Presents two sets of calendars for July and August that include simple science or math activities for each day. The first set is for students in grades 3-5; the second set is for middle school students. The activities motivate students to investigate and collect data and reinforce concepts learned in school. (SM)

Presents guidelines for developing and evaluating games in mathematics, including a concrete example--coordinate geometry taught by the Rubber Bones game--and its evaluation using (n=52) seventh graders. Guidelines for development include analysis of the concepts and the learner, nature of learning, enjoyability, integration, and evaluation. (48…

Describes the development of the ability to identify a ratio as the appropriate measure of a given attribute by (n=26) prospective elementary teachers. It was concluded that traditional procedural approaches to teaching ratios do not challenge students to develop their own mathematical models of the world. (21 references) (MKR)

Illustrates aspects of a reflective mathematics education using a project for 14- and 15-year olds. Argues for organizing mathematics education to develop different types of knowing: mathematical skills and concepts; technological competence in applications and mathematical model building; and reflective evaluations of consequences. (53…

Describes the hands-on learning approach and materials developed by TERC (formerly Technology Education Research Centers) for teaching science and mathematics to elementary and secondary students, including software for microcomputer-based labs, networked learning, and data analysis; teacher training workshops and curriculum development tools; and…

Discusses duality between process and concept in mathematics, ambiguity of symbolic notation, and flexibility in thought processes of successful students. Content analysis and empirical evidence suggest a qualitatively different kind of mathematical thought in more able compared to less able elementary students (n=72) in arithmetic. (Contains 42…

Presents an alternative method to teaching percent problems which uses a 10x10 grid to help students visualize percents. Offers a means of representing information and suggests different approaches for finding solutions. Includes reproducible student worksheet. (MKR)

Discusses the changes in the scanning of food and the current use of computer technology and UPC bar codes in a grocery store and traces the history of calculating tools from the use of fingers, abacus, slide rule, calculators, and computers. Includes reproducible student activity sheets. (MKR)

Examines how one teacher's way of knowing mathematics was reflected in language used in teaching concepts of rate to one student. The teacher's conceptualizations of rate were encapsulated in the language of numbers and operations which undermined his effort to help the student understand rates conceptually. (Contains 27 references.) (Author/MKR)

Discusses whether gender differences in mathematics education exist in Zambia, and what are the possible causes. Differences were found to be present both in terms of access and performance. Possible reasons for such differences are examined in light of attitude questionnaires, including the role of teachers. (Contains 33 references.) (Author/MKR)

Discussion of elementary school mathematics instruction focuses on computer graphing programs to teach subtraction that use pictorial representations as well as graphs. Classroom graphing activities for first graders are described, and evaluations of student progress based on pre- and posttests are discussed. (two references) (LRW)

Discussed are properties possessed by polygons inscribed in the lattice parabola y=x, including the area of a triangle, triangles of minimum area, conditions for right triangles, triangles whose area is the cube of an integer, and implications of Pick's Theorem. Further directions to pursue are suggested. (MDH)

Presented are six short articles on an application of an ellipse to carpentry, the area of an ellipse by stacking, using the isoperimetric quotient to solve a minimum problem, using an ill-posed trigonometry problem to encourage deeper exploration of concepts, the volume and centroid of the Step Pyramid of Zoser, and a unique telescoping series…

Challenged is the traditional model for the transmission of mathematics in the elementary school classroom. An inquiry approach to learning mathematics is proposed and supported with results of a year long research project that exposed second graders to mathematical learning experiences using this approach. (MDH)

This study examines the effect of formal representation of blue and yellow color mixtures as rational numbers on students' ability to solve ratio problems comparing the mixtures. Sixty subjects participated, 20 from each of grades 7, 8, and 9 from a Haifa (Israel) junior high school. Introducing the formal representation improved performance for…