Extending a Powerful Idea
Mathematics is much more than the manipulation of numbers. At its best, it involves simple, clear examples of thought so apt to the world we live in that those examples provide guidance for our thinking about problems we meet subsequently. We call such examples, capable of heuristic use, POWE...
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| Language: | en_US |
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2004
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| Online Access: | http://hdl.handle.net/1721.1/5704 |
| _version_ | 1826213197279920128 |
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| author | Lawler, Robert W. |
| author_facet | Lawler, Robert W. |
| author_sort | Lawler, Robert W. |
| collection | MIT |
| description | Mathematics is much more than the manipulation of numbers. At its best, it involves simple, clear examples of thought so apt to the world we live in that those examples provide guidance for our thinking about problems we meet subsequently. We call such examples, capable of heuristic use, POWERFUL IDEAS, after Papert (1980). This article documents a child's introduction to a specific powerful idea in a computer environment. We trace his extensions of that idea to other problem areas, the first similar to his initial experience and the second more remote from it. |
| first_indexed | 2024-09-23T15:44:51Z |
| id | mit-1721.1/5704 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:44:51Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/57042019-04-12T08:27:12Z Extending a Powerful Idea Lawler, Robert W. computers and education mathematics education computersdesigns cognitive psychology Mathematics is much more than the manipulation of numbers. At its best, it involves simple, clear examples of thought so apt to the world we live in that those examples provide guidance for our thinking about problems we meet subsequently. We call such examples, capable of heuristic use, POWERFUL IDEAS, after Papert (1980). This article documents a child's introduction to a specific powerful idea in a computer environment. We trace his extensions of that idea to other problem areas, the first similar to his initial experience and the second more remote from it. 2004-10-01T20:31:55Z 2004-10-01T20:31:55Z 1980-07-01 AIM-590 http://hdl.handle.net/1721.1/5704 en_US AIM-590 21 p. 6159517 bytes 4238685 bytes application/postscript application/pdf application/postscript application/pdf |
| spellingShingle | computers and education mathematics education computersdesigns cognitive psychology Lawler, Robert W. Extending a Powerful Idea |
| title | Extending a Powerful Idea |
| title_full | Extending a Powerful Idea |
| title_fullStr | Extending a Powerful Idea |
| title_full_unstemmed | Extending a Powerful Idea |
| title_short | Extending a Powerful Idea |
| title_sort | extending a powerful idea |
| topic | computers and education mathematics education computersdesigns cognitive psychology |
| url | http://hdl.handle.net/1721.1/5704 |
| work_keys_str_mv | AT lawlerrobertw extendingapowerfulidea |