Problem solving presentation

Problem solving in Mathematics
- Solve a problem solving problem 
- What is problem solving and what are problem solving strategies
- Struggles from students 
- Problem solving in Math lessons
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Slide 1: Tekstslide
WiskundeMiddelbare schoolvwoLeerjaar 4,6

In deze les zitten 16 slides, met interactieve quizzen en tekstslides.

time-iconLesduur is: 30 min

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Problem solving in Mathematics
- Solve a problem solving problem 
- What is problem solving and what are problem solving strategies
- Struggles from students 
- Problem solving in Math lessons

Slide 1 - Tekstslide

Slide 2 - Tekstslide

What is the answer to the problem?
A: 17
B: 19
C:20
D:21
E:23

Slide 3 - Poll

What problem-solving strategy did you use?

Slide 4 - Woordweb

Do it/do the problem

Slide 5 - Tekstslide

Arrange your information in a different way

Slide 6 - Tekstslide

31m=51m+31
155m=153m+31
152m=2
2m=30
m=15
Algebraically 

Slide 7 - Tekstslide

Problem-solving
To solve a complicated and challenging problem, problem solving skills are needed to organize and process the given information correctly. 

With every problem you need to understand the situation (context), the necessary mathematics and the skills to work with the necessary mathematics. 
Source
Helden, H. van, Konings, T., & Krabbendam, H. (2019). Probleemoplossen en wiskunde voor de lerarenopleiding en Wiskundedocenten (2nd ed.). Ten Brink Uitgevers. 

Slide 8 - Tekstslide

Polya's problem solving steps
George Polya wrote a book ('How to solve it') in which he describes that solving a problem happens in the following 4 phases: 

1. Understanding the problem
2. Choosing a problem-solving strategie
3. Executing your strategie
4. Checking your answer
Source
Polya, G. (2014). How to solve it. Princeton University Press.

Slide 9 - Tekstslide

Which phase do you think most students struggle with?
1. Understanding
2. Choosing a strategy
3. Executing strategy
4. Checking your answer

Slide 10 - Poll

Problem solving strategies/heuristics 

1. Draw it! (draw a representation of the situation) 
2. Make a systematic list. 
3. Elimination 
4. Reason with a matrix 
5. Find a pattern (Criteria B) 
6. Trial and error
7. Divide the problem in subproblems
8. Solve an easier version of the problem (or 'Use easy numbers') 
9. DO the problem. 
10. Work backwards
11. Use Venn-diagrams 
12. Use algebraic methods
13. Present the information differently 
14. Change your perspective
15. Use (other) graphic methods
16. Use specific materials 


Often there isn't just 'one way' to solve something
Source
Helden, H. van, Konings, T., & Krabbendam, H. (2019). Probleemoplossen en wiskunde voor de lerarenopleiding en Wiskundedocenten (2nd ed.). Ten Brink Uitgevers. 

Slide 11 - Tekstslide

Student struggles 
Why spend so much time on problem-solving


Slide 12 - Tekstslide

Student struggles 

Slide 13 - Tekstslide

Student struggles 
How can you choose a strategy if you don't know which strategies there are? 

Slide 14 - Tekstslide

Student struggles
Last year I focused on discussing a couple of the 16 problem-solving strategies and applying these in different problems. 
After familiarizing with the different strategies 

Slide 15 - Tekstslide

Problem solving in math lessons

Slide 16 - Tekstslide