Download Learning and Teaching Number Theory: Research in Cognition by Stephen R. Campbell,Rina Zazkis PDF

By Stephen R. Campbell,Rina Zazkis

Number concept has been a perennial subject of thought and significance through the heritage of philosophy and arithmetic. regardless of this truth, unusually little consciousness has been given to analyze in studying and instructing quantity concept according to se. This quantity is an try and redress this topic and to function a release aspect for additional study during this zone. Drawing on paintings from a world workforce of researchers in arithmetic schooling, this quantity is a suite of scientific and classroom-based reviews in cognition and guideline on studying and instructing quantity thought. even supposing there are changes in emphases in thought, strategy, and concentration sector, those experiences are sure via comparable constructivist orientations and qualitative methods towards examine into undergraduate scholars' and preservice lecturers' topic content material and pedagogical content material knowledge.

Collectively, those experiences draw on numerous cognitive, linguistic, and pedagogical frameworks that concentrate on a number of methods to challenge fixing, speaking, representing, connecting, and reasoning with issues of undemanding quantity concept, and those in flip have useful implications for the school room. studying types and educating ideas investigated contain quantity theoretical vocabulary, ideas, systems, and evidence thoughts starting from divisors, multiples, and divisibility ideas, to numerous theorems concerning department, factorization, walls, and mathematical induction.

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