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One Problem, Two Contexts, Danielle L. Gigger
One Problem, Two Contexts, Danielle L. Gigger
Theses and Dissertations
In this study, a group of students were presented with two mathematically isomorphic problems but in radically different contexts. Analysis of their thinking and reasoning as they worked to solve and explain each problem demonstrates that the thinking and reasoning that emerged in each problem responded to clear purposes that the problems elicited in these students. The first problem was posed in a context that relied on experience and intuition rather than a formal mathematical description. The second problem was posed in a formal, set-theoretic context. While the analysis offered here reveals similarities in the students' final reasoning in the …
Creating Mathematics Performance Assessments That Address Multiple Student Levels, Damon L. Bahr
Creating Mathematics Performance Assessments That Address Multiple Student Levels, Damon L. Bahr
Faculty Publications
In recent times there has been considerable commentary regarding the need to enhance mathematical assessment as evidenced by Numeracy, A Priority for All: Challenges for Australian Schools (2000). This emphasis on assessment is timely because although the mathematical reform movement has produced much-needed improvements in both curriculum and instruction, changes in assessment have not kept pace (Firestone & Schorr. 2004; Morgan, 1998). As Ridgeway (1998, p.2) states, "As an issue of policy, the implementation of standards-based curricula should always be accompanied by the implementation of standards-based assessment. In fact, incremental change in assessment systems will foster concurrent improvement in professional …