From Equations to Structures: Modes of Relevance of Abstract Algebra to School Mathematics as Viewed by Teacher Educators and Teachers

  • Josephine ShamashEmail author
  • Marita Barabash
  • Ruhama Even
Part of the Research in Mathematics Education book series (RME)


This chapter examines what might be the relevance of a unique abstract algebra course to teaching secondary school mathematics. The course was especially designed for experienced Israeli secondary school teachers of mathematics. One of its aims was to make the course relevant to the teachers’ work, for which we defined several modes of relevance. Analysis of didactical materials designed by the participating teachers, in which they connected the mathematics learned in the abstract algebra course to the school curriculum and teaching, exemplifies contribution of studies in the abstract algebra course at the level of specific content (i.e., algebra), and at the more general epistemological level of the nature of mathematics.


Abstract algebra School algebra Secondary school mathematics Linking abstract algebra and school mathematics Teacher professional development 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Josephine Shamash
    • 1
    • 2
    Email author
  • Marita Barabash
    • 1
    • 2
  • Ruhama Even
    • 2
  1. 1.Department of MathematicsAchva Academic CollegeArugotIsrael
  2. 2.Department of Science TeachingWeizmann Institute of ScienceRehovotIsrael

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