description of mathematics programs next-generation standards mind... · skill and fluency, and...
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DescriptionofMathematicsPrograms
FoundationaltotheDanaCenter/AgileMindmathematicsprogramsaretheseprinciples:thatallstudents,regardlessoftheirlifecircumstances,needanddeserveaccesstochallengingcurriculaeveryday,andthatallteachersneedanddeservetoolsanddatathathelpthemaddressthechangingdemandsoftheaccountabilitylandscapeandthevariedexperiencestheirstudentsbring.
Developmentofconceptstoreflecttherigorofnext-generationstandards
Adeep,authenticcommandofmathematicsisreflectedinthreeaspectsoflearning:conceptualmastery,proceduralskillandfluency,andapplication—ortheabilitytocorrectlyapplymathematicsindifferentsituations.Throughoutourlessons,homework,andformalassessments,studentsworkonrichtasksthatensuretheirlearningreflectstherigorofthestandards.Lessonsaredesignedtosupportthedevelopmentofdeepconceptualunderstanding,andtheuseofmultiplerepresentationsandreal-worldcontextssupportdifferentiationfordiverselearners.
Strategic,deliberatepracticeandreview—supportedthroughprintmaterialsandonlinepracticeandassessment—enablestudentstoattainthefluenciesandproceduralskillsthestandardsrequire.
Whydowe—andtheeducatorsweserve—thinkoursarethebest,mostsupportive,programs?
• Professionaldevelopment.Ourrobustprofessionalsupportsystem—online,inprint,andfacetoface—isdescribedbyteachersandadministratorsasthebesttheyhaveexperienced.Itsupportseducatorsaseliteprofessionals,andrecognizestheirdifferingneeds,backgrounds,andpractices.
• Interactivevisualizations.Ourprogramsincludehundredsofinteractivevisualizationsofkeymathematicsconceptsateachgradeleveltopromotestudentengagementanddeepenunderstanding,collaboration,anddiscourse.Bydesign,theyenableeducatorstodifferentiatetheexperienceoflearnersthroughmultipleentrypoints.
• Practiceandassessment.Ourthousandsofonline,technology-enhancedpracticeandassessmentresourcesreflecttheexpectationsofnext-generationassessment.Theyareautomaticallygraded,tofreeeducatorstofocusonoutcomes,notonchasingorgradingassignments.
• Real-timedata.Oursystemreportseffort,progress,andperformanceforindividualsandgroupsofstudentsinrealtime.Thismakesiteasyforteacherstodifferentiateinstructionbasedondataandtoidentifychallengeareasthatneedfurtherinstruction.Itequipsstudentsandtheirfamiliestotakeresponsibilityforlearning.
• Teachertestedandprovendesign.Everycomponentofourprogramsistestedandimprovedbasedontheadviceofeducators.Morethan40,000teachersin15,000classroomshaveused
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ourcomprehensiveprogramsinthelastdecade,andthousandshaveprovidedfeedbackthathasshapedimprovementstoensureourprogramswillworkforallschoolsanddistricts.
Designedforallstudents
Ourprogramsequipteacherstoenactacurriculumineveryclass,foreverystudent,everyday;toenablestudentstotakeresponsibilityfortheirownlearning;tointensifyinteractionsbetweenteachersandlearnersincriticalcompetencysubjects;andtousedatatoinformtheseprocesses.
Weworktofirstmakethemostcrucialbigideastransparenttoteacherandlearnerandthensequencetheminsuchawaythatstudentsareabletobuildtheirunderstandingbymakingconnectionsamongandacrossthoseideas.Integratedintothesyllabusarestrategiesandsupportsindicatedbyresearchtobemosteffectiveforstudentlearning.
Theprogramsappearina“blended”format,meaningthatsomeessentialmaterialsareprovidedonlineandothersinprint.Thisenablesustoenrichtheresourceswithinteractiveanimationsandextendedexplorationsthatdeepenstudentunderstandingofcentralconceptsandallowteacherstoeasilyrepresentconceptsthatmightotherwisebedifficulttoteach.Programmaterialsaresharedbyteacherandstudentsduringclass,andareusedbystudentsoutsideofclasstoreinforcetheirlearning.AgileMindprintedmaterials—StudentActivitySheets—aredesignedtobeusedintandemwithonlinecontenttofurtherdevelopstudents’conceptualunderstanding,providepracticetowardsmastery,consolidatelearning,andapplyittosolvingproblemsinreal-worldcontexts.Emphasisonproblemsolvingandmodeling
Throughproblemsolvingandmodelingapproaches,ourprogramsrequirestudentstoengagewiththemathematicsanddrawontheirexistingknowledgetobuildnewunderstandings.Learnersaresupportedthroughembeddedquestionsandpromptstohelpthemgetstartedonnewactivities,maintaincognitiveengagement,focusonkeyideasandrelationships,persistproductively,andinternalizeandengageintheStandardsforMathematicalPractice.
Supportsforacademicliteracy
Researchonhowlanguageimpactslearninginmathematicshasexpandedsubstantiallyinthepastdecade,andmakescleartheimportanceofacademicliteracytoachievingtheintentofgrade-levelstandards.Ourprogramsapplythisresearchtohelpstudentsbuildessentialacademicvocabulary,comprehendandanalyzekeyelementsofmathematicsproblems,explicitlyconnectdifferentrepresentationsofmathematicalsituations,andreflectuponandcommunicatetheirunderstandings.Theyencompassrich,practicalteachingstrategiesbeneficialtolanguagelearners,tospecialpopulationsofstudents,andtoallstudentsinthefollowingways:
• Termsareclearlydefinedwithinthecontextofwhatisbeinglearned• Languageconnectionsandvisualrepresentationsstrengthenvocabularydevelopment• Wordoriginsandmultiplemeaningsfortermsareusedtodevelopconnectionsbetween
familiar,everydaylanguageandacademicvocabulary• AGlossaryofkeytermswithvisuallyrichexamplesisavailableinEnglishandSpanish• TheAdviceforInstructionprovidestargetedsupportsforteacherstopromoteacademic
languagedevelopmentandinstructionalstrategiesthatareeffectivewithEnglishLanguageLearners(ELLs)aswellashesitantlearners
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Real-timedataandreportsontheprogressofeffortandlearning
Havingtimelydatatorepresentandreportstudenteffortandprogressiskey.Reportssurface“whatnow?”questionsinrealtimeforindividualsandgroups,andsupportuseofdatatoinformdifferentiationstrategies.Thedatamakeiteasyforbusyeducatorstoknowhowstudentsperformedoneachitemandidentifypotentialchallengeareasthatneedfurtherinstruction.Vividgraphicspinpointstudentprogressonassignmentsandidentifywhicharestrugglingandwhicharethriving.Thesedataequipteachersandleaderstolookatinstructionalefficacyandconnecteffortwithoutcomes.Additionally,teacherscanusedatatoaddressdifferencesinlearningneedsearly.
Robustteachersupports
Thetoolsandresourcesthataccompanyeachtopicsupportteachersasprofessionalsandequipthemintheirdailypractice.Adviceforeverytopiccontainsrespectfulguidanceforplanningandteachingeachlesson:
• Strategiesforfacilitatingexplorationofkeyconceptsthatengagealllearners• Suggestionsforpromotingdiscourse,andforindividual,small-group,andwhole-classlearning• Guidanceforscaffoldinganddeepeningstudentlearning,andfordifferentiatinginstructionfor
learnerswithdiverseneeds• Embeddedquestionsandadviceinlessonstohelpteacherssupportstrugglinglearners• InstructionalstrategiesproventobeeffectivewithEnglishLanguageLearnersaswellashesitant
learners• Furtherquestionstoextendstudents’conceptualunderstandingandpushathigherDepthof
Knowledgeindicators• Periodicadvicetoteachersthathighlightsstrategiestobuildstudents’proficiencywiththe
StandardsforMathematicalPracticeBlendedprofessionalsupports
Ourmodelofprofessionaldevelopmentisdesignedtointroduceandsustainhigh-yieldstrategiesintheuseofourprogramstoincreasestudentengagement,achievement,andpersistenceinmathematics.Partnerschoolsreportsignificantgainsinthenumberanddiversityofstudentswhoareleavinghighschoolreadyforcollegeandforthecontemporaryworkplace.
Duringannualface-to-faceprofessionaldevelopmentInstitutesandongoingin-personandvirtualsupport,teachers,coaches,andinstructionalleaderslearntouseandintegrateAgileMindresourcesintotheirpractices,gainexperienceincollaboratingoncommonlessonsandassessments,andlearnstrategiesforensuringasuccessful,rigorouslearningexperienceforallstudents.InadditiontoInstituteattendance,mostpartnerdistrictschoosetohavefollow-upsessionsduringtheacademicyearcustomizedtomeetspecificneedsofparticipatingfacultyandstudents.
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EvidenceofEfficacyasReportedbyDistrictsLakeBluff,IL
NorthofChicago,LakeBluffElementarySchoolDistrict65servesapproximately1000K-8students.
AgileMind’sMiddleSchoolMathematics6,7,and8programshavesupporteddramaticgainsinstudentachievement.LakeBluffstudentsarefaroutperformingthe2015NWEA2015MAP®normativedataacrosstheboard,and2016resultsdemonstrategrowthincreasingateachbenchmarkingstage:
• LakeBluff’sMAPgrowthsignificantlyoutpacedNWEAnormsfrombeginning-toend-of-yearassessment,with48%greatergrowthatGrade6,15%greatergrowthatGrade7,and61%greatergrowthatGrade8.
• UnlikewhatispredictedbyNWEAnormsandsimilardatanationwide,LakeBluffstudentsexperiencednosummerlearningloss.
• Fromthebeginningofgrade6totheendofgrade8,districtMAPscoresgrewby28.4points.Thisrepresents114%greatergrowthinmiddleschoolthanthatpredictedbyNWEAnorms.
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Grade6 Grade7 Grade8
MeanMAP
®Scores
LakeBluffFallandSpringInterimPerformance
Fall2015 Spring2016
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Grade6Spring
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Grade7Spring
Grade8Fall
Grade8Spring
MeanMAP
®Scores
Comparisonto2015NWEANorms
LakeBluff NWEANorms
summerlearningloss
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Farmington,NM
FarmingtonMunicipalSchoolsisacomprehensiveschooldistrictinNewMexicoservingover11,000studentsat18schools.Morethan50%ofstudentsinthedistrictqualifyforfreeandreducedlunch.
Duringthe2015-2016schoolyear,FarmingtonenactedAgileMind’sMiddleSchoolMathematicsprogramsasthecoreinstructionalresourceformiddleschool.Students’performanceonend-of-course(EOC)examsrevealeddramaticgrowth–a37%increaseinthenumberofstudentswhoachievedproficientorhigherontheEOC.