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Habits of Mind for Mathematics Teachers [High School Teachers] Martha Siegel Towson University, MD What is Mathematics?

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habits of mind for mathematics teachers

Habits of Mind for Mathematics Teachers

[High School Teachers]

Martha Siegel

Towson University, MD

what is mathematics
What is Mathematics?

Our graduates should understand the central role of mathematics in intellectual history: in science and technology, in commerce, in philosophy, in architecture and engineering, in medicine, agriculture, etc.

Our graduates should see mathematics as a vibrant and developing field full of new discoveries and applications.

what is mathematics3
What is Mathematics?

Graduates should understand the structure of mathematics: axioms, theorems, proof.

Graduates should understand abstraction, generalization, and the processes used in “doing” mathematics.

Graduates should be aware of the many ways of representation – numerical, algebraic, geometric, analytical.

what is mathematics4
What is Mathematics?
  • Our graduates should know basic logic – the nature of direct proof, indirect proof, proof by contradiction, counterexamples.
  • Our graduates should have some feel for the differences in discrete and continuous mathematics.
  • Our graduates should understand the proper role of technology in the classroom.
college level mathematics and the high school curriculum
College-level Mathematics and the High School Curriculum
  • Graduates should be able to relate topics in the high school curriculum to their college-level mathematical background and vice-versa.
  • Graduates should be well-informed of career opportunities and paths for mathematics graduates at the Bachelor’s, Master’s and Doctoral levels.
what s a mathematics teacher
What’s a Mathematics Teacher?
  • Our graduates should think of themselves as professionals by being -
  • aware of professional resources to help them develop new methods and materials,
  • active in local professional organizations,
  • able to develop their own materials and resources,
  • actively involved in their own learning.
and above all
And above all……
  • Teachers should LOVE the subject they teach so they communicate to students the joy of mathematics.
  • Teachers should LOVE mathematical puzzles, challenges, and problem solving.
  • Teachers should LOVE teaching!!!!