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Significant Changes in University Mathematics Education. (Eds.) : MINTUS: Beiträge zur mathematischen, naturwissenschaftlichen und technischen Bildung. Making Sense of Mathematical Thinking over the Long Term: The Framework of Three Worlds of Mathematics and New Developments. Building Long-term Meaning in Mathematical Thinking: Aha! and Uh-Huh! In Bronislaw Czarnocha and William Baker (Eds): Creativity of an Aha! Moment and Mathematics Education, pp. In Barbara Pieronkiewicz (Ed): Different Perspectives on Transgressions in Mathematics and its Education, pp.

Complementing supportive and problematic aspects of mathematics to resolve transgressions in long-term sense making.

The Articulation Principle for making long-term sense of mathematical expressions by how they are spoken and heard: Two case studies, The Mathematics Enthusiast: Vol. Items marked x are drafts still under development and may later beĬhin, Kin Eng Jiew, Fui Fong and Tall, David (2022a). Some papers listed below are also organised under themes or, where appropriate, with research students.Įarlier draft papers | Selected lectures | Curriculum Vitae Published papers are listed for any year with suffixes a, b, c. The downloads below include all my papers available in electronic form.

Download the last version for mac Ni Hao, Li Huan Ying