Review of Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations by Heid, Wilson, & Blue (2015)
- book review,
- mathematics education
Copyright (c) 2021 Bridget Kinsella Druken
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Imagine a high school mathematics teacher looking for big mathematical ideas while planning their secondary mathematics lessons. They might come across questions like the following and wonder how they might best respond to support their student’s learning: Why is it that when you multiply two negative numbers together, you get a positive number answer? How can we think about measures of center using box plots? Why is a number raised to the zero power 1 and not 0, and, what is 0 raised to the 0 power? This review of Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations by Heid, Wilson, and Blume (2015) addresses how to go about responding.
- Common Core State Standards Initiative. (2010). Standards for mathematical practice. http://www.corestandards.org/Math/Practice/
- Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. W. (2009). Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055–2100.
- Heid, M. K., Wilson, P. S., & Blume, G. W. (2015). Mathematical understanding for secondary teaching: A framework and classroom-based situations. National Council of Teachers of Mathematics & Information Age Publishing.
- Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L., & Ball, D. L. (2008) Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study. Cognition and Instruction, 26(4), 430–511. https://doi.org/10.1080/07370000802177235
- Lewis, C. C., Perry, R. R., & Hurd, J. (2009). Improving mathematics instruction through lesson study: A theoretical model and North American case. Journal of Mathematics Teacher Education, 12, 285–304. http://dx.doi.org/10.1007/s10857-009-9102-7
- National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. https://www.nctm.org/standards/
- National Research Council. (2001). Adding it up: Helping children learn mathematics. The National Academies Press. https://doi.org/10.17226/9822