4. Principle 2 - I try to avoid the Split-Attention Effect

4. Principle 2 - I try to avoid the Split-Attention Effect

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3. Making the most of worked examples

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Introduction

  • 1. Introduction to the course
  • Image: My model of a Learning Episode
  • 2. Getting the most out of the course
  • 3. Where are you at?

What my worked examples used to look like... and why I changed my mind

  • 1. Research into worked examples
  • Link: My research collection
  • Podcast: Greg Ashman interview
  • Research: Example‐Based Learning: New Theoretical Perspectives and Use‐Inspired Advances to a Contemporary Instructional Approach
  • 2. Four mistakes I used to make
  • 3. Principle 1 - I atomise
  • 3a. What is Atomisation?
  • 3b. Prerequisite knowledge
  • 3c. An example of Atomisation
  • Image: My process of Atomisation
  • Link: Diagnostic Questions
  • Activity: What is a factor?
  • 4. Principle 2 - I try to avoid the Split-Attention Effect
  • Link: Research papers on Cognitive Load Theory
  • 5. Principle 3 - I am more careful with discussions
  • 6. Principle 4 - I try to ensure my students are actively involved (Self-Explanation Effect)
  • Link: Research papers on the Self-Explanation Effect
  • Podcast: Ollie Lovell interviews Alexander Renkl
  • 6a. Time and the double-pause of questioning
  • Image: The double pause of questioning
  • 6b. Creating the right conditions
  • 6c. Providing support
  • Image: Student prompt cards - different sizes
  • Resource: Student prompt cards - editable
  • Resource: Student prompt cards - editable from George Stone
  • Resource: Student Prompt cards from Laura Conroy
  • 7. Summary of my four principles

The set-up

  • 1. Where do Example-Problem Pairs fit in?
  • Image: My model of a Learning Episode
  • 2. What my board looks like

Stage 1 - Silent Teacher

  • 1. Silent Teacher - the set-up
  • Image: Silent Teacher behaviour
  • 2. Silent Teacher - the experience
  • 3. Silent Teacher extra!
  • 4. What do teachers say?
  • 5. What do students say?

Stage 2 - Narration

  • 1. Narration - the experience
  • Image: Narration behaviour
  • 2. Narration - what other schools do
  • Examples from Simon Garrett

Stage 3 - Read the maths

  • 1. Do your students copy down worked examples?
  • 2. Issues with copying down worked examples
  • 3. Read the maths - the experience
  • Image: Read the maths behaviour
  • Blog: The beauty of annotating
  • 4. Read the maths - what other schools do

Stage 4 - Your Turn

  • 1. Your Turn - the experience
  • 2. The purpose of Your Turn
  • Image: Your Turn behaviour
  • Image: Your Turn prompts if finished
  • Image: Your Turn prompts for paired discussion
  • 3. Your Turn - what other schools do

Stage 5 - Show Call

  • 1. Show Call - the experience
  • Podcast: Doug Lemov interview
  • Podcast: Ollie Lovell interview
  • Image: Show Call behaviour (mistake)
  • Image: Show Call behaviour (excellence)
  • 2. What other schools do
  • 3. Capturing the images
  • Using Show-Call when teaching online

Reflection

  • 1. Timings
  • 2. Putting it all together
  • Image: The 5 stage Example-Problem Pair process
  • Resource: Example-Problem Pair (blank) by Nathan Day
  • Resource: Example-Problem Pair (example) by Nathan Day

Feedback

  • 1. Feedback from teachers
  • Blog: A first attempt at silent teacher by Miss Olive
  • Tweet: An example of the 5 stage process for quadratic graphs
  • 2. Feedback from students

What do other schools do?

  • 1. Tweaks
  • 2. Fading
  • Website: Berwick Maths
  • 3. Departmental planning
  • 4. One-to-one support
  • 5. Notes book
  • 6. Written feedback
  • 7. Example-Problem Pairs in other subjects
  • Resource: Worked examples GCSE / IGCSE Mathematics

FAQs

  • 1. Telling students what to do feels like cheating
  • 2. This must take ages
  • 3. How does it work for shorter examples?
  • 4. How does it work for longer examples?
  • 5. Does it work for everything?
  • 6. Does it tie me to certain methods?
  • 7. What if I want to show my students more than one method?
  • 8. Where is the why?
  • 9. Do you do this every lesson?
  • 10. Your students are not actively engaged
  • 11. Where is the differentiation????
  • 12. I am doing this already!

Moving forward

  • 1. Tips from teachers who have made this work
  • 2. Planning our own Example-Problem Pair

An alternate approach!

  • 1. What Michael Pershan does
  • Podcast: Michael Pershan on worked examples
  • Link: Michael Pershan's post on worked examples
  • 2. The resources
  • Link: Algebra by Example
  • Link: Math by Example
  • 3. Where does this approach fit in?

Useful links - from others

  • Video: Creating Effective Lessons the Easy way with Dr. Fred Jones
  • Clare Sealy's blog on using worked examples in a primary context
  • Emma McCrea's presentation about worked examples
  • Ollie Lovell interview with John Sweller about worked examples
  • Greg Ashman's blog post on Example-Problem Pairs
  • Research: Example‐Based Learning: New Theoretical Perspectives and Use‐Inspired Advances to a Contemporary Instructional Approach

Conclusion

  • 1. Where to next?
  • 2. Wrap up
  • Feedback form
  • Course certificate
  • My online courses

Useful links - from me

  • My research paper collection
  • Book: How I wish I'd taught maths
  • Book: Reflect, Expect, Check, Explain
  • Mr Barton Maths website
  • Mr Barton Maths Podcast
  • Diagnostic Questions
  • Variation Theory
  • SSDD Problems
  • Maths Venns