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(more than 100 publications in reviewed journals)
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*Noncommutative algebra and discrete mathematics
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(more than 100 publications in reviewed journals)
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*Stoffdidaktik (didactics of teaching materials) and problem solving activities, e.g., the representation mode of problems
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*Discrete mathematics, algebra, optimization theory; cooperation projects with e.g. Thyssen- Krupp Steel
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*CPD viewed from an international perspective
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*Knowledge representation and electronic publishing; cooperation with libraries; electronic dis- sertations and thesis-initiative (EDT)
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*belief theory
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*Mathematics education: content matter knowledge (calculus, linear algebra); problem solving; mathematical beliefs and their influence on teaching and learning; epistemological cognition