Preservice Teachers' Perspectives on Connections within Mathematical Concepts: A Qualitative Study
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| Title: | Preservice Teachers' Perspectives on Connections within Mathematical Concepts: A Qualitative Study |
|---|---|
| Language: | English |
| Authors: | Sara D. Sony |
| Source: | Mathematics Teacher Education and Development. 2025 27(2). |
| Availability: | Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: mted@merga.net.au; Web site: https://mted.merga.net.au/index.php/mted/index |
| Peer Reviewed: | Y |
| Page Count: | 15 |
| Publication Date: | 2025 |
| Document Type: | Journal Articles Reports - Research Tests/Questionnaires |
| Education Level: | Higher Education Postsecondary Education Secondary Education |
| Descriptors: | Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Mathematical Concepts, Knowledge Level, Mathematics Education, Teacher Competencies, Student Attitudes, Capstone Experiences, Methods Courses, Mathematical Logic |
| Geographic Terms: | Missouri |
| ISSN: | 1442-3901 |
| Abstract: | This study explores how preservice secondary mathematics teachers comprehend and apply advanced mathematical concepts to the content they will teach in K-12 classrooms. Responding to student inquiries and guided by the "Mathematical Education of Teachers II" recommendations, an innovative capstone course was developed and integrated into the mathematics education program to bridge the gap between college level mathematics and secondary instruction. The course was designed to foster meaningful mathematical connections through assignments and guided reflection, enhancing preservice teachers' ability to connect advanced concepts to secondary teaching. Employing a generic qualitative research design with thematic analysis, written reflections from five preservice teachers in their final semester of a teacher preparation program at Northwest Missouri State University were analysed. The purpose of the written reflection was to help these teachers examine their evolving mathematical thinking and instructional planning. The findings indicate that participants transitioned from procedural to conceptual reasoning, developed heightened awareness of mathematical interconnectivity, and gained confidence in designing lessons that integrate advanced mathematics. These results suggest that purposefully designed capstone courses can strengthen preservice teachers' pedagogical effectiveness and promote curricular coherence. Further, it is recommended teacher preparation programs prioritise connecting advanced mathematics to school level instruction. |
| Abstractor: | As Provided |
| Entry Date: | 2025 |
| Accession Number: | EJ1486457 |
| Database: | ERIC |
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| Items | – Name: Title Label: Title Group: Ti Data: Preservice Teachers' Perspectives on Connections within Mathematical Concepts: A Qualitative Study – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sara+D%2E+Sony%22">Sara D. Sony</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Mathematics+Teacher+Education+and+Development%22"><i>Mathematics Teacher Education and Development</i></searchLink>. 2025 27(2). – Name: Avail Label: Availability Group: Avail Data: Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: mted@merga.net.au; Web site: https://mted.merga.net.au/index.php/mted/index – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 15 – Name: DatePubCY Label: Publication Date Group: Date Data: 2025 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Journal Articles<br />Reports - Research<br />Tests/Questionnaires – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22Higher+Education%22">Higher Education</searchLink><br /><searchLink fieldCode="EL" term="%22Postsecondary+Education%22">Postsecondary Education</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Preservice+Teachers%22">Preservice Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Teachers%22">Secondary School Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Teachers%22">Mathematics Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Concepts%22">Mathematical Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Knowledge+Level%22">Knowledge Level</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Education%22">Mathematics Education</searchLink><br /><searchLink fieldCode="DE" term="%22Teacher+Competencies%22">Teacher Competencies</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Attitudes%22">Student Attitudes</searchLink><br /><searchLink fieldCode="DE" term="%22Capstone+Experiences%22">Capstone Experiences</searchLink><br /><searchLink fieldCode="DE" term="%22Methods+Courses%22">Methods Courses</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Logic%22">Mathematical Logic</searchLink> – Name: Subject Label: Geographic Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Missouri%22">Missouri</searchLink> – Name: ISSN Label: ISSN Group: ISSN Data: 1442-3901 – Name: Abstract Label: Abstract Group: Ab Data: This study explores how preservice secondary mathematics teachers comprehend and apply advanced mathematical concepts to the content they will teach in K-12 classrooms. Responding to student inquiries and guided by the "Mathematical Education of Teachers II" recommendations, an innovative capstone course was developed and integrated into the mathematics education program to bridge the gap between college level mathematics and secondary instruction. The course was designed to foster meaningful mathematical connections through assignments and guided reflection, enhancing preservice teachers' ability to connect advanced concepts to secondary teaching. Employing a generic qualitative research design with thematic analysis, written reflections from five preservice teachers in their final semester of a teacher preparation program at Northwest Missouri State University were analysed. The purpose of the written reflection was to help these teachers examine their evolving mathematical thinking and instructional planning. The findings indicate that participants transitioned from procedural to conceptual reasoning, developed heightened awareness of mathematical interconnectivity, and gained confidence in designing lessons that integrate advanced mathematics. These results suggest that purposefully designed capstone courses can strengthen preservice teachers' pedagogical effectiveness and promote curricular coherence. Further, it is recommended teacher preparation programs prioritise connecting advanced mathematics to school level instruction. – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: DateEntry Label: Entry Date Group: Date Data: 2025 – Name: AN Label: Accession Number Group: ID Data: EJ1486457 |
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| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 15 Subjects: – SubjectFull: Preservice Teachers Type: general – SubjectFull: Secondary School Teachers Type: general – SubjectFull: Mathematics Teachers Type: general – SubjectFull: Mathematical Concepts Type: general – SubjectFull: Knowledge Level Type: general – SubjectFull: Mathematics Education Type: general – SubjectFull: Teacher Competencies Type: general – SubjectFull: Student Attitudes Type: general – SubjectFull: Capstone Experiences Type: general – SubjectFull: Methods Courses Type: general – SubjectFull: Mathematical Logic Type: general – SubjectFull: Missouri Type: general Titles: – TitleFull: Preservice Teachers' Perspectives on Connections within Mathematical Concepts: A Qualitative Study Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sara D. Sony IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 1442-3901 Numbering: – Type: volume Value: 27 – Type: issue Value: 2 Titles: – TitleFull: Mathematics Teacher Education and Development Type: main |
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