From a special report, "What's New in Curriculum

Performance differences between male and female students in proportional reasoning tasks were analyzed with respect to task characteristics. The student performance was also compared to their visual-spatial ability to determine whether such ability correlates with a better performance. The task characteristics tested were ratio complexity,…

This paper briefly reviews some of the literature on the use of visual imagery in the conceptualization and solution of mathematical problems, especially its use in the learning of mathematics by children, and notes that a mutually facilitative effect occurs between mathematics and visual aptitude. A bibliography, a short list of resource…

A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. ELEMENTARY USES AND CONCEPTS OF PROBABILITY AND STATISTICS ARE EXAMINED. PERMUTATION, COMBINATION, AND PREDICTABILITY ARE PRESENTED IN THE SECTION ON PROBABILITY. THE MEANING OF…

THIS DOCUMENT IS A TEACHING GUIDE TO AID IN THE USE OF CUISENAIRE MATERIALS TO PRESENT FUNDAMENTAL MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN. CONCEPTS OF AND EXERCISES IN COUNTING, NUMBERING, ADDING, DIVIDING, SUBTRACTING, AND MULTIPLYING ARE EMPHASIZED. IN ADDITION, CONCEPTS OF FRACTIONS, DISTRIBUTIVE PROPERTIES OF NUMBERS, RECTANGULAR…

SEVERAL TEACHING PROGRAMS OF MATHEMATICAL CONCEPTS WERE INVESTIGATED IN AN EFFORT TO DEVELOP MEANS FOR ENHANCING CONCEPTUAL MATURITY AMONG CHILDREN. INTERVIEWS WERE ASSIGNED TO ENGLISH AND SCOTTISH SCHOOLS WHERE DIFFERENT ARITHMETIC PROGRAMS WERE TAUGHT. DATA WERE COLLECTED ON SCHOOL ACHIEVEMENT AND SCHOLASTIC ABILITY FROM INTERVIEWS WITH…

This paper reports two experiments related to elementary school children's learning of geometric concepts. The geometry experiment investigated the effects of location of practice problems within a programmed text; the polygon experiment involved two variables, number of illustrative examples presented, and number of practice problems given. Both…

PRODUCED AS PART OF A PROJECT FOR THE IMPROVEMENT OF CLASSROOM TEACHING, THIS BOOK DISCUSSES THE BASIC CONCEPTS AND OPERATIONS OF ARITHMETIC WHICH ARE TAUGHT TO ELEMENTARY SCHOOL STUDENTS. THE CONCEPT OF A SET IS USED THROUGHOUT AS A BASIS FOR EXPLANATION, AND THE DISCUSSION STRESSES WAYS BY WHICH STUDENTS CAN BE BROUGHT TO UNDERSTAND THE…

MATHEMATICS EDUCATION IN THE PRIMARY GRADES HAS TRADITIONALLY CONSISTED OF THE ROUTINE AND REPETITIVE SOLVING OF GREAT QUANTITIES OF NUMERICAL PROBLEMS AND THE ROTE LEARNING OF THE NUMBER COUNTING SEQUENCE, OR LATER, THE ADDITION OR MULTIPLICATION TABLES. THIS EMPHASIS IS CHANGING, HOWEVER, FOR IT IS BECOMING EVIDENT THAT FOR SUBJECT MATTER TO BE…

This document contains the PMDC Mathematics Tests for grade 1 (53 items) and grade 2 (52 items), plus instructions for administering each. Statistical data are also briefly presented. (MS)

This is an exploratory study comparing the mathematical cognitive structure of a group of junior high students educated in the United States with that of a group of students recently arrived from Hong Kong. The word association technique was employed to retrieve the mathematical cognitive structures from both groups of students. The word…

Computer technology, as an effective means for precisely simulating mathematical concepts and problems, could meet the need for new visual approaches to mathematics education. Computer generated imagery can not only accurately display two- and three-dimensional illustrations from mathematical models, but high precision images are economically…

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…