2006 What is Foundational Level Mathematics presentation

# 2006 What is Foundational Level Mathematics presentation -...

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Unformatted text preview: 4 1 0011 0010 1010 1101 0001 0100 1011 1 What Does It Mean to Teach Foundational-Level Mathematics? Teaching Tomorrow’s Students Conference April 15, 2006 Mark W. Ellis, Ph.D. California State University, Fullerton [email protected] 2 Warm Up Problem – Try This! Shade in six (6) squares in the given rectangle. Using the figure, determine the percent of the area that is shaded in at least two ways . Your reasoning should make sense in relation to the figure, not simply consist of numerical calculations! Discuss with a partner the strategies you used and why they work. Relate your strategies to the figure. Source: Stein, Smith, Henningsen, & Silver (2000). Implementing Standards-Based Mathematics Instruction . New York: Teachers College Press 3 Sample Responses Since there are 10 rows, each row is 10%. 6 squares give me 1 ½ rows, so that is 10% + 5% = 15%. Take away the bottom row – that’s 10%. The remaining 90% can be cut into 6 congruent rectangles like the shaded one. So, six squares is 90/6 = 15%. There are 40 squares in the original. I know percent is out of 100, so I can add 40 more squares then 20 more squares to get 100. Since 40 * 2 ½ is 100, then 6 * 2 ½ = 15%. 4 1 0011 0010 1010 1101 0001 0100 1011 4 Why the FLM Credential? • Created by CA in 2003. • NCLB compliance, especially middle grades. • Aimed at those with a strong mathematics background but not necessarily a math major. • “Foundational-Level Mathematics” connotes the idea that content preceding algebra and continuing through geometry forms the foundation for higher level coursework in mathematics.level coursework in mathematics....
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2006 What is Foundational Level Mathematics presentation -...

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