Classroom Discussion
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Questioning Our Patterns of Questioning (PDF)
Herbal-Eisenmann, B. A., & Breyfogle, M. L. (May 01, 2005). Questioning Our Patterns of Questioning. Mathematics Teaching in the Middle School, 10, 9, 484-489. Ability and Mathematics: the mindset revolution that is reshaping education (PDF) Boaler, J. (2013). Ability and Mathematics: the mindset revolution that is reshaping education. FORUM, 55, 1, 143-152. |
5 Practices for Orchestrating Productive Mathematics Discussions (Summary)
Smith, M. S., & Stein, M. K. (2011). 5 practices for orchestrating productive mathematics discussions. Reston, VA: National Council of Teachers of Mathematics. Making Mathematics Work in School (PDF) Ball, D.L., Lewis, J. & Thames, M.H. (2008). Making mathematics work in school. Journal for Research in Mathematics Education, Monograph 14, A Study of Teaching: Multiple Lenses, Multiple Views. |
Language
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Mathematics, the Common Core, and Language: Recommendations for Mathematics Instruction for ELs Aligned with the Common Core (PDF)
Judit Moschkovich, University of California, Santa Cruz. |
Assessment
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Keeping Learning on Track (PDF)
Wiliam, D. (2007). Keeping learning on track: Classroom assessment and the regulation of learning. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 1053— 1098). Charlotte, NC: Information Age Publishing. |
Problem Solving
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Learning to Think Mathematically: Problem Solving, Metacognition, and Sense-Making in Mathematics (PDF)
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning (pp. 334-370). New York: MacMillan. Using Low Threshold High Ceiling Tasks in Ordinary Classrooms (PDF) Lynne McClure. (2011). http://nrich.maths.org/7701 © University of Cambridge |
How to Solve It
Pólya, G. (1957). How to solve it: A new aspect of mathematical method. Garden City, N.Y: Doubleday. |
About Mathematics
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Rethinking mathematics: Teaching social justice by the numbers (Table of Contents)
Gutstein, E., & Peterson, R. (2005) Rethinking mathematics: Teaching social justice by the numbers. Milwaukee: Rethinking Schools. Habits of Mind: An organizing principle for mathematics curricula (PDF) Cuoco, A., Goldenberg, E. P., & Mark, J. (1996). Habits of mind: An organizing principle for mathematics curricula. The Journal of Mathematical Behavior, 15(4), 375-402. |