Excavating School Mathematics

  • William McCallumEmail author
Part of the Research in Mathematics Education book series (RME)


In this chapter we give some examples of how the higher standpoint of abstract algebra might be useful in examining the secondary school algebra curriculum and helpful in building a coherent approach to school mathematics. We consider the case of quadratic equations, a topic which was once a topic of the abstract algebra of its day but whose place in the secondary curriculum is sometimes now questioned. We then consider the influence of the higher standpoint on the development of the algebra standards in the Common Core State Standards in Mathematics. We conclude with a discussion of the implications for teacher knowledge.


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsThe University of ArizonaTucsonUSA

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