Presentation on theme: "What is great teaching and how to get it"— Presentation transcript:
1 What is great teaching and how to get it ‘Developing primary teachers’ maths skills… educating not training - a sample of the Primary Maths Programmes funded by the London Schools Excellence FundRuth Williams, Lampton School’Ruth Williams SLE
3 What is number sense?The term "number sense" is a relatively new one in mathematics education. It is difficult to define precisely, but broadly speaking, it refers to "a well organised conceptual framework of number information that enables a person to understand numbers and number relationships and to solve mathematical problems that are not bound by traditional algorithms" (Bobis, 1996).
4 1. Dot arrangementConsider each of the following arrangements of dots. What mental strategies are likely to be prompted by each card? What order would you place them in according to level of difficulty?
5 2. My NumbersNumber of miles on my odometer Number of sisters I have How old my car is Number of cats I’d like to have My door number Number of years I lived in my house
6 Arithmetic Proficiency Arithmetic Proficiency: achieving fluency in calculating with understandingAn appreciation of number and number operations, which enables mental calculations and written procedures to be performed efficiently, fluently and accurately.
7 Arithmetic Proficiency Arithmetic Proficiency: achieving fluency in calculating with understandingPublic perceptions of arithmetic often relate to the ability to calculate quickly and accurately – to add, subtract, multiply and divide, both mentally and using traditional written methods.But arithmetic taught well gives children so much more than this. Understanding about number, its structures and relationships, underpins progression from counting in nursery rhymes to calculating with and reasoning about numbers of all sizes, to working with measures, and establishing the foundations for algebraic thinking.Ofsted report – Good practice in primary mathematics
17 What is great teaching and how to get it Situations seen:Theme of lesson: Calculate squares, cubes and rootsExtending the most able: Use the 6 laws of indicesRuth Williams SLE
18 What is great teaching and how to get it Ruth Williams SLE
19 Final Thought:“Asking a student to understand something means asking a teacher to assess whether the student has understood it.But what does mathematical understanding look like? One hallmark of mathematical understanding is the ability to justify, in a way appropriate to the student’s mathematical maturity, why a particular mathematical statement is true or where a mathematical rule comes from.”