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Part time PGCE

Part time PGCE. Introduction to Mathematics. Frogs and toads. Activity: To swap over the frogs and toads Rules: You may either: - slide one square into an empty space hop one frog/toad over one other frog/toad into an empty space Aim:

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Part time PGCE

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  1. Part time PGCE Introduction to Mathematics

  2. Frogs and toads • Activity: • To swap over the frogs and toads • Rules: • You may either: - slide one square into an empty space • hop one frog/toad over one other frog/toad into an empty space • Aim: • To find the rule for determine the minimum number of moves for any numbers of frogs and toads. • Possible steps: • What is the minimum for 2 frogs and 2 toads? How many slides & hops? • How about 3 of each/ 4 of each etc? • How about 2 frogs and 3 toads? • What patterns are there?

  3. For discussion • Have you solved the problem? • Have you finished the investigation or is there something else you could do? • What helped/hindered you in solving the problem?

  4. A Model for the Primary Mathematics Curriculum • Facts • Skills • Concepts • Processes • Situations • Attitudes Shuard,H. (1986) Primary mathematics today and tomorrow York:SCDC

  5. David Burghes Mathematics Enhancement Project 1997 In his survey, Year 7 / 8 pupils were asked: ‘What do you think are the good qualities of the best maths teacher you ever had? They gave answers such as: • Patience • Sense of humour • Give individual help • Does not move on too quickly • Checks and helps understanding • Approachable and caring • Makes mathematics enjoyable and fun • Strict and good control of the class • Doesn’t get cross if pupils do not understand • Listen • …..but, by far the most frequent response was gives clear explanations

  6. Independent Study Tasks Task 1 • Jennings, S.F. (2006) ‘Personal development plans and self-directed learning for healthcare professionals: are they evidence based?’ Postgraduate Medical Journal. 83 pp. 518-524. Available at http://pmj.bmj.com (Accessed: July 7th , 2010) • Wilcox, S.W. (1996) ‘Fostering self-directed learning in the university setting.’ Studies in Higher Education. 21(2) pp173-176 What are the key messages about independent study? Task 2 • Read extracts from:  Williams, P. (2008) Review of Mathematics Teaching in Early Years Settings and Primary Schools What are the key messages about attitudes towards mathematics?

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