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Learning to See: Making Sense of the Mathematics of Change in Middle School

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Title: Learning to See: Making Sense of the Mathematics of Change in Middle School
Language: English
Authors: Noble, Tracy, Nemirovsky, Ricardo, Dimattia, Cara
Source: International Journal of Computers for Mathematical Learning. May 2004 9(2):109-167.
Availability: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Peer Reviewed: Y
Page Count: 59
Publication Date: 2004
Document Type: Journal Articles
Reports - Descriptive
Education Level: Grade 6
Middle Schools
Descriptors: Grade 6, Computers, Motion, Learning Processes, Computer Software, Graphs, Graphing Calculators, Mathematics Instruction, Change, Computer Simulation, Teaching Methods
DOI: 10.1023/B:IJCO.0000040891.50250.7e
ISSN: 1382-3892
Abstract: In this article, we will describe the results of a study of 6th grade students learning about the mathematics of change. The students in this study worked with software environments for the computer and the graphing calculator that included a simulation of a moving elevator, linked to a graph of its velocity vs. time. We will describe how the students and their teacher negotiated the mathematical meanings of these representations, in interaction with the software and other representational tools available in the classroom. The class developed ways of selectively attending to specific features of stacks of centimeter cubes, hand-drawn graphs, and graphs (labeled velocity vs. time) on the computer screen. In addition, the class became adept at imagining the motions that corresponded to various velocity vs. time graphs. In this article, we describe this development as a process of learning to see mathematical representations of motion. The main question this article addresses is: How do students learn to see mathematical representations in ways that are consistent with the discipline of mathematics?
Abstractor: Author
Entry Date: 2007
Accession Number: EJ758354
Database: ERIC
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  Data: In this article, we will describe the results of a study of 6th grade students learning about the mathematics of change. The students in this study worked with software environments for the computer and the graphing calculator that included a simulation of a moving elevator, linked to a graph of its velocity vs. time. We will describe how the students and their teacher negotiated the mathematical meanings of these representations, in interaction with the software and other representational tools available in the classroom. The class developed ways of selectively attending to specific features of stacks of centimeter cubes, hand-drawn graphs, and graphs (labeled velocity vs. time) on the computer screen. In addition, the class became adept at imagining the motions that corresponded to various velocity vs. time graphs. In this article, we describe this development as a process of learning to see mathematical representations of motion. The main question this article addresses is: How do students learn to see mathematical representations in ways that are consistent with the discipline of mathematics?
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      – Text: English
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        PageCount: 59
        StartPage: 109
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      – SubjectFull: Grade 6
        Type: general
      – SubjectFull: Computers
        Type: general
      – SubjectFull: Motion
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      – SubjectFull: Graphing Calculators
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      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Change
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      – SubjectFull: Computer Simulation
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      – SubjectFull: Teaching Methods
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      – TitleFull: Learning to See: Making Sense of the Mathematics of Change in Middle School
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