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Pre-Service Teachers' Procedural and Conceptual Understanding of Pupils' Mean Value Knowledge in Grade 6

Svensson, Christina and Holmqvist, Mona LU orcid (2021) In International Electronic Journal of Mathematics Education 16(3). p.1-12
Abstract
The aim of this study is to explore pre-service teachers’ procedural and conceptual understanding of pupils’ understanding of mean value, before and after an intervention. Participants are 66 pre-service teachers, and two teacher educators. The data consists of five video-recorded lessons and pre-service teachers’ pre- and post-test discussions. Based on variation theory, the analysis aimed to identify pre-service teachers’ expressed knowledge of procedural and conceptual understanding, focusing four categories of expressions: procedural (P), procedural didactics (PD), conceptual (C), and conceptual didactics (CD). The pre-service teachers’ expressed understanding of pupils’ knowledge developed differently in the five teacher student... (More)
The aim of this study is to explore pre-service teachers’ procedural and conceptual understanding of pupils’ understanding of mean value, before and after an intervention. Participants are 66 pre-service teachers, and two teacher educators. The data consists of five video-recorded lessons and pre-service teachers’ pre- and post-test discussions. Based on variation theory, the analysis aimed to identify pre-service teachers’ expressed knowledge of procedural and conceptual understanding, focusing four categories of expressions: procedural (P), procedural didactics (PD), conceptual (C), and conceptual didactics (CD). The pre-service teachers’ expressed understanding of pupils’ knowledge developed differently in the five teacher student groups. A shift from procedural to conceptual focus occurred in two groups. The number of procedural related words expressed in the first group decreased from 104 (pre-test: 65 P and 39 PD) to 16 (post-test: 9 P and 7 PD), at the same time as the conceptual related words increased (pre 4 C and 0 CD and post 11 C and 16 CD). In the second group, 87 procedure-related words (36 P and 51 PD) identified during pre-test decreased after the intervention (3 P and 9 PD). Instead, concept-related words increased from 16 (12 C and 4 CD) to 29 (10 C and 19 CD). The changes occurred among participants who had got, except of theoretical instruction, challenging hands-on tasks about the Mathematical content in focus. The findings from this study contribute to understand how design of instruction for pre-service teacher contributes to enhance teacher students’ didactic perspective on pupils’ learning. (Less)
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author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
conceptual knowledge, mean value, pre-service teacher education, procedural knowledge, variation theory
in
International Electronic Journal of Mathematics Education
volume
16
issue
3
article number
em0649
pages
12 pages
publisher
Modestum Ltd.
ISSN
1306-3030
DOI
10.29333/iejme/11067
language
Unknown
LU publication?
no
id
0109dfa0-9894-4ba0-aaa4-69de74373428
date added to LUP
2023-12-04 17:25:47
date last changed
2023-12-07 11:18:21
@article{0109dfa0-9894-4ba0-aaa4-69de74373428,
  abstract     = {{The aim of this study is to explore pre-service teachers’ procedural and conceptual understanding of pupils’ understanding of mean value, before and after an intervention. Participants are 66 pre-service teachers, and two teacher educators. The data consists of five video-recorded lessons and pre-service teachers’ pre- and post-test discussions. Based on variation theory, the analysis aimed to identify pre-service teachers’ expressed knowledge of procedural and conceptual understanding, focusing four categories of expressions: procedural (P), procedural didactics (PD), conceptual (C), and conceptual didactics (CD). The pre-service teachers’ expressed understanding of pupils’ knowledge developed differently in the five teacher student groups. A shift from procedural to conceptual focus occurred in two groups. The number of procedural related words expressed in the first group decreased from 104 (pre-test: 65 P and 39 PD) to 16 (post-test: 9 P and 7 PD), at the same time as the conceptual related words increased (pre 4 C and 0 CD and post 11 C and 16 CD). In the second group, 87 procedure-related words (36 P and 51 PD) identified during pre-test decreased after the intervention (3 P and 9 PD). Instead, concept-related words increased from 16 (12 C and 4 CD) to 29 (10 C and 19 CD). The changes occurred among participants who had got, except of theoretical instruction, challenging hands-on tasks about the Mathematical content in focus. The findings from this study contribute to understand how design of instruction for pre-service teacher contributes to enhance teacher students’ didactic perspective on pupils’ learning.}},
  author       = {{Svensson, Christina and Holmqvist, Mona}},
  issn         = {{1306-3030}},
  keywords     = {{conceptual knowledge; mean value; pre-service teacher education; procedural knowledge; variation theory}},
  language     = {{und}},
  number       = {{3}},
  pages        = {{1--12}},
  publisher    = {{Modestum Ltd.}},
  series       = {{International Electronic Journal of Mathematics Education}},
  title        = {{Pre-Service Teachers' Procedural and Conceptual Understanding of Pupils' Mean Value Knowledge in Grade 6}},
  url          = {{http://dx.doi.org/10.29333/iejme/11067}},
  doi          = {{10.29333/iejme/11067}},
  volume       = {{16}},
  year         = {{2021}},
}