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Felix Lensing – For the Learning of Mathematics, 2024
Research in mathematics education constantly oscillates between theoretical or 'Is' questions and practical or 'Ought' questions: Researchers are not only pursuing theoretical questions by investigating what those involved in the teaching and learning of mathematics do, but they are also working on practical recommendations for what they ought to…
Descriptors: Mathematics Education, Educational Research, Teaching Methods, Learning Processes
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Constantinos Xenofontos – For the Learning of Mathematics, 2025
Building on Umberto Eco's concept of Ur-Fascism, this essay examines how authoritarian traits permeate mathematics education. Through a reflective analysis of my prior research within the context of Cyprus, I discuss troubling patterns of centralised control, rigid traditions, and hierarchical structures shaping the educational landscape. These…
Descriptors: Foreign Countries, Mathematics Education, Authoritarianism, Misinformation
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Wasserman, Nicholas H. – For the Learning of Mathematics, 2022
Shulman (1986) conceptualized pedagogical content knowledge (PCK) at the intersection of content knowledge and pedagogical knowledge. In this paper, I re-explore the intersection of content--in our case, mathematics--and pedagogy, not in terms of domains of knowledge, but in terms of domains of practice. I conceptualize, describe, and exemplify…
Descriptors: Teaching Methods, Mathematics Instruction, Pedagogical Content Knowledge, Educational Practices