2. 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.orgjosibley@fmnetwork.org Keith Noblenobler@poolegrammar.comnobler@poolegrammar.com

3. 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 ITMethods and Examples

4. 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?

5. What makes a maths lesson good? Good ideas Pupils’ questions Pupil misconceptions Enjoyment Discussion Ambition Why do we think it was good?

7. Putting it all together to solve problems Preparing pupils for problem solving?

8. Compare and Contrast these two triangles Examine and exploreExplain and extend

10. P Trigonometry PythagorasSimilarity x y How far away is P from the red line? Connecting different topics How far away is the red line from O?

11. Examine the picture Explore the properties Explain to yourself and others Extend the problem Ask yourself more questions Ask each other more questions

12. The sum of the exterior angles Four x’d this case What about this case? Explain the connection