Creative Explorations in Mathematics

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United States - Massachusetts - Somerville
Creative Explorations in Mathematics
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Mini-research projects allow students to taste the joy of being a research mathematician
 
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Regular patterns in the units digit of sets of numbers generated by some simple rule afford a great opportunity for students to exercise their research skills in pure mathematics, and get a taste of what it feels like to be a research mathematician.
Subjects:
Arithmetic, Numbers, Other (Math)
Grades:
Not Grade Specific
Types:
Activities, Fun Stuff, Minilessons
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TEACHING EXPERIENCE

I have taught as a volunteer at the MIT High School Studies Program since 1971. My courses include math, physics, Learning German thru German Poetry, playreading, and the Japanese Kanji. All courses are enrichment material of my own design. My math courses range from recreational math, such as mathematical games, to intuitive introductions to such college math subjects as topology, polyhedra, foundations of geometry, non-Euclidean geometry, the nature of infinity, and the Fibonacci sequence. I also tutor adult physics fans in subjects such as orbital mechanics, quantum mechanics and relativity.

MY TEACHING STYLE

Raise fascinating issues, and let the students do as much of the work as possible (Socratic method).

HONORS/AWARDS/SHINING TEACHER MOMENT

Woodrow Wilson Fellowship

MY OWN EDUCATIONAL HISTORY

B.Sc. in Math, McGill University, 1965; MA in psychology, Brandeis, 1970

ADDITIONAL BIOGRAPHICAL INFORMATION

As an independent scholar, I have published papers in mathematics, artificial intelligence, and linguistics (a field in which I am self-taught). I am a member of ASLIP, the Association for the Study of Language in Prehistory. I am writing an article on my method of learning the Japanese Kanji. I have also published two of my translations of Hermann Hesse's poems from German.

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