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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