NILD-SouthAfricaisproudtoannouncethattheywillbehostingthe followingatCurro,Hillcrest,KZN Rx4DiscoveryMathCourse 20thand21stMay2017 Thisisalectureandlaboratorycoursedesignedtotrainteacherstoprovidemathematicalintervention inagroupsetting.Rx4DiscoveryMathisspecificallyintendedforstudentsinGradesR–5whowould benefitfromearlyinterventionorwhosebasicmathskillsarebelowexpectedstandards. I. COURSEDESCRIPTION Rx4DiscoveryMathwillbuildandstrengthennumbersense,mathfluency,mathvocabulary,andproblem solvingstrategieswithinthree30-minuteortwo45-minuteweeklysmallsessions.Studentswhoneedto master basic number sense skills as well as those who rely on procedural understanding would benefit mostfromthisprogramme. Studentswillbechallengedtoapplytheirgrowingunderstandingofnumbersensetosolvenovelproblem solvingactivitiesthatchallengethinkingandreasoning.Hands-on,research-based,numbersenseactivities willbeutilizedasthecorecontentofthisdynamicinterventionwhilemediation,Socraticquestioning,and thestrengtheningofcognitivefunctionswillserveasthecoremethodology.Inthisdynamicintervention, students’foundationalmathconceptswillbestrengthenedwhiletheirthinkingandproblemsolvingskills willbechallenged,allwithinanatmospherewheremathanxietyisreducedandthinkingismaximized. TheRx4DiscoveryMathtrainingstrengthensyourskillsin4essentialways: 1. To provide small-group mathematical intervention that includes activities to strengthen the foundationofmathematicalthinking:NumberSense. 2. Toimmersestudentsindynamicactivitiesthatfostertheunderstandingofwhatnumbersmeanas wellasthinkandreasonflexiblywithnumbers,usenumberstosolveproblems,spotunreasonable answers, understand how numbers can be taken apart and put together in different ways, see connectionsamongoperations,figurementally,andmakeestimates. 1 3. To strengthen conceptual understanding of numbers and encourage the development of selfgeneratedmathematicalstrategiesforefficientmathematicalmethodsthatproduceindependent thinkers. 4. To provide instruction in mathematical language and problem solving through mediation, questioning,andsmall-groupinteractionswherestudents’competencyinroutineandnon-routine mathematicalproblemsandawarenessofpatternsandrelationshipsisstrengthened. II. COURSEOBJECTIVES A. General: Successful completion of this course will enable the participant to better understand studentneedsinmaths,basedonthefoursubtypesofmathsdisabilitiesandunderstandhowto strengthen number sense, develop maths fluency, and bolster problem solving skills, while also learning how to utilize the group model for Rx 4 Discovery Math to teach students conceptual, procedural, and problem solving maths skills and strategies to strengthen students’ foundational graspofnumbers. B. Specific:Uponcompletionofthiscourse,theparticipantwillbeableto: 1. Communicate an understanding of the differences between group and individualized interventions. 2. Demonstrate an ability to work with groups of 4-6 students in the teaching of basic mathematicalskillsfocusedonnumbersense. 3. Communicatethetheoriesofmediatedlearninginagroupsetting 4. Designaplanforgroupimplementationthatwouldmeetthelearningneedsofspecificgroups ofstudents. III. COURSERESOURCES A. RxforMathtrainingManual B. TheNeuropsychologyofMathematicsbyDr.StevenG.Feifer C. ComingtoKnowNumberbyGraysonH.Wheatley&AnnM.Reynolds–requiredtext D. NumberSenseRoutinesbyJessicaF.Shumway E. MediatingMathbySueHutchison,KathyKeafer&PattiePerry F. MediatingLearningInandOutoftheClassroombyCognitiveResearchProgram G. PlayingwithMath:TheNameoftheGamebyChrisHorneandStevenFeifer 2 IV. COURSEREQUIREMENTS A. Prerequisite:none B. Pre-coursePreparation: 1. Obtain permission from the school or programme supervisor to use group models in classrooms,remedialrooms,orafterschoolsettings. Nowrittenpermissionisrequiredfor this course, but we ask that you secure permission ahead of time in order to ensure ease of implementationaftertrainingiscompleted. 2. Read Part l, “Helping Children Learn Mathematics”, of Coming to Know Number and printPartll,“PupilActivities”,foruseindemonstrationsduringthecourse. 3. Readthefollowing4articles: • EarlyNumberSensePlaysaRoleinLaterMathSkills byLaurenNeergaard • IsItCountingorAdding? by Sara Eisenhardt, Molly H. Fisher, Jonathan Thomas, Edna O. Schack, Janet Tassell, and Margaret Yoder • WhatisConceptualUnderstanding? byBalka,Hull,andHarbinMiles • UsingConcretenessinEducation byMeganC.Brown,NicoleM.McNeil,andArthurM.Glenberg V. MATERIALS 1. Required- ComingtoKnowNumberbyGraysonH.Wheatley&AnnM.Reynolds–Partll,“Pupil Activities”printedandpreparedforuseduringthecourse. 2. Suggested- NumberSenseRoutinesbyJessicaF.Shumway MediatingMathbySueHutchison,KathyKeafer&PattiePerry PlayingwithMath:TheNameoftheGamebyChrisHorneandStevenFeifer VI. COURSEWORKLOAD Thetimerequiredforassignmentsandprerequisiteassignmentshasbeenestimatedat7hours. VII. COURSEEVALUATION Participants will practice the maths techniques with a small group and receive feedback on their demonstrations. Proficiency with number sense activities and the ability to articulate their importancewillbeassessed. 3 VIII. CONTENT MathsDisabilitySubtypes 1. VerbalDyscalculia 2. ProceduralDyscalculia 3. SemanticDyscalculia 4. Visual-SpatialDyscalculia CognitiveFunctions INPUT § ClearPerception § ExplorationoftheLearning Situation § ReceptiveVerbalTools& Concepts § SpatialOrientation § TemporalOrientation § ConservationofConstancies § Precise&AccurateData Gathering § UseoftwoormoreSourcesof Information ELABORATION § DefinitionoftheProblem § SelectRelevantcues § Spontaneouscomparative behaviour § BroadandWideMentalField § PlanningBehaviour § SummativeBehaviour § ProjectVirtualRelationships § PursueLogicalEvidence § Abilitytointernaliseevents § Inferential-Hypothetical Thinking § HypothesisTesting § PlanningBehaviour § ElaborationofCognitive Categories § GraspofReality OUTPUT § CommunicationModalities § ParticipatoryOutputResponses METHOD SocraticQuestioning Small-GroupLearning Multi-Sensory Games MediatedLearningExperience § Intentionality § Reciprocity § Transcendence § Meaning § Competence § SharedBehaviour FOCUS § Worked through Output Responses § ExpressiveVerbalTools § DataOutput § VisualTransport § Behaviour CONTENT QuantitativeAbilities § NumberSense (collections,patternsand relationships) § § PrimaryNumericAbilities (subtizing,ordinality,counting, arithmetic) SecondaryNumericAbilities (number-countingsystem, arithmeticcomputations,word problems) § ConceptualUnderstanding § MathsFluency (efficiency,accuracy,flexibility) § MathsVocabulary § ProblemSolvingStrategies NILDPositionStatement:TheNationalInstituteforLearningDevelopment(NILD)wasfoundeduponthe biblicalworldviewthataffirmseachindividualwascreatedintheimageofGodandthereforehasinnate potential to learn and become effective in service to the world. As a professional educational training centre we strive to maintain integrity at every level of service delivery. NILD has a policy of nondiscriminationinrelationtorace,colour,gender,nationalorethnicorigin. 4 NILD's Philosophy: Believing that all students can learn and that the brain is open to modification at all stages of development, we provide direct and focused educational treatment for cognitive systems that areweakandvulnerable. DON’TMISSTHISOPPORTUNITY! Fullprice:R2000pp(Registrationsclose:07May2017) EarlyBirdprice:R1800pp(ifpaidby15thApril2017) Schoolprice:R1500pp(if3ormorepeoplefromthesameschoolattend) Pleasenote:Youneedtoattendtheentiretraininginordertofulfilthepassrequirements.Classeswill finishat5p.m.onthefinaldayoftraining. Classesstartat8.30a.m. Accommodationandtransport: Foryourownarrangement. ItrustthattheinformationcontainedabovewillenableyoutomakeaninformeddecisionandthatIwill hearfromyousoon. Yourstruly, ShireenArchibald 5 Rx4DiscoveryMath COURSEAPPLICATION:20thand21stMay2017 Curro,Hillcrest,Kzn Name:_________________________________________________________________________________ Telephone:(home/work)____________________________Cell:__________________________________ Postaladdress:__________________________________________________________________________ Code:____________________E-mail:_______________________________________________________ School(ifapplicable)______________________________________________________________________ EducationalBackground College/University Major Degree/Diplomaheld Fullprice:R2000pp(Registrationsclose07May2017) th EarlyBirdprice:R1800pp (ifpaidby15 April2017) Schoolprice:R1500pp(if3ormorepeoplefromthesameschoolattend) BANKINGDETAILS: Accountholder:NILDSANPC AccountNumber:4090921313 BranchCode:632005 Accounttype:CHEQUE SwiftCode:ABSAZAJJ PLEASEFAX/E-MAILAPPLICATIONFORM–THISPAGE(PAGE5ONLY)ANDPROOFOFPAYMENTTO: ShireenArchibald:[email protected]. 6 IX. SELECTEDBIBLIOGRAPHY Albrami,P.C.,Lou,Y.,Chambers,B.,Poulsen,C.,Spence,J.C.(2000).Whyshouldwegroupstudentswithin-class forlearning?EducationalResearchandEvaluation,6(2). Ashcraft, Mark. (2002) Math anxiety: personal, educational, and cognitive consequences. Current Directions in PsychologicalScience,11(5),181-185. Boaler, Jo. (2012). Times tests and developmental math anxiety. Retrieved April 9, 2014, from Education Week website:http://www.edweek.org/ew/articles/2012/07/03/36boaler.h31.html Burns,Marilyn.AboutTeachingMathematics:AK-8Resource.3rded.Sausalito,CA:MathSolutions,2007.Print. Burns,Marilyn.“HowIBoostMyStudents’NumberSense.”InstructorMagazine,April1997:49-54.Web. Carlyle,Ann,andBrendaMercado.TeachingPreschoolandKindergartenMath:Morethan175Ideas,Lessons,and Videos for Building Foundations in Math, a Multimedia Professional Learning Resource. Sausalito, CA: Math Solutions,2012.Print. Cartney, P., & Rouse, A. (2006). 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Chard. “Number Sense: Rethinking Arithmetic Instruction for Students with Mathematical Disabilities.”TheJournalofSpecialEducation33.1(1999):18-28.Print. Haskell,S.H.(2000).Thedeterminantsofarithmeticskillsinyoungchildren:Someobservations.EuropeanChildand AdolescentPsychiatry,9,1177-1186. 7 Jones, A. (2002). Teaching for learning is in education: Assessing the effectiveness of small group problemsolving/discussion events in large class teaching. Proceedings of the 15th Annual Conference of the International AcademyforInformationManagement.Kaufman,R.&Burden,R.(2004).Peertutoringbetweenyoungadultswith severeandcomplexlearningdifficulties:TheeffectsofmediationtrainingwithFeuerstein’sInstrumentalEnrichment programme.EuropeanJournalofPsychologyofEducation,XIX(1). Kaufman,AlanS.,PhD,&NadeenL.Kaufman,EdD.(2004).PearsonAssessments,KTEAII. Korkman, M., (1999). Applying Luria’s diagnostic principles in the neuropsychological assessment of children. NeuropsychologyReview,9(2),89-1103. Kozulin,A.(1990).Vygotsky’spsychology:Abiographyofideas.Cambridge,MA:HarvardUniversityPress. Lavoie,R.(2005).It’ssomuchworktobeyourfriend.NewYork,NY:Touchstone. Lerner, J. (2000). Learning disabilities: Theories, diagnosis, and teaching strategies. Boston, MA: Houghton Mifflin Company. Neergaard,Lauran.“EarlyNumberSensePlaysRoleinLaterMathSkills.”AssociatedPress(2013):n.page.Yahoo! News.26Mar.2013.Web. Ormrod, J.E. (2010). Anxiety in the Classroom. Retrieved April 9, 2014 from Education Week website: http://www.education.com/reference/article/anxiety-classroom/ Parrish, Sherry. Number Talks: Helping Children Build Mental Math and Computation Strategies, Grades K-5. Sausalito,CA:MathSolutions,2010.Print. Russell, Deb. (2014). Dispel the Math Myths. Retrieved April 9, 2014 from About.com “Mathematics” website: http://math.about.com/cs/mathreform/a/myths_2.htm Schuster, Lainie. Enriching Your Math Curriculum: Grade 5: A Month-to-month Resource. Sausalito, CA: Math Solutions,2010.Print. 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