Mathematics in textbooks and indeed in conventional classrooms is often presented as exercises or worksheets in which the mathematics itself has been processed into a form that is easily digested. This McDonald's version of mathematics ensures that the mathematical skill or technique is laid bare and typically the sole focus of attention. In this…

This article demonstrates how a child's invented algorithm about tens and ones generated "transitional thinking" on the way to the construction of a mathematical understanding of place value. The articles also discusses how two important "best practice" classroom strategies, mathematical discourse, and the role of wait time in that discourse take…

The National Council of Teachers of Mathematics (NCTM) has stated that mathematics programs should take full advantage of the power of calculators at all grade levels. This recommendation urges that students be provided access to calculators, and that calculator use be integrated into the core mathematics curriculum on a regular basis. This…

Presented is the third edition of a textbook designed for pre- and inservice teachers of elementary school mathematics. The content was selected on the basis of its direct applicability to the mathematical ideas usually introduced in grades K-6. The content is presented in conjunction with appropriate teaching strategies, determined by research…

This document is the final report of the Regional Training Workshop for the Development of Materials for Mathematics Education in Asia and the Pacific, using a problem-solving approach. The workshop was committed to identifying materials which are readily available at low cost, in sufficient quantities to be used by children in classrooms in any…

This document presents 20 activities for grade 1 students and emphasizes using a calculator. It is related to topics from a primary mathematics curriculum. Mathematical topics addressed include counting, addition and subtraction, the commutative property, greater than and less than, and place value. Each activity includes a statement of skills to…

Presented are several simple kinetic systems together with the spreadsheets used to solve them. A set of exercises in chemical kinetics appropriate for an introductory course in physical chemistry is given. Error propagation calculations with experimental data are illustrated. (CW)

Described is a short program for teaching and learning about geometric transformations. The integration of geometry problem solving and BASIC programing is discussed. Applications of computer graphics are illustrated. (CW)

Results of a study of 117 eighth-grade math students suggest: mastery-based methods were more effective than non-mastery methods in improving lesson achievement; computer-based and traditional delivery systems are of greatest value when complementing each other; and student attitudes were only nominally affected by various treatments. (IAH)

Discusses the limitations in the explain-practice and active learning methods of teaching mathematics. Proposes that problem-centered learning is a teaching method that encourages student reflection, and presents examples demonstrating that encouraging reflection results in greater mathematics achievement. (MDH)

The purpose of this review was to report on the effectiveness and focus of academic self-management interventions for children and adolescents with emotional and behavioral disorders. Twenty-two studies published in 20 articles and involving 78 participants met inclusionary criteria. The overall mean effect size (ES) across those studies was 1.80…

This document is designed to assist teachers and other school personnel in the planning and teaching of the seventh grade mathematics course. Contents include: (1) Overview of Grade 7 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics, and uses…

This issue of the journal contains abstracts and critical comments for 10 published reports on research in mathematics education. The reports concern children's school mobility and achievement, preservice teachers' sources of decisions, spatial visualization in boys and girls, rote versus conceptual emphases in teaching probability, using drawings…

Four high school special education teachers in the Vocational Education Program in the South Bend Community School Corporation participated in a mathematics program. They then conducted classroom research related to their inservice activities with their mildly handicapped students. Teachers used manipulative materials in their inservice sessions…

This report presents the results of a survey conducted with first-, third-, fifth-, and seventh-grade teachers in Delaware, New Jersey, and Pennsylvania. Four classroom process constructs (opportunity, motivators, structure, and instructional events) are used as organizers to present survey responses on classroom processes. In addition,…