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Corey Webel and Sheunghyun Yeo

In this article, we share results from a field experience model in which junior-year methods classes were held in an elementary school and preservice teachers (PSTs) worked with a single student (a “Math Buddy") on mathematics for 30 minutes per day. We focus on the development of PSTs’ skills for exploring children’s thinking and the structures and tools that we used to support this development. Data sources include screencast recordings of interactions with Math Buddies and written reflections completed by PSTs. Although the responsiveness of interactions varied across individuals and interactions, in general, PSTs showed improvements in exploring children’s thinking. We share implications of these findings for similar field experience models and for practice-based approaches to teacher education generally.

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Katherine E. Lewis

Mathematical learning disability (MLD) research often conflates low achievement with disabilities and focuses exclusively on deficits of students with MLDs. In this study, the author adopts an alternative approach using a response-to-intervention MLD classification model to identify the resources students draw on rather than the skills they lack. Detailed diagnostic analyses of the sessions revealed that the students understood mathematical representations in atypical ways and that this directly contributed to the persistent difficulties they experienced. Implications for screening and remediation approaches are discussed.

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John K. Lannin and Kathryn B. Chval

Use these specific strategies to confront assumptions about teaching and learning mathematics.

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Aimee J. Ellington and Joy W. Whitenack

A mathematics specialist has great success using a pattern-block configuration to help a small group of fifth graders understand that fractional parts of a whole unit must be equal in size. That's just the way the funky cookie crumbles.

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Sharon A. Edwards, Robert W. Maloy, and Gordon Anderson

Learning mathematical problem solving is as easy as 1, 2, 3 when teachers use flexible instructional strategies.

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Hulya Kilic, Dionne I. Cross, Filyet A. Ersoz, Denise S. Mewborn, Diana Swanagan, and Jisun Kim

Different types of instructional facilitation influence students' thinking and reasoning; reflecting on your own practices can help you determine your role as an instructor and increase your competence.