dc.contributor.author | Lien, Ånund | |
dc.date.accessioned | 2016-09-30T12:51:18Z | |
dc.date.available | 2016-09-30T12:51:18Z | |
dc.date.issued | 2016 | |
dc.identifier.uri | http://hdl.handle.net/11250/2412285 | |
dc.description | Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 | nb_NO |
dc.description.abstract | This text answers two research questions.
The first research question is about how three different textbooks for grade 10 presents the
Pythagorean theorem through different representations. These representations are geometric,
algebraic and textual. The textbooks are Tetra, Faktor and Maximum. The precision of
individual representations and the precision between representations is studied. The
chronology in the presentation of the representations has also been studied. The conclusion is
that the textbooks have different presentations of the Pythagorean theorem. A geometric
representation is presented first in all three textbooks.
The second research question concerns to what extent a student in grade 10 makes sense of
the Pythagorean theorem with respect to how the textbook Tetra presents the theorem. The
focus is on the sensemaking of the Pythagorean theorem, relative to a geometric proof and
estimation of an unknown length of a side of a right-angled triangle in pure mathematical and
semi-real tasks. The conclusion is that a student makes varied sense of the Pythagorean
theorem, relative to the examined components. | nb_NO |
dc.language.iso | nno | nb_NO |
dc.publisher | Universitetet i Agder ; University of Agder | nb_NO |
dc.subject | pythagoras teorem | nb_NO |
dc.subject | matematikkundervisning | nb_NO |
dc.subject | ungdomstrinnet | nb_NO |
dc.subject | lærebøker | nb_NO |
dc.subject.classification | MA502 | |
dc.title | Pytagoras si setning på 10. trinn : ei analyse av tre lærebøkers framstilling og ein elevs bruk av ei av lærebøkene | nb_NO |
dc.type | Master thesis | nb_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410 | nb_NO |
dc.subject.nsi | VDP::Social science: 200::Education: 280::Subject didactics: 283 | nb_NO |
dc.source.pagenumber | 125 s. | nb_NO |