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This paper poses and answers 20 questions about mathematical reasoning. Questions include: (1) Is mathematical reasoning mathematical? (2) Is mathematical reasoning useful? (3) Is mathematical reasoning an appropriate goal of school mathematics? (4) Can teachers teach mathematical reasoning? (5) Can mathematical reasoning be taught? (6) Do skills lead to understanding? (7) Can drills help develop mathematical reasoning? (8) Is proof essential to mathematics? (9) Does learning proofs enhance mathematical reasoning? (10) Does math anxiety prevent mathematical reasoning? (11) Do cooperative activities enhance individual understanding? (12) Can calculators and computers increase mathematical reasoning? (13) Why do so many student feel that mathematics is a foreign culture? (14) Is context essential for mathematical reasoning? (15) Must students really construct their own knowledge? (16) How many mathematics are there? (17) How does our brain do mathematics? (18) Is our brain like a computer? (19) Is the capacity for mathematics innate? and (20) Is school too late? (Contains 55 references.) (ASK)

Descriptors: Abstract Reasoning, Cooperative Learning, Educational Technology, Elementary Secondary Education, Mathematics Education, Proof (Mathematics), Teaching Methods, Thinking Skills

Autor: Steen, Lynn Arthur


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