Conceptual framework of Math Education.pdf

matatag conceptual framework

1. MEd 313 Principles and Strategies in Teaching Mathematics
Miss Jenny Rose O. Sumagui
Course Instructor

2. Objectives
Discuss the goals in mathematics education1
Discuss how critical thinking skill is developed in Mathematics
teaching2
Discuss how problem-based strategy enhances learning mathematics3
MEd 313 Principles and Strategies in Teaching Mathematics

3. MEd 313 Principles and Strategies in Teaching Mathematics
MATHEMATICS isasubjectthat
pervadeslifeatanyage,inanycircumstance.
Thus,its valuegoesbeyondtheclassroom
andtheschool.Mathematicsasaschool
subject,mustbelearnedcomprehensivelyand
withmuchdepth.

4. MEd 313 Principles and Strategies in Teaching Mathematics
TheNatureofMathematics
Mathematicsisthescienceofpatterns
andrelationships
Mathematicsisawayofthinking
Mathisanart
Mathematicsisalanguage
Mathematicsisadiscipline

5. MEd 313 Principles and Strategies in Teaching Mathematics

6. MEd 313 Principles and Strategies in Teaching Mathematics
ThetwingoalsofMathematicsinthe
basiceducationlevels,Kto10are
CriticalThinkingandProblemSolving.

7. MEd 313 Principles and Strategies in Teaching Mathematics
CriticalThinking
Intellectuallydisciplinedprocessofactivelyandskilfully
conceptualizing,applying,analyzing,synthesizing,and/or
evaluatinginformationgatheredfrom,orgeneratedby,
observation,experience,reflection,reasoning,or
communication,asaguidetobeliefandaction.
-Scrivenand Paul (1987)

8. MEd 313 Principles and Strategies in Teaching Mathematics
ProblemSolving
Findingawayaroundadifficulty,aroundanobstacle,and
findingasolutiontoaproblemthatisunknown.
-Scrivenand Paul (1987)

9. MEd 313 Principles and Strategies in Teaching Mathematics
LearningAreaStandard
Thelearnerdemonstratesunderstandingandappreciationof
keyconceptsandprinciplesofmathematicsasapplied–
usingappropriatetechnology-inproblemsolving,critical
thinking,communicating,reasoning,makingconnections,
representations,anddecisionsinreal-life.

10. MEd 313 Principles and Strategies in Teaching Mathematics
KeyStageStandards

11. MEd 313 Principles and Strategies in Teaching Mathematics
GradeLevelStandards

12. MEd 313 Principles and Strategies in Teaching Mathematics
GradeLevelStandards

13. MEd 313 Principles and Strategies in Teaching Mathematics
Content
NumbersandNumberSense
Measurement
Geometry
PatternsandAlgebra
ProbabilityandStatistics

14. MEd 313 Principles and Strategies in Teaching Mathematics
SkillsandProcesses
Knowingandunderstanding
Estimating,computingandsolving
Visualizingandmodelling
Representingandcommunicating
Conjecturing,reasoning,provingand
decision-making
Applyingandconnecting

15. MEd 313 Principles and Strategies in Teaching Mathematics
ValuesandAttitudes
Accuracy
Creativity
Objectivity
Perseverance
Productivity

16. MEd 313 Principles and Strategies in Teaching Mathematics
MathematicalTools
Manipulativeobjects
Measuringdevices
Calculatorsandcomputers
SmartphonesandtabletPCs
Internet

17. MEd 313 Principles and Strategies in Teaching Mathematics
Contexts
Beliefs
Environment
Language
Culture
Learners’PriorKnowledge and
experiences

18. MEd 313 Principles and Strategies in Teaching Mathematics
LearningPrinciplesandTheories
ExperientialandSituatedLearning
ReflectiveLearning
Constructivism
CooperativeLearning
Discovery and Inquiry-Based
Learning

19. MEd 313 Principles and Strategies in Teaching Mathematics
ExperientialLearning
DavidKolb(1975)
Learningthatoccursbymaking
senseofdirecteverydayexperiences

20. MEd 313 Principles and Strategies in Teaching Mathematics
SituatedLearning
LaveandWenger(1990)
Learninginthesamecontextin
whichconceptsandtheoriesare
applied

21. MEd 313 Principles and Strategies in Teaching Mathematics
ReflectiveLearning
Learningthatisfacilitatedby
reflectivethinking

22. MEd 313 Principles and Strategies in Teaching Mathematics
ConstructivistLearning
Arguesthatknowledgeisconstructed
whenthelearnerisabletodraw
ideasfromhis/herownexperiences
andconnectthemtonewideas.

23. MEd 313 Principles and Strategies in Teaching Mathematics
CooperativeLearning
Putspremium onactivelearning
achievedbyworkingwithfellow
learnersastheyallengagedina
sharedtasks

24. MEd 313 Principles and Strategies in Teaching Mathematics
DiscoveryLearningandInquiry-Based
Learning
Takesplaceinproblemsolving
situations
Learnersdrawonhis/herown
experiencesandpriorknowledgeto
solveaproblem

25. MEd 313 Principles and Strategies in Teaching Mathematics
TheSpiralProgressionApproach

26. MEd 313 Principles and Strategies in Teaching Mathematics
PrinciplesofTeachingMath
1.BalancePrinciple
Abalanceofconceptualand
proceduralapproach

27. MEd 313 Principles and Strategies in Teaching Mathematics
FeaturesofBalanceApproachinMath
teaching,(Frei,2008)
Standards-based
Integrated
Engaging
Guidedpractice
Makesuseofmanipulatives,games and
calculators
Assessment-drivenanddata-driveninstruction

28. MEd 313 Principles and Strategies in Teaching Mathematics
PrinciplesofTeachingMath
2.Three-tieredprinciple(J.Bruner)
Teachmathbeginningwiththe
enactivelevelproceedingtotheiconic
levelandfinallytothesymboliclevel.

29. MEd 313 Principles and Strategies in Teaching Mathematics
PrinciplesofTeachingMath
3.Foreffectivemathteaching,employ
experientialandsituatedlearning,
reflectivelearning,constructivism,
cooperativelearninganddiscoveryand
inquiry-basedlearning.

30. MEd 313 Principles and Strategies in Teaching Mathematics
Problem-BasedLearning(PBL)
PBLusesaninquirymodelora
problem-solvingmodel.
Thedrivingforceisthegiven
problemandthesuccessisthesolution
ofthesame,anddiscoveryofseveral
solutions.

31. MEd 313 Principles and Strategies in Teaching Mathematics
AssessmentTask
Reacttothesestatements.
“Ibelievethe‘supermarketcurriculum’,thefashion
whichsays:‘ifyoucan’tuseitinthesupermarket,let’snot
teachit’,isthebiggestinfluenceinthedeclinein
mathematicsskillsandknowledgeinthepasttenyears.The
tendencyistosay;‘ifit’stoohard,let’spostponeteaching
it”.

32. MEd 313 Principles and Strategies in Teaching Mathematics
References:
Corpuz,Salandanan(2015).PrinciplesofTeaching(
withTLE)2.LorimarPublishingInc.
https://www.deped.gov.ph/wp-content/uploads/201
9/01/Math-CG_with-tagged-math-equipment.pdf
https://www.deanza.edu/slo/icctaskforce/sample_r
ubric_gittens.pdf