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Full-Text Articles in Education
Guidelines For Good Mathematical Writing, Francis Su
Guidelines For Good Mathematical Writing, Francis Su
All HMC Faculty Publications and Research
Communicating mathematics well is an important part of doing mathematics. Many of us know from writing papers or giving talks that communicating effectively not only serves our audience but also clarifies and structures our own thinking. There is an art and elegance to good writing that every writer should strive for. And writing, as a work of art, can bring a person great personal satisfaction.
Within the MAA, we value exposition and mathematical communication. In this column, I’m sharing the advice I give my students to help them write well. There are more extensive treatments (e.g., see Paul Halmos’s How …
Dnr-Based Curricula: The Case Of Complex Numbers, Guershon Harel
Dnr-Based Curricula: The Case Of Complex Numbers, Guershon Harel
Journal of Humanistic Mathematics
DNR is a research-based framework which seeks to understand fundamental problems of mathematics learning and teaching. This paper discusses DNR with a particular reference to a curricular unit on complex numbers. Originally designed for college-bound high school students, the unit is structured to progress along a path that roughly parallels the development of complex numbers in the history of mathematics. We have tested the unit in three teaching experiments with inservice and prospective secondary mathematics teachers. The results from these experiments demonstrate the ways of thinking afforded and targeted by the unit. The correspondence between these ways of thinking and …