Dr. April Strom Scottsdale Community College Dr. Ted Coe Grand Canyon University Dr. Trey Cox Chandler-Gilbert Community College NCTM Las Vegas 10-24-13.

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Presentation transcript:

Dr. April Strom Scottsdale Community College Dr. Ted Coe Grand Canyon University Dr. Trey Cox Chandler-Gilbert Community College NCTM Las Vegas This work was supported in part by MSP grant # through the National Science Foundation. Opinions expressed are those of the authors and not necessarily those of the NSF.

Number/Operations Geometry Problem Solving Year 1 Probability/Stats Patterns/Functions Problem Solving Year 2 Leadership Year 3 Institutes/Workshops In Years 1 & 2… Summer Institute I & II (1 week each) Saturday Workshops (4 each year) CCOLs In Year 3… Leadership Institute (1 week) Facilitate CCOLs

You have three broomsticks: The RED broomstick is 3 feet long The YELLOW broomstick is 4 feet long The GREEN broomstick is 6 feet long

LEARNING TRAJECTORIES IN MATHEMATICS: A Foundation for Standards, Curriculum, Assessment, and Instruction, pp48-49.

What do we mean when we talk about “measurement”?

Van de Walle (2001) Elementary and Middle School Mathematics: Teaching Developmentally, 4 th ed.

From Fractions and Multiplicative Reasoning, Thompson and Saldanha, (pdf p. 22)

The circumference is about how many times as large as the diameter? The diameter is about how many times as large as the circumference?

/circumference

CCSS Grade 4 p. 31

/radius-unwrapper

A measure of the area of whole square is 4r^2 A measure of the area of red square is 2r^2 A measure of the area of circle is…

pythagorean-and-similar-triangles

constant-rate

/similar-triangles