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gyula-educ - Trends in Mathematics: How could they Change...

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1 Trends in Mathematics: How could they Change Education? László Lovász Eötvös Loránd University Budapest
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2 General trends in mathematical activity The size of the community and of mathematical research activity increases exponentially. New areas of application, and their increasing significance. New tools: computers and information technology. New forms of mathematical activity.
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3 Size of the community and of research Mathematical literature doubles in every 25 years Impossible to keep up with new results: need of more efficient cooperation and better dissemination of new ideas. Larger and larger part of mathematical activity must be devoted to communication (conferences with expository talks only, survey volumes, internet encyclopedias, multiple authors of research papers. ..)
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4 Size of the community and of research Challenges in education: Difficult to identify ``core'' mathematics Two extreme solutions: - New results, theories, methods belong to Masters/PhD programs - Leave out those areas that are not in the center of math research today
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5 Size of the community and of research Challenges in education: Difficult to identify ``core'' mathematics Focus on mathematical competencies (problem solving, abstraction, generalization and specialization, logical reasoning, mathematical formalism)
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Size of the community and of research Challenges in education: Exposition style mathematics in education: teach students to explain mathematics to “outsiders” and to each other, to summarize results and methods,. .. teach some mathematical material
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gyula-educ - Trends in Mathematics: How could they Change...

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