educarnival 2014 at iit delhi- the 4 ps of primary school maths by payal malhotra
TRANSCRIPT
Poems, Puzzles, Pictures and Problem-solvingThe 4 Ps of Primary School Mathematics
28 December 2014
Payal MalhotraCurriculum Specialist
Scholastic India
Satya Nadella, CEO, Microsoft
Lakshmi Mittal, Chairman and CEO, Arcelor Mittal
Indra Nooyi, Chairperson and CEO, Pepsico
Harish Manwani, COO, Unilever
Shantanu Narayan, CEO, Adobe
Atul Singh, Group President of Asia, Coca Cola
Ajay Banga, President and CEO, Mastercard
Piyush Gupta, CEO, DBS Group Holdings and DBS Bank
Who Are These People? What Do They Have In Common?
Problems in Teaching and Learning of Mathematics
• A curriculum that disappoints both a talented minority as well as the non-participating majority at the same time,• Crude methods of assessment that encourage
perception of mathematics as mechanical computation, and
• Lack of teacher preparation and support in the teaching of mathematics.
A sense of fear and failure regarding mathematics among a majority of children.
Position Paper, National Focus Group on Teaching of Mathematics, NCERT
The process of learning mathematics
Primary Mathematics Teaching and Learning Syllabus, Ministry of Education, Singapore, 2012
Global Best Practices in Learning of Mathematics
1. Learning to mastery – focus on concept development
Holiday Spirit
Holiday Spirit
Pearly Whites
Pearly Whites
Use symmetry to see 8 groups of 7 pearls.
To multiply by 8, double three times: 7 doubled once is 14, doubled twice is 28, doubled three times is 56.
8x7=7+7 + 7+7 + 7+7 + 7+7
7
+7
+14
Mrs Kohli has 3 cakes.
She divides them equally among her 4 children.
How much cake does each child get?
Concrete-Pictorial-Abstract Approach
1
2 3
The Best of Times
The Best of Times
Global Best Practices in Learning of Mathematics
2. Cross curricular learning
Math Art
Math Art
Global Best Practices in Learning of Mathematics
3. Development of mathematical thinking
• Enjoy learning mathematics • Learn the importance of mathematics• View mathematics as something to talk about,
communicate, discuss among themselves and work together on
• Pose and solve meaningful problems
Move 3 sticks to make 3 squares.
Move 3 sticks to make 3 squares.
Move 3 sticks to make 3 squares.
What do I need to form?What are the properties of a square?
How many sticks do I have to move?
What were you thinking as you were doing this activity?
Move 3 sticks to make 2 squares.
Move 3 sticks to make 2 squares.
Move 3 sticks to make 2 squares.
• What was this activity?• What knowledge and skills are required to carry out this
activity?
DEVELOPMENT OF MATHEMATICAL THINKING
Global Best Practices in Learning of Mathematics
4. Consistent Formative Assessment
Consistent Formative Assessment
• When the chef tastes the soup, it is formative assessment, when the guests taste the soup, it is summative assessment!
• Formative assessment is an important part of teacher learning and teaching.
• Formative assessment should be frequent, meaningful and informal.
Grade 1 Journal Task: Addition and Subtraction up
to 20
Answer of Pupil A
Susan says that 12 + 3 is the same as 3 + 12
Is she right?
Why? You can write or draw to show me.
Answer of Pupil B
Best Practices: Formative Assessment and Developing
Metacognition
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5. Problem Solving is central – process
and method
Model method – an effective problem
solving tool
Focuses on the problem-solving process
Emphasises problem solving
4-step problem solving process helps students develop confidence in problem solving
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Focuses on the method required to solve the problem – teaches students the heuristics for mathematical problem solving including the model method
Emphasises problem solving
The model method
Draw a picture
Surbhi read 10 pages of a book on Monday. She read 1/3 of the remainder on Tuesday. If she still had 24 pages to read, how many pages were there in the book? (G5)
How many pages did she read on Monday?
Divide the remainder into 3 equal parts.
What fraction did she read on Tuesday?
How many pages were unread?
What do I need to find?
2 units 241 unit 123 units 36
36 + 10 = 46
There were 46 pages in the book.
The Model Method: An effective problem solving tool
Thank You!
For queries contact [email protected]
"If we teach today's students as we did yesterday's, we are robbing them of tomorrow." — John Dewey