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Titlebook: Borders in Mathematics Pre-Service Teacher Education; Nenad Radakovic,Limin Jao Book 2020 Springer Nature Switzerland AG 2020 mathematics

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A heuristic explanation of Batcher’s Bafflerrams can model multiplication and division as continuous scaling operations on directed lengths, and we consider how dynamic diagrams could be used as virtual manipulatives in pre-service teacher education.
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Closure-Invariant Rationality Postulatesent profiles of several communities currently popular within North America. In doing so, we demonstrate how the framework can serve as a tool to examine aspects of these communities and understand the boundaries associated with them.
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Continuous Directed Scaling: How Could Dynamic Multiplication and Division Diagrams Be Used to Crossrams can model multiplication and division as continuous scaling operations on directed lengths, and we consider how dynamic diagrams could be used as virtual manipulatives in pre-service teacher education.
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Mathematics Education Communities: Crossing Virtual Boundariesent profiles of several communities currently popular within North America. In doing so, we demonstrate how the framework can serve as a tool to examine aspects of these communities and understand the boundaries associated with them.
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Drawing Inferences from Conditionalse documenting the extent to which sexist and heterosexist ideologies patrol, reinforce, and perpetuate borders in mathematics that often marginalize women and queer people. We conclude the chapter with recommendations around how to blur borders around gender and sexuality in mathematics pre-service teacher education.
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