Shanghai England Maths Research Project WALT Develop pedagogical

Shanghai – England Maths Research Project WALT… • Develop pedagogical knowledge of teachers of mathematics, especially understanding of how Maths is taught for mastery and Shanghai pedagogy. • Implement successfully the Shanghai structural and pedagogical approaches in some/all Y 7/8 classes in our schools. Achieving Excellence Together

Aim High, Aspire, Be Successful • What does a top performing Maths department look like? • What is a Mastery curriculum? • How can we support all children fulfil their potential in Maths? Lead school in Mastery Mathematics Achieving Excellence Together

Background • • Three days in Jincai Experimental Secondary school (Grade 6 – 9) Two days in Yuan Xi Primary school (Grade 1 – 5) Lectures at Shanghai Normal University Shanghai want to learn from us to improve further Achieving Excellence Together

Ethos • • High expectations Student accountability Parental support Strong belief that hard work can change your future Achieving Excellence Together

Ethos Achieving Excellence Together

Ethos Achieving Excellence Together

School Day 7. 30 – 8. 00 – 8. 30 Reading Flag raising and whole school exercise 8. 40 – 9. 20 9. 30 – 10. 10 10. 20 – 10. 30 – 11. 10 11. 20 – 12. 00 Lesson 1 Lesson 2 Eye exercises Lesson 3 Lesson 4 12. 00 Lunch 1. 00 – 1. 35 1. 45 – 2. 20 2. 30 – 2. 40 – 3. 15 3. 25 – 4. 00 Lesson 5 Lesson 6 Eye exercises Lesson 7 Lesson 8 Home Learning Chinese, English and Maths (1 hour each) Achieving Excellence Together

Curriculum ENGLAND SHANGHAI • Detailed programmes of study and lesson content are strategically sequenced. • Learning is broken down into small, connected steps, building from what pupils already know. • Sufficient time is spent on key concepts to ensure that learning is well developed and deeply embedded before moving on. Achieving Excellence Together

Curriculum First year at school… ENGLAND National Curriculum from 5 years old: – Numbers up to 100 – Add and subtract single digits – Measurement – Identify ½ and ¼ – Time – Recognise shapes – Describe position & turn SHANGHAI City-wide curriculum from 6 years old: – Numbers up to 100 – Add and subtract single digits – Recognise shapes – 2, 5, 10 x tables Achieving Excellence Together

Curriculum Secondary School… Achieving Excellence Together

Lesson Design • Key new learning points are identified explicitly. • The whole class is taught mathematics together – no differentiation by acceleration to new content. • Careful scaffolding, skilful questioning and appropriate rapid intervention. Achieving Excellence Together

Teaching with Variations “The central idea of teaching with variation is to highlight the essential features of the concepts through varying the non-essential features. ” Gu, Huang & Marton, 2004 Conceptual Variation Procedural Variation Teacher avoids mechanical repetition and creates an appropriate path for practicing the thinking process with increasing creativity (Gu 2004) ‘Intelligent Practice’. Positive Variation Standard Variation Negative Variation Non-Standard Variation (Differentiation by Depth) One key point, different numbers / unknowns / contexts (trilogy of variations) One key point, one problem, different solutions One key point, different applications Achieving Excellence Together

Classroom Practice • Possible solutions are shared, analyzed and discussed to deepen understanding - ’The answer is only the beginning’. • The teacher is always checking the students’ knowledge and understanding and adjusts the lesson accordingly. • Students pushed all of the time on reasoning to gain depth of understanding. Achieving Excellence Together

Concrete Pictorial Abstract • Contexts and representations are carefully chosen to develop reasoning skills and to help students link concrete ideas to abstract mathematical concepts. Achieving Excellence Together

Closing the Gap ENGLAND SHANGHAI • Gaps in students’ knowledge and understanding are identified early by in-class questioning and by reviewing homework. • They are addressed rapidly through individual or small group intervention, either on the same day or the next day, to ensure all pupils are ready for the next lesson. Achieving Excellence Together

Teacher Research Groups • Teachers discuss their mathematics teaching regularly with colleagues, sharing teaching ideas and classroom experiences in detail and working together to improve their practice. Achieving Excellence Together