mathz4kidz for parents
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mathz4kidzSeminar for Parents
Problem-Solving Approachin Mathematics Learning
Dr Yeap Ban Harbanhar.yeap@pathlight.org.sgMarshall Cavendish Institute
Singapore
Economic wealth of a nation does not depend on its natural resources anymore. It depends on its human resource.
Perekonomian sebuah negara tidak lagi tergantung pada sumber daya alamnya saja, tapi tergantung pada sumber daya manusianya.
Singapore 2010
Kualitas dari sumber daya manusia sangat menentukan pertumbuhan ekonomi sebuah negara.
The quality of a nation’s human resource determines its economic growth.
PCF Kindergarten Telok Blangah, Singapore
“At greatest risk are jobs that can be expressed in programmable
rules – blue collar, clerical, and similar work that requires moderate skills and used to pay middle-class wages.”
Source: Levy & Murnane 2005
How the demand for skills has changedEconomy-wide measures of routine
and non-routine task input (USA)
1960 1970 1980 1990 200240
45
50
55
60
65 Routine manual
Nonroutine manual
Routine cognitive
Nonroutine ana-lytic
Nonroutine in-teractive
(Levy and Murnane)Mean t
ask
inp
ut
as
perc
en
tile
s of
the 1
960
task
dis
trib
uti
on
Source: Levy & Murnane 2005
Kebutuhan tenaga kerja dengan keahlian yang biasa-biasa saja dan mengandalkan keahlian manual sudah sangat berkurang selama 50 tahun terakhir.
Sementara kebutuhan tenaga kerja dengan keahlian yang tidak biasa justru meningkat pada periode yang sama.
Mathematics Curriculum Framework
Mathematical Problem
Solving
Attitudes
Metacognition
Proc
esse
s
Concepts
SkillsNumericalAlgebraic
GeometricalStatistical
ProbabilisticAnalytical
Reasoning, communication & connectionsThinking skills & heuristicsApplication & modelling
Numerical calculationAlgebraic
manipulationSpatial visualization
Data analysisMeasurement
Use of mathematical tools
Estimation
Monitoring of one’s own thinkingSelf-regulation of learning
BeliefsInterest
AppreciationConfidence
Perseverance
PSLE: Primary 6 National Examination
Paper Item Type Number of Items
Mark Range
1No calculator
50 min
Multiple Choice
10 1
Multiple Choice
5 2
Short Answer 10 1
Short Answer 5 2
2Calculator1 h 40 min
Short Answer 5 2
Long Answer 13 3-5
PSLE: Primary 6 National Examination
Paper Item Type Number of Items
Mark Range
1No calculator
50 min
Multiple Choice
10 1
Multiple Choice
5 2
Short Answer 10 1
Short Answer 5 2
2Calculator1 h 40 min
Short Answer 5 2
Long Answer 13 3-5
Example 1
equilateral triangles of side 3 cm
based on PSLE 2010
The perimeter of the figure is 99 cm.How many pieces of the triangles are used
to make the figure?
Example 2
based on Specimen Paper PSLE
A shop sells curry puffs for 40 cents each.Find the greatest number of curry puffs that can be bought using $95.
$95 ÷ $0.40 = 237.5 9500 ÷ 40 = 237.5
The greatest number of curry puffs that can be bought is 237.
Example 3
The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away 3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end?
(Teck Whye Primary School, Primary 6)
Album A
Album B
Album C
The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away 3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end?
(Teck Whye Primary School, Primary 6)
Album A
Album B
Album C
13 units 444 + 24 = 4681 unit 468 ÷ 13 = 36
468
390 78
7 units ?7 units 36 x 7 = 210 + 42 = 252There were 252 more stamps in Album C than Album A in the end.
Example 4
ABCD is a square. Given that PQ = PR = PS and that AB is parallel to QS and is perpendicular to PR, find QRS.
Q
P
R
S
A B
CD
based on PSLE 2009
Singapore Math
Before Now
In the first PSLE, half the candidates failed the
examination.
Today, in PSLE Mathematics more than 40% of the
candidates score an A or A*. In 2010, 43.3% scores A or A*.
Princes Elizabeth Primary SchoolWellington Primary School
Features
Concrete Learning
CPA Approach
4
?
4
33
The ability to visualize is a core competency in mathematics learning
Kemampuan untuk visualisasi adalah kompetensi dasar dalam pembelajaran matematika.
Maths Champion (Indonesia)
Earlybird Kindergarten Mathematics
Maths Champion (Indonesia)
Pensar sin Limites (Chile)
Ateneo de Manila Grade School, The Philippines
Primary Mathematics Standards Edition (United States of America)
Spiral Approach
Spiral Approach
Spiral Approach
Spiral Approach
Principle of Variability
Principle of Variability
Choice of Materials
PCF Kindergarten Tanjong Pagar, Singapore
mathz4kidz, Penang
Choice of Examples
based on multiple intelligences
ACT Framework for mathz4kidz
Focus on Attitude
Focus on Communication
Fuchun Primary School, Singapore
Anglo Singapore International School, Bangkok, Thailand
Focus on Thinking
mathz4kidz, Penang, Malaysia
Focus on Thinking
2- =
x
mathz4kidz, Penang, Malaysia
ACT
their understanding
in a variety ofcomplex situations
Trends inMathematics
applyand knowledge
& Science Studies
Advanced
Intermediate
Low
High
Swed
en
Med
ian
U S
A
3 105
24 4026
69 7767
93 9590
TIMSS2007Grade 4
Japa
n
Sing
apor
e
4123
7461
9289
9898
Program forStudents’Achievement
Teacher Education Course in Chile
Bina Bangsa School, Bandung, Indonesia
mathz4kidz, Penang, Malaysia
Edgewood Elementary School, New York, USA
Fuchun Primary School, Singapore
Catholic High School (Primary), Singapore
Victory Christian International School, Manila
Escuela de Guatemala, Vina del Mar, Chile
mathz4kidzSeminar for Parents
Problem-Solving Approachin Mathematics Learning
Dr Yeap Ban Harbanhar.yeap@pathlight.org.sgMarshall Cavendish Institute
Singapore
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