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Rajabhat Maha Sarakham University, like all other Rajabhat Universities in Thailand, grew out of teacher training colleges. Today, RMU is one of two universities in Thailand that offer doctoral degree in mathematics education.
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CHIJ Our Lady of Good Counsel
Catholic High School (Primary)
Keys Grade School, Manila
Mahasarakham Rajabhat University
Transforming The
Mathematics Classroom
Dr Yeap Ban Har
PrincipalMarshall Cavendish
InstituteSingapore
Director for Curriculum & Professional
DevelopmentPathlight School
Singapore
12 – 13 August 2010
Day 2
Princess Elizabeth Primary School
mathematicsteaching
effective
Bina Bangsa School, Indonesia
learning theories
Bruner
Bruner
The concrete pictorial abstract approach is used to help the majority of learners to develop strong foundation in mathematics.
National Institute of Education, Singapore
Division
Princess Elizabeth Primary School, Singapore
Division
bruner’s theoryconcrete
mathz4kidz Learning Centre, Penang, Malaysia
A lesson from Earlybird Kindergarten Mathematics
concreteexperiences
mathz4kidz Learning Centre, Penang, Malaysia
pictorialconcreteto
from
mathz4kidz Learning Centre, Penang, Malaysia
abstractpictorialto
from
All Kids Are Intelligent Series
symbols
mathz4kidz Learning Centre, Penang, Malaysia
concrete
Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile
usingmaterials
Professional Development in Ateneo Grade School, Manila, The Philippines
Catholic High School (Primary), Singapore
Multiplication
Pictorial Before Abstract
Primary Mathematics (Standards Edition) 2A
bruner
Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile
conceptual
Bina Bangsa School, Semarang, Indonesia
skemp’s
understandingtheory
Keys Grade School, Manila, The Philippines
Keys Grade School, Manila, The Philippines
Skemp
Understanding in mathematics • relational (conceptual) • instrumental (procedural)• conventional
Teaching for conceptual understanding is given emphasis in Singapore Math.
Pedagogical Principle:
Skemp
Primary Mathematics Standards Edition Grade 6
skemp
Scarsdale Middle School, New York
Spiral Approach
Spiral
Spiral Within GradeGrade 2• Lesson 1 347 + 129• Lesson 2 182 + 93• Lesson 3 278 + 86Spiral Between Grade• Grade 1 Adding up to 100• Grade 2 Adding up to 1000• Grade 3 Adding up to 10000
Spiral
Spiral Between Grade• Grade 2 Add 1/5 and 2/5• Grade 3 Add 1/5 and 1/10
– Is adding 1/5 and 1/10 the same as adding 1/5 and 3/10?• Grade 4 Add 3/5 and 4/5
– Add 5/6 and 1/3• Grade 5 Add 2/5 and 1/4
– Add 4/5 and 3/4 – Add 1 ¾ and 2 ½
Spiral Within and
Between Grades
visualizationfocus on
Wellington Primary School, Singapore
bar model method
Advanced
Intermediate
Low
High
Aver
age
Indo
nesi
a
Thai
land
2 30
15 124
46 4414
75 6648
Grade 8
Method Used in Singapore Textbooks
TIMSS 2007Trends in International Mathematics and Science Studies
Mal
aysi
a
Sing
apor
e
402
7018
8850
9782
Wellington Primary School, Singapore
Ministry of Education Singapore 2006
an excellent vehicle for the development and improvement of
a person’s intellectual competence
“
”
educationmathematics
Move 3 sticks to get two squares.
Move 3 sticks to get two squares.
Wellington Primary School, Singapore
Wellington Primary School, Singapore
Wellington Primary School, Singapore
Wellington Primary School, Singapore
Wellington Primary School, Singapore
Wellington Primary School, Singapore
“…development and improvement of a person’s
intellectual competencies...” such as visualization
Singapore Ministry of Education 2006
Primary Mathematics Standards Edition
and early gradesmodel method
in kindergarten
Ali has 3 sweets. Billy has 5 sweets.How many sweets do they have altogether?
upper gradesmodel method
in
Cheryl has $20 less than David.Cheryl and David have $148 altogether,Find the amount of money Cheryl has.
Cheryl
David 20
$148
Cheryl has $20 less than David.Cheryl and David have $148 altogether,Find the amount of money Cheryl has.
Cheryl
David 20
$148 - $20 = $128
$128 ÷ 2 = $64
Cheryl has $64.
How about David? $84
Cheryl has $20 less than David.Cheryl and David have $148 altogether,Find the amount of money Cheryl has.
Cheryl
David 20
$148
Cheryl
David 20
$148 + $20 = $168
20
$168 ÷ 2 = $84
David has $84.
Cheryl has $64.
Cheryl has $20 less than David.Cheryl and David have $148 altogether,Find the amount of money Cheryl has.
At first Shop A had 156 kg of rice and Shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice that Shop A had was 4 times that of Shop B. How many kilograms of rice did Shop A sell?
A
B
156 kg
72 kg
At first Shop A had 156 kg of rice and Shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice that Shop A had was 4 times that of Shop B. How many kilograms of rice did Shop A sell?
A
B 28
156 kg
72 kg
3 units = 156 kg – 72 kg = 84 kg
1 unit = 28 kg
Each shop sold 64 kg of rice.
Siti
Rahim
29 kg
11 kg
Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes.
What is the mass of Rahim’s clothes?What is the mass of the suitcase?
Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes.
What is the mass of Rahim’s clothes?What is the mass of the suitcase?
Siti
Rahim
29 kg
11 kg
11 kg 18 kg
2 units = 18 kg1 unit = 9 kg
Rahim’s clothes is 9 kg.The suitcase is 2 kg.
We can also find the mass of Siti’s clothes (27 kg) if required.
Siti
Rahim x y
x y y yx + y = 11
x + 3y = 29
2y = 29 – 11 = 18
y = 18 ÷ 2 = 9
Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes.
What is the mass of Rahim’s clothes?What is the mass of the suitcase?
pedagogiesengaging
Rajabhat Mahasarakham University, Thailand
bar model method
Start with any number of beans.
Take turns to remove beans from the table.
Either take one or two beans.
The one who take the last one or two beans wins the game!
How many npn-congruent quadrilaterals of area 5 square units can be drawn on the geo-paper? The vertices must be on the dots.Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand
Rajabhat Mahasarakham University, Thailand