The value and technique of pre-geometry and geometry instruction in the primary grades are discussed. Geometric concepts such as open and closed figures, connectedness, similarity, congruence, straightness, and angle are presented through suggested activities, lesson plans, and evaluation procedures. (SD)

Activities related to content areas important to the primary mathematics program, but outside the scope of arithmetic, geometry and measurement, are presented. Topics include relations, number sentences, solving sentences, logic, probability, statistics, number theory, and the system of integers, Inclusion of these topics is justified and…

Reports on the second place win in the sixteenth international mathematics olympiad by the eight member United States team. The competitors reported that they gained their mathematical competence in spite of their schools. (GS)

In a mathematics course for preservice mathematics teachers, students were assigned non-routine problems on material previously studied to help develop intuition and critical thinking. Problems were returned with extensive comments, and had to be reconsidered until solved. (SD)

The Czechoslovakian Academy of Sciences is sponsoring an experimental approach to the modernization of the geometry curriculum. Geometry is viewed as ancillary to other parts of the curriculum and is taught as appropriate to other subjects (e.g., algebra). Combinatorial geometry is taught formally. (SD)

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…