st edward's school, florida
DESCRIPTION
This was from the professional development course for lower school teachers at a school in Vero Beach, Florida.TRANSCRIPT
The ABCDs of Singapore MathLower School Professional Development
St Edward’s SchoolVero Beach FL
www.banhar.blogspot.com
Yeap Ban-Har, Ph.D.Singapore
Da Qiao Primary School
Catholic High School (Primary)
introduction
Wellington Primary School
Classroom Task
• Move 3 sticks to make 3 squares.
Lesson Study Problem Wellington Primary School
• Move 3 sticks to make 3 squares.
• Move 3 sticks to make 3 squares.
• Move 3 sticks to make 2 squares.
• Move 3 sticks to make 2 squares.
• Move 3 sticks to make 2 squares.
• 88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles. How many girls wore swimming goggles on that day?
Teacher-Constructed Test Item
Fairfield Methodist Primary School
• 88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles. How many girls wore swimming goggles on that day?
34
88
54
• 88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles. How many girls wore swimming goggles on that day?
34
54 – 34 = 2034 – 20 = 14
54
3 x 7 = 21
21 girls wear goggles.
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
Philosophy of the Education System
thinking schoolslearning nation
Ministry of Education 1997
their understandingin a variety of
complex situations
mathz4kidz Learning Centre, Penang, Malaysia
This whole shape
stands for 1.
Trends inMathematics& Science Studies
applyand knowledge
What does this stand
for?
Trends inMathematics& Science Study
explaintheir reasoningmathz4kidz Learning Centre, Penang, Malaysia
mathematicalliteracy
OECD Program for International Student Assessment (PISA)
… capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and to use and engage with mathematics in ways that meet the needs of that individual’s life …
mathematicsteaching
effective
Bina Bangsa School, Indonesia
Pedagogical Principle:
Bruner
Primary Mathematics 1A
Number Bonds
PCF Kindergarten Telok Blangah
Number Bonds
PCF Kindergarten Telok Blangah
Bruner
The concrete pictorial abstract approach is used to help the majority of learners to develop strong foundation in mathematics.
National Institute of Education
Division
Princess Elizabeth Primary School
Division
Catholic High School (Primary)
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
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
Fraction Division
Primary Mathematics Standards Edition Grade 6
skemp
Scarsdale Middle School New York
Primary Mathematics Standards Edition
Pedagogical Principle:
Dienes
Dienes
Dienes encouraged the use of variation in mathematics education – perceptual variability and mathematical variability.
Primary Mathematics Standards Edition Grade 1
Pedagogical Principle:
Dienes
Primary Mathematics Standards Edition Grade 1
Pedagogical Principle:
Dienes
Primary Mathematics Standards Edition Grade 2
16
How is Task 4 different from
Task 5?
Primary Mathematics Standards Edition Grade 5
16
30
What is the given in Task 5? What is the given in Task
6? Are these different?Primary Mathematics Standards Edition Grade 5
variationtheoryof
diene’s
Earlybird Kindergarten Mathematics Standards Edition
Can you see how Dienes’ idea is used in designing these tasks?
dienes
Princess Elizabeth Primary School, Singapore
thinking problem solving
bruner’s cpa approachconceptual understanding
diene’s variations
Emphasis on pictorial
representation and systematic variation to
enhance conceptual
understanding
conclusion
PCF Kindergarten Pasir Ris
Instructional Models
• Coaching• Modeling• Providing• Explaning
Da Qiao Primary School
“Children are truly the future of our
nation. “Irving Harris
This presentation is based on part of one of Singapore pre-service mathematics method courses.
50% of Singapore elementary teachers are not college graduate and they are not trained to be specialists.
The TEDS-M findings provide some evidence into the effectiveness of this form of professional development.
TEDS-M Elementary TeachersContent Knowledge
TEDS-M Elementary TeachersPedagogical Content Knowledge
TEDS-M Middle School TeachersContent Knowledge
TEDS-M Middle School TeachersPedagogical Content Knowledge