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Problems for CAS Solution

Problems for CAS Solution. Lin McMullin TTT & USACAS Conference 2013. Cubic Symmetry. Show that any cubic polynomial has a point of rotational symmetry. Roots of a Cubic. A Cubic Problem. A Cubic Problem. Trigonometry. SSS triangle. Trigonometry. SSA triangle.

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Problems for CAS Solution

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  1. Problems for CAS Solution Lin McMullin TTT & USACAS Conference 2013

  2. Cubic Symmetry Show that any cubic polynomial has a point of rotational symmetry.

  3. Roots of a Cubic

  4. A Cubic Problem

  5. A Cubic Problem

  6. Trigonometry SSS triangle.

  7. Trigonometry SSA triangle. This approach can be used for SAS as well.

  8. Trigonometry ASA triangle.

  9. Lin McMullin’s Theorem

  10. How is DOING Math Different with a CAS? • The CAS does the algemetic so we can concentrate on the mathematics. • You can improve the CAS by adding your own operations and routines. • New approaches are possible once you stop worrying about the algemetic. • “Go for the equation.” • Complicating can make the work go faster. • One still needs to know mathematics.

  11. Implications for teaching Good CAS use is a new skill, a new tool that students must be taught and encouraged to learn. To do this we need • A willingness to accept new ways of doing problems • A new style of showing work • A change in how we think about “simplifying” • A good source of better problems for students to attempt

  12. DOING Math with a CAS The text of this presentation along with the slides, examples and solutions are available at www.LinMcMullin.net Click on “CAS”

  13. DOING Math with a CAS Lin McMullin USACAS Conference 2013

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