Vector analysis is viewed to play a key role in many branches of engineering and the physical sciences. This unit is geared towards deriving identities and establishing "machinery" to make derivations a routine task. It is noted that the module is not an applications unit, but has as its primary objective the goal of providing science,…

This material considers the questions of: 1) What is basic in mathematics? 2) What mathematics do all children need for their lives in a society that depends on technology? and 3) What do pupils need in order to go on and learn the mathematics they will need for access to jobs in business, industry, and careers in the professions? What mathematics…

Presented are abstracts of 14 research reports. Topics covered include: (1) the effects of games on mathematics skills and concepts; (2) the use of problem-solving heuristics in the playing of games involving mathematics; (3) sex differences in electing mathematics; (4) the origins of sex differences in high school mathematics achievement and…

The purpose of this document is to survey at least some of the important research literature on solving linear equations in order to identify information that might suggest ways to improve teaching effectiveness. The studies that are examined employ a wide range of research techniques, are based often on quite different perspectives, and span over…

The two main objectives of the present study were to get a better understanding of sixth-graders' solution processes with respect to arithmetic word problems and to investigate the possibility of improving children's problem-solving ability through instruction. As background for the study, a hypothetical model of the problem-solving process was…

Based on the history of mathematics, these materials have been planned to enrich the teaching of mathematics in grades four, five, and six. Puzzles and games are based on stories about topics such as famous mathematicians, numerals of ancient peoples, and numerology. The sheets are arranged by grade level and are designed for easy duplication.…

Presented are English summaries of reports and publications originally published in Danish. The summaries are presented in chronological order. Topics include research in areas of problem solving, action research in theory and practice, developmental trends in special teaching, evaluation, research planning - a development process, and special…

This study investigated the relationships between Piagetian logical reasoning abilities with an information processing capacity, and first-grade children's performance on verbal addition and subtraction problems. An analysis of simple arithmetic problems indicated that several reasoning abilities identified by Piaget are needed to achieve…

Presented are abstracts of 18 research reports. Topics covered include: (1) The effect of a numeration learning hierarchy on mathematics attitudes in kindergarten children; (2) Children's acquisition and production of mathematical rules; (3) Preschoolers' abilities to recognize counting errors; (4) Young children's solution processes for verbal…

This study provides an integrated investigation of creative thinking, mathematical and nonmathematical problem solving, and transfer of training among secondary-school students. Fifty-two geometry students participated in a two-week Divergent Thinking Activities program developed by the experimenter. In addition to this group, 30 geometry students…

This booklet consists of 11 bulletins designed to answer questions which teachers frequently ask about the learning and teaching of mathematics. (The bulletins are revisions of a set originally published in 1970.) Each bulletin is organized around a central topic, and presents questions related to that topic, summaries of research findings…

This yearbook presents many aspects of mathematics learning by children between the ages of three and eight. Addressed to teachers of primary school children, the book begins with chapters discussing learning and cognition, the primary curriculum, and research on mathematics learning at this age level. Eight subsequent chapters deal with the…

Observing that available standardized tests purporting to measure problem solving in mathematics do not validly reflect currently accepted definitions of problem solving, while more valid individualized measures are costly in terms of time, this researcher undertook (1) to construct a paper-and-pencil instrument which might better reflect…

The contemporary mathematics program set forth in this publication developed as a result of experimentation and evaluation in classroom situations. This is Part 2 of "Mathematics: 8th Year." Part 1, a separate bulletin, was published during the school year 1967-68. The materials in this bulletin are intended to serve as guidelines for…

As its primary function, this publication is to provide ideas and suggestions for ways that junior high school mathematics teachers can include environmental concepts as a meaningful component of the ongoing instructional program in mathematics. It includes suggestions for activities and projects as well as environmentally-oriented problems which…