NotesFAQContact Us
Collection
Advanced
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ1067451
Record Type: Journal
Publication Date: 2015-Aug
Pages: 32
Abstractor: As Provided
Reference Count: 53
ISBN: N/A
ISSN: ISSN-0021-8251
The Codevelopment of Mathematical Concepts and the Practice of Defining
Kobiela, Marta; Lehrer, Richard
Journal for Research in Mathematics Education, v46 n4 p423-454 Jul 2015
We examined the codevelopment of mathematical concepts and the mathematical practice of defining within a sixth-grade class investigating space and geometry. Drawing upon existing literature, we present a framework for describing forms of participation in defining, what we term aspects of definitional practice. Analysis of classroom interactions during 16 episodes spanning earlier and later phases of instruction illustrate how student participation in aspects of definitional practice influenced their emerging conceptions of the geometry of shape and form and how emerging conceptions of shape and form provided opportunities to develop and elaborate aspects of definitional practice. Several forms of teacher discourse appeared to support students' participation and students' increasing agency over time. These included: (a) requesting that members of the class participate in various aspects of practice, (b) asking questions that serve to expand the mathematical system, (c) modeling participation in aspects of practice, (d) proposing examples that create contest (i.e., monsters), and (e) explicitly stating expectations of and purposes for participating in the practice.
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; Intermediate Grades; Middle Schools; Elementary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A