Multiplicative Thinking – PLC Resources 16th May

The Learning Assessment Framework for Multiplicative Thinking
http://www.education.vic.gov.au/Documents/school/teachers/teachingresources/discipline/maths/assessment/lafcomparativ.pdf

http://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/learnassess.aspx

Scaffolding Numeracy in the Middle Years
http://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/learnassess.aspx

Common Misunderstandings – Multiplicative Thinking
http://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/Pages/learnassess.aspx

Newman’s Error Analysis – You will need to log in to PAT Teaching Resources (email as user name)
https://oars.acer.edu.au/norwood-primary-school Then go to Teacher Resources

Multiplication and Division – Maths Assessment Project
http://map.mathshell.org/download.php?fileid=1592

Multiplicative Thinking Tasks

https://aare.edu.au/data/publications/2006/sie06375.pdf

Our learning progression brainstorm (using Multiplicative Thinking article):

Content:

  • counting and splitting
  • skip counting
  • large collections
  • repeated addition (2s, 5s, etc.)
  • repeated subtraction
  • hold both numbers in head – number of objects within each group and number of groups
  • hold both numbers and the total
  • visualise 3×4, 4×3 move from additive to multiplicative strategies
  • factors, product – arrays
  • multiplication and division – commutative, inverse relations
  • language develops – for each, times, as many
  • symbolic representation, diagrams

Implications for teaching/ learning

Pedagogy:

  • Developing opportunities for students to use effective strategies – arrays
  • Challenge to show different ways
  • Communicate – in different ways
  • Explicit role modelling
  • Language used by students – allow opportunities for talk, and for listening in to hear their language (gaining insight into their thinking)
  • Variety of representations – words, pictures, symbols
  • Moving from familiar to unfamiliar contexts
  • Questioning and enabling prompts
  • Allow opportunities for collaboration
  • Think boards
  • Visualisation – drawing how they see the problem

 

 

Print Friendly, PDF & Email

Leave a Reply

Your email address will not be published. Required fields are marked *