dc.contributor |
Graduate Program in Secondary School Science and Mathematics Education. |
|
dc.contributor.advisor |
Karagöz Akar, Gülseren. |
|
dc.contributor.author |
Saraç, Merve. |
|
dc.date.accessioned |
2023-03-16T11:30:43Z |
|
dc.date.available |
2023-03-16T11:30:43Z |
|
dc.date.issued |
2016. |
|
dc.identifier.other |
SCED 2016 S37 |
|
dc.identifier.uri |
http://digitalarchive.boun.edu.tr/handle/123456789/15568 |
|
dc.description.abstract |
In thisstudy,Iarticulatehowaprospectivesecondarymathematicsteacher reconstructs complexnumbersuponthesetofrealnumbersinthecontextofthe solution setsofquadraticequations.Previousresearchhasindicatedthatonceasked the meaningof x and y in theCartesianformofacomplexnumberwhichisformally de ned as x + iy where x and y are realnumbers,bothstudentsandteacherswere able tostatethat x and y are realnumbers,yetconsideredthemseparatelyrather than beingcomponentsofasingleentity.Thus,thequestionarisesastowhat x and y refer toalgebraicallyandgeometrically;why x and y havetoberealnumbersand what itmeanstobeanelementofthesetofcomplexnumbers.Thisstudyexplicates a prospectivesecondarymathematicsteacher'sanswerstothesequestionsthroughthe articulation oftheparticipant'squantitativereasoningbyconsideringSfard's(1991) theory onthedualnatureofthemathematicalconceptions.Withthisaccount,Iintend to contributetomathematicseducationbyprovidingevidenceonhowthedevelopment of theelementsofcomplexnumbers,whichisthroughshrinking/stretchingofthe distance(s) betweentherootsandthex-coordinateofthevertexofanyquadratic functions' graph,a ordsconceptualizinganycomplexnumberasasingleentityina well-de nedsetratherthanonlyanalgebraicprescriptionofcertainoperations.As the resultoftheinstructionalsequenceinthisstudy,theparticipantpresentsthiswell- de ned setasthesetconsistingoftherootsofquadraticequationswithrealcoe cients. |
|
dc.format.extent |
30 cm. |
|
dc.publisher |
Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016. |
|
dc.subject.lcsh |
Mathematics teachers. |
|
dc.subject.lcsh |
Numbers, Complex -- Study and teaching (Secondary) |
|
dc.title |
A prospective secondary mathematics teachers's development of the meaning of the cartesian form of complex numbers |
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dc.format.pages |
xviii, 151 leaves ; |
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