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Greer, Brian; De Bock, Dirk; Van Dooren, Wim – Journal of Mathematical Behavior, 2009
The Isis problem, which has a link with the Isis cult of ancient Egypt, asks: "Find which rectangles with sides of integral length (in some unit) have area and perimeter (numerically) equal, and prove the result." Since the solution requires minimal technical mathematics, the problem is accessible to a wide range of students. Further, it is…
Descriptors: Mathematics Education, Mathematics Teachers, Educational Resources, Mathematics
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Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy; Barkai, Ruthi; Tabach, Michal – Journal of Mathematical Behavior, 2009
Calls for reform in mathematics education around the world state that proofs should be part of school mathematics at all levels. Turning these calls into a reality falls on teachers' shoulders. This paper focuses on one secondary school teacher's reactions to students' suggested proofs and justifications in elementary number theory. To determine…
Descriptors: Mathematics Education, Number Concepts, Secondary School Teachers, Mathematical Logic
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Harkness, Shelly Sheats; Thomas, Jonathan – Journal of Mathematical Behavior, 2008
This article describes the use of a case report, Multiplication as original sin (Corwin, R. B. (1989). "Multiplication as original sin." "Journal of Mathematical Behavior, 8", 223-225), as an assignment in a mathematics course for preservice elementary teachers. In this case study, Corwin described her experience as a 6th grader when she revealed…
Descriptors: Preservice Teacher Education, Preservice Teachers, Validity, Mathematics Instruction