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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 - PowerPoint PPT Presentation
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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
• 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