Presentation slide 1.1 Playing board for the game Crooked rules..... TenthsUnitsTensPlayer Player A...

Presentation slide 1.1

Playing board for the game Crooked rules

.

.

.

.

.

TenthsUnitsTensPlayer

Player A

Player B

Player C

Player D


The mathematics strand of the secondary national strategy for school improvement – key principles

• Expectations

• Progression

• Engagement

• Transformation


Some features of the mathematics strand of thesecondary 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


A typical structured mathematics lesson

Oral and mental starter

Main teaching activity

Plenary

Whole-class work to rehearse, sharpen and develop mental skills, including visualisation, thinking and communication skills and recall of facts

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

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 10 minutes

25 to 40 minutes

5 to 15 minutes


Structure of the Framework for secondary mathematics

The five strands of progression:

1. Mathematical processes and applications

2. Number

3. Algebra

4. Geometry and measures

5. Statistics


Work out the total


Marie’s sum

This is the calculation Marie was asked to do:

+ 6.3 = 10

She wrote: 4.7 + 6.3 = 10


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?


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”


How would you tackle these calculations?

23 – 9

34 + 13 + 60 + 27 + 16

4353 + 857

2003 – 1998


Considering how you did the calculations

How did you work out each calculation?

What different methods were used?



Working out totals

15 + 27 + 25

24 + 37 + 18 + 26 + 13

£2.54 + £2.67 + £1.46

8.7 + 5.6 – 6.7


Working out the totals

47 + 76 =

= (40 + 7) + (70 + 6)

= (40 + 70) + (7 + 6)

= 110 + 13 = 123

or

47 + 70 = 117

117 + 6 = 123

125 + 238 =

= (100 + 20 + 5) + (200 + 30 + 8)

= (100 + 200) + (20 + 30) + (5 + 8)

= 300 + 50 + 13 = 363


Horizontal recording

17 + 3 =

45 x 2 =

254 – 55 =

83 7 =


Vertical and horizontal recording

365– 99

365 – 99


Target board

25 30 44 7 38

41 52 3 43 27

34 37 45 8 31

17 9 36 28 54



15 x 4

32 x 7

67 x 24

1568 14


Multiplication and division

34 x 20

36 x 5

64 4

84 14


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 430

812032

152

38X4

120+32

152

(30 x 4)(8 x 4)


Grid method of multiplication

23 x 42 = (20 + 3) x (40 + 2)

x 3

920

46

20

966

800

40

120

6

40

2

23 x 42 = 966


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?


The role of the TA in the oral and mental starter

• 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

The TA can help pupils to take part in the oral and mental starter by:


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?


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


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?


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


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 1.1 Playing board for the game Crooked rules..... TenthsUnitsTensPlayer Player A...

Documents

Transcript of Presentation slide 1.1 Playing board for the game Crooked rules..... TenthsUnitsTensPlayer Player A...