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“…even if they're very abstract, can appear to be almost visual, intuitive"

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“…even if they're very abstract, can appear to be almost visual, intuitive". Music = other art form related to music. “…mathematical relationships between…frequency [and] notes”. Both have constants and variables. Other testing format. Art provides other testing format. - PowerPoint PPT Presentation
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Page 1: “…even if they're very abstract, can appear to be almost visual, intuitive"

• “…even if they're very abstract, can appear to be almost visual, intuitive"

Page 2: “…even if they're very abstract, can appear to be almost visual, intuitive"

Music = other art form related to music

Page 3: “…even if they're very abstract, can appear to be almost visual, intuitive"

“…mathematical relationships between…frequency [and] notes”

Page 4: “…even if they're very abstract, can appear to be almost visual, intuitive"

Both have constants

and variables

Page 5: “…even if they're very abstract, can appear to be almost visual, intuitive"

Art provides other testing formatOther testing format

Page 6: “…even if they're very abstract, can appear to be almost visual, intuitive"

Ex: Designing a geometric theme park

Page 7: “…even if they're very abstract, can appear to be almost visual, intuitive"

Introduce CPMP

Page 8: “…even if they're very abstract, can appear to be almost visual, intuitive"

• f

Four Courses

that increase in difficulty

Page 9: “…even if they're very abstract, can appear to be almost visual, intuitive"

• f

Courses1-3: Algebra – Pre-Calc

Page 10: “…even if they're very abstract, can appear to be almost visual, intuitive"

Course 4: More detail

+ Calculus

Page 11: “…even if they're very abstract, can appear to be almost visual, intuitive"

“CPMP [students]…more positively disposed toward mathematics…”

Page 12: “…even if they're very abstract, can appear to be almost visual, intuitive"

CPMP builds stronger understanding

Page 13: “…even if they're very abstract, can appear to be almost visual, intuitive"

Increasedinterest in math

Page 14: “…even if they're very abstract, can appear to be almost visual, intuitive"

CPMP incorporates Realistic Math Education

Page 15: “…even if they're very abstract, can appear to be almost visual, intuitive"

RME takes advantage of one carefully chosen problem

Page 16: “…even if they're very abstract, can appear to be almost visual, intuitive"

Develop math skills while

solving

Page 17: “…even if they're very abstract, can appear to be almost visual, intuitive"

Teaches “Guided

Reinvention

Page 18: “…even if they're very abstract, can appear to be almost visual, intuitive"

Guided Reinvention – encouraging student’s own methods for solving math

Page 19: “…even if they're very abstract, can appear to be almost visual, intuitive"

CPMP is cooperative

Page 20: “…even if they're very abstract, can appear to be almost visual, intuitive"

Group work encouraged

help…

Page 21: “…even if they're very abstract, can appear to be almost visual, intuitive"

…and allowed student to see others tackle problems

Page 22: “…even if they're very abstract, can appear to be almost visual, intuitive"

“…because of CPMP…took third year of math”

Page 23: “…even if they're very abstract, can appear to be almost visual, intuitive"

What do the opponents say?

Page 24: “…even if they're very abstract, can appear to be almost visual, intuitive"

• Why change what is working?

Page 25: “…even if they're very abstract, can appear to be almost visual, intuitive"

Comfortable with current curriculum

Page 26: “…even if they're very abstract, can appear to be almost visual, intuitive"

Confidence in movement is

shaken

Page 27: “…even if they're very abstract, can appear to be almost visual, intuitive"

“Reincarnation of ‘new math’ movement”

Page 28: “…even if they're very abstract, can appear to be almost visual, intuitive"

Both stem from

societal discontent

Page 29: “…even if they're very abstract, can appear to be almost visual, intuitive"

Both added new content to K-12 curriculum

Page 30: “…even if they're very abstract, can appear to be almost visual, intuitive"

“New math” focused on set theory and rigorous proof (deductive reasoning

Page 31: “…even if they're very abstract, can appear to be almost visual, intuitive"

Current reform focuses on real-world application

through experimentation

Page 32: “…even if they're very abstract, can appear to be almost visual, intuitive"

“new math” failed

miserably

Page 33: “…even if they're very abstract, can appear to be almost visual, intuitive"

• What are the differences?

Page 34: “…even if they're very abstract, can appear to be almost visual, intuitive"

Pedagogy (art of teaching)

Page 35: “…even if they're very abstract, can appear to be almost visual, intuitive"

“New math” wanted students “actively participate in the construction of knowledge”

Page 36: “…even if they're very abstract, can appear to be almost visual, intuitive"

Our movement desires students discover their own, personal knowledge

Page 37: “…even if they're very abstract, can appear to be almost visual, intuitive"

These differences warrant a chance for

success!

Page 38: “…even if they're very abstract, can appear to be almost visual, intuitive"

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Page 40: “…even if they're very abstract, can appear to be almost visual, intuitive"

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Page 41: “…even if they're very abstract, can appear to be almost visual, intuitive"

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Page 42: “…even if they're very abstract, can appear to be almost visual, intuitive"

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Page 43: “…even if they're very abstract, can appear to be almost visual, intuitive"

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