ERIC Number: EJ785420
Record Type: Journal
Publication Date: 2007-Dec
Pages: 24
Abstractor: Author
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ISSN: ISSN-1382-3892
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Data Modeling & the Infrastructural Nature of Conceptual Tools
Lesh, Richard; Caylor, Elizabeth; Gupta, Shweta
International Journal of Computers for Mathematical Learning, v12 n3 p231-254 Dec 2007
The goal of this paper is to demonstrate the infrastructural nature of many modern conceptual technologies. The focus of this paper is on conceptual tools associated with elementary types of data modeling. We intend to show a variety of ways in which these conceptual tools not only express thinking, but also mold and shape thinking. And those ways of thinking are often out of sync with the situations that we need to understand and explain. We have chosen to discuss data modeling because in mathematics education, future-oriented statements of curriculum standards generally identify data modeling as a topic that should receive priority attention. Several example activities based on the models and modeling perspectives (MMP) are used to support the claims that: (a) statistical techniques are based on models, (b) alternative models often make significantly different assumptions about how to measure even elementary things such as distances and spread. Also, new technologies for computation, conceptualization, and communication are making significant changes in which statistical techniques are easily executed. Moreover, these newly available techniques are often based on assumptions that are more realistic given the relevant quantities and relationships.
Descriptors: Mathematics Education, Mathematical Models, Mathematics Instruction, Data Analysis, Statistics, Computer Uses in Education, Computation, Concept Formation, Mathematical Concepts, Technology Integration, Educational Technology
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
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Language: English
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