ERIC Number: ED470471
Record Type: Non-Journal
Publication Date: 2000-Oct
Developing Conceptions of Algebraic Reasoning in the Primary Grades. Research Report.
Carpenter, Thomas P.; Levi, Linda
This report describes a research project that investigated how to design instruction to help children take the step to generalizing and formalizing their knowledge into powerful abstract systems for representing and operating mathematical ideas. The studies build on existing research on cognitively guided instruction (CGI). The goal of this paper is to begin to understand how to provide support for children to reflect on their procedures in order to form generalizations from them and construct notations for representing their procedures and generalizations abstractly. The conclusion is that overall it appears that students in the primary grades can engage in formulating, representing, and justifying conjectures even though their justifications might not always be sufficient to validate all of the conjectures they are capable of identifying. (Contains 20 references.) (MM)
Descriptors: Algebra, Elementary Education, Mathematics Curriculum, Mathematics Instruction, Thinking Skills
NCISLA, Wisconsin Center for Education Research, University of Wisconsin, School of Education, 1025 W. Johnson Street, Madison, WI 53706. Tel: 608-263-3605; e-mail: firstname.lastname@example.org. For full text: http://www.wcer.wisc.edu/ncisla.
Publication Type: Reports - Research
Education Level: N/A
Sponsor: Office of Educational Research and Improvement (ED), Washington, DC.
Authoring Institution: Wisconsin Univ., Madison. National Center for Improving Student Learning and Achievement in Mathematics and Science.