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Math Department 2014-2015

Math Department 2014-2015. Geometry: Inductive or Deductive?. Freshman Year. Ordering Chaos ( elective ) Geometry ( mandatory ) by induction OR by deduction. DEDUCTION. • The Abstract precedes the Concrete • From Theory to Practice

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Math Department 2014-2015

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  1. Math Department 2014-2015 Geometry: Inductive or Deductive?

  2. Freshman Year • Ordering Chaos ( elective ) • Geometry ( mandatory ) by induction OR by deduction

  3. DEDUCTION • The Abstract precedes the Concrete • From Theory to Practice • Deductive Reasoning (start with rules, then figure out the world under those rules)

  4. INDUCTION • The Concrete precedes the Abstract • From Practice to Theory • Inductive Reasoning (start with world, then figure out what rules govern it)

  5. Deduction Induction Abstract to Concrete Concrete to Abstract Theory to Practice Practice to Theory Start with the rules Start with world, then figure out then figure out the world under those rules what rules govern it Sherlock Holmes style Miss Marple style

  6. Is one of those sections more advanced than other ?

  7. NO ! same material will be covered but • different order • different text book • different teaching style

  8. Imi Beginning Calculus Stem Proofs Geometry by Induction Re-ordering Chaos AP Calculus AB Entrepreneurship Algebra 2 Transition to Algebra 2 OR Prop Calculus Logic Ordering Chaos Statistics Geometry by Deduction Discrete Math AP Calculus BC Trigonometry Analytic Geo Elementary Functions

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