Return on investment Step 4 | Resources and research
Resources
Further activities to develop multiplicative thinking can be found in the Learning Progressions resource (particularly pages 35, 37 and 43): Teaching Adults to Make Sense of Numbers to Solve Problems:
Research
As far as we can identify there is no specific research on teaching multiplicative thinking to adults. The studies below were conducted with children but will enhance conceptual understanding of the topic.
Clark, F., & Kamii, C. (1996). Identification of multiplicative thinking in children in grade 1-5. Journal for Research in Mathematics Education, 27, 41-51.
Hurst, C., & Hurrell, D. (2016). Investigating Children’s Multiplicative Thinking: Implications for Teaching. European Journal of STEM Education, 1(3), 1-11.
https://files.eric.ed.gov/fulltext/EJ1167493.pdf
Young-Loveridge, J. (2005). A developmental perspective on mathematics teaching and learning: The case of multiplicative thinking. Teachers and curriculum, 8, 49-59.
https://tandc.ac.nz/index.php/tandc/article/view/83
Young-Loveridge, J. (2005). Fostering multiplicative thinking using array-based materials. Australian Mathematics Teachers, 61(3), 34- 40.
https://eric.ed.gov/?id=EJ743571
Supporting Documents
Introduces and explains the ‘Make Sense of Number to Solve Problems' strand of the Learning Progressions for Adult Numeracy. A practical how-to guide, it covers topics such as how to use the resource and assessment, as well as a range of guided teaching and learning activities to use in class.
- 30 June 2008
Related Content
Return on investment Step 2 | Why is the learner making this mistake?
This section provides a research-based explanation of the conceptual misunderstanding that underpins the mistake.
Error analysis resource
Error Analysis | Return on investment Step 1
This card introduces a common numeracy error that learners make and provides ideas for teaching strategies that may help educators design highly effective learning sessions that develop learners’ understanding.
Return on investment Step 3 | Research-based teaching and learning sequence
Activities to assist learners to develop multiplicative understanding. This teaching and learning sequence will provide a research-based approach that you can use with the learner.