Rethinking Mathematical Concepts with the Lens of the History of Mathematics: An Experiment with Prospective Secondary Teachers
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Most of the literature surrounding the reading of primary sources in math has centered on increasing the use of historical mathematical literature and assessing the efficacy of integrating such texts in the undergraduate math classroom.
“Instead, most of the literature surrounding the reading of primary sources in math has centered on increasing the use of historical mathematical literature and assessing the efficacy of integrating such texts in the undergraduate math classroom (Jahnke et al., 2002; Fenaroli et al., 2014; Jankvist, 2014; Barnett, 2022).”
From Reading Primary Scientific Literature: Approaches for Teaching Students in the Undergraduate STEM Classroom (2023) · cites this paper as Fenaroli et al., 2014
Cites
The Reflective Practitioner: How Professionals Think in Action
Checkoway, B. N., & Schön, D. A. (1985) · Journal of Policy Analysis and Management · doi:10.2307/3324262 · Cited by 21,311 · see citing works
The reflective practitioner: How professionals think in action
Stewart, C. J. (1984) · Patient Education and Counseling · doi:10.1016/0738-3991(84)90022-3 · Cited by 19,751 · see citing works
Knowledge and teaching: Foundations of the new reform
Shulman, L. (1987) · Harvard Educational Review · doi:10.17763/haer.57.1.j463w79r56455411 · Cited by 16,787 · see citing works
Speech Genres and Other Late Essays
Bakhtin, M. M. (1986) · University of Texas Press eBooks · doi:10.7560/720466 · Cited by 9,079 · see citing works
(2014) · Palgrave Macmillan eBooks · doi:10.1057/9781137399595.0007 · Cited by 8,328 · see citing works
Handbook of research on mathematics teaching and learning
(1992) · Choice Reviews Online · doi:10.5860/choice.30-2122 · Cited by 6,128 · see citing works
Content Knowledge for Teaching: What Makes It Special?
Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008) · Journal of Teacher Education · doi:10.1177/0022487108324554 · Cited by 5,388 · see citing works
Speech Genres and Other Late Essays
Melaver, M., Bakhtin, M. M., McGee, V. W., Emerson, C. G., & Holquist, M. (1987) · Poetics Today · doi:10.2307/1772598 · Cited by 3,185 · see citing works
Second Handbook of Research on Mathematics Teaching and Learning.
Lester, F. (2007) · Cited by 3,090 · see citing works
Handbook of International Research in Mathematics Education
Pepin, B., Gueudet, G., Yerushalmy, M., Trouche, L., Chazan, D. I., English, L. D., & Kirshner, D. (2015) · Routledge eBooks · doi:10.4324/9780203448946 · Cited by 1,018 · see citing works
Encyclopedia of Life Support Systems (EOLSS)
Cock, I. E. (2011) · Pharmacognosy Communications · doi:10.5530/pc.2011.2.10 · Cited by 794 · see citing works
Griffiths, H. B. (1995) · The Mathematical Gazette · doi:10.2307/3620036 · Cited by 763 · see citing works
Handbook of International Research in Mathematics Education
English, L. D. (2002) · Routledge eBooks · doi:10.4324/9781410602541 · Cited by 635 · see citing works
Context Problems in Realistic Mathematics Education: A Calculus Course as an Example
Gravemeijer, K. P. E., & Doorman, M. (1999) · Educational Studies in Mathematics · doi:10.1023/a:1003749919816 · Cited by 500 · see citing works
Wilson, S. M., Floden, R. E., & Ferrini‐Mundy, J. (2002) · Journal of Teacher Education · doi:10.1177/0022487102053003002 · Cited by 414 · see citing works
The Historical Development of the Calculus
Edwards, C. H. (1979) · Springer eBooks · doi:10.1007/978-1-4612-6230-5 · Cited by 411 · see citing works
Advanced Mathematical Thinking
Tall, D. O. (1991) · Springer eBooks · doi:10.1007/0-306-47203-1 · Cited by 376 · see citing works
Smith, D. E. (1958) · CERN Document Server (European Organization for Nuclear Research) · Cited by 354 · see citing works
Elementary mathematics from an advanced standpoint
(1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)91081-9 · Cited by 289 · see citing works
The Psychology of Advanced Mathematical Thinking
Tall, D. O. (2002) · Springer eBooks · doi:10.1007/0-306-47203-1_1 · Cited by 277 · see citing works
Preservice mathematics teachers’ knowledge and development
da Ponte, J. P., & Chapman, O. (2015) · Routledge eBooks · doi:10.4324/9780203930236.ch11 · Cited by 161 · see citing works
Teacher education through the history of mathematics
Furinghetti, F. (2007) · Educational Studies in Mathematics · doi:10.1007/s10649-006-9070-0 · Cited by 110 · see citing works
Self-citationThe use of original sources in the mathematics classroom
Jahnke, H. N., Arcavi, A., Barbin, E., Bekken, O., Furinghetti, F., El Idrissi, A., da Silva, C. M. S., & Weeks, C. (2002) · New ICMI Study Series · doi:10.1007/0-306-47220-1_9 · Cited by 108 · see citing works
Self-citationWhat Myths About Mathematics are Held and Conveyed by Teachers?
Frank, M. L. (1990) · The Arithmetic Teacher · doi:10.5951/at.37.5.0010 · Cited by 103 · see citing works
Using Technology to Support an Embodied Approach to Learning Concepts in Mathematics
Tall, D. O. (2004) · Cited by 84 · see citing works
Tall, D. O. (2003) · Choice Reviews Online · doi:10.5860/choice.41-0352 · Cited by 82 · see citing works
Begle Revisited: Teacher Knowledge and Student Achievement in Algebra
Eisenberg, T. A. (1977) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc.8.3.0216 · Cited by 60 · see citing works
A graphical approach to integration and the fundamental theorem
Tall, D. O. (2026) · Warwick Research Archive Portal (University of Warwick) · doi:10.82444/warw.33479029 · Cited by 43 · see citing works
Begle Revisited: Teacher Knowledge and Student Achievement in Algebra
Eisenberg, T. A. (1977) · Journal for Research in Mathematics Education · doi:10.2307/748523 · Cited by 42 · see citing works
Should a Mathematics Teacher Know Something about the History of Mathematics
Freudenthal, H. W. L. (1981) · for the learning of mathematics · Cited by 40 · see citing works
History and Epistemology in Mathematics Education
Barbin, É., Fried, M. N., Menghini, M., & Tortoriello, F. S. (2025) · Trends in the history of science · doi:10.1007/978-3-031-86870-2 · Cited by 40 · see citing works
The teaching of elementary mathematics
Smith, D. E. (1900) · Cited by 28 · see citing works
History of mathematics for trainee teachers
Schubring, G., Cousquer, É., Fung, C.-I., et al. (2002) · New ICMI studies series · doi:10.1007/0-306-47220-1_4 · Cited by 27 · see citing works
The Autonomy of Mental Models.
Fischbein, E. (1990) · for the learning of mathematics · Cited by 27 · see citing works
Introduction The topos of meaning or the encounter between past and present
Radford, L., Furinghetti, F., & Katz, V. (2007) · Educational Studies in Mathematics · doi:10.1007/s10649-006-9076-7 · Cited by 25 · see citing works
Self-citationTeaching with Primary Historical Sources: Should it Go Mainstream? Can it?
Pengelley, D. (2011) · doi:10.5948/upo9781614443001.002 · Cited by 20 · see citing works
The Advisability of Including Some Instruction in the School Course on the History of Mathematics
Barwell, M. E. (1913) · The Mathematical Gazette · doi:10.2307/3603856 · Cited by 19 · see citing works
Why calculus cannot be made easy
Schwarzenberger, R. L. E. (1980) · The Mathematical Gazette · doi:10.2307/3615117 · Cited by 18 · see citing works
The periodico di matematica (1886-1946)
Nurzia, L. (1993) · Dialnet (Universidad de la Rioja) · Cited by 13 · see citing works
Donoghue, E. F. (2006) · Paedagogica Historica · doi:10.1080/00309230600806831 · Cited by 12 · see citing works
The Teaching of Elementary Mathematics
Rosenbaum, E. P. (1958) · Scientific American · doi:10.1038/scientificamerican0558-64 · Cited by 11 · see citing works
Lawrence, S. (2009) · Research Space · Cited by 10 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Goudsouzian, L. K., & Hsu, J. L. (2023) · CBE - Life Sciences Education · doi:10.1187/cbe.22-10-0211 · Cited by 26 · see citing works
“Instead, most of the literature surrounding the reading of primary sources in math has centered on increasing the use of historical mathematical literature and assessing the efficacy of integrating such texts in the undergraduate math classroom (Jahnke et al., 2002; Fenaroli et al., 2014; Jankvist, 2014; Barnett, 2022…”
Background
- Authors
- Fenaroli, G., Furinghetti, F., & Somaglia, A.
- Affiliations
- University of Genoa (IT)
- Corresponding author
- Furinghetti, Fulvia
- ORCID
- Furinghetti, Fulvia
- Venue
- Science & Education
- Published
- 2013-09-27
- Volume
- 23
- Issue
- 1
- Pages
- 185-203
- ISSN
- 0926-7220 (ISSN-L)
- 1573-1901
- OpenAlex
- W2170415043
- Cited by
- 11
- References
- 42
- Citations by year
- 2023: 1 · 2022: 1 · 2021: 1 · 2020: 2 · 2018: 2 · 2017: 1 · 2015: 3
- FWCI
- 9.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Science & Education (publishedVersion)
- CINECA IRIS Institutial Research Information System (University of Genoa) (submittedVersion)
- Funders
- College of Engineering, Michigan State University
- Topics
- Physical Sciences › Mathematics › Theoretical Computer Science › History and Theory of Mathematics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Sociology and Political Science › Educator Training and Historical Pedagogy
- Keywords
- history of mathematics, prospective secondary teachers, teacher professional development, mathematics teacher education, mathematical concepts, teacher beliefs, didactic sequence design, senior high school mathematics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
