singapore mathematics workshop on 8 july 2011 (not presented)
DESCRIPTION
Ran short of time. Thus, it was not presented. Would like to share it now. Please feel free to email me if you have any question. Thank you.TRANSCRIPT
11
Singapore Mathematics Singapore Mathematics FrameworkFramework
22
Mathematical Problem Mathematical Problem SolvingSolving
1.1. SkillsSkills
2.2. ConceptsConcepts
3.3. ProcessProcess
4.4. AttitudesAttitudes
5.5. MetacognitionMetacognition
33
1) Skills1) Skills
Numerical CalculationNumerical Calculation Algebraic ManipulationAlgebraic Manipulation Spatial VisualisationSpatial Visualisation Data AnalysisData Analysis MeasurementMeasurement Use of Mathematical ToolsUse of Mathematical Tools EstimateEstimate
44
2) Concepts2) Concepts
NumericalNumerical AlgebraicAlgebraic GeometricalGeometrical StatisticalStatistical ProbabilityProbability AnalyticalAnalytical
55
3) Process3) Process
ReasoningReasoning CommunicationCommunication ConnectionConnection
66
4) Attitude4) Attitude
BeliefsBeliefs InterestInterest AppreciationAppreciation ConfidenceConfidence PerserverancePerserverance
77
5) Metacognition5) Metacognition
Monitoring of one’s thinkingMonitoring of one’s thinking Self regulation of learningSelf regulation of learning
88
Skills (Numerical Calculation)Skills (Numerical Calculation)
AdditionAddition
99
Skills (Numerical Calculation)Skills (Numerical Calculation)
SubtractionSubtraction
1010
Skills (Numerical Calculation)Skills (Numerical Calculation)
MultiplicationMultiplication
1111
Skills (Numerical Calculation)Skills (Numerical Calculation)
DivisionDivision
1212
Skills (Algebraic Manipulation)Skills (Algebraic Manipulation)
ExampleExample
12a x 812a x 8 == (10a + 2a) x (10a + 2a) x 88
== 80a + 16a80a + 16a
== 96a96a
1313
Skills (Spatial Visualisation)Skills (Spatial Visualisation)
Using ModelUsing Model
1414
Skills (Data Analysis)Skills (Data Analysis)
Table & GraphTable & Graph
ManipulativesManipulatives
1515
Skills (Measurement)Skills (Measurement)
3m + 3cm3m + 3cm== 300cm + 3cm300cm + 3cm
== 303cm303cm
1616
Skills (Use of Mathematical Skills (Use of Mathematical tools)tools)
1717
Skills (Estimation)Skills (Estimation)
50 49 = 7
1818
Concepts (Numerical)Concepts (Numerical)
AdditionAddition
1919
Concepts (Numerical)Concepts (Numerical)
SubtractionSubtraction
2020
Concepts (Numerical)Concepts (Numerical)
MultiplicationMultiplication
2121
Concepts (Numerical)Concepts (Numerical)
DivisionDivision
2222
Concepts (Algebraic)Concepts (Algebraic)
2323
Concepts (Geometric)Concepts (Geometric)
2424
Concepts (Statistical)Concepts (Statistical)
It is a science of It is a science of collecting, collecting, organising, organising, interpreting and interpreting and analysing data.analysing data. Collection of DataCollection of Data
Using a Using a questionnairequestionnaire
Through Through observationobservation
Through Through interviewinterview
By measuringBy measuring Using electronic Using electronic
means and the means and the internetinternet
The data collected The data collected can be organised can be organised in the form of table in the form of table and then and then presented in presented in graphical forms graphical forms such assuch as PictogramPictogram Bar graphBar graph Pie chartsPie charts Line graphLine graph histogramhistogram
2525
Concepts (Statistics – Concepts (Statistics – Average)Average)
2626
Concepts (Probability)Concepts (Probability)
Find the Find the probability probability of each of of each of the the followingfollowing
Obtaining a tail by Obtaining a tail by tossing a fair coin.tossing a fair coin.
Obtaining a prime Obtaining a prime number by tossing number by tossing a six-sided fair die.a six-sided fair die.
Choosing Choosing randomly a correct randomly a correct answer from a 4-answer from a 4-choice question.choice question.
2727
Concepts (Analytical)Concepts (Analytical)
2828
Selected Grade 1 QuestionsSelected Grade 1 Questions
2929
WebsitesWebsites
http://www.thesingaporemaths.com/http://www.thesingaporemaths.com/ http://www.singaporemath.com/Defahttp://www.singaporemath.com/Defa
ult.aspult.asp http://www.edcrisch.com/edcrisch/wehttp://www.edcrisch.com/edcrisch/we
b/Index.aspb/Index.asp http://www.moe.edu.sg/http://www.moe.edu.sg/ http://www.testpapers.com.sg/index.http://www.testpapers.com.sg/index.
htmlhtml http://www.sgbox.com/http://www.sgbox.com/ http://http://
www.topschoolexampapers.comwww.topschoolexampapers.com//