대한수학교육학회지:수학교육학연구 (Journal of Educational Research in Mathematics)
- 제8권1호
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- Pages.137-144
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- 1998
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- 2288-7733(pISSN)
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- 2288-8357(eISSN)
수격자점을 꼭지점으로 갖는 정육면체의 개수 -지오보드의 활용-
Cubes with lattics-point vertices
초록
A common geoboard puzzel serves as the point of departure for an investigation that lends itself to whole-group discussion with a class of prospective secondary school teachers. Students are provided with opportunities to devise and carry out problem-solving strategies (called 'heuristics' by Polya); exploit inerrelationships among geometry, arithmetic and algebra; formulate generalizations and conjectures; plan and execute an computational project; construct mathematical arguments to establish theorems; and find counter-examples to dispose of a false conjecture. In recent tears, Eugene F. Krause wrote two papers having the same title except for the numeral In that papers he arrives at an theorem about the sizes of squares with lattice point vertices in the coordinate plane, In this paper we follow a different path genearlization to coordinate 3-space
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