New stubs New Math and mathematics education.

]]>I have spent few hours to split off the entry elementary mathematics from mathematics education. Books about elementary mathematics (as well as introductions into the foundations of mathematics) are books about a particular mathematical subject (“content”) rather than about education or mathematical didactics. In particular, the books on elementary geometry can be now found in elementary mathematics. I hope this division will be useful for further development, while my choices in the distribution are not meant to be final (in particular, more refinements needed).

]]>Page about the major free software platform for graphing geometrical pictures for usage in mathematics education, geogebra. It has also some packets fro statistics and other fields.

]]>Urs is often expressing his optimism that in 2050 high schoolers will have easy time understaning cohesive infinity topoi.

I learned today that in practically all western curricula there is now no notions of sets and naive set theory in elementary (K-8) education and even very little in high schools. When I was kid we had tools like threads and buttons of various shape and color to play with Venn diagram-like situations interactively in the first grade elementary school. Now 8th graders do not know what say the intersection of sets is good for. This has some good reasons in failure of “New Math” in US and Bourbaki-influenced education in Europe in 1960s and 1970s; the failure had many reasons, not only unsuited programs, but for example unsuited teacher’s education at the time and hasty abandoning of some of the achievements of the previous periods.

I am interested what people know and what people think of these matters. Are really the most basic set concepts unsuitable for kids, when to introduce them eventually, what are good alternatives and so on. Unlike commonly thought, in Soviet Union set concepts were introduced in late classes in school programs, but math was strong in other ways (numerous problems and exercises without fancy inessential whistles) while the rigor of writing was less emphasized than say in France (where the sets are also long since abandoned in schools).

P.S. I changed the thread into Mathematics, Physics and Philosophy. I added the nforum tag education (and created the nLab entry mathematics education and category education).

]]>