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

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Anwendungen des Sinus- und Kosinussatzes., theory. In this chapter, we share results from a large-scale implementation of the GTCA with 375 students across 30 undergraduate institutions in the USA. We include a breakdown of performance based on major. We pair these findings with a detailed look at several GTCA tasks with direct connections

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Berechnung des rechtwinkligen Dreiecks,a in order to develop effective understandings of the concepts of zero-divisors and the zero-product property (ZPP) in abstract algebra. A critical step in the learning trajectory involved the outright rejection of the legitimacy of zero-divisors as counterexamples to the ZPP, an activity known as m

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Berechnung des rechtwinkligen Dreiecks,culum and helpful in building a coherent approach to school mathematics. We consider the case of quadratic equations, a topic which was once a topic of the abstract algebra of its day but whose place in the secondary curriculum is sometimes now questioned. We then consider the influence of the highe

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https://doi.org/10.1007/978-3-662-38242-4cs, aimed at conceptual coherence. It centrally features the real number line, with its geometric and arithmetic structures. It starts with linear measurement, expressed through division with remainder (.), which leads directly to place value and modular congruence. Abstract algebra enters through t

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Berechnung des rechtwinkligen Dreiecks,ctitioner and research-based viewpoints of their interrelated themes and implications for curriculum, research, and faculty professional development. In the context of making mathematical connections between abstract algebra and secondary mathematics explicit, this commentary reflects on the learnin

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