Day 5  Primary Maths Word Problems For Parents Part 1
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Dr Zam
Created 3 years ago
Duration 0:31:01
18
Introduction to Primary Maths Word Problems Part 1  Polya Problem Solving Model and Understanding Word Problems

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Maths
problem sums
word problems
singapore maths
primary maths
maths word problems
polya
problem solving
dr zam
dr zam learning studio

Slide 1
 Primary Maths Word Problems Made Easy
 FOR PARENTS
 INTRODUCTION PART 1
 DAY 5
 Dr Zam’s Learning Studio

Slide 2  At a Glance for Day 5:
 Recap Polya Problem Solving Approach
 1st Step/Principle: Understand the Problem
 The Questions…
 Annotate!
 Visualize/Manifest! (Make Real)
 Concrete Pictorial Abstract
 Practice
 Dr Zam’s Learning Studio

Slide 3  Polya Model of Problem Solving…
 Dr Zam’s Learning Studio
 UNDERSTAND
 PLAN
 DO
 CHECK/REFLECT

Slide 4  Dr Zam’s Learning Studio
 Polya’s First Principle: 1. UNDERSTAND the problem
 • Do you understand all the words used in stating the problem?
 • What are you asked to find or show?
 • Can you restate the problem in your own words?
 • Can you think of a picture or diagram that might help you understand the problem?
 • Is there enough information to enable you to find a solution?

Slide 5  Dr Zam’s Learning Studio
 Annotate!
 add notes to (a text or diagram) giving explanation or comment
 active understanding
 analyzing the word problem – making sense of its meaning through writing, drawing or making notes

Slide 6  ProblemBased Learning
 Try the word problem again at different stages of the course
 Dr Zam’s Learning Studio

Slide 7  "Mom opened a packet of chocolates for her 2 girls, Abi and Nat. Both girls grabbed the chocolates. When Abi noticed that she had more chocolates, she gave 15 chocolates to Nat so that both of them would have an equal number of chocolates. Later, Nat decided to return 12 chocolates to Abi as she felt that Abi deserved the chocolates for her quick reaction. As a result, Nat had only 2/3 of Abi's chocolates. How many chocolates had Nat at first?"
 Dr Zam’s Learning Studio

Slide 8  Dr Zam’s Learning Studio
 Visualize/Manifest (Make Real)
 Further understanding or full understanding of the word problem through pictures, diagrams – or manifesting MAKE IT REAL, IMAGINE IT, or ACT IT OUT
 Many ways
 Unit Modelling, Branch Method, Making a List, etc… (Heuristics)
 Unit Modelling most helpful – will be focused in the next lesson!
 CONVERT INFORMATION IN THE WORD PROBLEM INTO VISUAL FORM/PHYSICAL FORM/MENTAL FORM

Slide 9  ProblemBased Learning
 Try the word problem again at different stages of the course
 Dr Zam’s Learning Studio

Slide 10  "Mom opened a packet of chocolates for her 2 girls, Abi and Nat. Both girls grabbed the chocolates. When Abi noticed that she had more chocolates, she gave 15 chocolates to Nat so that both of them would have an equal number of chocolates. Later, Nat decided to return 12 chocolates to Abi as she felt that Abi deserved the chocolates for her quick reaction. As a result, Nat had only 2/3 of Abi's chocolates. How many chocolates had Nat at first?"
 Dr Zam’s Learning Studio
 A packet of chocolates (total remains the same all the time)
 Abi and Nat (2 Girls)
 Abi had more choc than Nat (AT FIRST)
 Abi gave 15 choc to Nat (THEN)
 becomes equal
 Then, Nat gave 12 choc to Abi (FINALLY)
 becomes Nat’s is 2/3 of Abi’s (Concept of Fraction)
 Problem: How many Nat had AT FIRST?

Slide 11  Dr Zam’s Learning Studio
 A packet of chocolates (total remains the same all the time)
 Abi and Nat (2 Girls)
 Abi had more choc than Nat (AT FIRST)
 Abi gave 15 choc to Nat (THEN)
 becomes equal
 Then, Nat gave 12 choc to Abi (FINALLY)
 becomes Nat’s is 2/3 of Abi’s (Concept of Fraction)
 Problem: How many Nat had AT FIRST?
 Make It Visual!
 JUST DRAW!

Slide 12  Dr Zam’s Learning Studio
 A packet of chocolates (total remains the same all the time)
 Abi and Nat (2 Girls)
 Abi had more choc than Nat (AT FIRST)
 Abi gave 15 choc to Nat (THEN)
 becomes equal
 Then, Nat gave 12 choc to Abi (FINALLY)
 becomes Nat’s is 2/3 of Abi’s (Concept of Fraction)
 Problem: How many Nat had AT FIRST?
 Make It Visual!
 Unit Modelling

Slide 13  Dr Zam’s Learning Studio
 ConcretePictorialAbstract
 CONCRETE Can you use physical objects to understand the problem? Or try to act it out?
 Get a packet of chocolates/or pieces of paper to represent the chocolates
 Act out the word problem
 PICTORIAL If not possible, can you draw? (Under Exam Conditions)
 Pictorial/Visual Form – helps to understand the problem
 ABSTRACT Not possible to draw any picture/diagram
 Very unlikely, always possible to visualize (ALMOST ALL THE TIME)
 Only possible to have mental representations – a feel of what it means

Slide 14  Dr Zam’s Learning Studio
 Practice Time
 Download the Practice Hand out for this lesson and Print!
 Use the Understanding a Problem Questions Checklist (Download it too!)
 Do it with your child if you want…
 Annotate it! Visualize it! Make it Real!
 Don’t worry about getting the right final answers! APPLY THE UNDERSTANDING TECHNIQUES!
 The questions are of different degrees of difficulties, from Primary 1 to PSLE type of questions