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Meaningful contexts Conversa4ons and inquiry Exploring rela4onships and pa;erns Ac4vi4es making connec4ons with their real world, generalizing Sequen4al, explicit lessons with step-by-step illustra4ons ! Representa4onal Can ‘see’ rela4onships Mul4-sensory All strands Cross- curricular Interven4on High Learning Needs/GiOed Evidence based Teaching Handbook & Implementa4on Guide Built in Assessment Homework support Numicon - all learners in NZC Levels 1- 4 Focused teaching in small groups Independent group/paired Whole class activities Characteristics of the teaching activities
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Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Sep 30, 2020

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Page 1: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

•  Meaningfulcontexts

• Conversa4onsandinquiry

• Exploringrela4onshipsandpa;erns

• Ac4vi4esmakingconnec4onswiththeirrealworld,generalizing

• Sequen4al,explicitlessonswithstep-by-stepillustra4ons

!•  Representa4onal

•  Can‘see’rela4onships

•  Mul4-sensory•  Allstrands

•  Cross-curricular•  Interven4on

•  HighLearningNeeds/GiOed•  Evidencebased

•  TeachingHandbook&Implementa4onGuide

•  BuiltinAssessment

•  Homeworksupport

Numicon - all learners in NZC Levels 1- 4

Focused teaching in small groups Independent group/paired Whole class activities

Characteristics of the teaching activities

Page 2: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Weo%enunderes+matethedifficul+eschildrenhaveunderstandingabstractideaswithoutpicturestohelpthem.It'scomparabletoteachingchildrenreadingwithoutanypicturesinthebooks.TheNumiconshapesandpa;ernsprovidechildrenwithpicturesofnumbersthatshowthenatureofnumbersaswellastheirrela+onships.Numiconenableschildrentoreally'see'hownumbersandnumbersystemworks.

TheNumiconApproach–Communica7ngMathema7cally,ExploringRela7onships,GeneralisingExplicitandprogressiveac4vi4eshelpsteachersprovideacomprehensiveprogrammeoflearningforallchildren.Theyteachwithconfidence.Ithasbeenprovenbyresearchthatbyadop4ngtheNumiconapproachtomathsandfollowingthe

teachingprogramme,childrenarehelpedinsecuringtheessen7albuildingblocksofmathsunderstanding,givingthemthebestchancetobesuccessfulinmathsalltheirlives.Equivalence PlaceValueFrac+onsDecimals/PercentagesWhatdoesitmeanforchildren?•  Childrenenjoythevisual,prac4calopen-endedac4vi4es•  Recognisethemathsfoundineverydaysitua4ons•  Conversa4onenablingchildrenofallabili4estoachievemore.

•  Confidenceinthemselvesasmathema4ciansandpersistinfindingsolu4ons.Whatdoesitmeanforteachers?•  Confidenceandconsistentteaching•  Seeingchildrenunderstandingandenjoyingmaths!•  Assessmentbecomesveryobvious-theycanseewhatachildisthinking

•  Sequencedapproachandplanningprovidedacrosstheschoolandincorpora4ngothercurriculumareas

•  OngoingPDthroughtheuseoftheTeachingResources

Maths-paFernsandrela7onships,andusingthemtosolveproblems!

www.numicon.co.nz

Page 3: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

NumiconandtheNewZealandCurriculum

NumiconfitswellwiththeNZCurriculumandNa4onalStandards.Frompreschool,theNumiconteachingac4vi4esdevelopnumberandalgebratogether.ChildrenexplorethepaFern,order,posi7onandsizeofnumbersandunderstandtheminrela7ontoothernumbers.Theyareintroducedtothelanguageandac7onsofnumberopera7onsasequa4onsandexpressions.Theyexploreallthestrands’conceptsinthecontextofreallifeac4vi4es.

•  Ac4vi4esinallthestrandsinterweavebuilding

confidenceforstrategiestobeeasilyunderstoodandappliedinthecontextofeverydaylife

•  Ac4vi4esteachtheapplica4onofarangeofdifferentstrategiestosolveproblemsandunderstandtheconnec7onsbetweenthem.

•  Thesameapparatusisusedfromearlychildhood

throughtoillustra4ngmathema4calconceptsatYear10!

•  Languageofmathsisexplicitlytaught•  Theac4vi4esbuildonpreviouslylearnedconceptsin

astructuredandinter-connectedway.•  Theyapplytheirnumberandalgebraskillsto

conductinves4ga4ons,solveproblems,communicatetheirreasoningandapplytheminallthestrandsofthemathema4cscurriculum.

NUMICON

FirmFounda4ons

BreakingBarriers

Numicon1

BreakingBarriers

Numicon2

BreakingBarriers

Numicon3

BreakingBarriers

Numicon4

Numicon5

Numicon6

SimilartoNFStages

0-3

0-4

Early5

Late5

6

7

8+

NZCurriculumLevels

Early1

1

2

2/3

3

4

4+

Na4onalStandards

BytheendofYear2

BytheendofYear3

BytheendofYear5

BytheendofYear6

BytheendofYear7

BytheendofYear8

Typicalyearlevel

EarlyChildhood

NewEntrants

Year1 Year2 Year3 Year4 Year5 Year6

Page 4: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Num

icon

5

Num

icon

6

6

BreakingBarrierscoversasummaryoftheconceptsinNumicon1,2and3atapacetoenablestudentswithhighLearningNeedstopar4cipateinthesameclassenvironmentastheirpeers.Numiconsupportsinclusiveeduca4onprac4ce.NumiconInterven7onProgrammecoversthekeymathema4calideasinNumicon1,2,and3ina12-15weekinterven4oneitheraspartoftheclassroomenvironmentorinaseparateenvironment.ADiagnos4cAssessmentinmathema4csdeterminesthestar4ngpointandteachingprogrammeforeachstudenttoclosethegapbetweenthestudentswhoarestrugglingandtheiraverage-achievingpeers.‘Inves7ga7onswithNumicon’teachingbookcontainstenopen-endedinves4ga4onswithalowthresholdandhighceiling,withthepoten4altostretchchildrentoLevel3andbeyondoftheNZCurriculum.Suitableforbrightchildreninmaths,includingbrightchildrenwhoarenotsucceedinginmathema4csknownas‘twiceexcep4onal’.

KeyMathema7calideasinNumicon1-4TeachingProgressionscanbefoundunderSuppor4ngResourcesonwww.numicon.co.nz.TheseshowwhentoconnectNPCandGMSintoyourprogrammeduringtheyear.

Page 5: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

7

KeyMathema7calideasinNumicon5and6TeachingProgressionscanbefoundunderSuppor4ngResourcesonwww.numicon.co.nz.TheseshowwhentoconnectNPCandGMSintoyourprogrammeduringtheyear.

Page 6: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Geometry,Measurement&Sta4s4cs

GMSisintegratedlogicallytolinkinwiththelearninginNPC.Numiconcoversallthestrandsinameaningfulandlogicalwaythathelpschildrenmaketheconnec4onsbetweenthestrandsandtoaneverydaylifecontext.

Page 7: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Numicon–Printedresources

Educa4onalcontext

Learningopportuni4es

Wordsandtermsforuseinconversa4on

Assessmentopportuni4es

Milestonestoachievethroughouttheyear&linkedtoassessmentbooklets-

ExplorerProgress

Implementa4onGuide TeachingHandbook:Long,mediumandweeklyplans

www.numicon.co.nz

ExplorerProgresslink

Page 8: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Numicon–Printedresources

Focusac4vi4esinmainteachingsystem

Havereadyguidance

Stepsofprogression

ExploreMore-Homeworkac4vi4es

ExplorerProgress-assessmentbooklets

Illustra4onstogivefurthermeaningto

text

Page 9: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Enhanceteachers’subjectknowledge,pedagogyandthereforetheirconfidence

Senseofachievementandconfidenceforchildby‘ac4vely’

doingmaths

Skillschildreninmathema4csfor

‘secondaryreadiness’andbeyond

Progression,supportandchallengeforchildrenofall

abili4es

Numicondoesmakeadifference!

EasyBuyPacks•  NumberPa;ernCalcula4ng

•  GeometryMeasurementSta4s4cs

ApparatusStarterPacks

Allproductscanbepurchasedseparately

www.numicon.co.nz

BudgetforPLDtogetthemostfrom

NUMICON

Page 10: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

Assessment–AssessmentOpportuni4es,GatheringEvidence,Tracking

Interven4on–12-15weeks

WithintheTeachingHandbook,ontheintroductorypage,ineveryAc4vityGroup,therearedetailsofwhattolookandlistenfor.

Assessmentac4vi4esintheExplorerProgressBooksallowastudenttodemonstratetheirunderstandinginanewcontext,provideanindependentrecordandevidenceoftheirlearning.

AOereveryfourorfiveAc4vitygroupsasummaryofwhathasbeencoveredandtrackedforeachstudentataMilestone.

ArecordtotrackthelearningateachMilestoneisincludedintheTeachingHandbook•  Trackkeyconceptsandskills•  Givesyouconfidenceintrackingover7me•  Integratedintomedium-termplanning

Op4onsofdelivery:•  RTLB•  SENCOorLearningSupportstaff•  Classroomteacher•  TeacherAidewithteachersupport

AschoolorRTLBclustercanonlyprovidethisprogrammeaOertraininghasbeenreceivedbyacer4fiedNumiconConsultant

TheNumiconInterven7onProgrammeprovidestrainingandresourcesforeffec+vemathsinterven4onwithstudentsfromYears3-11.•  diagnos4cassessment•  qualita4tveassessment•  targetedac4vi4es•  guidanceonplanning•  assessingandreflec4ngonprogress•  nextstepsbeyondinterven4on

Resourcesrequired:NIPOnlineResources,NIPGuideBookandtrainingApparatusPackAInterven4onCD1MathsBagperstudent

Diagnos4cAssessmentStandardizedTes4ng

Analysisforthestar4ngpoint

Familiariza4onAc4vi4es

Interven4onAc4vi4es

ReviewofUnderstanding

Mee4ngwithcarers/parents

Page 11: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

NumiconInterven7onProgramme

DesignedspecificallyforusingwithstudentswithdelayinYears3-11,coveringLevel1andLevel2oftheNZCurriculuminNumber,Pa;ern&Algebra,EarlyMeasurement.12-15week

interven4on.

NIP:•  Introduc4ontoschoolandfamilies•  Diagnos4cAssessment•  PlanningandAc4vityGuidance•  Familiariza4onLessons•  Interven4onLessons•  RecordofProgress•  HomeworkResourcesGuide•  PhotocopyMastersMathsConceptsLinkwithNumicon1,2and3Conceptscovered:Coun7ngSkillsto1000PaFern&Algebra-  Pa;erns-  Equivalence-  Oddsandevens-  Reasoning-  Greaterandlessthan,<and>-  =signNumberandtheNumberSystem-  Exploringshapes-  Orderingshapes-  Numbersandorderingto10-  Numbersandorderingto20,100-  Groupingin10’sto100-  Placevalueto100-  Skipcoun4ngin2’s5,10’s-  Money,andusingmoneyCalcula7ng-  Addi4onandsubtrac4onto10,20-  +and–symbols-  Money-coinequivalence-  Frac4ons-  Mul4plyinganddividing-  Xand÷symbols

Resources:NumiconInterven4onProgrammeGuideNumiconInterven4onProgrammeOnlinesupportApparatusStarterPackAClassApparatusStarterPackA1:1MathsBagNIPInterven4onCD

MathsBagandNIPCD

NumiconStarterApparatusPackA,Group

Page 12: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

BreakingBarriers

DesignedspecificallyforusingwithstudentswithHighLearningNeedscoveringLevel1andearlyLevel2oftheNZCurriculuminNumber,Pa;ern&Algebra,Measurement.Linkswith

NPC&GMS1,2and3foracompleteprogramme.

BreakingBarrierscovers:Coun7ngSkillsPaFern&Algebra-  Pa;erns-  Equivalence-  Oddsandevens-  Reasoning-  Greaterandlessthan,<and>-  =signNumberandtheNumberSystem-  Exploringshapes-  Orderingshapes-  Numbersandorderingto10-  Numbersandorderingto20-  Groupingin10’sto100-  Placevalueto100-  Skipcoun4ngin2’s5,10’sCalcula7ng-  Addi4onandsubtrac4onto10-  +and–symbols-  Money-coinequivalence-  SimpleFrac4ons-  Prac4calMul4plyinganddividing-  Xand÷symbols

Resources:BreakingBarriersTeachingPack$200BreakingBarriersClassApparatusPack$400BreakingBarriers1:1ApparatusPack$240Pricesaresubjecttochange

Page 13: Numicon - all learners in NZC Levels 1- 4 · The Numicon Approach – Communica7ng Mathema7cally, Exploring Rela7onships, Generalising Explicit and progressive ac4vi4es helps teachers

EarlyChildhoodandNewEntrantsFirmFounda7ons• Learningthroughplay• Learningthepa;ernsandgaining‘’numbersense’• Usingthepa;ernsinappliedarithme4c• Addi4onandSubtrac4on

BreakingBarriersequivalenttoNumicon1and2,butdifferen4atedforgreaterinclusionandsupportforinterven7onandstudentswithlearning/highlearningneedsatNZCLevels1-2-foranyage

1stStepsintheNurseryandatHome-twoproductsforEarlyChildhood&Home

FurtherInforma7on• Replacementbooksandapparatusareavailable

• Manyschoolspurchaseclasssetsofli;leboxesandaddthemtothestudentsta4onerylistalongwiththeAssessmentbooklets

• Usetheli;leboxesofshapeswithyourclasswhileusingtheinterac4vewhiteboardsoOware

• Numiconpiecesareweightedallowinguseofapanbalanceandanaturallinktounderstandingequivalence

• ThetrainingDVDisagreatresourceforongoingPD

• In-schoolPDisavailable

• FurthersupportatourwebsiteandOxfordOwl

Tes7monials• “Wewerereallyflounderingun+lwebeganworkingwithNumicon”

• “Mystudenthasmademoreprogressinthesefiveweeksthanhedidwithfiveweeksonaregularprogramme”

• Itisthehighlightofmystudent’sday!”

• “Planningissoeasynow.”

• “WhatIhavelearnedinteachingmystudentusingNumicon,hascarriedoverintoothersubjectareas-thesmallsteps.”

• WewereamazedatthesuccessofNumiconinourremedialprogramme.Theknowledgestayedwiththechildrenandtheywereabletotakeitbackintotheirregularprogrammewithconfidence!”

• ThetrainingcoursereallyhelpedmegainbeTerunderstandingoftheprogrammeandthedecisiontoimplementitasourschoolMathscurriculum.”

• WeareveryimpressedthatourYear1studentsarewellthroughtheequivalentofStage4NPDandontoStage5!

Inves7ga7onswithNumicon• GiOed&TalentedProgramme

• Dyslexicstudentslovethis!

• Encouragesmathema4calthinking

• Openinves4ga4onswithmathema4calconcepts,idealforG&Texplora4ondays

Accessories–seewebsiteformore

So`wareforinterac7vewhiteboard

PanBalance

SchoolYears:Numicon1–6TeachingPacks AssessmentBooklets Extraac7vi7esofsupportfor

homeandschool

ApparatusPacksA,B,C

www.Numicon.co.nz0800678581

HighLearningNeeds