1. Playing board for the game Crooked rules.
Player
Tens
Units
Tenths
Player A . .
Player B .
Player C .
Player D
Presentation slide 1.1

2. Expectations Progression Engagement Transformation
The mathematics strand of the secondary national strategy for school improvement – key principles
Expectations
Progression
Engagement
Transformation
Presentation slide 1.2

3. Some features of the mathematics strand of the secondary national strategy
Planning based on clear teaching objectives from the Framework for secondary mathematics
Structured mathematics lessons
Regular opportunities to develop oral, mental and visualisation skills
Focus on direct interactive teaching of the whole class and groups
Emphasis on the development of key vocabulary and mathematical language
Promotion of continuity between key stages 2 to 4 by building on pupils’ achievements
Pupil tracking and intervention to provide support for pupils at risk of underachievement
Presentation slide 1.3

4. A typical structured mathematics lesson
Oral and mental starter
Whole-class work to rehearse, sharpen and develop mental skills, including visualisation, thinking and communication skills and recall of facts
5 to 10 minutes
Main teaching activity
Teaching input and pupil activities. Work as a whole class, in groups, in pairs or as individuals. Interventions to identify and sort out misconceptions, clarify points and give immediate feedback
25 to 40 minutes
Plenary
To round off the lesson, work with the whole class to summarise key facts and ideas, to identify progress, to make links to other work, to discuss the next steps and to set homework
5 to 15 minutes
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5. Structure of the Framework for secondary mathematics
The five strands of progression:
Mathematical processes and applications
Number
Algebra
Geometry and measures
Statistics
Presentation slide 1.5

6. Work out the total
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7. Work out the total
Presentation slide 2.2

8. Marie’s sum
This is the calculation Marie was asked to do:
= 10
She wrote: = 10
Presentation slide 2.3

9. In your purse you have lots of 5p, 10p and 20p coins.
Ellie’s problem
In your purse you have lots of 5p, 10p and 20p coins.
How many different ways could you pay for a magazine costing 45p?
Presentation slide 2.4

10. Skills that reinforce mathematical understanding
Talking about their work with peers and adults
Using and responding to questions
Using and interpreting mathematical vocabulary
Describing how they carried out a mathematical task
Using gestures, models and drawings to support explanations
Seeking clarification by using phrases such as “I don’t understand”, “What does that mean?” or “Please say that again”
Presentation slide 2.5

11. How would you tackle these calculations?
23 – 9
2003 – 1998
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12. Considering how you did the calculations
How did you work out each calculation?
What different methods were used?
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13. How would you tackle these calculations?
Working out totals
£ £ £1.46
– 6.7
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14. Working out the totals 47 + 76 = = (40 + 7) + (70 + 6)
= ( ) + (7 + 6)
= = 123 or
= 117
= 123 =
= ( ) + ( )
= ( ) + ( ) + (5 + 8)
= = 363
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15. 17 + 3 = 45 x 2 = 254 – 55 = 83 7 = Horizontal recording=
45 x 2 =
254 – 55 = =
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16. Vertical and horizontal recording
365
365 – 99
– 99
Presentation slide 3.6

17. Target board 25 30 44 7 38 27 41 52 3 43 34 37 45 8 31 17 9 36 28 54
Presentation slide 3.7

18. How would you tackle these calculations?
15 x 4
32 x 7
67 x 24
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19. Multiplication and division
34 x 20
36 x 5
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20. Mental method using partitioning
38 x 4 = (30 x 4) + (8 x 4)
Grid method 38 x 4
This leads to the expanded method
X 4 30 8
120 32
152 38 X4
120
+32
(30 x 4)
(8 x 4)
152
Presentation slide 4.3

21. Grid method of multiplication
23 x 42 = (20 + 3) x (40 + 2) x 20 3 40 2
800 40
120 6
920 46
966
23 x 42 = 966
Presentation slide 4.4

22. Considering the role of the TA in the video
What was the TA doing to support the pupil that she was working with?
Where was the TA sitting?
How did she help the rest of the group to participate in the oral and mental starter?
Presentation slide 5.1

23. The role of the TA in the oral and mental starter
The TA can help pupils to take part in the oral and mental starter by:
encouraging them to concentrate and take part
repeating discreetly questions that the teacher asks and helping the pupils find an answer
alerting the teacher if a pupil has an answer
asking further questions that will help pupils to think when they are discussing a problem in pairs
observing a pupil and making notes about their responses to questions
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24. The role of the TA in the video
Why is it important for the TA to be present during the direct teaching?
How does the TA support the direct teaching?
How does the TA support the group work?
What sort of questions does the TA ask the pupil during the group work?
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25. The role of a TA when working with a group
To ensure that group members understand what they have to do and monitor that they are following instructions correctly
To give them clues when they are stuck, but without letting them become too dependent on adult help
To help them to stay on task and remind them how much time they have to complete the work
To help them to learn, read and use new mathematical vocabulary
To make sure that they check answers for ‘reasonableness’
To encourage them to explain their answers and methods to you
To note what they have learnt, or any problems that they have had, so that you can feed these back to the teacher
Presentation slide 5.4

26. Considering the role of the TA during whole-class direct teaching
What was the TA, Jenny, doing to support the pupils during the lesson?
How did she know which pupils to go to?
What resources did she use?
What questions did she ask?
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27. The purpose of questioning
Questioning can be used to:
support pupils in learning how to ‘unpick’ problems
help pupils to extend problems
encourage pupils to make decisions
encourage pupils to work collaboratively
Presentation slide 6.2

28. mention any misunderstandings pupils had in relation to the work
Giving feedback
You could:
mention any misunderstandings pupils had in relation to the work
state how far the pupils got with the activity
list what they found easy and/or hard
mention a pupil who has done particularly well or who has found the work particularly difficult
Presentation slide 6.3