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4x. Answering questions. 4x. Questioning answers. 4x. 4x. Are you interested in sharing your expertise with other enthusiastic maths teachers?. Join our NCETM funded “4 x ” project, “Answering questions and questioning answers”.
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4x Answering questions 4x Questioning answers 4x 4x
Are you interested in sharing your expertise with other enthusiastic maths teachers? Join our NCETM funded “4x” project, “Answering questions and questioning answers” Develop your teaching skills by sharing good practice locally and nationally • 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) To find our more contact Jo Sibley josibley@fmnetwork.org Keith Noble nobler@poolegrammar.com
4x 4x What are the qualities we want in our students? What can we do to develop….. Mathematical curiosity Thinking before answering Examine and explore Appreciation of the method as well as the answer Self assessment of understanding Confidence and skill to go further independently Explain and extend 4x 4x Strategies and techniques IT Methods and Examples
4x 4x Some questions How do you know you know? What is the sign of real understanding? How do you read mathematics? What are the best questions to ask? How do we connect our teaching to generate connected learning? 4x 4x
4x 4x What makes a maths lesson good? Why do we think it was good? Good ideas Pupils’ questions Pupil misconceptions 4x 4x Enjoyment Discussion Ambition
4x Teachers 4x 4x 4x Pupils
4x 4x Putting it all together to solve problems Preparing pupils for problem solving? 4x 4x
Compare and Contrast these two triangles Examine and explore Explain and extend
y P x Connecting different topics How far away is P from the red line? How far away is the red line from O? Pythagoras Similarity Trigonometry
Examine the picture Explain to yourself and others Explore the properties Extend the problem Ask yourself more questions Ask each other more questions
The sum of the exterior angles Four x’d this case Explain the connection What about this case?