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Triangle inequality and its critical aspects

Konferensbidrag (offentliggjort, men ej förlagsutgivet)
Författare Florenda Gallos Cronberg
Christina Skodras
Publicerad i EARLI Special Interest Group 9: Phenomenography and Variation Theory
Publiceringsår 2016
Publicerad vid Institutionen för didaktik och pedagogisk profession
Språk en
Ämneskategorier Utbildningsvetenskap

Sammanfattning

Triangle inequality and its critical aspects The study discusses our experiences of doing learning study at the university level where the focus is looking into the concept of triangle inequality. The study problematizes as to how critical aspects about triangle inequality could be identified in the classrooms through a mathematical task. It employs a qualitative research design that is non-emergent case study and is guided by the conceptual frameworks of learning study and variation theory. The same task was implemented to different groups of students in three different occassions. The students made use of the available materials to answer questions in the task, like matchsticks and computer applications, and tried to justify their answers mainly based on their constructions. Results showed that identifying the critical aspects on triangle inequality was not attained readily, however, during the whole class discussions the students became more aware of these critical aspects and on justifying their answers in a more generalized form. On the researchers’ perspective, this learning study has no doubt have enhanced the skills on preparing mathematical tasks as well as how the concept of triangle inequality be introduced, defined and discussed in mathematics classrooms.

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