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

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

INDUCTION

• The Concrete precedes the Abstract

• From Practice to Theory

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

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

Is one of those sections more advanced than other ?

NO ! same material will be

covered but

●different order●different text book●different teaching style

Ordering Chaos

Geometry by Induction

Geometry by Deduction

Transition to Algebra 2

Algebra 2

Stem

Proofs

Re-ordering Chaos

Entrepreneurship

Prop Calculus Logic

Discrete Math

Trigonometry

Analytic Geo

Statistics

Elementary Functions

Imi

AP Calculus BC

AP Calculus AB

Beginning Calculus

OR