Encyclopedia of Mathematics Education

2020 Edition
| Editors: Stephen Lerman

Subject Matter Knowledge Within “Mathematical Knowledge for Teaching”

  • Jill AdlerEmail author
  • Hamsa Venkat
Reference work entry
DOI: https://doi.org/10.1007/978-3-030-15789-0_98


Mathematics subject matter knowledge refers to knowledge of the discipline’s body of concepts, procedures, and processes, of deriving results and warrants for these processes. Mathematics subject matter knowledge within mathematics knowledge for teaching includes awareness of definitions and their implications and of representations and rationales for problem-solving processes.

An elaborated description is provided by Shulman below


It was Shulman’s Presidential Address at the 1985 annual meeting of the American Educational Research Association, and its following publications (Shulman 1986, 1987), that placed content knowledge in and for teaching firmly on the educational research, policy, and practice agenda. Shulman developed this focus from a critique of research on teaching at the time, arguing that attention is needed as much to “the content aspects of teaching as we have recently devoted to the elements of teaching process” (1986, p. 8), and elaborated...


Subject matter knowledge Mathematical knowledge for teaching Lee Shulman Deborah Ball COACTIV 
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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.School of EducationUniversity of the WitwatersrandJohannesburgSouth Africa

Section editors and affiliations

  • Mellony Graven
    • 1
  1. 1.Faculty of EducationRhodes UniversityGrahamstownSouth Africa