Israel Gelfand's stuff is model for enrichment at an upper level. Alexander Zvonkin's "Math from 3 to 7" book published by MSRI could be a model for younger kids.
I think the "new math"materials for the '60s and '70s and the Eastern European materials from a similar period provide a model for education. Unfortunately, they require mathy folks to present and interpret the material.
PS. I'm not criticizing public school teachers. I also feel inadequate. In order to teach DS7, I feel like I should probably work through Herstein's Abstract Algebra. I'll put it on the list... Currently I'm working through Euclid... Next Fall our homeschool will have a geometric focus... after that... who knows.
[1] See http://gcpm.rutgers.edu/books.html ... this was a pale imitation of what Soviet era math circles would offer but is still way beyond anything extant.
Israel Gelfand's stuff is model for enrichment at an upper level. Alexander Zvonkin's "Math from 3 to 7" book published by MSRI could be a model for younger kids.
I think the "new math"materials for the '60s and '70s and the Eastern European materials from a similar period provide a model for education. Unfortunately, they require mathy folks to present and interpret the material.
PS. I'm not criticizing public school teachers. I also feel inadequate. In order to teach DS7, I feel like I should probably work through Herstein's Abstract Algebra. I'll put it on the list... Currently I'm working through Euclid... Next Fall our homeschool will have a geometric focus... after that... who knows.
[1] See http://gcpm.rutgers.edu/books.html ... this was a pale imitation of what Soviet era math circles would offer but is still way beyond anything extant.