# cultivating mathematical habits of mind in all students

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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 - PowerPoint PPT PresentationTRANSCRIPT

Cultivating Mathematical Habits of Mind in All StudentsBaltimore STEM Smart, March 22, 2013

Paul GoldenbergMary Fries

edc.org

AgendaIntroductionSupporting the Transition to AlgebraMathematical Habits of MindHands-on Experience with Classroom MaterialsSmall-group DiscussionGroup Sharing

*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

edc.org

Supporting the Transition to AlgebraTTA, a 4-year R&D project funded by NSFFull-year intervention course to be taken concurrently with first-year algebraAlso used in other settings including summer school and middle school as pre-algebraRelated projects: Implementing the Mathematical Practice Standards and iPuzzle*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

edc.org

Habits of Mind ApproachQuickly 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 mindImportant algebra topics are used as contexts for fostering these mathematical practices

*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

edc.org

Transition to Algebra Habits of MindPuzzling and PerseveringSeeking and Using StructureUsing Tools StrategicallyDescribing Repeated ReasoningCommunicating with PrecisionConsistent with Common Core State Standards for Mathematical Practice*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

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 solvingAccessible logical thinking activities: puzzle difficulty can vary independently along two dimensionsprerequisite mathematical skill and cognitive demand

*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

edc.org

Exploring Puzzles*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

edc.org

Variations of Puzzles*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

edc.org

DiscussionWhat 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*

Cultivating Mathematical Habits of Mind in All Students

edc.org

Contact uswebsite: ttalgebra.edc.orge-mail: [email protected]

Paul Goldenberg, [email protected] Fries, [email protected]

*Cultivating Mathematical Habits of Mind in All Students*

Cultivating Mathematical Habits of Mind in All Students

Algebra is a gateway to STEM coursework and careers.Passing it is an equity issue.TTA designed for double-block setting.Two other projects that have developed out of this work: IMPS: using student dialogues to engage teachers in thinking about the mathematical practicesiPuzzle: building a mobile app with some of the puzzles from TTA *Not about skills recovery, but about getting kids as smart and intrepid as when they were six.Thinking about problem solving rather than following problem solving algorithms:Tailless Word Problems Students are given a context and have to figure out what the question is.

*Foundations of mathematical thinkingIn alignment with the Common Core State Standards for Mathematical Practice *Allow access without advanced mathematical skill*