TRIGONOMETRI

Detta är en Kandidat-uppsats från Göteborgs universitet/Institutionen för matematiska vetenskaper

Sammanfattning: This literature review compiles research related to students' conception, obstacles and problems with trigonometry as well as teacher resources that can be used to develop students' understanding in the field. The research spans year 6 through university courses. The following issues and questions guided the study: ● What concept image and definitions do students possess of trigonometry? Which challenges and obstacles do students face when doing trigonometry? ● Is there a case of a historical application of trigonometry? ● What teacher resources can be used to support students in their trigonometric work? The historical application depicted in this work is a brief treatise on spherical trigonometry. Some of the primary results are that students with traditional education may develop fragmented views of trigonometry. The elements of trigonometry require a multi-facetted view of mathematical terms as both processes and objects. Furthermore, the study presents a set of suggestions for lesson plans and a categorization of trigonometric representations and student models of objects in trigonometry. The process of measuring an angle, either by using arcs or protractors, may form the basis for understanding the sine and cosine functions as internalized geometric processes rather than external, instrumental, algorithmic actions.

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