Useless brackets in arithmetic expressions with mixed operations
2012 (English)In: Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education / [ed] T.Y. Tso, The International Group for the Psychology of mathematics Education , 2012, 2-275-2-282 p.Conference paper, Presentation (Refereed)
There can be different intentions with brackets in mathematical expressions. It has previously been suggested that mathematically useless brackets can be educationally useful when learning the order of operations in expressions with mixed operations. This paper reports how students (12-13 years) deal with the implicit mental conflict between brackets as a necessary part of the order of operations and brackets to emphasize precedence. The students taking part in this quasi-experimental study were instructed on the order of operations, but were also indirectly exposed to different use of brackets. It is concluded that emphasizing brackets impede the transfer from a left-to-right computation strategy to the use of precedence rules.
Place, publisher, year, edition, pages
The International Group for the Psychology of mathematics Education , 2012. 2-275-2-282 p.
IdentifiersURN: urn:nbn:se:hj:diva-19085OAI: oai:DiVA.org:hj-19085DiVA: diva2:542328
PME36, the 36th Conference of the International Group for the Psychology of Mathematics Education, Taipei, July 18-22, 2012