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Association: Name: North American Chapter of the International Group for the Psychology of Mathematics Education URL: http://www.pmena.org
Citation: URL: http://www.allacademic.com/meta/p117672_index.html Direct Link: HTML Code:

powell, arthur., Maher, Carolyn. and Alston, alice. "Ideas, Sense Making, and the Early Development of Reasoning in an Informal Mathematics Setting" Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Delta Chelsea Hotel, Toronto, Ontario, Canada, Oct 21, 2004 <Not Available>. 2009-05-26 <http://www.allacademic.com/meta/p117672_index.html>

powell, a. b., Maher, C. A. and Alston, a. S. , 2004-10-21 "Ideas, Sense Making, and the Early Development of Reasoning in an Informal Mathematics Setting" Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Delta Chelsea Hotel, Toronto, Ontario, Canada Online <.PDF>. 2009-05-26 from http://www.allacademic.com/meta/p117672_index.html

Publication Type: Conference Paper/Unpublished Manuscript Review Method: Peer Reviewed Abstract: We report on initial results of a three-year longitudinal study into the development of mathematical ideas and forms of reasoning that students in middle school build in an informal, after-school environment. Twenty-four sixth graders from an economically depressed, urban school district investigate well-defined, open-ended tasks during eight, one and a half hour sessions in the fall of 2004. From students’ observations of and actions with physical objects (Cuisenaire rods) while solving problems, we report on their initial explorations and give examples of their reasoning. Through their actions, observations, and explanations, we observe students building a foundational understanding of ideas about and operations with fractions.

Comparing Maps Developed by Practicing Elementary School Teachers and High School Students Through Task-Based Mathematics

A Comparative Study of the Achievement of Graduates of National Science Foundation-Funded and Commercially Developed High School Mathematics Curricula in Their First Year of University Mathematics Work

Developing Citizens: A Longitudinal Study of School, Family, and Community Influences on Students’ Commitments to Civic Participation