This book is the second in a three-volume set prepared to assist elementary-school teachers in the improvement of mathematics instruction. Each volume begins with a scope-and-sequence chart which assigns topics to seven levels. In later sections at least one objective is defined for each topic, and a series of activities related to objectives is…

Two instructional variables, sequence and mode, were operationally defined; two methods of sequencing, deductive and inductive, were used, and two modes, concrete and pictorial. Experimental lesson sequences for instruction in the rules and concepts of multiplication were developed for each combination of levels of the variables. The lesson…

Eighteen research reports related to mathematics education are abstracted and analyzed. The reports abstracted were selected from seven journals, two books, and a technical report. The majority of the articles reviewed in this volume concern reasoning abilities and mathematical concepts. Logical inference is the subject of four of the studies…

The basic premise of this report is that in addition to knowledge of subject matter and psychological principles, teachers should have the ability to think about the subject matter and to perform the logical operations used in manipulating it. The basic objects of mathematics instruction are concepts and principles, and, therefore, the focus of…

In this paper the author proposes a learning model for basic mathematics based on measurement concepts. By analyzing mathematical concepts and citing related psychological and educational research, he develops and justifies this model. The basic premise on which the model is based is the notion that measurement provides an approach to number…

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

This pair of brochures describes the elementary curriculum of the Comprehensive School Mathematics Program (CSMP). Many of the topics and exercises unique to this program are illustrated. The educational philosophy underlying the program is briefly described. (SD)

Reported are the results of study (approximately 20 minutes a day for four days) by fourth- and sixth-grade children of programed lessons dealing with geometric concepts. Independent variables of number of instances (4 or 8) and emphasis of relevant attitude values (presence or absence of attention directing and review questions) were varied…

This is a report of an experiment performed to evaluate the effects of the teaching of non-decimal numeration systems in grades four and six. Eighteen classes consisting of 430 students comprised the sample. The students were divided into four randomly assigned treatment groups for each level. Tests were given before a teaching session of five to…

This report analyzes the nonverbal performance of 100 children (3 1/2-4 1/2 year old) on tasks of discontinuous quantity. The children are part of a larger group of subjects participating in a longitudinal study of educational and social programs for disadvantaged children currently being conducted by the Educational Testing Service. The purposes…

Reported is research involving the development and testing of a program designed to encourage individual creative mathematical activity in first grade students. Initially, some characteristics of the creative process and creative thinking were examined and six criteria describing certain aspects of mathematical creativity were identified and…

This master's thesis was designed to construct a group-administered test of kindergarten and first-grade children's knowledge of the content of "Developing Mathematical Processes" Arithmetic Book I. From a list of behavioral objectives for Book I, 15 were selected as ones whose attainment could be measured in a group paper and pencil test. Eight…

This publication is a collection of two hundred sixty-five objectives and evaluation items for mathematics grades seven through nine. The objectives and measurement items were developed by the Instructional Objectives Exchange (IOX) staff and formulated from curricular material submitted by teachers, schools, and school districts. At present,…

This collection contains one hundred seventy-four objectives and evaluation items for mathematics grades kindergarten through three. The objectives and measurement items were developed by the Instructional Objectives Exchange (IOX) staff and formulated from curricular material submitted by teachers, schools, and school districts. To date, these…

Forty kindergarten children at the Stephen Bull School in Racine, Wisconsin were tested to determine the effects of a sequence of 12 experimental lessons on the ability of kindergarten children to recognize and conserve numerousness. Subjects were 40-low-to-middle socioeconomic level children divided into treatment and control groups. A specially…