# Math Department 2014-2015 - PowerPoint PPT Presentation

1 / 8

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

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Math Department 2014-2015

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

## 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

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

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