Identified and classified solution strategies of (n=49) 10th-grade students who were presented with linear programming problems in a predominantly visual setting in the form of a computerized game. Visual strategies were developed more frequently than either algebraic or mixed strategies. Appendix includes questionnaires. (Contains 11 references.)…

Reports on conceptual understanding and solution strategies for percent problems of (n=31) students representing 2 ability levels from grades 5, 7, 9, and 11. Strategies evolved from intuitive to formal and increased in diversity with increasing age. Appendix includes concept and computation interview questions. (Contains 15 references.) (MKR)

Discusses the changing nature of our world, particularly in regard to the technical revolution. Considers the effects of the changing world on primary education. Maintains that young students in our changing world share basic curricular needs regardless of where they live. (BB)

Presents activities designed to give students an opportunity to solve concrete problems involving spatial relationships and logical thinking utilizing hands-on manipulatives. Provides teacher instructions and four reproducible worksheets. (MDH)

Explored relationships between 137 grade-8 cognitive items used in the 1990 National Assessment of Educational Progress and selected themes from the National Council of Teachers of Mathematics'"Standards." About half the items related to four "Standards" themes, with most of those being related to problem solving and reasoning.…

This "Instructor" Supplement on middle school education, presents articles on new research and materials, adolescent development, reasons for teaching middle school, moving toward a middle school curriculum, peer teaching, multimedia software, murder mysteries, ancient China, geometry, teamwork, descriptive writing, literature, problem solving,…

Debates about the future of school mathematics in the United States often center on whether standards-based instruction is improving or undermining students' achievement. Critical for making progress in these debates is information about the actual nature of classroom practice in U.S. classrooms. This article focuses on one key element of…

This paper examines ways in which coherent reasoning about key concepts such as variability, sampling, data, and distribution can be developed as part of statistics education. Instructional activities that could support such reasoning were developed through design research conducted with students in grades 7 and 8. Results are reported from a…

This report summarizes Austin ISD's state-funded Optional Extended Year Program activities for the 2006-2007 school year.

A third-grade teacher and a teacher educator argue that, in an elementary mathematics class in which the teacher is encouraging the children to communicate and justify their mathematical ideas, the features of a mathematical task shape the mathematical discourse. They conjecture that divergent tasks, problems with many correct answers, may…

The call for educational reform has caused mathematics curriculum, instruction, and assessment to come under both professional and public scrutiny. The three elements contesting for leadership in assessment reform are the conventional testing agencies, reformers led by the National Council of Teachers of Mathematics (NCTM), and political agencies…

This publication is designed to provide teachers with Grade 4 activities in mathematics that match the requirements of the North Carolina Standard Course of Study. The Grade 4 Mathematics Standard and related competency goals and objectives from the North Carolina Standard Course of Study and Mathematics Teacher Handbook are reproduced in the…

The Thinking Mathematics project, a joint effort of the American Federation of Teachers and the Learning Research and Development Center, had the primary objective of developing more efficient means of disseminating new knowledge about mathematics learning and instruction. The resulting practitioner-researcher collaboration developed an…

This booklet is one in a series on different education topics intended to help parents make the most of their child's natural curiosity and become an integral part of reaching the National Education Goals as set forth by the President and governors in 1990. The book suggests ways that parents can generate interest in mathematics in children aged…

These two booklets (one in English and one in Spanish) are designed to help parents become more involved in their children's mathematics education. The booklets are divided into two sections. The first section explains why mathematics is an important subject for children to learn as they prepare themselves for a place in today's society. The…