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Unformatted text preview: 4 1 0011 0010 1010 1101 0001 0100 1011 1 What Does It Mean to Teach FoundationalLevel Mathematics? Teaching Tomorrows Students Conference April 15, 2006 Mark W. Ellis, Ph.D. California State University, Fullerton mellis@fullerton.edu 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 StandardsBased Mathematics Instruction . New York: Teachers College Press 3 Sample Responses Since there are 10 rows, each row is 10%. 6 squares give me 1 rows, so that is 10% + 5% = 15%. Take away the bottom row thats 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 is 100, then 6 * 2 = 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. FoundationalLevel 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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 Winter '08
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 Math

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