the skills involved, the chance factor, and the game sequence. (NR)

The author describes a method by which parents can help their children learn basic addition facts by playing dominos. (SD)

In 1968 the New York City Board of Education initiated a large scale test of a computer assisted instruction (CAI) program for drill and practice in elementary arithmetic. The program was a modified version of one developed by Dr. Patrick Suppes of Stanford University. An RCA Spectra 70/45 computer and 192 terminals located in elementary schools…

This study reports a factor analysis of the data resulting from a 3-year longitudinal investigation into conservation of number and related mathematical type concepts. Conservation of number, which represents a subset within the concept of conservation, was measured by use of a 20-item, criterion-referenced testing device. The subjects, who were…

Reports on the development of a course in modern mathematics for elementary school teachers. The subject matter for the course is concentrated on whole numbers, integers, and rational numbers. Ideas of logic and set theory are brought into the discussion incidently as needed for developing the number systems. Part 1 of the course is a brief essay…

Reported are the results of a study designed to determine the most efficient learning sequence appropriate for preschoolers in learning three set relations. The efficiency of a particular ordering of the relations, equivalence (E), greater than (G), less than (L)) was evaluated in terms of time required to reach criterion, and amount of transfer.…

These materials were written with the aim of reflecting the thinking of the Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. This report deals with some seventh grade mathematical concepts taught at Cambridge Friends' School. The discovery approach was utilized by the teacher in order to…

Provided is an introduction to the properties of continued fractions for the intellectually curious high school student. Among the topics included are (1) Expansion of Rational Numbers into Simple Continued Fractions, (2) Convergents, (3) Continued Fractions and Linear Diophantine Equations of the Type am + bn = c, (4) Continued Fractions 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, sets, and…

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…