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Explore the importance of a national mathematics policy that focuses on deep understanding, transferable skills, choices, and connectivity. Learn how policy-making can guide classroom learning experiences and improve students' life chances.
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Completing the Square: The Importance of a National Policy for Mathematics 5-19 Jackie Fairchild Assistant Headteacher Gosford Hill School ACME Annual Conference 2011
Understanding for Opportunity Many people say what they want students to be able to do, but far fewer engage with how we can help students to develop the understanding to make this possible.
Deep Understanding • Transfer • Choices • Connectivity
Deep Understanding • Ways of working • All students contribute
Policy Making for Opportunity • Examinations tow teaching because schools are accountable for performance which ultimately affects the life chances of students. • Through policy making, there is an opportunity to guide the learning experiences students have in the classroom. If deep conceptual links are built into policy explicitly then they will find their way into textbooks, into the classroom and onto examination papers.
A Curriculum of Opportunity • Curriculum focus on core concepts • Connectivity emphasised explicitly • Exam questions • Published resources
Functional Skills: Friend or Foe • Procedural • Unrealistic contexts on mathematics papers • The subjects across the curriculum give natural ways of applying mathematics in context • Apply and examine mathematical functionality in useful and agreed contexts across the curriculum • Equal opportunity
My Priorities for Deep Understanding • Students generate their own examples
My Priorities for Deep Understanding • Students generate their own examples • Equivalence
My Priorities for Deep Understanding • Students generate their own examples • Equivalence • Shifting from one form of representation to another • Understanding the laws of arithmetic and how these are generalised in algebra • Generalising