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Assessment of Prospective Teachers� Multiple Proof Construction of a Trapezoid Area Formula |
Xuhua Sun |
Abstract |
The concept of multiple proofs is important, but measuring the multiple-proofs ability of teachers and developing a systematic assessment method are relatively new endeavors. Examining the structures of the participants� proof spaces, this study extends the perspective for understanding proving by combining the structure of observed learning outcomes (SOLO) framework and tools of validity. A multiple-proof task involving the trapezoid area formula is used as an investigative tool. A total of 19 elementary and 23 secondary prospective teachers were asked to provide multiple proofs. As mainstream proof research frequently takes a validity perspective, in this paper, we added a conceptual development perspective of multiple proofs, which enabled us to see which parts of proof assessment are complementary and interrelated in a more integrative perspective. |
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