Titlebook: Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers; Nicholas H. Wasserman Book 2018 Springer Nature

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Using Geometric Habits of Mind to Connect Geometry from a Transformation Perspective to Graph Transfsecondary level and abstract algebra at the university level. These contexts are: (1) reconciling three definitions of congruence, (2) using transformations to understand conventions for defining families of functions and shapes, and (3) analyzing plane transformations of the plane in terms of linea

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Developing a Structural Perspective and Its Role in Connecting School Algebra and Abstract Algebra: a lens (integral domain) and the concept of factorization. We also describe how undergraduate mathematics students engage in mathematical tasks involving factorization of integers and polynomials and make structural sense of the relationship between the set of integers and the set of polynomials in

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2570-4729 cher 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, 978-3-319-99214-3Series ISSN 2570-4729 Series E-ISSN 2570-4737

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Exploring Advanced Mathematics Courses and Content for Secondary Mathematics Teachers, These have included Felix Klein‘s work as a mathematician—in which his synthesis of the study of geometry through abstract algebraic structures has proved influential on our approach to teaching secondary students geometry even today; his work as a mathematics teacher educator—famous for his observ

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What Kind of Opportunities Do Abstract Algebra Courses Provide for Strengthening Future Teachers’ Maabstract algebra and preservice teacher education. A central idea of each chapter was the way that preservice teachers’ learning of abstract algebra could both reinforce and build on their knowledge of secondary mathematics. We focus our commentary primarily on this idea. First, we will characterize