We report on a case study of the？mathematical？content of a 10th？grade？social studies？textbook. We develop our case in three analytical steps. First, we identify, describe, and categorize the full range of mathematics in the book. Put simply, we ask: What mathematical forms (e.g., Cartesian graphs and problems) do we find and what kinds of mathematical work do they require? Second, we characterize and critically evaluate the mathematics content in the textbook, focusing in particular on the kinds of mathematics literacy and student reasoning that the book fosters. Third and finally, we operationalize a measure of the “density” of mathematics in the textbook—that is, an estimate of the presence and pervasiveness of mathematical objects and practices relative to other disciplinary contents？and track how such “density” has changed over the past three editions of the same volume. Doing so helps us further contextualize and elaborate the prior analyses, but also surfaces shifts in the patterns of mathematics presence in that textbook series, including the growing encroachment of mathematics exercising and visual/representational presence.
Lee, V. R. (2010). Adaptations and Continuities in the Use and Design of Visual Representations in US Middle School Science Textbooks. International Journal of Science Education, 32, 1099-1126. https://doi.org/10.1080/09500690903253916
Schoenfeld, A. (1992). Learning to Think Mathematically: Problem Solving, Meta-Cognition, and Sense Making in Mathematics. In D. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning (pp. 334-370). New York: McMillan.
Schoenfeld, A. (2007). Problem Solving in the United States, 1970-2008: Research and Theory, Practice and Politics. The International Journal of Mathematics Education, 39, 537-551. https://doi.org/10.1007/s11858-007-0038-z
Sleeter, C. E., & Grant, C. A. (1991). Race, Class, Gender, and Disability in Current Textbooks. In M. Apple & L. K. Christian-Smith (Eds.), The Politics of the Textbook (pp. 78–110). New York, NY: Routledge.
Stanic, G., & Kilpatrick, J. (1989). Historical Perspectives on Problem Solving in the Mathematics Curriculum. In R. Charles & E. Silver (Eds.), The Teaching and Assessing of Mathematical Problem Solving (pp. 1-22). Reston, VA: National Council of Teachers of Mathematics.