© 2018

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

  • Nicholas H. Wasserman

Part of the Research in Mathematics Education book series (RME)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Exploring Students’ Learning of Abstract Algebra Concepts Closely Connected to Secondary Mathematics

  3. Exploring Mathematical Connections Between Abstract Algebra and Secondary Mathematics

  4. Exploring Approaches to Secondary Teacher Education: Engaging in Abstract Algebra in Relation to Developing Disciplinary Practices

  5. Exploring Approaches to Secondary Teacher Education: Engaging in Abstract Algebra in Relation to Pedagogical Problems in Teaching Secondary Mathematics

    1. Front Matter
      Pages 333-333

About this book


Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. 

This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. 

Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics. 


Secondary Mathematics Teacher Education Abstract Algebra Secondary Mathematics Connections between Secondary and Tertiary Mathematics Mathematical Knowledge for Teaching Mathematical Knowledge for Secondary Teaching

Editors and affiliations

  • Nicholas H. Wasserman
    • 1
  1. 1.Department of Mathematics, Science and Technology, Teachers CollegeColumbia UniversityNew YorkUSA

About the editors

Nicholas H. Wasserman is an Assistant Professor of Mathematics Education at Teachers College, Columbia University. Previously, he taught mathematics for six years at the secondary level, in both a large public school in Austin and a private school in Manhattan. His scholarly interests focus on mathematics teachers' knowledge and development, particularly on how advanced content knowledge is relevant for teachers and influences secondary classroom teaching and practice. Dr. Wasserman's research has led him to examine how knowledge of Abstract Algebra becomes influential for the teaching of numerical and algebraic concepts in school mathematics. He is also collaborating with faculty from Rutgers University and Temple University to develop an instructional model for designing tasks in a real analysis course with secondary teachers in mind. His related interests include: combinatorics education, both at the secondary and undergraduate levels; as well as how the use of dynamic technologies can influence mathematics teaching and learning.

Bibliographic information

  • Book Title Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers
  • Editors Nicholas H. Wasserman
  • Series Title Research in Mathematics Education
  • Series Abbreviated Title Res. Mathem. Edu.
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Education Education (R0)
  • Hardcover ISBN 978-3-319-99213-6
  • eBook ISBN 978-3-319-99214-3
  • Series ISSN 2570-4729
  • Series E-ISSN 2570-4737
  • Edition Number 1
  • Number of Pages XXIII, 461
  • Number of Illustrations 37 b/w illustrations, 12 illustrations in colour
  • Topics Mathematics Education
    Learning & Instruction
  • Buy this book on publisher's site