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Ar presentation

  1. 1. How to get students to think independently and criticallyPresented by: Carri CarverWoodward AcademyMathematicsTeacher
  2. 2.  Fall semester Take-home test 1 real worldapplication problem 2 of 14 students hadsome success withreal world problem “Why can’t they doANYTHING bythemselves?”A, 1B, 1C, 1D, 5F, 6Take-homeTest Grades
  3. 3. How can I help my Precalculus studentsbecome better: At solving real-world problems they havenever seen before? At figuring things out for themselves?
  4. 4. 1. Opportunities for problem solving Problem solving tasks2. Strategies to improve problem solving ability Growth mindset Work Habits rubric (Habits of Mind Institute)3. Assessment Reforms 4.0 rubric (Marzano) Formative scores lead to summative grade (Marzano)
  5. 5. Level Description2.0 / C Routine calculations, utilization of equations, solving equations.3.0 / B Deriving equations, mathematical modeling.4.0 / A+ Analyzing results, evaluating appropriateness of solutions.
  6. 6.  Pre-Survey & Introduction Task 1: Growth and Decay Task 2: Coffee Cooling Task 3: Case of the Cooling Corpse Corrections toTasks 2-3 FinalTask: Choice of 3 Rice on a Chessboard, Lillies on a Pond, orThe Big Melt Post-Survey and Open-ended Survey
  7. 7. A, 5B, 6C, 3OverallTask GradesApril 2013A, 1B, 1C, 1D, 5F, 6Take-homeTest GradesFall 2012
  8. 8. Final grade assigned bylooking at best twoformative scoresFinal average
  9. 9. FromTasks1-3ToFinalTasks4&5Improve-mentstatisticallysignificant?p-valueFromTask 1ToTask 4NoFromTask 1ToTask 5Yes p=.05FromTask 2ToTask 4NoFromTask 2ToTask 5NoFromTask 3ToTask 4Yes p=.003FromTask 3ToTask 5Yes p=.002FormativeScoreTask number Not a strong positive correlation. Not statistically significant.
  10. 10. 663-5-22-4-22-3-18-44Growth mindsetAttitudes toward MathNegativeAffectsPostive AffectsIndependenceNumber ofanswersimprovingNumber ofanswersregressingNet gainor loss
  11. 11.  Different rubric Scaffolding System for providing hints Checking student work in progress Growth Mindset Executive control and metacognition
  12. 12.  Food for thought…

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