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"Mathematics is the queen of the sciences ..." Carl Friedrich Gauss (1777-1855)
"It is by logic that we prove but by intuition that we discover." (Henri Poincaré)
"... pedagogy is what our species does best. We are teachers, and we want to teach while sitting around the campfire rather than being continually present during our offspring's trial-and-error experiences." Michael S. Gazzaniga (1998, p 8) Gazzaniga, Michael S. (1998). The minds past. University of California Press; Berkley.
"Mathematics is one of humanity's great achievements. By enhancing the capabilities of the human mind,mathematics has facilitated the development of science, technology,engineering,business, and government." Kilpatrick, Swafford, and Findell (2001)
"For example, I've been in enough high school math
classes over the last five years to know that there is no
developmental theory of how students learn algebra. The kids
who don't make it and don't respond to the kind of
instruction they're receiving are simply not included in the
instructional model. And teachers in the classrooms I've
observed take no responsibility for the lowest-performing
students. That's because the prevailing a theory of learning
suggests that teaching mathematics is not a developmental
problem but a problem of aptitude. Some people get it, some
don't." Elmore, Richard F. (2002). The Limits of Change
[Online]. Accessed 2/18/02: http://www.edletter.org/current/
limitsofchange.shtml
"Meetings are indispensable when you don't want to do anything." (John Kenneth Galbraith)
You can never step into the same stream twice. Heraclitus
"I do believe that problems are the heart of mathematics, and I hope that as teachers, in the classroom, in seminars, and in the books and articles we write, we will emphasize them more and more, and that we will train our students to be better problem-posers and problem solvers than we are." (Halmos, 1980, p. 524)
Richard Bellman (1978) . An introduction to Artificial Intelligence: Can computers think? San Francisco: Boyd & Fraser. Page 67
There is nothing good or bad, but thinking makes it so. Shakespeare (Hamlet)