As part of individual interviews incorporating whole number and rational number tasks, 323 grade 6 children in Victoria, Australia were asked to nominate the larger of two fractions for eight pairs, giving reasons for their choice. All tasks were expected to be undertaken mentally. The relative difficulty of the pairs was found to be close to that predicted, with the exception of fractions with the same numerators and different denominators, which proved surprisingly difficult. Students who demonstrated the greatest success were likely to use benchmark (transitive) and residual thinking. It is hypothesised that the methods of these successful students could form the basis of instructional approaches which may yield the kind of connected understanding promoted in various curriculum documents and required for the development of proportional reasoning in later years.
- RT @MatthewMaddux: Developing mathematical knowledge for teaching teachers: potentials of history of mathematics in teacher educator traini… 7 months ago
- RT @CERME11_2019: In preparation for the conference, we kindly ask you to send questions about ERME research, questions about ERME itself,… 7 months ago
- Developing mathematical knowledge for teaching teachers: potentials of history of mathematics in teacher educator t… twitter.com/i/web/status/1… 7 months ago
- Looking forward to last day (for me) of the EML 2018 with @deborah_ball. What a wonderful opportunity to study, dis… twitter.com/i/web/status/1… 1 year ago
- RT @A2SchoolsSuper: We ❤️ #TreeTown @A2schools #InspireA2 #A2gether Ann Arbor named best place to live in America - again https://t.co/yRrH… 1 year ago