• Journal of the Korean School Mathematics Society
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• v.8 no.1
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• pp.101-116
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• 2005

The purpose of this study is to survey mathematics teacher's cognition of proof along with their proof forms of expression and proof ability, and to explore the relationship between their proof scheme and teaching practice. This study shows that mathematics teachers tend to regard proof as a deduction from assumption to conclusion and that they prefer formal proof with mathematical symbols. Mathematics teachers also recognize that prof is an important area in school mathematics but they reveal poor understanding of teaching methods of proof. Teachers tend to depend on the proof style employed in mathematics textbooks. This study demonstrates that a proof scheme is a major factor of determining the teaching method of proof.

• Smart Media Journal
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• v.3 no.3
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• pp.36-45
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• 2014

Based on the perception of Maurice Merleau Ponty, This study defines that Moving is a form lively to experience meaning, pleasure as the aesthetic attribute structured to a product, expression and value are synthesized into. The purpose of study is to argue that Wearable, Ubiquitous, Interaction, Play, D, I, Y, Universal, Ecology are the forms, modalities that the moving is variously subjected to the product design. Above This is the result reasoned according to analogical form as below between the moving and all design forms. First, The moving as the aesthetic expression and value are synthesized into is the intrinsic, general proposition, maxim for the value judgement. Second, All design forms are the cases which the values based on the aesthetic expression system are subjected to Third, Thus All design forms are the modalities of the aesthetic expression based on the values. The certainty of this judgement, reasoning is the proof that the correspondence between the moving as the aesthetic expression and design form is the fact. That is to say, It is the proof that Users lively experience the aesthetic meaning, pleasure in fact as the aesthetic values are subjected to all design forms. The lived experience of each user in their daily life itself is the only method or assurance for this. The moving integrates the existence of a product and what should be of users into the aesthetic dimension and at the same time, is realized based on this. The emphasized theme in all cases of this study is not the product but the moving. So, The product design is changed into the action which structures the moving like above to a product.