History of mathematics: illuminating understanding of school mathematics concepts for prospective mathematics teachers
 Kathleen Michelle Clark
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The use of the history of mathematics in teaching has long been considered a tool for enriching students’ mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of research conducted over four semesters in which I sought to characterize what prospective mathematics teachers (PMTs) understand about the topics that they will be called upon to teach in the future and how that teaching might include an historical component. In particular, I focus on how the study and application of the history of solving quadratic equations illuminates what PMTs know (or do not know) about this essential secondary school algebraic topic. Additionally, I discuss how the results signal important considerations for mathematics teacher preparation programs with regard to connecting PMTs' mathematical and pedagogical knowledge, and their ability to engage in historical perspectives to improve their own and their future students' understanding of solving quadratic equations.
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 Title
 History of mathematics: illuminating understanding of school mathematics concepts for prospective mathematics teachers
 Journal

Educational Studies in Mathematics
Volume 81, Issue 1 , pp 6784
 Cover Date
 20120901
 DOI
 10.1007/s106490119361y
 Print ISSN
 00131954
 Online ISSN
 15730816
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 History of mathematics
 AlKhwarizmi
 Mathematical knowledge for teaching
 Algebra
 Quadratic equations
 Completing the square
 Mathematics teacher preparation
 Authors

 Kathleen Michelle Clark ^{(1)}
 Author Affiliations

 1. Florida State University, Tallahassee, FL, USA