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Pittsburgh, Pennsylvania March 18, 2014

2014 COABE PAACE Conference. Making Algebra More Meaningful: A Hands-On Workshop for Exploring Algebraic Reasoning and Graphing. Pittsburgh, Pennsylvania March 18, 2014. Presenter. Rebecca Strom Math Instructor, ABE /College-Prep Mankato Area Adult Basic Education Mankato, MN

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Pittsburgh, Pennsylvania March 18, 2014

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  1. 2014 COABE PAACE Conference Making Algebra More Meaningful: A Hands-On Workshop for Exploring Algebraic Reasoning and Graphing Pittsburgh, Pennsylvania March 18, 2014

  2. Presenter Rebecca Strom Math Instructor, ABE/College-Prep Mankato AreaAdult Basic Education Mankato, MN MN Numeracy Initiative Project Lead- since 2013 Advisory Team member – since 2011rstrom1@isd77.k12.mn.usRebecca.L.Strom@gmail.com

  3. Objectives You will… be introduced to the Components of Numeracy and be given related resources for additional reading and professional development. explore conceptual understandingof operations and algebraic thinking explore graphing linear equations through hands-on activities.

  4. Definition of Numeracy The type of math skills needed to function in everyday life, in the home, workplace and community. (-Sandra Kerka)

  5. Three Components of Numeracy -Adapted from The Components of Numeracy,by Ginsburg, Manly and Schmitt Context Content Cognitive and Affective

  6. Conceptual Understanding “A rich understanding of the mathematical ideas or concepts involved so as to be able to make sense of the problem”. (Ginsburg, Manly, and Schmitt)

  7. The Levels of Knowing Math~Mahesh Sharma Intuitive Concrete Pictorial Abstract Application Communication

  8. 6 Levels of knowing Math Components of numeracy Definition of numeracy Conceptual look at the basic operations Explore Algebraic Thinking Activity Number lines Examine Cartesian Coordinate System Graph Ordered Pairs Briefly Explore a Linear Equation

  9. A conceptual approach to Basic operations: • Four operations • Addition • Subtraction • Multiplication • Division

  10. 10 • Can be “completely open”- endless possibilities • Great review of operations • Shows understanding of number • Used over time, students challenge themselves to expand their thinking • Can be “directed” Number of the day

  11. What does Algebra look like? 3 + = 10 3 + ?= 10 3 + x = 10 I have $10. The pencils are $3.00. How much more can I spend?

  12. In basic mathematics, a number line is a picture of a straight line on which every point is assumed to correspond to a real number and every real number to a point. (Wikipedia.org) What is a Number line?

  13. Find the solution, and graph: x + 3 = 10 -3 -3 x = 7

  14. How does that differ with ordered pairs and a coordinate graph? • An ordered pairs represents a pair of numbers that work together for a solution. Find two numbers, so that when you add them you get ten. x + y = 10

  15. Old “T-chart” More Conceptual “T-chart”

  16. Sharma’s “Intuitive Level”

  17. SLOPE: A. B. D. C.

  18. How does Slope look? A C B D

  19. Thank you! Minnesota Numeracy Initiative www.atlasabe.org/professional/math-and-numeracy ProLiteracy / World Education http://elearning.worlded.org

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