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Michael Duane Hicks – ProQuest LLC, 2021
Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…
Descriptors: Algebra, Mathematics Instruction, Learning Activities, Abstract Reasoning
Nurnberger-Haag, Julie – Research in Mathematics Education, 2018
Practicing teachers as well as researchers, mathematicians, and teacher educators have offered opinions and theoretical critiques of the multiple models used to teach integer arithmetic. Few studies, however, have investigated what students learn with models or empirically compared affordances and constraints of integer models. This led me to…
Descriptors: Subtraction, Mathematics Instruction, Teaching Methods, Criticism
Bofferding, Laura, Ed.; Wessman-Enzinger, Nicole, Ed. – Research in Mathematics Education, 2018
Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to…
Descriptors: Addition, Subtraction, Numeracy, Thinking Skills