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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

Math Department 2014-2015

Geometry: Inductive or Deductive?


Freshman year
Freshman Year

  • Ordering Chaos ( elective )

  • Geometry ( mandatory )

    by induction OR by deduction


Deduction
DEDUCTION

• The Abstract precedes the Concrete

• From Theory to Practice

• Deductive Reasoning (start with rules, then figure out the world under those rules)


Induction
INDUCTION

• The Concrete precedes the Abstract

• From Practice to Theory

• Inductive Reasoning (start with world, then figure out what rules govern it)


Deduction induction
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



NO !

same material will be covered but

  • different order

  • different text book

  • different teaching style


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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