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Att testa förståelse för vektorbegreppet i gymnasiets matematikkurs
Jönköping University, School of Education and Communication, HLK, School Based Research, Mathematics Education Research.
Jönköping University, School of Education and Communication, HLK, School Based Research, Mathematics Education Research.
2013 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
To test understanding of the vector concept in high school mathematics courses (Swedish)
Abstract [sv]

Några av de ändringar som gjordes 2011 i läroplanen för gymnasieskolan var att vektorer lades in i det centrala innehållet för ämnesplanen Matematik 1c. Denna studie behandlar utformandet av uppgifter som testar elevers förståelse för vektorbegreppet där urvalet omfattar gymnasieelever som har läst eller läste kursen Matematik 1c inom perioden för uppsatsen. Metoden som användes var semistrukturerade intervjuer där uppgifterna agerade frågor och eleven fick svara på följdfrågor så att tankebanor, funderingar och hinder skulle kunna observeras.

Svaren som eleverna har gett på de uppgifterna har skapat ett brett spektrum av olika svar, en svarsrymd. Denna svarsrymd har sedermera blivit svarsalternativen till det slutliga test som studien har arbetat fram. Testet har således beprövade uppgifter som är skapade med en rad olika områ-den som utgångspunkter. Utgångspunkterna, tillika inspirationen och stödet i uppgiftsskapande, har varit gymnasieskolans läroplan, ämnesplanen för matematik 1c samt forskning kring möjligheter och hinder i förståelsen för vektorbegreppet. I utformandet såväl som under insamlandet av data har revideringar gjorts och vi har uppmärksammat de hinder och tankar som eleverna haft, som också då finns att tillgå.

Abstract [en]

Some of the changes made in 2011 in the curriculum of secondary schools was that vectors were added to the central content to the plan of the subject Mathematics 1c. This study deals with the design of exercises that test students' understanding of the vector concept, where the selection in the study includes high school students who have read or are reading the course Mathematics 1c within the period of the thesis. The method used was semi-structured interviews where exercises acted as questions and the student had to answer attendant questions, this to observe the students' thoughts, speculations and hindrances.

The responses that students gave to the exercises created a wide range of different answers, a space of different responses. This space of different responses became available choices to the exercises in the final test, that the study have brought forth. The test has thus created well-tried exercises that were created with a variety of starting points. The starting points in the task of creating the exercises took inspiration and support from the high school curriculum as well as the plan of the subject Mathematics 1c alongside research about opportunities and hindrances in the understanding of the vector concept. During the creation as well as during the collection of data, changes has been made to the test and we have observed the hindrances and thoughts that the students had, which is available in this thesis.

Place, publisher, year, edition, pages
2013. , 28 p.
Keyword [en]
vector, mathematics, high school, design of exercises
Keyword [sv]
vektor, matematik, gymnasieskolan, utformning av uppgifter
National Category
Didactics
Identifiers
URN: urn:nbn:se:hj:diva-21027OAI: oai:DiVA.org:hj-21027DiVA: diva2:618809
Subject / course
HLK, Mathematics for teaching and learnin
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2013-06-11 Created: 2013-04-30 Last updated: 2013-06-11Bibliographically approved

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