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

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Presentation transcript:

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

edc.org Agenda Introduction Supporting the Transition to Algebra Mathematical Habits of Mind Hands-on Experience with Classroom Materials Small-group Discussion Group Sharing 1/7/2016Cultivating Mathematical Habits of Mind in All Students2

edc.org 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 1/7/2016Cultivating Mathematical Habits of Mind in All Students3

edc.org 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 1/7/2016Cultivating Mathematical Habits of Mind in All Students4

edc.org 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 1/7/2016Cultivating Mathematical Habits of Mind in All Students5

edc.org 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 1/7/2016Cultivating Mathematical Habits of Mind in All Students6

edc.org Exploring Puzzles… 1/7/2016Cultivating Mathematical Habits of Mind in All Students7

edc.org Variations of Puzzles… 1/7/2016Cultivating Mathematical Habits of Mind in All Students8

edc.org Discussion What can you, in your school context, do to increase opportunity for all students to experience intellectually engaging content without requiring prerequisite knowledge? 1/7/2016Cultivating Mathematical Habits of Mind in All Students9

edc.org Contact us website: ttalgebra.edc.org Paul Goldenberg, Mary Fries, 1/7/2016Cultivating Mathematical Habits of Mind in All Students10