Proofs And Refutations The Logic Of Mathematical Discovery

By D. Herrmann. 2016

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Citations in the corpus

Argumentation for Learning: Well-Trodden Paths and Unexplored Territories (2016, background): “A second reason for the increasing interest in argumentation is a reconceptualization of learning in core school disciplines, such as mathematics (e.g., Arzarello & Sabena, 2011; Lakatos, 1976; Schwarz, Hershkowitz, & Prusak, 2010), science (Berland & Hammer, 2012; Berland & Reiser, 2012; Driver, Ne”
The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks (2014, background): “In fact, we agree with Polya (1959, 1981) that empirical reasoning is central to the formulation of conjectures and with Lakatos (1976) that empirical reasoning is central to the refinement of definitions and theorems. skills, rather than to verify claims or develop mathematical understanding.”
The Culture of Exclusion in Mathematics Education and Its Persistence in Equity-Oriented Teaching (2017, background): “…Feb 2018 16:31:34 UTC All use subject to http://about.jstor.org/terms creativity that play prominent roles in the formal discipline of mathematics (Lakatos, 1976) and in calls for school mathematics reform (e.g., National Council of Teachers of Mathematics, 2000; National Governors Association…”
Equity Within Mathematics Education Research as a Political Act: Moving From Choice to Intentional Collective Professional Responsibility (2017, background): “Being able to engage in genuine equity work requires knowledge of a range of status quo views, such as Platonism, absolutism, social constructivism (e.g., Ernest, 1991), and quasi-empiricism (e.g., Lakatos, 1976).”