Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

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 advance...

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Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Research in Mathematics Education,
Schlagworte:
Mathematics-Study and teaching .
Learning.
Instruction.
ISBN:9783319992143
ISSN:2570-4729
Online-Zugang: Volltext
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Inhaltsangabe:
  • 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
  • .

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