A Concrete-to-Abstract Software Ramp [microform] : Environments for Learning Multiplication, Division and Intensive Quantity. Technical Report 87-8 / James J. Kaput and Laurie Pattison-Gordon
- Bib ID:
- 5491454
- Format:
- Book and Microform
- Author:
- Kaput, James J
- Online Version:
- https://eric.ed.gov/?id=ED294713
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- Description:
-
- [Washington, D.C.] : Distributed by ERIC Clearinghouse, 1987
- 51 p.
- Summary:
-
This document is intended to describe several software learning environments in an order that parallels a reasonable sequence of use by students. It also describes a planned an designed, but not yet implemented, extension of these environments from the discrete to the continuous case. Each of the implemented environments was developed in continuous collaboration with teachers and their students from grades three to eight. An important characteristic of these environments is their systematic linking of concrete representations, beginning with iconic representations, to more abstract representations. The report is designed to serve two functions: (1) as an overview to learning the conceptual field of multiplicative structures; and (2) as a guide to software environments. The remainder of the report is organized according to the design of the software environments. This includes descriptions of the icon-based calculation environments, the environment that introduces the numerical and graphic representations, the algebraic representations that extend these environments, the sampling environments, and finally the transitions to the continuous environment. (TW)
- Notes:
-
- Sponsoring Agency: Office of Educational Research and Improvement (ED), Washington, DC.
- Contract Number: 400-83-0041.
- ERIC Note: Some drawings and charts may not reproduce well.
- Teachers.
- Researchers.
- Practitioners.
- May also be available online. Address as at 14/8/18: https://eric.ed.gov/
- Reproduction:
- Microfiche. [Washington D.C.]: ERIC Clearinghouse microfiches : positive.
- Subject:
- Other authors/contributors:
- Available From:
- ERIC
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Published
- Publication date:
- 1987
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