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Learning and Teaching Number Theory - Research in Cognition and Instruction (Hardcover)
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Learning and Teaching Number Theory - Research in Cognition and Instruction (Hardcover)
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Number theory has been a perennial topic of inspiration and
importance throughout the history of philosophy and mathematics.
Despite this fact, surprisingly little attention has been given to
research in learning and teaching number theory per se. This volume
is an attempt to redress this matter and to serve as a launch point
for further research in this area. Drawing on work from an
international group of researchers in mathematics education, this
volume is a collection of clinical and classroom-based studies in
cognition and instruction on learning and teaching number theory.
Although there are differences in emphases in theory, method, and
focus area, these studies are bound through similar constructivist
orientations and qualitative approaches toward research into
undergraduate students' and preservice teachers' subject content
and pedagogical content knowledge. Collectively, these studies draw
on a variety of cognitive, linguistic, and pedagogical frameworks
that focus on various approaches to problem solving, communicating,
representing, connecting, and reasoning with topics of elementary
number theory, and these in turn have practical implications for
the classroom. Learning styles and teaching strategies investigated
involve number theoretical vocabulary, concepts, procedures, and
proof strategies ranging from divisors, multiples, and divisibility
rules, to various theorems involving division, factorization,
partitions, and mathematical induction.
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