Cover Image
close this bookImproving Student Achievement in Mathematics (IAE - IBE - UNESCO, 2000, 48 p.)
View the document(introduction...)
View the documentThe International Academy of Education
View the documentPreface
View the documentIntroduction
View the document1. Opportunity to learn
View the document2. Focus on meaning
View the document3. Learning new concepts and skills while solving problems
View the document4. Opportunities for both invention and practice
View the document5. Openness to student solution methods and student interaction
View the document6. Small-group learning
View the document7. Whole-class discussion
View the document8. Number sense
View the document9. Concrete materials
View the document10. Students’ use of calculators
View the documentConclusions
View the documentAdditional resources
View the documentReferences
View the documentThe International Bureau of Education-IBE

Additional resources

Resources available through the Educational Research Service

Handbook of research on improving student achievement, second edition (207 pages, plus appendix). Edited by Gordon Cawelti, this publication gives teachers, administrators and others access to the knowledge base on instructional practices that improve student learning in all the major subject areas from kindergarten to the end of secondary education, including mathematics. The Handbook, originally published in 1995, has been updated by the original authors, who are respected authorities in their content areas. Thorough reviews of the recent research have led to the addition of new practices and expanded insight into existing practices. An appendix covers research-based practices in beginning reading instruction.

· Improving student achievement in mathematics (28-page booklet). This booklet contains the entire mathematics chapter of the Handbook of research on improving student achievement, written by Douglas A. Grouws and Kristin J. Cebulla. It includes an introduction by Gordon Cawelti and a section on ideas for expanding teachers’ ability to use research-based instructional practices.

· Improving student achievement in mathematics (two 30-minute videotapes). These videotapes illustrate each of the ten instructional practices described in the mathematics chapter of the Handbook, using classroom scenes and interviews with teachers and school administrators in the Cedar Rapids School District, Iowa, and the Alexandria City Schools, Virginia. The teachers’ insights based on their actual experience using these research-based practices can serve as a springboard for powerful staff development activities that will spark discussion and further exploration. The ten practices are presented in self-contained segments, giving users the option of viewing one practice and then studying that practice in detail before exploring additional practices.

ERS Info-Files

Each ERS Info-File contains 70-100 pages of articles from professional journals, summaries of research studies and related literature concerning the topic, plus an annotated bibliography that includes an Educational Resources Information Center (ERIC-CIJE) search.

· Math education and curriculum development. Examines the implementation of the curriculum standards for mathematics, including models for integrating the standards and related impacts on students and teachers.

· Math manipulatives and calculators. Describes the use of concrete objects to teach mathematical concepts. Includes suggestions for materials, the scope of use of manipulatives, structuring manipulatives into lesson plans and use of computers. Discusses the rationale for using calculators to teach mathematical concepts.

· Problem solving in math and science. Reviews effective methods and strategies for teaching problem solving from kindergarten to grade 12. Materials include ideas for activities as well as grading methods.

Additional sources of information

Every child mathematically proficient: an action plan. This action paper was developed by the Learning First Alliance, an organization of twelve leading national education associations. It sets forth recommendations for curriculum changes, professional development initiatives, parent involvement efforts and research-based reforms. 24 pages. Price: $3.00. Order from National Education Association Professional Library order desk: (1-800) 229-4200.

Improving teaching and learning in science and mathematics. Illustrates how constructivist ideas can be used by science and mathematics educators for research and the further improvement of mathematics practice. 1996. Available from Teachers College Press, Teachers College, Columbia University, P.O. Box 20, Williston, VT 05495, USA. Telephone: (1-802) 864-7626.

Mathematics, science, & technology education programs that work, and Promising practices in mathematics and science. Published by the United States Department of Education. The first volume describes programmes from the Department’s National Diffusion Network; the second describes successful programmes identified by the Office of Educational Research and Improvement. Price: $21.00 for the two-volume set. Stock No. 065-000-00627-8. Available from Superintendent of Documents, P.O. Box 371954, Pittsburgh, PA 15250-7954, USA. Telephone: (1-202) 512-1800; fax: (1-202) 512-2250.

Curriculum and evaluation standards for school mathematics. Describes fifty-four standards developed by the National Council of Teachers of Mathematics to ‘create a coherent vision of mathematical literacy and provide standards to guide the revision of the mathematics curriculum in the next decade’. 1989. 258 pages. $25.00. Available from National Council of Teachers of Mathematics, 1906 Association Drive, Reston, VA 20191-1593, USA. Telephone: (1-703) 620-9840; fax: (1-703) 476-2970.

Eisenhower National Clearinghouse (Ohio State University). Part of a network funded by the United States Department of Education, which together with ten regional science and mathematics consortia, collaborates to identify and disseminate exemplary materials, to provide technical assistance about teaching methods and tools to schools, teachers and administrators, and to work with other organizations trying to improve mathematics and science education.


National Center for Improving Student Learning and Achievement in Mathematics and Science, Wisconsin Center for Educational Research, University of Wisconsin-Madison. Publications include the quarterly newsletter Principled practice, which examines educators’ observations and concerns about issues in mathematics and science education. 1025 West Johnson Street, Madison, WI 53706, USA.

Telephone: (1-608) 265-6240; fax: (1-608) 263-3406;
web site:

Related websites

· ERIC Clearinghouse for Science, Mathematics, and Environmental Education

· The Regional Alliance for Mathematics and Science Education

· National Council of Teachers of Mathematics