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Using Technology to Uncover the Mathematics August 3-6, 2015

Using Technology to Uncover the Mathematics August 3-6, 2015. Dave Brown slides available at Professor, Ithaca College http ://faculty.ithaca.edu/dabrown/geneva/ dabrown@ithaca.edu. Build Your Own. Process for the Week (for deepening content knowledge) Overarching Goals

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Using Technology to Uncover the Mathematics August 3-6, 2015

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  1. Using Technology to Uncover the MathematicsAugust 3-6, 2015 Dave Brown slides available at Professor, Ithaca College http://faculty.ithaca.edu/dabrown/geneva/ dabrown@ithaca.edu

  2. Build Your Own Process for the Week (for deepening content knowledge) • Overarching Goals 1. Teach a variety of math software/technology to model and explore mathematics 2. Draw connections among a variety of content areas to highlight integrated nature of math 3. Central focus on various representations and aspects of functions

  3. Build Your Own Content Strands 1. Modeling with Data • Understand shape of data via context in modeling • Data collection • Use consecutive differences to identify polynomial functions • Use matrices to solve systems of equations arising in fitting polynomials • Learn regressions and justify their use

  4. Build Your Own Content Strands 2.Recursion • Modeling • Exponential Growth • Number theory identities

  5. Build Your Own Content Strands 3.Parametric Equations • Linear motion • Rates of change in modeling • Circular motion • Connection Cartesian (implicit) equations

  6. Build Your Own Content Strands 4.Geometry • Constructions and modeling • Connections with algebra

  7. Build Your Own What CCSSM Content Standards did we address this week?

  8. Standards for Mathematical Practice • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • Model with mathematics. • Use appropriate tools strategically. • Attend to precision. • Look for and make use of structure. • Look for and express regularity in repeated reasoning.

  9. Build Your Own • Decide on your big goal(s) • Content Standard • Practice Standard • What are the concepts you want students to learn? • How do want to use technology to facilitate learning? • What will the students take away from the lesson?

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