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Comparative Study of Teaching Computational Mathematics in Two Different Learning Environments

Maghdid, Dara LU (2016) In Doctoral Theses in Mathematical Sciences 2016:2.
Abstract
This thesis aims to investigate necessary adaptations in the design of a mathematics course when it is transferred from one cultural environment to another. We focus on an elementary course in computational mathematics with Python taught at Lund University, Sweden, and at Soran University, Kurdistan/Iraq. This project holds two main parts. The first part elucidates how the necessary changes in teaching style and teaching content can be determined, how to organize the course for best results and how to apprise learning outcomes. We primarily investigate how variation theory affects the course given in Lund and determine whether it is necessary to modify the way the theory is used when the course is given in Kurdistan. Students in both... (More)
This thesis aims to investigate necessary adaptations in the design of a mathematics course when it is transferred from one cultural environment to another. We focus on an elementary course in computational mathematics with Python taught at Lund University, Sweden, and at Soran University, Kurdistan/Iraq. This project holds two main parts. The first part elucidates how the necessary changes in teaching style and teaching content can be determined, how to organize the course for best results and how to apprise learning outcomes. We primarily investigate how variation theory affects the course given in Lund and determine whether it is necessary to modify the way the theory is used when the course is given in Kurdistan. Students in both environments were interviewed and observed.

The second part shows how different values of mathematics motivate students to study this subject (input) and it also shows students expectation of their future careers (output). We aspire to increase the popularity of mathematics and the motivation among students to choose mathematics as a major. Principally we adapt the curriculum to a more practice oriented view on this subject. We collected data for this part by asking students and mathematicians who are working in companies to fill out questionnaires. Two teaching experiments were conducted in Lund and in Soran in order to collect material for the first part of this study, and another two experiments were used for the second part.

In this thesis, results and conclusions from both parts are presented. Our findings in the first part determined the necessary changes in teaching style and curriculum when we transfer this course to Soran and also determined the changes of the way of teaching. The results also indicate how future experiments in the second part need to be modified. The conclusion of the second part refers to the lack of students’ experienced connection between mathematical concepts and their application in real life problems. Our observation led to the deduction that the experience of the practical use of mathematics increases the interest of bigger student groups in mathematics. The curriculum of some of mathematics courses in Soran should be changed towards applied mathematics. (Less)
Abstract (Swedish)
Popular Abstract in Swedish

I denna avhandling undersöker vi vilka anpassningar som behöver göras i designen av matematikkurser när de överförs från en kulturell miljö till en annan. Vi fokuserar på en kurs i beräkningsmatematik som undervisas på Lunds Universitet i Sverige och som vi under studien överförde till Sorans Universitet i Kurdistan/Irak.

Projektet har två delar. Den första diskuterar hur man kan identifiera vilka ändringar i undervisningens stil, innehåll, organisation och utvärdering som behöver göras för att nå bästa resultat. Den andra delen belyser hur olika värderingar kring matematik påverkar studenters intresse för att studera ämnet och vilka förväntningar matematikstudenter har på sin framtida... (More)
Popular Abstract in Swedish

I denna avhandling undersöker vi vilka anpassningar som behöver göras i designen av matematikkurser när de överförs från en kulturell miljö till en annan. Vi fokuserar på en kurs i beräkningsmatematik som undervisas på Lunds Universitet i Sverige och som vi under studien överförde till Sorans Universitet i Kurdistan/Irak.

Projektet har två delar. Den första diskuterar hur man kan identifiera vilka ändringar i undervisningens stil, innehåll, organisation och utvärdering som behöver göras för att nå bästa resultat. Den andra delen belyser hur olika värderingar kring matematik påverkar studenters intresse för att studera ämnet och vilka förväntningar matematikstudenter har på sin framtida karriär.

Vi har genomfört fyra undervisningsexperiment i Lund och Soran. Under dessa har vi samlat in data på båda platserna genom att intervjua studenter och låta dem svara på frågeformulär. För andra delen av projektet har vi också låtit matematiker som jobbar på företag svara på frågeformulär.

Våra resultat från första delen avgör de nödvändiga ändringar som behöver göras i ovannämnda kurs om den skulle överföras till Soran. Från den andra delen drar vi slutsatser kring studenters brist på upplevd koppling mellan matematik och tillämpningar i verkligheten. Vi drar också slutsatsen att läroplanerna för vissa matematikkurser i Soran borde innefatta mer tillämpad matematik. (Less)
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Assistent Professor Zamorska, Beata, Collegium Da Vinci, Poland.
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Computational mathematics, Teaching style, Variation Theory, Mathematics values, Motivation
categories
Higher Education
in
Doctoral Theses in Mathematical Sciences
volume
2016:2
pages
123 pages
publisher
Lund University / Centre for Mathematical Sciences /LTH
defense location
Lecture hall MH:C, Centre for Mathematical Sciences, Sölvegatan 18, Lund University, Faculty of Engineering
defense date
2016-04-08 13:15:00
external identifiers
  • other:LUTFNA-1009-2016
ISSN
1404-0034
ISBN
978-91-7623-682-6
language
English
LU publication?
yes
id
58f8875e-284d-4d3c-998f-ebd4da332871 (old id 8838851)
date added to LUP
2016-04-01 14:25:42
date last changed
2019-05-21 13:38:03
@phdthesis{58f8875e-284d-4d3c-998f-ebd4da332871,
  abstract     = {{This thesis aims to investigate necessary adaptations in the design of a mathematics course when it is transferred from one cultural environment to another. We focus on an elementary course in computational mathematics with Python taught at Lund University, Sweden, and at Soran University, Kurdistan/Iraq. This project holds two main parts. The first part elucidates how the necessary changes in teaching style and teaching content can be determined, how to organize the course for best results and how to apprise learning outcomes. We primarily investigate how variation theory affects the course given in Lund and determine whether it is necessary to modify the way the theory is used when the course is given in Kurdistan. Students in both environments were interviewed and observed. <br/><br>
The second part shows how different values of mathematics motivate students to study this subject (input) and it also shows students expectation of their future careers (output). We aspire to increase the popularity of mathematics and the motivation among students to choose mathematics as a major. Principally we adapt the curriculum to a more practice oriented view on this subject. We collected data for this part by asking students and mathematicians who are working in companies to fill out questionnaires. Two teaching experiments were conducted in Lund and in Soran in order to collect material for the first part of this study, and another two experiments were used for the second part. <br/><br>
In this thesis, results and conclusions from both parts are presented. Our findings in the first part determined the necessary changes in teaching style and curriculum when we transfer this course to Soran and also determined the changes of the way of teaching. The results also indicate how future experiments in the second part need to be modified. The conclusion of the second part refers to the lack of students’ experienced connection between mathematical concepts and their application in real life problems. Our observation led to the deduction that the experience of the practical use of mathematics increases the interest of bigger student groups in mathematics. The curriculum of some of mathematics courses in Soran should be changed towards applied mathematics.}},
  author       = {{Maghdid, Dara}},
  isbn         = {{978-91-7623-682-6}},
  issn         = {{1404-0034}},
  keywords     = {{Computational mathematics; Teaching style; Variation Theory; Mathematics values; Motivation}},
  language     = {{eng}},
  publisher    = {{Lund University / Centre for Mathematical Sciences /LTH}},
  school       = {{Lund University}},
  series       = {{Doctoral Theses in Mathematical Sciences}},
  title        = {{Comparative Study of Teaching Computational Mathematics in Two Different Learning Environments}},
  volume       = {{2016:2}},
  year         = {{2016}},
}