Reasoning and ProblemSolving Chat All panellists me and
Reasoning and Problem-Solving Chat, ‘All panellists’: me and Claire will see Chat, ‘All panellists and attendees’: we all see Where you teach My morning… As a maths leader I would like to…
Quantity Recognition Parts in a whole Personal Significance
Direct teaching Open tasks Retention Novice Expert Start of sequence End of sequence
Point of answer, using doubt (what) have you understood? ‘What does [name] think? ’ ‘Say it again, better. ’ Plenary Less specific feedback Using silence
14 – 9 14 – 7 14 – 5
62 – 27 = 35 62 – 27 35 SUBTRACTION, 2 -DIGIT NUMBERS I SEE MATHS
62 – 27 = 35 5 1 62 – 27 35 50 SUBTRACTION, 2 -DIGIT NUMBERS 12 I SEE MATHS
62 – 27 = 35 5 1 62 – 27 35 50 SUBTRACTION, 2 -DIGIT NUMBERS 12 I SEE MATHS
62 – 27 = 35 5 1 62 – 27 35 50 SUBTRACTION, 2 -DIGIT NUMBERS 12 I SEE MATHS
62 – 27 = 35 SUBTRACTION, 2 -DIGIT NUMBERS I SEE MATHS
62 – 27 = 35 SUBTRACTION, 2 -DIGIT NUMBERS I SEE MATHS
62 – 27 = 35 30 SUBTRACTION, 2 -DIGIT NUMBERS 32 I SEE MATHS
62 – 27 = 35 30 – 27 SUBTRACTION, 2 -DIGIT NUMBERS 32 I SEE MATHS
62 – 27 = 35 30 – 27 SUBTRACTION, 2 -DIGIT NUMBERS 32 I SEE MATHS
The start of a sequence of lessons: Using and removing visual representations Breaking down skills into individual parts New techniques e. g. part-complete examples Techniques that work well for you
34 34 54 54
28
28 28
28 28 38
28 28 38 43
40 40 540 940 40 -40
40 40 Finding/creating sequences 540 940 Drawing out the relationships 40 Children designing sequences -40
What is 5 + 3? Stories before answer What is 5 – 3? Different forms
Big Ideas of Mathematics: Additive Reasoning Example A: Jen has 8 sweets. Kim has 5 sweets. How many more sweets does Jen have? Example B: Tim is 8. His brother Sam is 5. How much older is Tim than Sam? Example C: Kam had 8 grapes. He ate 5. How many does he have left?
480 ÷ 4 60 ÷ 15
480 people go to a football match. 4 people go in each car. How many cars are needed? 15 children share 60 grapes. How many grapes each?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara has £ 10. How many sandwiches can she afford?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara has £ 10. How many sandwiches can she afford?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara has £ 10. How many sandwiches can she afford?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara wants to buy 3 sandwiches and 2 drinks. She has £ 5. How much more money does she need?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara wants to buy 3 sandwiches and 2 drinks. She has £ 5. How much more money does she need?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara wants to buy 3 sandwiches and 2 drinks. She has £ 5. How much change does she get?
Zara Sandwich: £ 1. 80 Drink: 30 p Zara wants to buy 3 sandwiches and 2 drinks. She has £ 10. How much change does she get?
packs of cakes per pack. cakes eaten at the party. cakes left.
10 packs of cakes. 6 cakes per pack. 47 cakes eaten at the party. cakes left.
packs of cakes. 4 cakes per pack. 26 cakes eaten at the party. 2 cakes left.
2
Numberless questions Recap QWhat & Acould the question be? Small steps in problem-solving Variation in questions for problemsolving
+ = 9 – = 5 A pencil and a rubber cost 40 p. The pencil costs 10 p more than the rubber. How much does the rubber cost? The sum of two numbers is 9. The difference between the numbers is 4. What are the numbers?
- Slides: 75