MathsJKPS Parents Workshop Wednesday 4 th October 2017

Maths@JKPS Parents’ Workshop Wednesday, 4 th October 2017 Mathematics…is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. ’ (National Curriculum 2014)

Today’s session Part I • JKPS Mathematics Curriculum and Assessment Part II • How do we teach mathematics at JKPS? • The CPA approach • Mastery Part III • How can you support your child?

Where does our curriculum come from? https: //mathsnoproblem. com https: //www. gov. uk/government/publications/national-curriculum-inengland-mathematics-programmes-of-study

Early Years (Reception)

KS 1 Curriculum

Lower KS 2 Curriculum

Upper KS 2 Curriculum

Each year group has a range of mental maths objectives to cover during the year. Children should be proficient in these at the end of the year.

When is mathematics taught? Maths is taught daily throughout the school. Lessons typically comprise of a mental maths starter activity (e. g. counting, number bonds, times tables etc. ), teacher introduction and then independent or group activities. Where there are opportunities, maths is also taught in other areas of the curriculum (e. g. science, humanities or art).

How do we assess the children? Statutory assessments: • Year 2 SATS • Year 6 SATS Formative assessments: • Teachers use a variety of techniques on a daily basis to assess the children – observations, questioning, marking etc. Summative assessments: • Weekly mental maths tests • Half-termly mental arithmetic tests • Termly assessments

How do we teach mathematics? The concrete, pictorial, abstract (CPA) approach – a highly effective approach to teaching that develops a deep and sustainable understanding of maths. Developed by Jerome Bruner, an American psychologist, the CPA approach is the mainstay of maths teaching in Singapore. • a gradual and systematic approach which builds on a child’s existing understanding • effective way of teaching abstract concepts (such as fractions) • provides children with a conceptual understanding of mathematics

The CPA approach Concrete Pictorial Abstract

So how does it work? . . .

So how does it work? . . .

Developing mental strategies… How could you work out…

Long division How could you work out…

What is mastery? Secure progress in learning maths is based on developing procedural fluency and a deep understanding of concepts in parallel, enabling connections to be made between mathematical ideas. Without deep learning that develops both of these aspects, progress cannot be sustained. (Charlie Stripp, NCTEM) Teaching maths for mastery is a transformational approach to maths teaching which stems from high performing Asian nations such as Singapore. When taught to master maths, children develop their mathematical fluency without resprting to rote learning and are able to solve non 0 routine maths problems without having to memorise procedures. Helps pupils develop a deep, long-term and adaptable understanding of mathematics An inclusive approach where all children achieve Slower pace that leads to greater progress

Maths Reasoning - Strategies How could this be applied to a simple number sentence? 23 + 42 = 65 What questions could you ask a child that would encourage a deeper understanding? How do you know this is correct? Will it always be correct? Can you model it using pictures/ objects? Does it tell us any other facts? How do you know?

Part III: How can you support your child at home? Mental arithmetic: times tables and number bond practise. Find mathematics opportunities in a real life context – Telling the time Reading time tables/ tv schedules Counting money/ finding change Counting activities Cooking (e. g. weighing ingredients) Measuring Shapes around the home

Resources https: //www. ncetm. org. uk/ https: //nrich. maths. org/ https: //www. mathlearningcenter. org/web-apps/number-pieces/ http: //www. taw. org. uk/lic/itp/ - interactive teaching programmes