Foundational mathematical knowledge of prospective teachers: Evidence from a professional development training

This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers’ knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers’ mathematical knowledg...

Full description

Saved in:
Bibliographic Details
Published inPythagoras (Pretoria, South Africa) Vol. 45; no. 1; pp. 1 - 14
Main Authors Mukuka, Angel, Alex, Jogymol K.
Format Journal Article
LanguageEnglish
Published Johannesburg AOSIS 2024
African Online Scientific Information Systems (Pty) Ltd t/a AOSIS
AOSIS (Pty) Ltd
AOSIS Publishing
Subjects
Online AccessGet full text
ISSN1012-2346
2223-7895
2223-7895
DOI10.4102/pythagoras.v45i1.764

Cover

Loading…
Abstract This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers’ knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers’ mathematical knowledge for teaching. An embedded mixed-methods case study design was employed. Baseline and endline assessments were administered before and after the training. A participant feedback survey was also administered after the training. Results showed that the training significantly improved the preservice teachers’ understanding and confidence in the selected concepts, despite their low baseline scores. The participants also expressed satisfaction with the knowledge they gained and appreciated the integration of theory and practice in the training. These findings suggest the need for teacher training institutions to ensure that preservice teachers are well versed in both university-level and school-level mathematics. They also support the need for collaboration with other stakeholders to provide preservice teachers with relevant and engaging professional development opportunities that can enhance their mathematical knowledge for teaching.\r\n\r\nContribution\r\nFindings of this study point to a renewed emphasis on the creation of greater collaborations between institutions of higher learning and other key stakeholders to promote the development of prospective teachers’ knowledge of what they will be expected to teach.\r\n
AbstractList This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers' knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers' mathematical knowledge for teaching. An embedded mixed-methods case study design was employed. Baseline and endline assessments were administered before and after the training. A participant feedback survey was also administered after the training. Results showed that the training significantly improved the preservice teachers' understanding and confidence in the selected concepts, despite their low baseline scores. The participants also expressed satisfaction with the knowledge they gained and appreciated the integration of theory and practice in the training. These findings suggest the need for teacher training institutions to ensure that preservice teachers are well versed in both university-level and school-level mathematics. They also support the need for collaboration with other stakeholders to provide preservice teachers with relevant and engaging professional development opportunities that can enhance their mathematical knowledge for teaching. CONTRIBUTION: Findings of this study point to a renewed emphasis on the creation of greater collaborations between institutions of higher learning and other key stakeholders to promote the development of prospective teachers' knowledge of what they will be expected to teach.
This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers’ knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers’ mathematical knowledge for teaching. An embedded mixed-methods case study design was employed. Baseline and endline assessments were administered before and after the training. A participant feedback survey was also administered after the training. Results showed that the training significantly improved the preservice teachers’ understanding and confidence in the selected concepts, despite their low baseline scores. The participants also expressed satisfaction with the knowledge they gained and appreciated the integration of theory and practice in the training. These findings suggest the need for teacher training institutions to ensure that preservice teachers are well versed in both university-level and school-level mathematics. They also support the need for collaboration with other stakeholders to provide preservice teachers with relevant and engaging professional development opportunities that can enhance their mathematical knowledge for teaching.\r\n\r\nContribution\r\nFindings of this study point to a renewed emphasis on the creation of greater collaborations between institutions of higher learning and other key stakeholders to promote the development of prospective teachers’ knowledge of what they will be expected to teach.\r\n
This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers’ knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers’ mathematical knowledge for teaching. An embedded mixed-methods case study design was employed. Baseline and endline assessments were administered before and after the training. A participant feedback survey was also administered after the training. Results showed that the training significantly improved the preservice teachers’ understanding and confidence in the selected concepts, despite their low baseline scores. The participants also expressed satisfaction with the knowledge they gained and appreciated the integration of theory and practice in the training. These findings suggest the need for teacher training institutions to ensure that preservice teachers are well versed in both university-level and school-level mathematics. They also support the need for collaboration with other stakeholders to provide preservice teachers with relevant and engaging professional development opportunities that can enhance their mathematical knowledge for teaching. Contribution: Findings of this study point to a renewed emphasis on the creation of greater collaborations between institutions of higher learning and other key stakeholders to promote the development of prospective teachers’ knowledge of what they will be expected to teach.
This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers' knowledge in foundational mathematical concepts at a rural university in South Africa. The training programme aimed to enhance preservice teachers' mathematical knowledge for teaching. An embedded mixed-methods case study design was employed. Baseline and endline assessments were administered before and after the training. A participant feedback survey was also administered after the training. Results showed that the training significantly improved the preservice teachers' understanding and confidence in the selected concepts, despite their low baseline scores. The participants also expressed satisfaction with the knowledge they gained and appreciated the integration of theory and practice in the training. These findings suggest the need for teacher training institutions to ensure that preservice teachers are well versed in both university-level and school-level mathematics. They also support the need for collaboration with other stakeholders to provide preservice teachers with relevant and engaging professional development opportunities that can enhance their mathematical knowledge for teaching.
Audience Academic
Author Alex, Jogymol K.
Mukuka, Angel
AuthorAffiliation Walter Sisulu University
AuthorAffiliation_xml – name: Walter Sisulu University
Author_xml – sequence: 1
  givenname: Angel
  orcidid: 0000-0003-0292-1324
  surname: Mukuka
  fullname: Mukuka, Angel
  organization: Department of Mathematics, Science and Technology Education, Faculty of Education, Walter Sisulu University, Mthatha, South Africa
– sequence: 2
  givenname: Jogymol K.
  orcidid: 0000-0002-0118-760X
  surname: Alex
  fullname: Alex, Jogymol K.
  organization: Department of Mathematics, Science and Technology Education, Faculty of Education, Walter Sisulu University, Mthatha, South Africa
BookMark eNqFUkFv0zAYjdCQKGP_gEMkThxabMexk92maRuVJiExOFtfnM-tS2KH2C3s3-M0Q1W5EEuxYr_34vf83mYXzjvMsveUrDgl7NPwHLew8SOE1YGXlq6k4K-yBWOsWMqqLi-yBSWULVnBxZvsKoQdSU8tCZHVInP3fu9aiNY76PIe4hbTy-r08cP5Xx22G8y9yYfRhwF1tAfMI4Le4hiu87uDbdFpzM3o-xwmlMEQZrEWD9j5oUcX8ziCddZt3mWvDXQBr17my-z7_d2328_Lxy8P69ubx6Uu6zIuRdvUDZhCSAGc0dLQmmrdAPIGigIYr4By0YiqqSqJopHGCJIci8a0RKIuLrP1rNt62KlhtD2Mz8qDVccFP24UjMlmh6qUteS0lQWrK97wsmKSm6pBRmugs9Zq1graJkNq5_dj8hfU05SxmjJmhPEUKp2SFYnwYSakOH7uMcQTpSAVq0siRHlCbSCdwjrjU0i6t0GrG1nXFePJ0unnZ6g0WuytTk0wNq2fET6eERIm4u-4gX0Iav309Rx7PWN1ut0wolHaxmMXpvvqFCVqqpg6VUwdK6ZSxRKZ_0P-G_N_aA8vaUJjHUYVAId9o7YxDkFt205twbXp6NMeJSlahTutoMcAw6SjHFUwKf0BhsDzNQ
CitedBy_id crossref_primary_10_29333_ejmste_15655
crossref_primary_10_3390_educsci14121332
Cites_doi 10.1007/s10857-017-9389-8
10.4102/sajce.v5i3.375
10.5951/mathteaceduc.2.1.0042
10.1007/s13394-023-00455-z
10.54870/1551-3440.1303
10.1163/9789087905460_008
10.3102/0013189X015002004
10.15700/saje.v35n3a1083
10.4324/9781410602589
10.5951/mathteaceduc.7.1.0060
10.1016/j.tate.2010.08.007
10.1080/18117295.2020.1735673
10.1080/07370000802177235
10.1080/03323315.2023.2209854
10.1787/5f07c754-en
10.4102/sajce.v11i1.911
10.29333/ejmste/105782
10.1191/1478088706qp063oa
10.3389/fpsyg.2018.02267
10.1007/978-3-030-62408-8_21
10.1007/978-3-031-13548-4_12
10.1007/978-3-319-97148-3_32
10.1007/978-3-030-68956-8_2
10.1177/0022487108324554
10.29333/ejmste/8334
10.15700/saje.v40n3a1741
10.1596/25289
10.1007/978-3-030-18811-5_9
10.29333/mathsciteacher/13063
10.1007/s10857-010-9160-x
10.1016/j.ijedudev.2015.02.002
10.29333/ejmste/14320
10.29333/ejmste/13941
10.1007/978-3-319-71207-9_6
10.1007/978-3-030-18811-5_14
10.4102/pythagoras.v44i1.678
10.1007/s13394-018-0252-8
10.1007/s10857-018-09424-x
10.1080/18117295.2019.1682777
10.17763/haer.57.1.j463w79r56455411
10.1007/s10763-017-9859-6
10.29333/ejmste/99510
10.29333/ejmste/10883
10.1007/s10857-014-9297-0
10.1086/461626
10.1016/j.heliyon.2023.e14789
10.1016/j.cobeha.2022.101211
10.1007/978-3-030-18811-5_10
10.1007/978-3-031-13548-4_26
10.1080/02796015.1987.12085293
ContentType Journal Article
Copyright COPYRIGHT 2024 African Online Scientific Information Systems (Pty) Ltd t/a AOSIS
2024. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright_xml – notice: COPYRIGHT 2024 African Online Scientific Information Systems (Pty) Ltd t/a AOSIS
– notice: 2024. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
– notice: This work is licensed under a Creative Commons Attribution 4.0 International License.
DBID AAYXX
CITATION
ISR
8FE
8FG
ABJCF
ABUWG
AFKRA
AHOVV
AZQEC
BENPR
BGLVJ
CCPQU
CWDGH
DWQXO
HCIFZ
L6V
M7S
PHGZM
PHGZT
PIMPY
PKEHL
PQEDU
PQEST
PQGLB
PQQKQ
PQUKI
PTHSS
GPN
DOA
DOI 10.4102/pythagoras.v45i1.764
DatabaseName CrossRef
Gale In Context: Science
ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Education Research Index
ProQuest Central Essentials
ProQuest Central
ProQuest Technology Collection
ProQuest One Community College
Middle East & Africa Database
ProQuest Central Korea
SciTech Premium Collection
ProQuest Engineering Collection
Engineering Database
ProQuest Central Premium
ProQuest One Academic (New)
ProQuest Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Education
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
Engineering Collection
SciELO
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Publicly Available Content Database
ProQuest One Education
Engineering Database
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
Middle East & Africa Database
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
ProQuest Central (New)
ProQuest One Academic
ProQuest One Academic (New)
Engineering Collection
DatabaseTitleList


CrossRef
Publicly Available Content Database



Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
Education
EISSN 2223-7895
EndPage 14
ExternalDocumentID oai_doaj_org_article_579741d732984b458274f8be219a17ec
S2223_78952024000100006
A799824602
10_4102_pythagoras_v45i1_764
https://hdl.handle.net/10520/ejc-amesap_v45_n1_a764
GeographicLocations South Africa
Sub-Saharan Africa
Africa
GeographicLocations_xml – name: South Africa
– name: Sub-Saharan Africa
– name: Africa
GroupedDBID -W8
1RJ
3V.
5VS
8FE
8FG
AAFWJ
AAHSB
ABJCF
ABOPQ
ABUWG
ACIWK
ACJDM
AFKRA
ALMA_UNASSIGNED_HOLDINGS
BENPR
BGLVJ
BPHCQ
CCPQU
CWDGH
EBS
EJD
GROUPED_DOAJ
HCIFZ
IAO
IHR
ISR
ITC
KQ8
L6V
M7S
M~E
OK1
P2P
PIMPY
PQQKQ
PROAC
PTHSS
PV9
RFP
RZL
SCVUT
SUGNK
X4Q
AAYXX
AFPKN
CITATION
IER
PHGZM
PHGZT
PQEDU
PQGLB
SCSAF
PMFND
AHOVV
AZQEC
DWQXO
PKEHL
PQEST
PQUKI
PUEGO
GPN
ID FETCH-LOGICAL-c595t-6db9baf3676a4215f191ccbae4ba33a248a146b68b887e6b7ff602226bfd07ec3
IEDL.DBID DOA
ISSN 1012-2346
2223-7895
IngestDate Wed Aug 27 01:25:59 EDT 2025
Tue Aug 19 13:44:11 EDT 2025
Sat Aug 23 12:37:31 EDT 2025
Tue Jun 17 22:08:48 EDT 2025
Tue Jun 10 21:04:45 EDT 2025
Fri Jun 27 06:00:30 EDT 2025
Tue Aug 05 12:13:33 EDT 2025
Thu Apr 24 22:56:03 EDT 2025
Thu Dec 19 09:13:45 EST 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Keywords subject matter knowledge
Foundational mathematical concepts
prospective mathematics teachers
pedagogical skills
professional development
Language English
License https://creativecommons.org/licenses/by/4.0
This work is licensed under a Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c595t-6db9baf3676a4215f191ccbae4ba33a248a146b68b887e6b7ff602226bfd07ec3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-0118-760X
0000-0003-0292-1324
OpenAccessLink https://doaj.org/article/579741d732984b458274f8be219a17ec
PQID 3082950665
PQPubID 1796349
PageCount 14
ParticipantIDs doaj_primary_oai_doaj_org_article_579741d732984b458274f8be219a17ec
scielo_journals_S2223_78952024000100006
proquest_journals_3082950665
gale_infotracmisc_A799824602
gale_infotracacademiconefile_A799824602
gale_incontextgauss_ISR_A799824602
crossref_citationtrail_10_4102_pythagoras_v45i1_764
crossref_primary_10_4102_pythagoras_v45i1_764
sabinet_saepub_https_hdl_handle_net_10520_ejc_amesap_v45_n1_a764
PublicationCentury 2000
PublicationDate 2024-00-00
PublicationDateYYYYMMDD 2024-01-01
PublicationDate_xml – year: 2024
  text: 2024-00-00
PublicationDecade 2020
PublicationPlace Johannesburg
PublicationPlace_xml – name: Johannesburg
PublicationTitle Pythagoras (Pretoria, South Africa)
PublicationTitleAlternate Pythagoras
PublicationYear 2024
Publisher AOSIS
African Online Scientific Information Systems (Pty) Ltd t/a AOSIS
AOSIS (Pty) Ltd
AOSIS Publishing
Publisher_xml – name: AOSIS
– name: African Online Scientific Information Systems (Pty) Ltd t/a AOSIS
– name: AOSIS (Pty) Ltd
– name: AOSIS Publishing
References ref13
ref57
ref56
ref15
ref59
ref14
ref58
ref53
ref52
ref11
ref55
ref10
ref54
Chapman (ref12) 2021
ref17
ref16
ref19
OECD. (ref47) 2019
ref18
Hickendorff (ref23) 2019
ref51
ref50
ref46
ref45
ref42
ref41
ref44
ref43
ref49
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
ref35
ref34
ref37
ref36
ref31
ref30
ref32
ref0
ref2
ref1
Li (ref29) 2021
ref39
ref38
Thanheiser (ref65) 2014
ref70
Ma (ref33) 1999
Osta (ref48) 2023
ref24
ref68
ref67
ref26
ref25
ref69
ref20
ref64
ref63
ref22
ref66
Golding (ref21) 2023
ref28
ref27
ref60
ref62
ref61
Shapiro, E.S. 1987; 16
Jankvist, U.T.; Clark, K.M.; Mosvold, R. 2020; 23
Alex, J.K. 2019; 15
Superfine, A.C.; Li, W.; Martinez, M.V. 2013; 2
Meany, T.; Lange, T. 2012; 14
Jacinto, E.L.; Jakobsen, A. 2020; 24
Moh'd, S.S.; Uwamahoro, J.; Joachim, N.; Orodho, J.A. 2021; 17
Gürefe, N.; Aktaş, S.G. 2020; 40
Livy, S.; Herbert, S.; Vale, C. 2019; 31
Mukuka, A.; Alex, J.K. 2024; 20
Thanheiser, E.; Whitacre, I.; Roy, G. 2014; 11
Yang, Z.; Zhang, Y.; Wang, K.; Zhu, M. 2018; 9
Shulman, L.S. 1986; 15
Venkat, H.; Spaull, N. 2015; 41
Malambo, P.; Van Putten, S.; Botha, H.; Stols, G. 2018; 15
Bowie, L.; Venkat, H.; Askew, M. 2019; 23
Feldman, Z.; Roscoe, M.B. 2018; 7
Shulman, L.S. 1987; 57
Ball, D.L.; Thames, M.H; Phelps, G. 2008; 59
Taylor, N. 2021; 11
Braun, V.; Clarke, V. 2006; 3
Isiksal, M.; Cakiroglu, E. 2011; 14
Mukuka, A.; Balimuttajjo, S.; Mutarutinya, V. 2023; 9
Masingila, J.O.; Olanoff, D.; Kimani, P.M. 2018; 21
Yiu-Kwong, M. 2016; 21
Avalos, B. 2011; 27
Ball, D.L. 1990; 90
Scheiner, T.; Montes, M.A.; Godino, J.D.; Carrillo, J.; Pino-Fan, L.R. 2019; 17
Luneta, K. 2022; 48
Pournara, C.; Hodgen, J.; Adler, J.; Pillay, V. 2015; 35
Qian, H.; Youngs, P. 2016; 19
Niyukuri, F.; Nzotungicimpaye, J.; Ntahomvukiye, C. 2020; 16
Chikiwa, S.; Graven, M. 2023; 44
Ndlovu, Z.; Amin, N.; Samuel, M.A. 2017; 70
Saili, J; Samuel, E.B; Mukuka, A. 2023; 3
Alex, J.K.; Mukuka, A. 2024; 20
Fonseca, K.; Petersen, N. 2015; 5
Hill, H.C.; Blunk, M.L.; Charalambous, C.Y; Lewis, J.M.; Phelps, G.C.; Sleep, L.; Ball, D.L. 2008; 26
Reid, M.; Reid, S. 2017; 9
References_xml – ident: ref37
– ident: ref35
  doi: 10.1007/s10857-017-9389-8
– ident: ref19
  doi: 10.4102/sajce.v5i3.375
– ident: ref61
  doi: 10.5951/mathteaceduc.2.1.0042
– ident: ref20
– ident: ref43
– ident: ref60
  doi: 10.1007/s13394-023-00455-z
– year: 2014
  ident: ref65
  article-title: Mathematical content knowledge for teaching elementary mathematics: A focus on whole-number concepts and operations
  publication-title: The Mathematics Enthusiast 11(2) Article 4 Retrieved from https
  doi: 10.54870/1551-3440.1303
– ident: ref62
  doi: 10.1163/9789087905460_008
– ident: ref58
  doi: 10.3102/0013189X015002004
– ident: ref50
  doi: 10.15700/saje.v35n3a1083
– ident: ref69
– ident: ref11
– year: 1999
  ident: ref33
  article-title: Knowing and teaching elementary mathematics
  publication-title: Teachers understanding of fundamental mathematics in China and the United States
  doi: 10.4324/9781410602589
– ident: ref17
  doi: 10.5951/mathteaceduc.7.1.0060
– ident: ref36
– ident: ref2
– ident: ref4
  doi: 10.1016/j.tate.2010.08.007
– ident: ref44
– ident: ref26
  doi: 10.1080/18117295.2020.1735673
– ident: ref24
  doi: 10.1080/07370000802177235
– ident: ref51
  doi: 10.1080/03323315.2023.2209854
– year: 2019
  ident: ref47
  article-title: PISA 2018 results (Volume I): What students know and can do
  publication-title: https
  doi: 10.1787/5f07c754-en
– ident: ref64
  doi: 10.4102/sajce.v11i1.911
– ident: ref0
  doi: 10.29333/ejmste/105782
– ident: ref10
  doi: 10.1191/1478088706qp063oa
– ident: ref54
– ident: ref16
– ident: ref68
  doi: 10.3389/fpsyg.2018.02267
– year: 2021
  ident: ref12
  article-title: Mathematics teacher educator knowledge for teaching teachers
  publication-title: In M Goos & K Beswick (Eds ) The learning and development of mathematics teacher educators Research in Mathematics education (pp
  doi: 10.1007/978-3-030-62408-8_21
– year: 2023
  ident: ref21
  article-title: Coherence and relevance of materials and technologies to support mathematics curriculum reforms
  publication-title: In Y Shimizu & R Vithal (Eds ) Mathematics curriculum reforms around the world
  doi: 10.1007/978-3-031-13548-4_12
– year: 2019
  ident: ref23
  article-title: Multi-digit addition, subtraction, multiplication, and division strategies
  publication-title: In A Fritz V G Haase & P Räsänen (Eds ) International handbook of mathematical learning difficulties (pp
  doi: 10.1007/978-3-319-97148-3_32
– year: 2021
  ident: ref29
  article-title: Toward a thinking-oriented training in mathematics for elementary school teachers
  publication-title: In Y Li R E Howe W J Lewis & J J Madden (Eds ) Developing Mathematical proficiency for elementary instruction
  doi: 10.1007/978-3-030-68956-8_2
– ident: ref39
– ident: ref3
– ident: ref6
  doi: 10.1177/0022487108324554
– ident: ref46
  doi: 10.29333/ejmste/8334
– ident: ref22
  doi: 10.15700/saje.v40n3a1741
– ident: ref7
  doi: 10.1596/25289
– ident: ref53
  doi: 10.1007/978-3-030-18811-5_9
– ident: ref55
  doi: 10.29333/mathsciteacher/13063
– ident: ref25
  doi: 10.1007/s10857-010-9160-x
– ident: ref32
– ident: ref66
  doi: 10.1016/j.ijedudev.2015.02.002
– ident: ref70
– ident: ref1
  doi: 10.29333/ejmste/14320
– ident: ref40
  doi: 10.29333/ejmste/13941
– ident: ref15
– ident: ref45
  doi: 10.1007/978-3-319-71207-9_6
– ident: ref63
  doi: 10.1007/978-3-030-18811-5_14
– ident: ref13
  doi: 10.4102/pythagoras.v44i1.678
– ident: ref30
  doi: 10.1007/s13394-018-0252-8
– ident: ref27
  doi: 10.1007/s10857-018-09424-x
– ident: ref9
  doi: 10.1080/18117295.2019.1682777
– ident: ref59
  doi: 10.17763/haer.57.1.j463w79r56455411
– ident: ref56
  doi: 10.1007/s10763-017-9859-6
– ident: ref28
– ident: ref34
  doi: 10.29333/ejmste/99510
– ident: ref42
– ident: ref38
  doi: 10.29333/ejmste/10883
– ident: ref49
– ident: ref52
  doi: 10.1007/s10857-014-9297-0
– ident: ref5
  doi: 10.1086/461626
– ident: ref8
– ident: ref18
– ident: ref41
  doi: 10.1016/j.heliyon.2023.e14789
– ident: ref31
  doi: 10.1016/j.cobeha.2022.101211
– ident: ref67
  doi: 10.1007/978-3-030-18811-5_10
– ident: ref14
– year: 2023
  ident: ref48
  article-title: Case studies in agents and processes of Mathematics curriculum development and reform
  publication-title: In Y Shimizu & R Vithal (Eds ) Mathematics curriculum reforms around the World
  doi: 10.1007/978-3-031-13548-4_26
– ident: ref57
  doi: 10.1080/02796015.1987.12085293
– volume: 27
  start-page: 10
  issue: 1
  year: 2011
  end-page: 20
  article-title: Teacher professional development in teaching and teacher education over ten years
  publication-title: Teaching and Teacher Education
– volume: 7
  start-page: 60
  issue: 1
  year: 2018
  end-page: 85
  article-title: Encouraging teachers to make use of multiplicative structure
  publication-title: Mathematics Teacher Educator
– volume: 5
  start-page: a375
  issue: 3
  year: 2015
  article-title: Online supplementary mathematics tuition in a first-year childhood teacher education programme
  publication-title: South African Journal of Childhood Education
– volume: 14
  start-page: 213
  issue: 3
  year: 2011
  end-page: 230
  article-title: The nature of prospective mathematics teachers' pedagogical content knowledge: the case of multiplication of fractions
  publication-title: Journal of Mathematics Teacher Education
– volume: 11
  issue: 2
  year: 2014
  article-title: Mathematical content knowledge for teaching elementary mathematics: A focus on whole-number concepts and operations
  publication-title: The Mathematics Enthusiast
– volume: 31
  start-page: 279
  issue: 3
  year: 2019
  end-page: 299
  article-title: Developing primary pre-service teachers' mathematical content knowledge: Opportunities and influences
  publication-title: Mathematics Education Research Journal
– volume: 11
  start-page: a911
  issue: 1
  year: 2021
  article-title: The dream of Sisyphus: Mathematics education in South Africa
  publication-title: South African Journal of Childhood Education
– volume: 70
  start-page: 46
  year: 2017
  end-page: 72
  article-title: Examining pre-service teachers' subject matter knowledge of school mathematics concepts
  publication-title: Journal of Education
– volume: 3
  start-page: 77
  issue: 2
  year: 2006
  end-page: 101
  article-title: Using thematic analysis in psychology
  publication-title: Qualitative Research in Psychology
– volume: 20
  start-page: em2381
  issue: 1
  year: 2024
  article-title: Review of research on microteaching in mathematics teacher education: Promises and challenges
  publication-title: Eurasia Journal of Mathematics, Science and Technology Education
– volume: 21
  start-page: 22
  year: 2016
  end-page: 24
  article-title: Finding the greatest common divisor by repeated subtractions
  publication-title: Learning and Teaching Mathematics
– volume: 19
  start-page: 371
  issue: 4
  year: 2016
  end-page: 396
  article-title: The effect of teacher education programs on future elementary mathematics teachers' knowledge: A five-country analysis using TEDS-M data
  publication-title: Journal of Mathematics Teacher Education
– volume: 41
  start-page: 121
  year: 2015
  end-page: 130
  article-title: What do we know about primary teachers' mathematical content knowledge in South Africa?: An analysis of SACMEQ 2007
  publication-title: International Journal of Educational Development
– volume: 17
  start-page: em1970
  issue: 6
  year: 2021
  article-title: Assessing the level of secondary mathematics teachers' pedagogical content knowledge
  publication-title: Eurasia Journal of Mathematics, Science and Technology Education
– volume: 23
  start-page: 286
  issue: 3
  year: 2019
  end-page: 297
  article-title: Pre-service primary teachers' mathematical content knowledge: An exploratory study
  publication-title: African Journal of Research in Mathematics, Science and Technology Education
– volume: 9
  start-page: 1
  year: 2018
  end-page: 9
  article-title: Connecting with fundamental mathematical knowledge directly: The organizational features of good mathematical cognitive structure
  publication-title: Frontiers in Psychology
– volume: 48
  start-page: 101211
  year: 2022
  article-title: Special challenges in mathematics education in Sub Sahara Africa
  publication-title: Current Opinion in Behavioral Sciences
– volume: 21
  start-page: 429
  issue: 5
  year: 2018
  end-page: 450
  article-title: Mathematical knowledge for teaching teachers: Knowledge used and developed by mathematics teacher educators in learning to teach via problem solving
  publication-title: Journal of Mathematics Teacher Education
– volume: 14
  start-page: 50
  issue: 2
  year: 2012
  end-page: 69
  article-title: Knowing mathematics to be a teacher
  publication-title: Mathematics Teacher Education and Development
– volume: 59
  start-page: 389
  issue: 5
  year: 2008
  end-page: 407
  article-title: Content knowledge for teaching: What makes it special?
  publication-title: Journal of Teacher Education
– volume: 16
  start-page: 290
  issue: 3
  year: 1987
  end-page: 305
  article-title: Intervention research methodology in school osychology
  publication-title: School Psychology Review
– volume: 57
  start-page: 1
  issue: 1
  year: 1987
  end-page: 23
  article-title: Knowledge and teaching: Foundations of the new reform
  publication-title: Harvard Educational Review
– volume: 44
  start-page: a678
  issue: 1
  year: 2023
  article-title: Exploring the development of South African pre-service teachers' reflective practice
  publication-title: Pythagoras
– volume: 15
  start-page: em1651
  issue: 1
  year: 2018
  article-title: Dysfunctional functions: The case of Zambian mathematics education students
  publication-title: Eurasia Journal of Mathematics, Science and Technology Education
– volume: 9
  start-page: e14789
  issue: 4
  year: 2023
  article-title: Teacher efforts towards the development of students' mathematical reasoning skills
  publication-title: Heliyon
– volume: 2
  start-page: 42
  issue: 1
  year: 2013
  end-page: 54
  article-title: Developing preservice teachers' mathematical knowledge for teaching: Making explicit design considerations for a content course
  publication-title: Mathematics Teacher Educator
– volume: 20
  start-page: em2416
  issue: 3
  year: 2024
  article-title: Heutagogy in action: Unveiling the transformative power of virtual 'air campus' experiences of mathematics trainee teachers
  publication-title: Eurasia Journal of Mathematics, Science and Technology Education
– volume: 24
  start-page: 31
  issue: 1
  year: 2020
  end-page: 40
  article-title: Mathematical knowledge for teaching: How do primary pre-service teachers in Malawi understand it?
  publication-title: African Journal of Research in Mathematics, Science and Technology Education
– volume: 26
  start-page: 430
  issue: 4
  year: 2008
  end-page: 511
  article-title: Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study
  publication-title: Cognition and Instruction
– volume: 90
  start-page: 449
  issue: 4
  year: 1990
  end-page: 466
  article-title: The mathematical understandings that prospective teachers bring to teacher education
  publication-title: Elementary School Journal
– volume: 9
  start-page: 851
  issue: 4
  year: 2017
  end-page: 872
  article-title: Learning to be a math teacher: What knowledge is essential?
  publication-title: International Electronic Journal of Elementary Education
– volume: 15
  start-page: em1791
  issue: 12
  year: 2019
  article-title: The preparation of secondary school mathematics teachers in South Africa: Prospective teachers' student level disciplinary content knowledge
  publication-title: Eurasia Journal of Mathematics, Science and Technology Education
– volume: 35
  start-page: 1
  issue: 3
  year: 2015
  end-page: 10
  article-title: Can improving teachers' knowledge of mathematics lead to gains in learners' attainment in Mathematics?
  publication-title: South African Journal of Education
– volume: 15
  start-page: 4
  issue: 2
  year: 1986
  end-page: 14
  article-title: Those who understand: Knowledge growth in teaching
  publication-title: Educational Researcher
– volume: 17
  start-page: 153
  issue: 1
  year: 2019
  end-page: 172
  article-title: What makes mathematics teacher knowledge specialized?: Offering alternative views
  publication-title: International Journal of Science and Mathematics Education
– volume: 40
  start-page: 1
  issue: 3
  year: 2020
  end-page: 9
  article-title: The concept of prime number and the strategies used in explaining prime numbers
  publication-title: South African Journal of Education
– volume: 23
  start-page: 311
  issue: 3
  year: 2020
  end-page: 332
  article-title: Developing mathematical knowledge for teaching teachers: Potentials of history of mathematics in teacher educator training
  publication-title: Journal of Mathematics Teacher Education
– volume: 3
  start-page: em030
  issue: 1
  year: 2023
  article-title: Effect of visual-based instruction on elementary pre-service teachers' conceptual understanding of fractions
  publication-title: Journal of Mathematics and Science Teacher
– volume: 16
  start-page: em1871
  issue: 8
  year: 2020
  article-title: Pre-service teachers' secondary school experiences in learning geometry and their confidence to teach it
  publication-title: Eurasia Journal of Mathematics, Science & Technology Education
SSID ssj0000970078
Score 2.2663746
Snippet This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers’ knowledge in foundational...
This study examined the effect of a professional development training programme on 20 second-year preservice mathematics teachers' knowledge in foundational...
SourceID doaj
scielo
proquest
gale
crossref
sabinet
SourceType Open Website
Open Access Repository
Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1
SubjectTerms Addition
Algorithms
Arithmetic
Case studies
Curricula
Division
Education
Educational Benefits
Educational objectives
Educational Research
Elementary School Students
Evidence
Foundational mathematical concepts
Fractions
Fundamental Concepts
Instructional Effectiveness
Instructional Materials
International Assessment
Knowledge
Learning
Low Achievement
Mathematical Concepts
Mathematics
Mathematics Achievement
Mathematics education
Mathematics Instruction
Mathematics Skills
Mathematics teachers
Mathematics, Applied
Mathematics, Interdisciplinary Applications
Methods
Multiplication & division
Number Concepts
Outcomes of Education
Pedagogical Content Knowledge
Pedagogical skills
pedagogical skills, prospective mathematics teachers, professional development, subject matter knowledge
Preservice Teacher Education
Preservice teachers
Prime numbers
Problem solving
Professional development
prospective mathematics teachers
Students
Subject matter knowledge
Surveys
Teachers
Teaching methods
Training
SummonAdditionalLinks – databaseName: ProQuest Central
  dbid: BENPR
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV3Nb9UwDI9gu8Bh4lN0DBQhpJ269SNtWi6woU0DaRPamLSblaTJ29CjfawdEv89dpu2PCHB8b24X3Zix7H9M2NvXUSxnYhqnSw6KEaXYWmyOKyMKkxldCos1Q6fnuUnl-LzVXblD9xan1Y56sReUVeNoTPyfYJVKTMKFLxf_QipaxRFV30LjftsE1Vwgc7X5uHR2Zfz6ZQlKiUZwT7kGSdhkop8qJ8TaFj3V7-6a7VAVrd7P0V2E-_JXKzZpx7G_29ljXtlwr-tLW1GyVIt_zRKx4_Ylt9N8oNB_I_ZPVs_YQ9PJyjW9imr58ZJSPl9GsIf03kabxzHp45Vl7wbYJ7bd3xsOsqpDIUropqQPHg1JxzxsdXEM3Z5fPT140nomyyEJiuzLswrXWrlCLhNCbT_Dh04Y7SyQqs0VYkoFCpTnRca1ZHNtXQuJycx166KpDXpc7ZRN7V9wbhM00gnpkQlirdKhUqkcVFVFMbhI2IVsHRkLRiPQE5vtwT0REggMAsEeoEACiRg4XTVakDg-A_9IUltoiX87P6P5nYBfjlCJtGPiiuZJmUhNMUOpXCFtqi_VYxfFbA3JHMghIyaUnAW6q5t4dPFORxI9FATgUwI2K4ncg1-h1G-ogG5QaBaa5Q7a5S4hM368Di1wKuQFuYJH7APfrpBq6hUsq_FauG6WsKAxQE0FlNKE9hvBii_Wq2IJVDHoHqm7A7zdL7_Be0MQRYlXkWJxFEf6cm3__0uL9kDIh8OoXbYRnd7Z1_htqzTr_3a-w2f6jkp
  priority: 102
  providerName: ProQuest
Title Foundational mathematical knowledge of prospective teachers: Evidence from a professional development training
URI https://hdl.handle.net/10520/ejc-amesap_v45_n1_a764
https://www.proquest.com/docview/3082950665
http://www.scielo.org.za/scielo.php?script=sci_arttext&pid=S2223-78952024000100006&lng=en&tlng=en
https://doaj.org/article/579741d732984b458274f8be219a17ec
Volume 45
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9QwELagXOCAeIpAWVkIqaeUJHbimBMt6lKQWqGWSr2NbMduQUt2RVIk_j0zee2uOPTCcdcTJ5kZzyOe-czY25DQ3k5CvU4eExRndaxdnsaVM6WrnBXSU-_wyWlxfCG_XOaXG0d9UU1YDw_cMw4Tdox400qJTJfS0i6PkqG0HleaSZV3ZH3R520kU50N1oqcX7fVmWZxJmTR981JdKjvVn_aa3OFLG72f8v8e7qvCrnllzr4_n-NNMbIhHtbewpCyUMtNp3R_BF7OESR_KB_-sfsjq-fsAcnEwRr85TV6wOTkPLnNIQ_pu9ofBk43nXstuRtD-_cvOfjYaOc2k-4IaoJwYNX60IjPh4x8YxdzI--fTyOh8MVYpfrvI2LymprAgG2GYl-P2Di5pw1XlojhMlkadCI2qK0aIZ8YVUIBSWHhQ1VgnwXz9lOvaz9C8aVEInNnEbjiVMJaTLlQlKVpQt4i9RETIysBTcgj9PTLQAzEBIIrAUCnUAABRKxeLpq1SNv3EJ_SFKbaAk3u_sDtQkGbYLbtClib0jmQMgYNZXeXJmbpoHP52dwoDAzzSQyIWJ7A1FY4ns4M3QyIDcITGuLcneLEpeu2x4eVQsG09EA4QfpnHbEIvZhUDdoDLVIdj1YDVxXC-gxOIDGUiplAv_DAdVVmxWxBOoUTMeUvV5P1_OfU0QIqtR4FRUQJ90OT_Hyf7DvFbtPk_afqHbZTvvrxr_GoK21M3a3nH-asXuHR6dfz2bdav0L5MpBhA
linkProvider Directory of Open Access Journals
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtR3LbtQw0CrlABwQT7FQwEKgntImsRMnSAjKY9ml3R5oK_U2tR1nC1qyS5OC-lN8IzN5LSskOPW467GTzHhmPJ4XY89zn3w7PuU6OTRQrEm91EaBl1md2MwaIR3lDk_249GR_HQcHa-xX10uDIVVdjKxFtTZ3NId-TaVVUkjchS8Xnz3qGsUeVe7FhrNtth1Fz_RZCtfjd8jfV-E4fDD4buR13YV8GyURpUXZyY1OqdKZVqiwsvRYrHWaCeNFkKHMtEoPUycGOQ_FxuV5zFZRbHJM185K3DdK-yqFCIljkqGH_s7HT9VpHJrB2sQeqGQcZOtJ1GNby8uqlM9RcKWWz9k9CXYUrFc0YZ104C_VQOezKnabuHo6Et6cfanChzeYjfbsyvfaTbbbbbmijvsxqQv_FreZcWyTRNCfuuH8Ed_e8fnOcendjmevGqKSpcvedfilFPSC9cE1dcN4dkyvIl3jS3usaNLQf59tl7MC_eAcSWEb0KbosjGpYTUobK5nyWJzfERgR4w0aEWbFvvnN5uBmj3EEFgSRCoCQJIkAHz-lmLpt7Hf-DfEtV6WKrWXf8xP5tCy_wQKbTagkyJME2kIU-lknliHGoLHeBXDdgzojlQPY6CAn6m-rwsYXzwGXYU2sOhRCQM2GYLlM_xO6xu8ycQG1TCawVyYwUSBYZdHe62FrQCq4Qlew3Ym3a7QakpMbPO_CrhNJtBU_kDaCygACpwXy1QNLdeEEqgCEDXSNls9uly_QM6h4JKUpxFYct-7VeKH_77XZ6ya6PDyR7sjfd3H7HrNLW5_tpg69XZuXuMB8LKPKm5kLOTy2b73wDJdY8
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3db9MwELdGJyF44BtRGGAh0J7S5sOJEyQEY6W0jE2IMbE3Yzt2B5S0LClo_Gn8K_wz3OWrFCR42gOPjc9u7JzvfL673xFy37ro23Ex18mAgaJV4iQ69JxUy1inWgXMYO7w7l40OmAvDsPDNfK9yYXBsMpGJpaCOp1pvCPvI6xKEqKjoG_rsIhXg-Hj-WcHK0ihp7Upp1GxyI45-QrmW_5oPIBv_cD3h8_ebI-cusKAo8MkLJwoVYmSFlHLJAPlZ8F60VpJw5QMAumzWIIkUVGsYC-aSHFrI7SQImVTlxsdwLhnyDpWdWIdsr79dvB81N7wuAlHBVy6Wz3f8QMWVbl7DJR6f35SHMkJfOa894WF770ej9iKbixLCPypKOCcjti7mcGDMGrJ6a8KcXiR_GiWsoqD-dhbFKqnv_2GMvl_rvUlcqE-p9OtamNdJmsmu0LO77Ygt_lVki1LUgHlp7YJfrQ3lXRmKUy-yWelRQWgnT-kTTlXigk-VCJVi5FC02UoF22KeFwjB6cy4eukk80yc4NQHgSu8nUC6gmGCpj0ubZuGsfawl94skuChnGErrHd8e2mAmw8ZDexZDdRspsAdusSp-01r7BN_kH_FHmypUVk8vLB7HgiakEnQg4WqpfywE9iptAry5mNlQHNKD2YVZfcQ44WiD2SIWdN5CLPxXj_tdjiYPv7DBahSzZrIjuDeWhZ54rAaiBc2QrlxgolCEe92txwuKiFcy6W7N0lT-rNJHKJSahlllsujtKpqFBOBLZ5GCwmzActMHJdznFJROYJWS7KZrULl-Pv45lb8DiBXhii7ZY-tOjm39_lLjkLm0y8HO_t3CLnsGd107dBOsXxwtyGs2-h7tRChpJ3p73XfgKA1sML
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Foundational+mathematical+knowledge+of+prospective+teachers%3A+Evidence+from+a+professional+development+training&rft.jtitle=Pythagoras+%28Pretoria%2C+South+Africa%29&rft.au=Mukuka%2C+Angel&rft.au=Alex%2C+Jogymol+K.&rft.date=2024&rft.pub=AOSIS+Publishing&rft.issn=2223-7895&rft.volume=45&rft.issue=1&rft.spage=1&rft.epage=14&rft_id=info:doi/10.4102%2Fpythagoras.v45i1.764&rft.externalDocID=S2223_78952024000100006
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1012-2346&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1012-2346&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1012-2346&client=summon