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Intelligent Practice

Intelligent Practice. Embedding intelligent practice into every day teaching. Jonathan Hall: Lead Practitioner School: Leeds City Academy Twitter: @StudyMaths Website: MathsBot.com. Some of my resources. Recent Updates. mathsbot.com/#Manipulatives. Workshop Aims.

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Intelligent Practice

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  1. Intelligent Practice Embedding intelligent practice into every day teaching. Jonathan Hall: Lead Practitioner School: Leeds City Academy Twitter: @StudyMaths Website: MathsBot.com

  2. Some of my resources

  3. Recent Updates mathsbot.com/#Manipulatives

  4. Workshop Aims • Outline three types of practice; ‘SLOP’, ‘Purposeful’ and ‘Intelligent’ and when to use them with our students. • Signpost resources to support all types of practice. • Take a look at how well-designed ‘Intelligent’ practices can steer pupils away from mechanical processes and encourage them to think about the structure of the maths. • An opportunity for you to develop some intelligent practice questions of your own.

  5. Types of practice • S.L.O.P • Purposeful • Intelligent

  6. S.L.O.P (S)hed (L)oads (O)f (P)ractice “Don’t practice until you get it right, practice until you can’t get it wrong.”

  7. MathsBot.com MathsBot – Starter generator MathsBot – Differentiated questions

  8. CorbettMaths.com CorbettMaths – Textbook exercises

  9. taylorda01.weebly.com Dave Taylor - Increasingly difficult questions

  10. S.L.O.P. in 1955

  11. S.L.O.P – Other sources of resources? • Any other S.L.O.P resources? • Write them on a post-it.

  12. Purposeful Practice “Demands focus and intense concentration on a skill or problem beyond the ordinary.”

  13. Median – Don Steward

  14. These squares all have integer length sides.

  15. Starting Points @ChrisMcGrane84 startingpointsmaths.blogspot.com

  16. Multiplication Tables mathsbot.com/tools/timesTables

  17. PP – Other sources of resources? • Any other purposeful practice resources? • Write them on a post-it.

  18. What is Intelligent Practice? A key feature of teaching for mastery is the precise designing of pupil activities and practice questions, so that, rather than pupils repeating a mechanical activity, they are taken down a path where the thinking process is practised with increasing creativity. Through connected calculations, the pupil has the opportunity to think about key concepts. The arrangement of these tasks and exercises draw pupils’ attention to patterns, structure and mathematical relationships, thus providing ‘intelligent practice’ and the opportunity to deepen conceptual understanding. “Memory is the residue of thought” Daniel Willingham

  19. An ‘Intelligent’ sequence @MrMattock • 2 × 3 + 5 × 7 • 2 × 3 + 5 × 9 • 2 × 3 + 5 × 6 • + 5 × 6 • 2 × 3 + 5 × 2 • 2 × 3 + 5 × 3 • 2 × 7 + 5 × 7 • 2 × 12 + 5 × 12 • 2 × 1000 + 5 × 1000 • 2 × 1 million + 5 × 1 million

  20. Fractions • 2 × 3 + 5 × 3 • 2 × ⅓ + 5 × ⅓ I expect the answer to be…because… Encourage vigorous use of correct mathematical language

  21. Collecting Like Terms • 2(x + 1) + 5(x + 1) • 2(x + 1) + 5(1 + x) • 2(x + 1) + 5(x - 1) • x(x + 1) + 5(x + 1) • 2 × 3 + 5 × 3 • 2 × n + 5 × n • 2n + 5n • 2n + 5m • 2(n + 1) + 5(n + 1)

  22. Place Value and Directed number 2 × 3 = 2 × 30 = 2 × 300 = 20 × 3 = 200 × 3 6 × 7 = 6 × 70 = 6 × 700 =

  23. Intelligent Practice Useful Websites

  24. MinimallyDifferent.com @FortyNineCubed

  25. VariationTheory.com

  26. My Turn – Your Turn Linked examples

  27. My Turn – Your Turn A car travel 45 km in 1 hour 15 minutes. Calculate the average speed of the car. A car travel 90 km in 1 hour 15 minutes. Calculate the average speed of the car. A car travel 60 km in 1 hour 30 minutes. Calculate the average speed of the car. A car travel 120 km in 3 hours. Calculate the average speed of the car.

  28. My Turn – Your Turn

  29. My Turn – Your Turn 24 24 6

  30. Your Turn Why have these questions been asked?

  31. Intelligent Design • Choose a topic you know you will be teaching in the near future. • Design a series of questions to ‘intelligently practice’ a topic. • As a leader, how will ensure your department is confident in creating, adapting and using intelligent practice effectively? • Consider when would be the best time to implement intelligent practice in a learning episode.

  32. Key Takeaways @MrBartonMaths • Choosing examples is possibly the most important part of the planning process. • Carefully designed progression and variation in examples and exercises can allow students to make vital connections that develop both procedural fluency and conceptual understanding. • Non-examples can be an effective way of adding clarity and completeness to students’ understanding of a concept.

  33. NonExamples.com NonExamples.com

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