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Cultivating Mathematical Habits of Mind in All Students

Paul Goldenberg Mary Fries. Cultivating Mathematical Habits of Mind in All Students. Baltimore STEM Smart, March 22, 2013. Agenda. Introduction Supporting the Transition to Algebra Mathematical Habits of Mind Hands-on Experience with Classroom Materials Small-group Discussion

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Cultivating Mathematical Habits of Mind in All Students

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  1. Paul Goldenberg Mary Fries Cultivating Mathematical Habits of Mind in All Students • Baltimore STEM Smart, March 22, 2013

  2. Agenda • Introduction • Supporting the Transition to Algebra • Mathematical Habits of Mind • Hands-on Experience with Classroom Materials • Small-group Discussion • Group Sharing Cultivating Mathematical Habits of Mind in All Students

  3. Supporting the Transition to Algebra • TTA, a 4-year R&D project funded by NSF • Full-year intervention course to be taken concurrently with first-year algebra • Also used in other settings including summer school and middle school as pre-algebra • Related projects: Implementing the Mathematical Practice Standards and iPuzzle Cultivating Mathematical Habits of Mind in All Students

  4. Habits of Mind Approach • Quickly giving students the mathematical knowledge, skill, and confidence to succeed in a first-year algebra class • Focus on a few key mathematical ways of thinking or mathematical habits of mind • Important algebra topics are used as contexts for fostering these mathematical practices Cultivating Mathematical Habits of Mind in All Students

  5. Transition to Algebra Habits of Mind • Puzzling and Persevering • Seeking and Using Structure • Using Tools Strategically • Describing Repeated Reasoning • Communicating with Precision • Consistent with Common Core State Standards for Mathematical Practice Cultivating Mathematical Habits of Mind in All Students

  6. Why Puzzles? • Building career skills: problem solving when the solution method may not be known before starting; puzzles also allow for social collaboration in solving • Accessible logical thinking activities: puzzle difficulty can vary independently along two dimensions—prerequisite mathematical skill and cognitive demand Cultivating Mathematical Habits of Mind in All Students

  7. Exploring Puzzles… Cultivating Mathematical Habits of Mind in All Students

  8. Variations of Puzzles… Cultivating Mathematical Habits of Mind in All Students

  9. Discussion • What can you, in your school context, do to increase opportunity for all students to experience intellectually engaging content without requiring prerequisite knowledge? Cultivating Mathematical Habits of Mind in All Students

  10. Contact us • website: ttalgebra.edc.org • e-mail: ttalgebra@edc.org • Paul Goldenberg, pgoldenberg@edc.org • Mary Fries, mfries@edc.org Cultivating Mathematical Habits of Mind in All Students

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