Mathematical Proofs Middle School Mathematics Term Paper

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As Kleiner & Movo*****z-Hadar show, the burden of proof lies with the mathematician eager to uncover some unknown universal law or theorem. His or her colleagues will, as the authors point out, be harangued and criticized because of a general resistance to new ways of thinking or profound revelations. Because of the difficulty in obtaining proof and subsequently communicating those proofs to the academic community, math remains one of the last bastions of reason in our society. Mathematics stimulates analysis and critical thinking, essential components of a good life. Philosophers use proofs too, such as to illustrate the existence or non-existence of God. Perhaps the most salient issue brought out by Kleiner & Movo*****z-Hadar in their article and the one most relevant to modern classrooms is their celebration of diversity of thought.

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While mathematics may occasionally manifest as speculation or even intuition, ultimately mathematicians demand proof: evidence, firmness, and rigorous standards. In a world in which "fuzzy math" and unreal "reality TV" have taken over the public consciousness, proof might be our last hope.

Reference

Kleiner, Israel & Movo*****z-Hadar, Nitsa. "Proof: A Many-Splendored Thing." The Mathematical Intelligencer. 1997. 19(3)......

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