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Towards an international lexicon
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In: ISSN: 1863-9690 ; EISSN: 1863-9704 ; ZDM ; https://hal.archives-ouvertes.fr/hal-03625972 ; ZDM, Springer Verlag, 2022, ⟨10.1007/s11858-022-01349-3⟩ (2022)
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The lexicon project: Examining the consequences for international comparative research of pedagogical naming systems from different cultures
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In: CERME 10 ; https://hal.archives-ouvertes.fr/hal-01938196 ; CERME 10, Feb 2017, Dublin, Ireland (2017)
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An investigation of the effects of a graphics calculator based approach on the learning and teaching of year 8 equation solving
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Abstract:
Master of Education ; In the middle years of schooling, the topic of equation solving generally begins teaching students how to find solutions to linear equations using traditional by-hand techniques. This is a student's first formal introduction to algebraic equation solving and many master the techniques involved, however, few students acquire a conceptual understanding of the notion of a solution or the solution process. A graphics calculator is capable of plotting a function, generating a table of values and testing whether a number is a solution to an equation, all in a matter of moments. They are currently used in VCE mathematical studies and examinations. The aim of this investigation is to study the effects of a graphics calculator based approach on the learning and teaching of equation solving. This approach involved constant access, by an experimental group, to a TI-83 graphics calculator. A graphics calculator based approach to equation solving may assist students in developing a better understanding of the key concepts and solving techniques, and the application of these to the solution of problems. Constant access to graphics calculators in the classroom may allow students who lack pen-and-paper techniques the opportunity to reason mathematically about problems and mathematical ideas. To accomplish this aim a classroom-based study was conducted in a Melbourne metropolitan school. An experimental-control design was used with the four year eight classes of two teachers. Each teacher taught a control and experimental (graphics calculator) class. The study examined the achievement of the two treatment groups with pre and post-tests. Test performances of all students were compared and analysed to determine the benefits from the various instructional techniques. It was found that there were no significant differences between treatment groups and the only significant difference was between the teachers of the study. It was also found that low ability students, from the graphics calculator environment, made the largest gains. Although no statistical differences were found, students in the experimental group were more successful with questions involving graphs and tables while the students in the control group were better at solving equations by hand.
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Keyword:
Data processing; Equations; Graphic calculators; Mathematics; TI-83 (Calculator)
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URL: http://hdl.handle.net/11343/42958
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