Themes within lecturers' views on the teaching of linear algebra

This paper reports on themes that arose in an investigation of university lecturers' views on the teaching of linear algebra. This focus on themes was the initial part of a study concentrating on four areas: What is important to teach in a first course in linear algebra? Are there teaching meth...

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Published inInternational journal of mathematical education in science and technology Vol. 52; no. 1; pp. 107 - 123
Main Authors Rensaa, Ragnhild Johanne, Hogstad, Ninni Marie, Monaghan, John
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 02.01.2021
Taylor & Francis Ltd
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Online AccessGet full text
ISSN0020-739X
1464-5211
1464-5211
DOI10.1080/0020739X.2019.1668976

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Abstract This paper reports on themes that arose in an investigation of university lecturers' views on the teaching of linear algebra. This focus on themes was the initial part of a study concentrating on four areas: What is important to teach in a first course in linear algebra? Are there teaching methods which are particularly suited for such a course? Are there tools that should/should not be used; and do the answers to these questions vary according to the degree (Engineering or Mathematics) the students follow? Questionnaire data was coded using thematic analysis which generated 11 themes related to the four questions above. The Results section presents the themes. The Discussion section considers the themes as a whole; splits - dualities - in teaching linear algebra; students' challenges with abstraction; aspects of doing mathematics; and pedagogical issues.
AbstractList This paper reports on themes that arose in an investigation of university lecturers' views on the teaching of linear algebra. This focus on themes was the initial part of a study concentrating on four areas: What is important to teach in a first course in linear algebra? Are there teaching methods which are particularly suited for such a course? Are there tools that should/should not be used; and do the answers to these questions vary according to the degree (Engineering or Mathematics) the students follow? Questionnaire data was coded using thematic analysis which generated 11 themes related to the four questions above. The Results section presents the themes. The Discussion section considers the themes as a whole; splits - dualities - in teaching linear algebra; students' challenges with abstraction; aspects of doing mathematics; and pedagogical issues.
Audience Higher Education
Postsecondary Education
Author Rensaa, Ragnhild Johanne
Monaghan, John
Hogstad, Ninni Marie
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10.1191/1478088706qp063oa
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10.1007/978-3-319-66811-6_10
10.1016/j.jmathb.2017.02.007
10.17265/2159-5313/2016.09.003
10.1080/0020739X.2012.756545
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References Rogalski M. (CIT0018) 1990
Harel G. (CIT0012) 2000
Dubinsky E. (CIT0009) 1997
CIT0010
CIT0021
CIT0001
CIT0023
CIT0022
Dorier J. L. (CIT0008) 2001
Dorier J. L. (CIT0007) 2000
Harel G. (CIT0011) 1989; 11
Sierpinska A. (CIT0019) 2000
CIT0003
CIT0002
CIT0013
CIT0024
CIT0005
CIT0016
CIT0015
CIT0006
CIT0017
Hillel J. (CIT0014) 2000
Steen L. A. (CIT0020) 2001
Brousseau G. (CIT0004) 2002
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– start-page: 191
  volume-title: On the teaching of linear algebra
  year: 2000
  ident: CIT0014
– ident: CIT0005
  doi: 10.1080/07468342.1993.11973503
– start-page: 279
  volume-title: Commission inter-IREM universtité: Enseigner autrement les mathématiques en DEUG Première Année
  year: 1990
  ident: CIT0018
– ident: CIT0016
  doi: 10.1080/00207390050203388
– ident: CIT0021
  doi: 10.1007/978-3-319-66811-6
– start-page: 255
  volume-title: The teaching and learning of mathematics at university level
  year: 2001
  ident: CIT0008
– volume: 11
  start-page: 139
  issue: 2
  year: 1989
  ident: CIT0011
  publication-title: Focus on Learning Problems in Mathematics
– start-page: 85
  volume-title: On the teaching of linear algebra
  year: 2000
  ident: CIT0007
– start-page: 303
  volume-title: The teaching and learning of Mathematics at university level
  year: 2001
  ident: CIT0020
– ident: CIT0001
– ident: CIT0024
– ident: CIT0002
– ident: CIT0003
  doi: 10.1191/1478088706qp063oa
– volume-title: Theory of didactical situations in mathematics
  year: 2002
  ident: CIT0004
– start-page: 85
  volume-title: Resources for teaching linear algebra (MAA Notes)
  year: 1997
  ident: CIT0009
– ident: CIT0017
  doi: 10.1002/tea.10105
– ident: CIT0006
  doi: 10.1007/978-3-319-66811-6_10
– ident: CIT0013
  doi: 10.1016/j.jmathb.2017.02.007
– start-page: 209
  volume-title: On the teaching of linear algebra
  year: 2000
  ident: CIT0019
– start-page: 177
  volume-title: On the teaching of linear algebra
  year: 2000
  ident: CIT0012
– ident: CIT0023
  doi: 10.17265/2159-5313/2016.09.003
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  doi: 10.1080/0020739X.2012.756545
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SubjectTerms Abstract Reasoning
Advanced Courses
Algebra
College Faculty
Difficulty Level
Education: 280
Engineering Education
Fagdidaktikk: 283
lecturers' views
Linear algebra
Matematikk og Naturvitenskap: 400
Matematikk: 410
Mathematical analysis
Mathematics and natural science: 400
Mathematics Education
Mathematics Instruction
Mathematics: 410
Pedagogiske fag: 280
Questions
Reliability
Required Courses
Samfunnsvitenskap: 200
Social science: 200
Students
students' needs
Subject didactics: 283
Teacher Attitudes
Teaching
Teaching Methods
thematic analysis
Undergraduate Students
Validity
VDP
Title Themes within lecturers' views on the teaching of linear algebra
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