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Influence Of Proportional Number Relationships On Item Accessibility And Students’ Strategies, Michele B. Carney, Everett Smith, Gwyneth R. Hughes, Jonathan L. Brendefur, Angela Crawford
Influence Of Proportional Number Relationships On Item Accessibility And Students’ Strategies, Michele B. Carney, Everett Smith, Gwyneth R. Hughes, Jonathan L. Brendefur, Angela Crawford
Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations
Extensive evidence points to the need for mathematics instruction to tap into students’ informal understandings in order to conceptually develop formal mathematical ideas (Ahl, Moore, & Dixon, 1992; Freudenthal, 1973, 1991; Treffers, 1987). Contextual problems are a common means of helping students access their informal mathematical ideas (Lamon, 1993; Moore & Carlson, 2012). However, to successfully use context in this manner, we must ensure these problems are accessible to students and have the potential to promote connections to deeper or more formal mathematics (Jackson, Garrison, Wilson, Gibbons, & Shahan, 2013; Stein, Smith, Henningsen, & Silver, 2000). There is thus a …