developing mathematics learning communities focusing on student work nctm regional conference...
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Developing Mathematics Developing Mathematics Learning Communities Learning Communities
Focusing on Student WorkFocusing on Student Work NCTM Regional ConferenceNCTM Regional Conference
Baltimore, 2010Baltimore, 2010
Dona T. AppleDona T. Apple Research and Mathematics Staff Development, Senior Consultant Research and Mathematics Staff Development, Senior Consultant
Wendy Pelletier CleavesWendy Pelletier CleavesMathematics Coordinator Mathematics Coordinator
Regional Science Resource CenterRegional Science Resource CenterUniversity of Massachusetts Medical SchoolUniversity of Massachusetts Medical School
What is an MLC?What is an MLC?
Content-specificContent-specific Professional Professional Learning Community Learning Community
Authentic discussions about Authentic discussions about how how children learn mathematicschildren learn mathematics
Collegial discussions that deepen Collegial discussions that deepen teachers’ teachers’ knowledge of content knowledge of content and pedagogyand pedagogy
Research Base and Research Base and ResourcesResources
““Research on Teacher Preparation and Professional Development,” Research on Teacher Preparation and Professional Development,” Grover Whitehurst Grover Whitehurst
““Instructional Policy and Classroom Performance: Mathematics Reform in Instructional Policy and Classroom Performance: Mathematics Reform in California,” David Cohen and Heather HillCalifornia,” David Cohen and Heather Hill
““Form and Substance in Mathematics and Science Professional Form and Substance in Mathematics and Science Professional Development,” Mary KennedyDevelopment,” Mary Kennedy
Designing PD for Teachers of Science and Mathematics, Designing PD for Teachers of Science and Mathematics, Loucks-Horsley, Loucks-Horsley, Love, Stiles, Mundry, HewsonLove, Stiles, Mundry, Hewson
Learning by Doing: A Handbook for Professional Learning Communities at Learning by Doing: A Handbook for Professional Learning Communities at WorkWork, Dufour, Dufour, Eaker, Many, Dufour, Dufour, Eaker, Many
The Fifth Discipline: The Art and Practice of the Learning OrganizationThe Fifth Discipline: The Art and Practice of the Learning Organization, , Peter SengePeter Senge
Reasons for Examining Reasons for Examining Student WorkStudent Work
Give students a gradeGive students a grade Design or revise a taskDesign or revise a task Redirect instructionRedirect instruction Deepen understanding of how Deepen understanding of how
students think about mathematicsstudents think about mathematics Deepen personal understanding of Deepen personal understanding of
mathematicsmathematics
Goals of an MLCGoals of an MLC Form a collaborative learning community Form a collaborative learning community
that focuses on student learningthat focuses on student learning Understand new content in a deeper, Understand new content in a deeper,
more conceptual waymore conceptual way Closely examine student work and Closely examine student work and
formative assessments in order to formative assessments in order to determine progress and instructional determine progress and instructional needsneeds
Reflect on classroom practice, share Reflect on classroom practice, share strategies, discuss best practices, and strategies, discuss best practices, and expand professional expertiseexpand professional expertise
MLC Session FormatMLC Session Format
Mathematical backgroundMathematical background Math metacognitionMath metacognition Looking at student workLooking at student work Reflecting on learningReflecting on learning Feedback and wrap upFeedback and wrap up
Session 7: Math MetacognitionSession 7: Math Metacognition
39 x 2239 x 22
325 x 12325 x 12
Session 7: LASW ProblemSession 7: LASW Problem
Read the problem and discuss what it Read the problem and discuss what it is assessing:is assessing:
(20 + 4)(30 + 5)(20 + 4)(30 + 5)
Write a word problem that Write a word problem that represents this expression. represents this expression.
Solve the problem and show your Solve the problem and show your work.work.
MLC Protocol for LASWMLC Protocol for LASW Read the problem and discuss what it is Read the problem and discuss what it is
assessingassessing Solve the problem individuallySolve the problem individually Share your thinking with a partnerShare your thinking with a partner Discuss the mathematics of the problem as a Discuss the mathematics of the problem as a
whole groupwhole group Look at how students solved the same problem Look at how students solved the same problem Identify evidence of understanding by using Identify evidence of understanding by using
guiding questions guiding questions Discuss evidence of student understanding as a Discuss evidence of student understanding as a
whole groupwhole group
MLC ContentMLC Content
Session 1Session 1 Getting StartedGetting Started
Session 2Session 2 CountingCounting
Sessions 3 – 5Sessions 3 – 5 Addition, Subtraction, and Addition, Subtraction, and IntegersIntegers
Sessions 6 – 7Sessions 6 – 7 Multiplication and the Multiplication and the Distributive PropertyDistributive Property
Sessions 8 – 10Sessions 8 – 10 DivisionDivision
Sessions 11 – Sessions 11 – 1515
FractionsFractions
ContinuationContinuation MLC Customization using school MLC Customization using school data and student workdata and student work
Professional Learning: Professional Learning: Purposeful and Purposeful and TransformativeTransformative
““Believing in students and the intentions Believing in students and the intentions of their effort is an essential part of of their effort is an essential part of
examining student work.” examining student work.” --KelemanikKelemanik
No matter how flawed, it will provide aNo matter how flawed, it will provide alens into mathematical thinking andlens into mathematical thinking andunderstanding that might otherwiseunderstanding that might otherwise
remain invisible. remain invisible.
Contact InformationContact Information
MLC Facilitator Training for your school MLC Facilitator Training for your school or district:or district:
Wendy Cleaves, Math CoordinatorWendy Cleaves, Math Coordinator
Regional Science Resource CenterRegional Science Resource Center
University of Massachusetts Medical University of Massachusetts Medical SchoolSchool
(508) 856-5348(508) [email protected]
MLC Materials OnlineMLC Materials Online
To view and download session notes, To view and download session notes, mathematical tasks, student work mathematical tasks, student work samples, and guiding questions samples, and guiding questions templates, visit:templates, visit:
www.doe.mass.edu/omste/instructional.html