Describes two computer programs for chemistry: (1) "A Microcomputer Simulation of Fractal Electrodeposition" (provides for the study of fractal aggregrates, BASIC 4.0); and (2) "Counters on Grids" (a game to illustrate the distribution of energy). Notes the programs are available from the authors. (MVL)

Describes the method of having children observe videotapes of other children's mathematics activities to gain insights into the observing children's thought processes and the observed children's activities. Discusses the applications of this method as a research tool and as a probe for classroom teachers in evaluating students. (MDH)

Ninth-grade students' (n=90) responses to impromptu, in-class writing assignments were examined to evaluate students' understanding of mathematical concepts. Participating teachers benefited by seeing how students' writings may reveal misconceptions concerning mathematical concepts, skills, and generalizations. (MDH)

The purpose of this study was to characterize and compare novice and experienced elementary teachers' pedagogical knowledge and pedagogical content knowledge of three major topics in mathematics: whole number operation, fractions, and geometry. The study participants were 26 preservice elementary teachers and 28 experienced kindergarten through…

This document ties the essential skills needed in mathematics to the National Council of Teachers of Mathematics' (NCTM) Curriculum and Evaluation Standards to help facilitate future curriculum development. The overall goal for the 21st century is to make mathematical power a reality for all students. The rationale for this document can be found…

A new approach to teaching and curriculum takes seriously the knowledge children have when they enter school. Teachers use the knowledge each child has to make instructional decisions so that the child learns mathematics with understanding, how to solve problems, and the computational skills. Research concerning the problem-solving strategies…

Part of a program to increase the academic growth of preschool and primary grade children through the utilization of brain hemisphere research, this volume contains lessons for improving math, social studies, and science learning. Material is divided into two major sections. Section 1 contains 11 chapters covering the following math skills:…

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

Based on the premise that psychology can be an invaluable tool to mathematics educators, this book highlights how informal mathematics develops, how children construct their view of school arithmetic, and how mathematical thinking operates. The ideas offered are intended to assist teachers in making informed decisions concerning mathematics…

Each of the 14 environment-related mathematics activities included in this publication by the Upper Mississippi River ECO-Center includes objectives, materials needed, preparation, and activity description. Occasionally, variations and helpful hints are added. Because the student can gain experience to help him with the practical application of…

To help classroom teachers in grades K-9 construct mathematics tests, fifteen general objectives, corresponding sub-objectives, sample test items, and answers are presented. In general, sub-objectives are arranged in increasing order of difficulty. The objectives were written to comprehensively cover three categories. The first, graphs, covers the…

The career activities guide in mathematics, part of an Idaho State Department of Vocational Education career exploration series for grades 7, 8, and 9, is designed as supplementary material to enrich the regular curriculum. Any one activity in the guide might be used without involving any other activities. The cross-referenced index indicates…

Students' brains are wired to make them natural, curious learners. The mathematical world around them offers a vast classroom, filled with shapes, spaces, quantities, and experiences to discover and explore, all leading to the construction of understanding. Teachers can use this natural curiosity to tap the inborn neural mechanisms that motivate…

Developing the Trends in International Mathematics and Science Study (TIMSS) 2007 Assessment Frameworks represents an extensive collaborative effort involving individuals and expert groups from more than 60 countries around the world. The document contains three frameworks for implementing TIMSS 2007--the Mathematics Framework, the Science…

This document is comprised of the one issue in volume 7 of "Bridges," a publication produced by the California Head Start-State Collaboration Office to detail the activities of the educational partnership and to provide relevant information to programs participating in the partnership. The Summer 2002 issue focuses on several topics of…