General MAC MeetingMay 2012

Silicon Valley Mathematics Initiativewww.svmimac.org

David FosterSilicon Valley Mathematics Initiative

www.svmimac.org

"Optimism is an essential ingredient for innovation. How else can the individual welcome change over security, adventure over staying in safe places? A significant innovation has effects that reach much further than can be imagined at the time, and creates its own uses. It will not be held back by those who lack the imagination to exploit its use, but will be swept along by the creative members of our society for the good of all. Innovation cannot be mandated any more than a baseball coach can demand that the next batter hit a home run. He can, however, assemble a good team, encourage his players, and play the odds."Robert N. Noyce

Optimism

Silicon Valley Mathematics Initiative76 Members - School Districts, Charter School Networks, and Schools

Gilroy (Brownell MS)Fremont USDForsyth County School (GA)Hamilton County (Tn)Hayward USDJefferson ESD Jefferson HSDLas Lomitas SDLa Honda-Pescadero SdLos Altos SDLos Gatos SDMenlo Park SDMonterey Peninsula USDMoreland SDMountain SDNational Council of La RazaNew York City PSNew Visions for Public SchoolsOakland Unified SDPacifica SDPajaro Valley USD Palo Alto USDPortola Valley SDRavenswood City SDRiverside COE

AlbanyAlvord SD (Riverside County)Antioch Unified SDAspire Charter School NetworkAssumption School (San Leandro)Bayshore SDBelmont-Redwood Shores SDBerryessa SDBolinas – Lagunitas SDBrisbane SDCambrian SDCharter School of Morgan HillChicago Public SchoolCreative Arts Charter (SF)CSU San BernardinoCotati – Rohnert ParkCupertino SDDade County Schools (GA)Discovery Charter SchoolDioceses of Santa ClaraDublin USD East Side UHSDEdmonds Community CollegeEmery SDEtiwanda SD (San Bernardino Co)

Redwood City SchoolsSacramento City USDSalinas City SchoolsSan Carlos Charter Learning CenterSan Francisco USDSMFC (Park School)San Jose Unified SDSan Ramon Valley USDSanta Clara USDSanta Cruz City SchoolsSaint Michael’s School (Poway)Saint Patrick’s School (San Jose)SaratogaScotts Valley USDSCCOE County Court SchoolsSequoia HSDSMCOE County Court SchoolsSouth Cook Service DistrictSouth San Francisco USDSumter County (GA)The Nueva SchoolUniversity of Illinois, ChicagoValley Christen (Dublin)Valdosta City (GA)Walnut CreekWoodside

Supporting Teaching and Learning of Mathematics Since 1996

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Improved Mathematical Teaching Practices and Student Learning Using

Complex Performance Assessment Tasks

Pamela Paek, Ph.D.

Center for Assessment

NCME Mathematics Assessment Session April 15, 2012

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Issues• Given the upcoming transition to the CCSS, it is

important to identify effective resources that provide guidance to teachers on next steps in their teaching practices.

• The use of complex performance tasks is touted as critical in the two assessment consortia, and as a result, there is high need to– find ways to transition teachers’ use of these new

assessment types – build their capacity to use that information to truly

improve their teaching and thus student learning.

Performance AssessmentsTo Inform Instruction And Measure Higher Level Thinking

• The Mathematics Assessment Resource Service (MARS) is an NSF funded collaboration between U.C. Berkeley and the Shell Centre in Nottingham England.

• The Assessments target grades 2- Geometry and are aligned with the State and NCTM National Math Standards.

RampAccess

Top

Core

Entry level (access into task)Core Mathematics - (meeting standards)Top of Ramp (conceptually deeper, beyond)

Task Design

Dimensions of MARS Tasks• Mathematical Content: Five tasks aligned

to Common Core • Process Dimension: Modeling and

Formulating, Transforming and Manipulating, Inferring and Drawing Conclusions, Checking and Evaluating, Reporting

• Task Type: Non-routine, design, plan, evaluate and make a recommendation, review and critique, representation of information, technical exercise, definition of concepts

• Openness• Reasoning Length Varies