Day 3  Primary Maths Word Problems For Parents Part 1
By
Dr Zam
Created 3 years ago
Duration 0:22:04
83
Introduction to Primary Maths Word Problems Part 1  Polya Problem Solving Model and Understanding Word Problems
Day 3 – Polya Problem Solving Model, Practice
Day 5 – Understanding, Step 1: Annotate; Step 2: Visualize/Manifest (“Make Real”) What is the given information? What is the problem to be solved/What is the question? What information is needed to solve?– Try Concrete Pictorial Abstract Approach, Practice
Day 7 – Understanding – Representing Word Problems in Forms That Help for the next stages of Problem Solving (Planning and Doing) – How to Decide what to do next based on our understanding – mental representations/visual representations/physical representations of the word problems? Unit Modelling – Most Useful Way of Understanding the Word Problem

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Slide Content

Slide 1
 Primary Maths Word Problems Made Easy
 FOR PARENTS
 INTRODUCTION PART 1
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Slide 2  Why this course?
 The Story of a Mother’s Whatsapp Message
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Slide 3  Dr Zam’s Learning Studio

Slide 4  Dr Zam’s Learning Studio

Slide 5  Dr Zam’s Learning Studio

Slide 6  Dr Zam’s Learning Studio

Slide 7  And then…
 Around the same time…
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Slide 8  Madam Leow, a diploma holder, sent her son to the tuition centre after he failed his mathematics midyear exam and she joined the parenting workshop.
 "The methods I used (for solving questions) were not up to date and I couldn't help him with his work," she said.
 "I started to understand his challenges with maths and can help him now instead of just nagging at him without realising the problem.”
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Slide 9
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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?"
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Slide 11  ProblemBased Learning
 Try the word problem again at different stages of the course
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Slide 12  POLYA Problem Solving Method
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 How To Solve It

Slide 13  Dr Zam’s Learning Studio
 In this book he identifies four basic principles of problem solving…
 Polya’s First Principle: 1. UNDERSTAND the problem
 Polya taught teachers to ask students questions such as:
 • 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 14  Dr Zam’s Learning Studio
 Polya’s Second Principle: 2. Devise a PLAN
 A partial list of strategies is included:
 • Guess and check
 • Look for a pattern
 • Make an orderly list
 • Draw a picture
 • Eliminate possibilities
 • Solve a simpler problem
 • Use symmetry
 • Use a model
 • Consider special cases
 • Work backwards
 • Use direct reasoning
 • Use a formula
 • Solve an equation
 • Be ingenious
 ALSO KNOWN AS HEURISTICS!

Slide 15  usually easier than devising the plan
 all you need is care and patience, given that you have the necessary skills
 persist with the plan that you have chosen
 if it continues not to work discard it and choose another
 don’t be misled, this is how mathematics is done, even by professionals
 Polya’s Third Principle: 3. Carry out the plan. DO!
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Slide 16  reflect and look back at what you have done, what worked, and what didn’t
 doing this will enable you to predict what strategy to use to solve future problems
 Check!
 Polya’s Fourth Principle: 4. Look back, Reflect and Check!
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Slide 17  And that is POLYA MODEL OF PROBLEM SOLVING…
 Let’s recap!
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Slide 18  Polya Model of Problem Solving…
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 UNDERSTAND
 PLAN
 DO
 CHECK/REFLECT

Slide 19  "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
 Now… you try…