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W hat does it mean to be creative? What does this look like in maths ?. Development of creativity. Big -C: eminent creativity Little-c: everyday creativity m ini -c: novel and personally meaningful interpretations of experiences, actions and events ( B eghetto & Kaufman).
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What does it mean to be creative? What does this look like in maths?
Development of creativity • Big-C: eminent creativity • Little-c: everyday creativity • mini-c: novel and personally meaningful interpretations of experiences, actions and events (Beghetto & Kaufman)
John Templeton Foundation • Big questions • Exceptional talents • Creativity • Openness • Science and maths
Our challenge • Design environments and tasks that will be appealing to young people who are (probably) already interested in maths in order to develop mini-c (and who knows, little-c and Big-C)
Product Process
3 elements (Amabile) • domain related • creativity relevant • task motivation • resilience • persistence • usually associated with long periods of work and reflection (Sternberg)
Process Conditions Encouraging mathematical creativity What conditions do you associate with being creative? How can we do this on-line?
Writing about creativity • Ill structured open ended questions are helpful (Schoenfeld) • Overcoming fixations - thinking outside the box (Krutetskii) • Problem solving through creative application of knowledge/new approaches (Poincare) • Interplay between problem posing and problem solving (Pollak) • Finding new relationships (Haylock)
11.00 - 12.30 Workshop 1: Cross phase groups 12.30 - 13.30 Lunch 13.30 - 15.00 Workshop 2: Within phase groups 15.00 - 15.30 Final plenary: Dr Rachel Thomas PLUS
Handshakes A man and his partner invite five other couples to dinner. As they enter the house the hosts and their guests shake hands with each other. Not all of them do, for various irrelevant reasons. However, naturally, no guest shakes hands with his or her partner. At dinner the host brings up the question of the handshakes. Going round the table and finding out how many hands he or she shook, he finds that he obtains 11 different answers. How many hands did his partner shake?