0000000000441776

AUTHOR

G. Roorda

showing 2 related works from this author

Graphing calculator supported instrumentation schemes for the concept of derivative: a case study

2014

This paper reports on the role of the graphing calculator (GC) in the learning of derivatives and instantaneous rate of change. In a longitudinal study, we administered task based interviews before and after the introduction of calculus. We analyzed students’ use of the GC in these interviews. This paper reports on the case of one student, Andy, who is a resilient user of the GC while he develops into a flexible solver of problems on instantaneous rate of change. His case demonstrates that, although the GC is meant to promote the integration of symbolical, graphical and numerical techniques, it can facilitate a learning process in which symbolical techniques develop separately from other te…

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Solving Rate of Change Tasks with a Graphing Calculator: a Case Study on Instrumental Genesis

2016

In an increasing number of mathematics classes throughout the world, technology is being used for the teaching and learning of mathematics. But knowledge is limited about the long-term development of students’ mathematical thinking when learning mathematics with the use of technology. This article reports on the development of a student and the role of the graphing calculator (GC) in his learning about derivatives and instantaneous rate of change. This case is compelling, because the student is an intensive user of the GC and develops flexible problem-solving techniques – techniques which differ from those of his peers and from what he was taught in mathematics class. We used the framework …

Class (computer programming)Process (engineering)Computer scienceGraphing calculator05 social sciencesEducational technology050301 educationInstrumentation schemesDerivativeRate of changelaw.inventionTask (project management)Long-termdevelopmentCalculatorlawSituatedMathematics education0501 psychology and cognitive sciencesInstrumentation (computer programming)Graphing calculatorInstrumentation schemesDerivativeRate of changeLong-term developmentInstrumental genesis0503 educationPeriod (music)Instrumental genesis050104 developmental & child psychologyDigital Experiences in Mathematics Education
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