• Journal of the Korea Academia-Industrial cooperation Society
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• v.18 no.9
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• pp.290-301
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• 2017

This research aimed to develop problem creating worksheets as a teaching & learning material for problem solving activities and assess its effectiveness. Activity worksheets for creative problem development were established. The effectiveness of the problem-creating classes taught to gifted students in invention was evaluated. In addition, effective strategies for encouraging problem creating and question making in teaching & learning processes were explored. The creative problem identification activity consisted of 5 steps, which are idea creation, convergence, execution, and evaluation. The results showed that elementary and middle school students taught in the classes using this problem-identification worksheet were highly satisfied with the program. This study concluded that it requires an educational environment, government level collaboration, and support to create a mature social atmosphere and educational environment motivating students to keep asking questions and identify problems. Through continual modification, additional ongoing efforts to increase the credibility and the quality of the worksheets as a creative problem solving and learning tool will be needed.

• School Mathematics
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• v.5 no.4
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• pp.521-540
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• 2003

The processes of mathematics development and the results of it are always those of making a conquest of the circumscription by historical inevitability within the historical circumscription. It is in this article that I try to show this processes through the history of calculus. This article develops on the basis of the dialectical materialism. It views the change and development as the facts that take place not by individual subjective judgments but by social-historical material conditions as the first conditions. The dialectical materialism is appropriate for explaining calculus treated in full-scale during the 17th century, passing over ahistorical vacuum after Archimedes about B.C. 4th century. It is also appropriate for explaining such facts as frequent simultaneous discoveries observed in the process of the development of calculus. 1 try to show that mathematics is social-historical products, neither the development of the logically formal symbols nor the invention by subjectivity. By this, I hope to furnish philosophical bases on the discussion that mathematics teaching-learning must start from the real world.