Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers.- Connecting Group Concept Inventory Results to Essential Topics at the Secondary Level.- Applying familiar algebraic properties in unfamiliar settings: Supporting connections between school algebra and rings and fields in abstract algebra.- Commentary chapter.- Making visible, and using, the Abstract Algebra already latent in the secondary curriculum.- Foreshadowing ideas in abstract algebra: Reflections from the Secondary School Mathematics Curriculum Improvement Study.- Abstract Algebra and Secondary School Mathematics Connections Identifying and Discussed in Textbooks and by Mathematics Educators.- Commentary chapter.- From equations to structures: Linking abstract algebra and high-school algebra for secondary school teachers.- Learning mathematical practices to connect abstract algebra to high school algebra.- Forms of knowing advanced mathematics for teaching: Considering abstract algebra.- Using algebraic structures for developing secondary students' understandings.- Restructuring Understanding of School Algebra by Building a Transition to Abstract Algebra Structures: A Principle-Based Approach.- Commentary chapter.- Making connections from the secondary classroom to the abstract algebra course - a mathematical activity approach.- Designing tasks in abstract algebra that begin and end in secondary teaching practice.- Group properties to the rescue.- Impact of abstract algebra on teachers' understanding of and approaches to instruction in solving equations.- Commentary chapter.-