Developed during the 1976-77 school year to assist Washington grade 7-8 teachers in small school districts with the improvement of curriculum and instruction, this learning-objective-based curriculum suggests activities, monitoring procedures and resources for mathematics. Introductory materials describe the organization of Small School materials,…

This guide represents the final experimental version of a pilot project conducted in the Unites States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

Theory and research regarding four levels of concept attainment and three uses of concepts as specified by the conceptual learning and development (CLD) model are described. Assessment batteries were developed to assess each child's level of concept attainment and also the related use of the concepts equilateral triangle, cutting tool, and noun.…

This volume provides an outline of critical high school equivalency skills in mathematics, a test scoring procedure designed to assess these skills, and a guide to the use of 12 publications which would be useful in instruction. The volume is intended for use by teachers of students who are preparing to take the Test of General Educational…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference presents the following research reports: (1) Text Talk, Body Talk, Table Talk: A Design of Ratio and Proportion as Classroom Parallel Events (Dor Abrahamson); (2) Generalizing the Context and Generalising the Calculation (Janet Ainley); (3) Interview…

Collections of small objects have often been used in mathematics programs to develop classification and patterning skills. This book synthesizes that body of experience to create a new and original sequence of activities that build upon each other in order to draw out the greatest possible educational richness from the treasures. Treasure Boxes is…

For many adults, geometry is a mathematics topic that immediately makes sense to them and gives them confidence in their ability to learn, while other adult learners identify geometry with failure. Most adults, however, do recognize the need for measurement, and many have a basic understanding of measurement concepts, although they may need to…

Summarizes eight papers from the 1989 National Educational Computing Conference (NECC). The papers describe: (1) programs for teaching physical science, astronomy, and mathematics; (2) integrating telecommunications into school science; (3) use of models and simulations; and (4) the 1988 Association for the Education of Teachers in Science…

Describes unusual mathematical assignments and writing methods utilized in college geometry classes for students with little or no geometric background. Includes a bibliography of 51 source books suggested for use by students enrolled in these courses. (JJK)

Presents a series of activities that help students discover the Pythagorean Theorem and extension activities to explore various dissection proofs of the Pythagorean Theorem. Includes reproducible worksheets. (MDH)

Presents four articles for elementary teachers. The first shows how teachers can guide students to write stories from personal experiences. The second offers suggestions for mathematics instruction, focusing on primary level geometry and intermediate level problem solving. The third focuses on folk-art barn paintings. The fourth uses pumpkins to…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…

These conference proceedings include two invited lectures, four working group reports, five topic group reports, a list of participants, and a list of previous proceedings. The invited lectures were: "Teaching Mathematical Proof: Relevance and Complexity of a Social Approach" (Nicolas Balacheff) and "Geometry Is Alive and…

This guide focuses on the Square One TV game shows, which explore areas ranging from probability and statistics to geometry. Eight game shows are described including the game rules, materials, directions, strategies for playing the games, actual game questions, and reproducible student pages. Follow-up activities provide ideas for using the games…

Focusing primarily on student cognitive processes, this second yearbook of the Finnish Association of Mathematics and Science Education Research contains five articles and a thesis summary on mathematics teaching and learning. Areas of investigation include: (1) learning styles and strategies; (2) processes and strategies in solving elementary…