1. It’s good to talk What is our greatest learning resource?

2. Outline Introduction I will give a five minute lecture – you will need to take notes. Students will help you discuss what I have talked to you about. Students share some experiences about their education Give you another five minute lecture. You talk again with eachother. Is there any difference in the nature of the conversations? Conclusions if any.

3. Irrational numbers 1 1 c

4. c is a rational number square both sides rearrange

5. p is either even or odd. p odd then odd. But even. So p even.

6. q is either even or odd. q odd then odd. But even. So q even. contradiction

7. Science and faith Who believes in infinity? There is no such thing as an irrational number or a circle, or any other mathematical construct?

8. Were there any differences? Perception of relative competence. Sort of subject matter. Discuss and report back.

9. Conclusions Is it good to talk? How can we put this at the heart of the educational experience? What is the role of the expert?