This is part one of a two-part SMSG mathematics text for elementary school students. One of the goals of the text is the development of mathematical ideas via appropriate experiences with things from the physical world and the immediate environment. The text materials provide an introduction to the study of mathematics in which growth is from the…

This is part two of a two-part SMSG mathematics text for elementary school students. One of the goals of the text is the development of mathematical ideas via appropriate experiences with things from the physical world and the immediate environment. The text materials provide an introduction to the study of mathematics in which growth is from the…

THE PURPOSE OF SYSTEMATIC TEACHING AND LEARNING IN ARITHMETIC IS TO HELP CHILDREN DEVELOP IDEAS OF PROCEDURE, METHODS OF THINKING, MEANING INHERENT IN NUMBER REACTIONS AND ARRANGEMENT IN ORDER THAT THE QUANTITATIVE SITUATIONS OF LIFE MAY BE HANDLED INTELLIGENTLY. AT THE KINDERGARTEN-PRIMARY LEVEL THE NUMBER CONCEPTS TO BE FOSTERED ARE--PUTTING…

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)…

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.…

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

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…

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 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,…