x plore E

x tend E x plain E

x amine E

Are you interested in sharing your expertise with

other enthusiastic maths teachers?

Join our NCETM funded “4x” project,

“Answering questions and questioning answers”

The focus of this project is on developing pupils’ mastery of the four x’s

•Examining (analysing mathematical arguments)

•Exploring (drawing on mathematical experience)

•Explaining (logically and coherently)

•Extending (going further independently)

Develop your teaching skills by sharing good practice locally and nationally

To find our more contact

Jo Sibley josibley@fmnetwork.org

Keith Noble nobler@poolegrammar.com

What are the qualities we want in our students?

What can we do to develop…..

Mathematical curiosity

Thinking before answering

Appreciation of the method as well as the answer

Self assessment of understanding

Confidence and skill to go further independently

Examine and explore

Explain and extend

Strategies and techniques IT Methods and Examples

How do you know you know?

What is the sign of real understanding?

How do you read mathematics?

Some questions

What are the best questions to ask?

How do we connect our teaching to generate connected learning?

What makes a maths lesson good?

Good ideas

Pupils’ questions Pupil misconceptions

from? come does Where

error?math a give 0

1 doesWhy

?1a isWhy 0

222)( yxyx

yxyx

211

5

3

5

3

x

x

Enjoyment Discussion Ambition

Why do we think it was good?

x plore E

x tend E x plain E

x amine E

Putting it all together to solve problems

Preparing pupils for problem solving?

21

31

41 6

1

121

21

1

31

41

121

11 1

21 1

1 3 3 1

Compare and Contrast these two triangles

Examine and explore Explain and extend

P

Trigonometry Pythagoras Similarity

x

y

How far away is P from the red line?

Connecting different topics

How far away is the red line from O?

D'

A

DB C

Examine the picture

Explore the properties

Explain to yourself and others

Extend the problem

Ask yourself more questions

Ask each other more questions

The sum of the exterior angles

Four x’d this case

What about this case?

Explain the connection