Holes and Goals for my Teaching

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For my graduate program at St. Mary's College of Maryland, I had to find gaps in my mathematics content knowledge and create assessments for myself that would help to fill them. These assignments are summarized in my presentation

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Holes and Goals for my Teaching

  1. 1. Holes and Goals <ul><li>Linear Algebra </li></ul><ul><li>Basic Statistics </li></ul><ul><li>Basic Probability Rules </li></ul>
  2. 2. Holes to be Filled <ul><li>Essential questions: </li></ul><ul><ul><li>How do you find the probability of simple and complex events involving dependent and independent events? </li></ul></ul><ul><ul><li>How do matrices relate to linear functions? </li></ul></ul><ul><ul><li>How has the importance of using data changed over time? </li></ul></ul>
  3. 3. Goals to be Reached <ul><li>Brent will understand... </li></ul><ul><ul><ul><li>That matrices can be used to solve multivariable linear systems </li></ul></ul></ul><ul><ul><ul><li>The ways one can misinterpret a set of data </li></ul></ul></ul><ul><ul><ul><li>How to design and analyze a probability experiment </li></ul></ul></ul>
  4. 4. Products <ul><li>For Linear Algebra – I contributed (with fellow mathematicians David Yost and Katie Bartz) to an online wiki resource page </li></ul><ul><li>For Statistics – I conducted an analysis of Fantasy Football stats for Ravens QB Joe Flacco and top fantasy point QB Philip Rivers </li></ul><ul><li>For Probability – I wrote a song about probability </li></ul>
  5. 5. #1: Wiki Resource Site <ul><li>http://smcmmathholes.pbworks.com </li></ul><ul><li>Purpose: online resource to be used now and in the future; can also be built upon </li></ul><ul><li>Sample page: Vectors </li></ul>
  6. 6. #2 Fantasy Football Stats <ul><li>ESPN.com passing stats 2010 for Joe Flacco (Ravens) and Philip Rivers (Chargers) </li></ul><ul><li>Created charts, graph displays </li></ul><ul><li>Analyzed implications of results </li></ul><ul><li>Click here for product </li></ul>
  7. 7. #3 Probability Song <ul><li>Song about basic concepts in probability </li></ul><ul><li>Guitar and lyrics </li></ul><ul><li>Products like this can be used in my future classrooms for educational entertainment; to 'change things up a bit' </li></ul>
  8. 8. Favorite Sources <ul><li>Praxis Practice Book </li></ul><ul><li>Youtube user khanacademy </li></ul>
  9. 9. Reflections <ul><li>It was enlightening to see how much I really do not know about math concepts learned in early grades. </li></ul><ul><li>My products aligned perfectly with helping me practice for the praxis. </li></ul><ul><li>Confidence boost </li></ul>

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