ERIC Number: EJ801038
Record Type: Journal
Publication Date: 2008-Jul
Pages: 30
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0021-8251
EISSN: N/A
Josh's Operational Conjectures: Abductions of a Splitting Operation and the Construction of New Fractional Schemes
Norton, Anderson
Journal for Research in Mathematics Education, v39 n4 p401-430 Jul 2008
This article reports on students' learning through conjecturing, by drawing on a semester-long teaching experiment with 6 sixth-grade students. It focuses on 1 of the students, Josh, who developed especially powerful ways of operating over the course of the teaching experiment. Through a fine-grained analysis of Josh's actions, this article integrates Piaget's scheme theory (1950/2001) and Peirce's logic of abduction (1998) into a new theory about conjecturing that explains Josh's learning. (Contains 10 footnotes, 1 table, and 5 figures.)
Descriptors: Concept Formation, Constructivism (Learning), Cognitive Processes, Context Effect, Mathematics, Grade 6, Mathematics Instruction, Mathematical Concepts, Piagetian Theory, Logical Thinking
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 6
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A