Day 3 - Primary Maths Word Problems For Parents Part 1

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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Day 3 - Primary Maths Word Problems For Parents Part 1

By Dr Zam
Created 2 years ago

Duration 0:22:04
lesson view count 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
  1. Slide 1

    • Primary Maths Word Problems Made Easy
    • FOR PARENTS
    • INTRODUCTION PART 1
    • Dr Zam’s Learning Studio
  2. Why this course?

    Slide 2 - Why this course?

    • The Story of a Mother’s Whatsapp Message
    • Dr Zam’s Learning Studio
  3. Dr Zam’s Learning Studio

    Slide 3 - Dr Zam’s Learning Studio

  4. Dr Zam’s Learning Studio

    Slide 4 - Dr Zam’s Learning Studio

  5. Dr Zam’s Learning Studio

    Slide 5 - Dr Zam’s Learning Studio

  6. Dr Zam’s Learning Studio

    Slide 6 - Dr Zam’s Learning Studio

  7. And then…

    Slide 7 - And then…

    • Around the same time…
    • Dr Zam’s Learning Studio
  8. Madam Leow, a diploma holder, sent her son to the tuition centre after he failed his mathematics mid-year exam and she joined the parenting workshop.

    Slide 8 - Madam Leow, a diploma holder, sent her son to the tuition centre after he failed his mathematics mid-year 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.”
    • Dr Zam’s Learning Studio
  9. Slide 9

    • Dr Zam’s Learning Studio
  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?"

    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
  11. Problem-Based Learning

    Slide 11 - Problem-Based Learning

    • Try the word problem again at different stages of the course
    • Dr Zam’s Learning Studio
  12. POLYA Problem Solving Method

    Slide 12 - POLYA Problem Solving Method

    • Dr Zam’s Learning Studio
    • How To Solve It
  13. Dr Zam’s Learning Studio

    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?
  14. Dr Zam’s Learning Studio

    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!
  15. usually easier than devising the plan

    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!
    • Dr Zam’s Learning Studio
  16. reflect and look back at what you have done, what worked, and what didn’t

    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!
    • Dr Zam’s Learning Studio
  17. And that is POLYA MODEL OF PROBLEM SOLVING…

    Slide 17 - And that is POLYA MODEL OF PROBLEM SOLVING…

    • Let’s recap!
    • Dr Zam’s Learning Studio
  18. Polya Model of Problem Solving…

    Slide 18 - Polya Model of Problem Solving…

    • Dr Zam’s Learning Studio
    • UNDERSTAND
    • PLAN
    • DO
    • CHECK/REFLECT
  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?"

    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…