Contact Information
Office
Program for Science and
Technology Education
Ben-Gurion University of the Negev
P.O.B. 653, Beer-Sheva 84105 ISRAEL
Tel. 08-647-9657
e-mail: mfried@bgu.ac.il
Home
Kibbutz Revivim
D. N. Halutsa
85515
Tel. 08-656-2494
Education:
B.A. 1982 - St.
John’s College, Annapolis, Maryland - Liberal Arts.
M.Sc. 1984 - SUNY at Stony Brook -
Applied Mathematics.
Ph.D. 2000
- Tel Aviv University (Cohn Institute for the History and
Philosophy of Science and Ideas) - History of Mathematics.
Synopsis of Research
My work is divided between mathematics education and the history
of mathematics, sometimes treated together. Related to the first is
my work in the Learners Perspective Study, an international effort dedicated to
exploring and identifying classroom practices by means of video technology. In the context of that study, I have investigated
such subjects as student writing and notebooks and authority relations within
the classroom. I have also pursued purely pedagogical questions and
take such issues very seriously. As for the history of mathematics,
my main work has concerned ancient mathematics, especially the mathematician
Apollonius of Perga.
This work has led me to historiographical questions and “implicit
historiographies,” that is, how mathematicians of the past viewed their own
past and their relationship to it. The
work I have done on Halley’s reconstructions of Apollonius’s work is connected
to this. My historical and educational
interests come together in my thinking about how history
of mathematics is used in the classroom.
I have taken a critical view of this; however, that view is based on the
hope that a truly ‘humanistic mathematics’ is possible where historical texts
are not used merely as tools but as texts worthy of reflecting upon, no less
than great poetry and literature.
Scientific Publications:
Books:
English
1.
Fried, Michael N. (Ed.). (To appear in 2024) A Cultural History of Mathematics,
Volume 1: The Ancient World. Bloomsbury
(270 pp.)
2.
Barbin, E., Capone, R., Fried, M.
N. Menghini, M. Pinto H., Tortoriello, F. S. (Eds) (2023) History and
Epistemology in Mathematics Education: Proceedings of the 9th
European Summer University.
University of Salerno.
3.
Fried, Michael N. & Dreyfus,
Tommy (Eds) (2014). Mathematics &
Mathematics Education: Searching for Common Ground. New York:
Springer (Advances in Mathematics Education). (402
pp.).
4.
Fried, Michael N. (2011) Edmund
Halley's Reconstruction of the Lost Book of Apollonius' Conics: Translation
from Latin, Introduction and Commentary. New York: Springer (140
pp.)
5.
Fried, Michael N. (2002). Apollonius of Perga’s Conics,
Book IV: Translation, Introduction, and Diagrams. Santa
Fe, NM, USA: Green Lion Press (100 pp.)
6.
Fried, Michael
N. & Unguru, Sabetai
(2001). Apollonius of Perga’s Conica: Text, Context, Subtext. Leiden, The Netherlands:
Brill Academic Publishers (499 pp.)
Hebrew
1. Bookh, Zehava; Zeltser,
Igor; Toovy, Jacob; Satianov,
Pavel; Fried, Michael N. (2002). The Holistic
Approach to Teaching Geometry. Beer Sheva: Mateh Malam (186 pp).
Journal Articles:
1.
Fried, Michael (1990). A
Transparency Setup for Composite Functions. Aleh,
6, 67-70. (Hebrew)
2.
Fried, Michael (1990). A
Different Point of View on the Point of Intersection of Two Straight
lines. Misparim, 3, 68-69. (Hebrew)
3.
Fried, Michael
(1991). Uses for Number Bases. Aleh, 9, 69-71. (Hebrew)
4.
Unguru, Sabetai &
Fried, Michael, (1996). On the Synthetic-Geometric
Character of Apollonius’s Conica. Mathesis,
12, pp.148-223
5.
Unguru, Sabetai,
& Fried, Michael, (1996). Apollonius of Perga, Hieronimus of Grimstrup, and Richard
of New York: On This (History) and That (Neo-Historicism). Zmanim, 55, 42-53 (Hebrew).
6.
Satianov, Pavel; Fried, Michael; Miriam
Amit, (1999). Broken-Line Functions on Unbroken
Domains. Mathematics Teacher, 92,
pp.574-577.
7.
Amit, Miriam; Fried, Michael
N.; Satianov, Pavel, (2001). The
Equation of a Triangle. Mathematics Teacher, 94, pp.362-364.
8.
Fried, Michael N.,
(2001). Can Mathematics Education and History of Mathematics Coexist? Science & Education, 10(4), pp.391-408.
9.
Amit, Miriam
& Fried, Michael N., (2002). High-Stake Assessment as a Tool for
Promoting Mathematical Literacy and the Democratization of Mathematics Education. Journal
of Mathematical Behavior, 21, pp.499-514.
10.
Fried, Michael N. (2003). Mathematics for All as Humanistic Mathematics. Humanistic Mathematics Network Journal,
27 (Internet
Journal), http://www2.hmc.edu/www_common/hmnj/index.html.
11.
Fried, Michael N.,
(2003). The Use of Analogy in Book VII of Apollonius’ Conica. Science
in Context, 16(3), pp.349-365.
12.
Fried, Michael
N.& Amit, Miriam (2003). Some Reflections on Mathematics
Classroom Notebooks and Their Relationship to the Public and Private Nature of
Student Practices. Educational Studies in Mathematics, 53,
pp. 91-112.
13.
Fried, Michael N.
(2003). Music and Mathematics. Aleh, 30, 50-60. (Hebrew)
14.
Fried, Michael N. (2004). Steiner and Euclid: The Emergence of Mathematics as the
Science of Patterns. Convergence (Internet
Journal of the Mathematics Association of America (MAA)), http://convergence.mathdl.org.
15.
Amit, Miriam; Fried, Michael
N.; Satianov, Pavel (2004). Area
of Convex Regions as a Unifying Theme for the Review of Some Topics in
First-Year College Courses International Journal of Mathematical
Education in Science and Technology, 35(1), pp.135-143.
16.
Fried, Michael N. (2004). A Note on the Opposite Sections and Conjugate Sections in
Apollonius of Perga’s Conica. The St. John’s Review, 47(1), pp.91-114.
17.
Amit, Miriam
& Fried, Michael N. (2005). Authority and Authority Relations
in Mathematics Education: A View from an 8th Grade
Classroom. Educational Studies in Mathematics, 58, pp.145-168.
18.
Eshach, Haim & Fried, Michael N.
(2005). Should Science be Taught in Early
Childhood? Journal of Science Education
and Technology, 14(3), 315-336.
19.
Fried, Michael
N. & Amit, Miriam (2005). A Spiral Task as a Model for
In-Service Teacher Education. Journal of
Mathematics Teacher Education, 8(5), 419-436.
20.
Amit, Miriam; Fried, Michael N.;
Abu-Naja, Mohammed (2007). The Mathematics Club for Excellent
Students as Common Ground for Bedouin and Other Israeli Youth. The
Montana Mathematics Enthusiast, 4 (Special Issue on International Perspectives
on Social Justice in Mathematics Education), pp. 75-90.
21.
Fried, Michael N.
(2007). Didactics and History of Mathematics: Knowledge and
Self-Knowledge. Educational Studies in Mathematics, 66(2),
203-223.
22.
Unguru, Sabetai & Fried, Michael N. (2007). Apollonius, Davidoff, Rorty,
and Zeuthen: From A to Z, or, What Else Is
There? Sudhoffs Archiv, 91(1), 1-19.
23.
Satianov, Pavel & Fried, Michael N.
(2007). Does a Cube Have an Equation? Teaching
Mathematics and Its Applications, 26(4), 187-195.
24.
Fried, Michael N.,
(2008). History of Mathematics in Mathematics Education: A Saussurean Perspective. The Montana
Mathematics Enthusiast, 5(2), 185-198.
25.
Fried, Michael N.
(2008). ICMI, the History of Mathematics, and the Future of
Mathematics Education. International Journal for the History of
Mathematics Education, 8(3), 103-108.
26.
Fried, Michael
N. & Amit, M. (2008). The Co-Development and
Interrelation of Proof and Authority: The Case of Yana and Ronit. Mathematics
Education Research Journal 20(3), 54-77.
27.
Eisenberg, T.
& Fried, Michael N. (2009). Dialogue on Mathematics Education:
Two Points of View on the State of the Art. Zentralblatt für Didaktik der Mathematik 41(1),
143-150.
28.
Fried, Michael N.
(2009). Similarity and Equality in Greek Mathematics: Semiotics,
History of Mathematics and Mathematics Education. For
the Learning of Mathematics, 29(1), 2-7.
29.
Fried, Michael N.
(2010). Some Reflections on Hernández
and López’s Reflections on the Chain rule. The Montana
Mathematics Enthusiast, 7(2), 333-338.
30.
Fried, Michael N. & Goldberg,
Mayer (2010). A Pumping Lemma for Invalid Reduction of
Fractions. College Mathematics Journal (Mathematics Association
of America), 44(5), 357-364.
31.
Fried, Michael N. (2011). Theories for, in,
and of Mathematics Education: Review Essay of Bharath Sriraman and
Lyn English (Eds.). Theories of Mathematics Education: Seeking
New Frontiers. Interchange, 42(1),
81-95.
32.
Fried, Michael N.
(2011). Signs for You and Signs for Me: The Double Aspect of
Semiotic Perspectives. Educational Studies in Mathematics,
77(3), 389-397.
33.
Fried, Michael N.
(2014). Equality in Euclid and Apollonius: What
It Means to be Exactly the Same. (In Danish) AIGIS Supplementum III (Internet
Journal) http://aigis.igl.ku.dk/CMT80/Forside.htmlhttp://aigis.igl.ku.dk/CMT80/Forside.html
34.
Fried, Michael N. (2014). Similarity and Equality in Euclid and
Apollonius. St. John’s Review, 55(2), pp.17-40
35.
Fried, Michael N. (2014). The Discipline of History and the “Modern Consensus in the
Historiography of Mathematics.” Journal of Humanistic Mathematics, 4(2),
124-136.
36.
Fried, Michael N. and Jahnke,
Hans Niels (2015). Otto Toeplitz’s 1927 Paper on the Genetic Method
in the Teaching of Mathematics. Science in
Context, 28 (2), pp.285-295 (Included is an annotated
translation by Fried and Jahnke of Toeplitz, “The Problem of
University Courses on Infinitesimal Calculus and Their Demarcation from
Infinitesimal Calculus in High Schools,” same issue, pp.297-310)
37.
Fried, Michael N. (2018). Ways of Relating to Mathematics of the Past. Journal
of Humanistic Mathematics, 8(1), 3-23.
38.
Tishler, Chagit;
Ben Zvi Assaraf, Orit; Fried, Michael N (2020). How Do Visitors from Different Cultural Backgrounds
Perceive the Messages Conveyed to Them by Their Local Zoo? Interdisciplinary
Journal of Environmental and Science Education, 16(3). Online
only: https://doi.org/10.29333/ijese/8335
39.
Fried, Michael N. (2021). An Observation about First-Order Linear
ODEs. The College Mathematics Journal
(Mathematics Association of America), 52(2), 137-139
40.
Swidan, Osama; Fried, Michael N.
(2021). Focuses of Awareness in the Process of Learning the
Fundamental Theorem of Calculus with Digital Technologies. Journal of Mathematical Behavior,
62. https://doi.org/10.1016/j.jmathb.2021.100847
41.
Fried, Michael N. (2021). From Any Two Directly Similar Figures,
Produce a New One. International
Journal of Geometry, 10(3), 90-94.
42.
Fried, Michael N. (2021). Po-Shen Loh’s Method and Others for Solving
Quadratic Equations: Historical and Educational Perspectives.
(Hebrew) Aleh, 59, 7-14.
43.
Fried, Michael N. (2022). Adaptive instruction, inquiry-based mathematical learning,
and the Galileo experiment: Some historical reflections. The
Journal of Mathematical Behavior, 66.
https://doi.org/10.1016/j.jmathb.2022.100968
44.
Fried, Michael N. (2022). Locus Problems Concerning Centroids of a Cyclic
Quadrilateral and Two Classic Cubic Curves.
Mathematical Gazette 106(566), 247-257
https://doi.org/10.1017/mag.2022.65
45.
Fried, Michael N. (2022) Edmond
Halley and Apollonius: second-order historical knowledge in mathematics
education. ZDM Mathematics Education (2022).
https://doi.org/10.1007/s11858-022-01391-1
46.
Fried, Michael N. (2022). Axioms and Postulates: Ancient and Modern. (Hebrew). Aleh, 60, 1-4
47.
Jaber, Otman; Swidan, Osama; Fried,
Michael N. (accepted). Design considerations in
developing an augmented reality learning environment for engaging students in
covariational reasoning. International Journal of Emerging
Technologies in Learning (iJET)
Chapters in Anthologies and Articles
in Encyclopedias
1.
Fried,
Michael N. (Accepted). Ontology in the History and
Philosophy of Mathematical Practice: An Introduction. In Bharath Sriraman (Ed.) Handbook of the
History and Philosophy of Mathematical Practice. Springer. https://doi.org/10.1007/978-3-030-19071-2_123-1
2.
Swidan,
Osama; Fried, Michael N.; Schacht, Florian; Soldano, Carlotta; Jaber, Otman. (Accepted).
Augmented Reality Rich Environment: Designing for Mathematics
Education. In Birgit Pepin, Ghislaine Gueudet, Jeff Choppin (eds.), Handbook of Digital
Resources in Mathematics Education, Springer.
3.
Fried,
Michael N. (2020). Authority and
Mathematics Education (updated). In
Lerman, S. Encyclopedia of Mathematics Education, pp.69-72. Springer. Online
first: https://doi-org.ezproxy.bgu.ac.il/10.1007/978-3-030-15789-0_14
4.
Fried,
Michael N. (2019). Conic sections (new
version). In R. S. Bagnall, K. Brodersen, C. B.
Champion, A. Erskine, & S. R. Huebner (eds.), The Encyclopedia of
Ancient History. Wiley-Blackwell.
doi: https://doi.org/10.1002/9781444338386.wbeah21091.pub2
5.
Fried,
Michael N. (2019) “conic sections.” In Oxford Research Encyclopedia of
Classics. Oxford University Press. Article published February 2019. doi: http://dx.doi.org/10.1093/acrefore/9780199381135.013.8161.
6.
Fried,
M. N. (2019). Apollonios of Perge. In
The Encyclopedia of Ancient History (eds R. S. Bagnall, K. Brodersen, C.
B. Champion, A. Erskine and S. R. Huebner). Wiley. doi:10.1002/9781444338386.wbeah21031.pub2
7.
Swidan, Osama; Schacht, Florian;
Sabena, Cristina; Fried, Michael N.; El-Sana, Jihad; Arzarello,
Ferdinando (2019). Engaging Students in Covariational
Reasoning within an Augmented Reality Environment. In T. Prodromou
(ed.), Augmented Reality in Educational Settings, pp.147-167. Leiden, (The Netherlands): Brill/Sense
8.
Fried, Michael N. (2019). Bildung and Paideia
and Their Presence in Some Undergraduate Programs. In H. N. Jahnke & L. Hefendehl-Hebeker
(Eds.), Traditions in German-Speaking Mathematics Education Research,
pp.132-139. Chalm,
Springer.
9.
Fried, Michael N. (2018) History of
Mathematics, Mathematics Education, and the Liberal Arts. G. Kaiser, H. Forgasz,
M. Graven, A. Kuzniak, E. Simmt,
B. Xu, (Eds), Invited
Lectures for the 13th International Congress on Mathematics
Education, pp.85-102. New York: Springer.
10.
Fried, Michael N., Perl, Hannah, Arcavi, Abraham. 2018). Highlights in
the Development of Education and Mathematics Education in the State of
Israel. In Nitsa Movshovitz-Hadar (Ed.) K-12 Mathematics
Education in Israel: Issues and Innovations, pp.3-19. Singapore:
World Scientific Publishing Co.
11. Fried, Michael N. (2018) History of
Mathematics, Mathematics Education, and the Liberal Arts. G. Kaiser, H. Forgasz,
M. Graven, A. Kuzniak, E. Simmt,
B. Xu, (Eds), Invited
Lectures for the 13th International Congress on Mathematics
Education, pp.85-102. New York: Springer.
12.
Fried, Michael N. and Amit, Miriam
(2016). Reform as an Issue for Mathematics Education
Research: Thinking about Change, Communication, and Cooperation. In
L. English and D. Kirshner, Handbook of International Research in
Mathematics Education, 3rd Edition, pp.257-274.
13.
Fried, Michael N. (2015). Musings about Models and Modeling in
Mathematics. In C. Bergsten and B. Sriraman, Refractions
of Mathematics Education, pp.77-87. Charlotte, NC: Information
Age Publishing, Inc.
14.
Fried, Michael N. (2014). History of Mathematics and Mathematics
Education. In Michael Matthews (ed.), History,
Philosophy and Science Teaching Handbook, Volume I, pp.669-705. New York: Springer.
15.
Fried, Michael N.
(2014). Mathematicians, Historians of Mathematics, Mathematics
Teachers, and Mathematics Education Researchers: The Tense but Ineluctable
Relations of Four Communities. In M. N. Fried & T. Dreyfus
(Eds.) Mathematics & Mathematics Education: Searching for Common
Ground, pp. 94-98. New York: Springer.
16.
Fried, Michael N.
(2014). Mathematics and Mathematics Education: Beginning a Dialogue
in an Atmosphere of Increasing Estrangement. In M. N. Fried & T.
Dreyfus (Eds.) Mathematics & Mathematics Education: Searching for
Common Ground, pp. 25-33. New York: Springer.
17.
Fried, Michael N.
(2014). Mathematics & Mathematics Education: Searching for
Common Ground. In M. N. Fried & T. Dreyfus (Eds.) Mathematics
& Mathematics Education: Searching for Common Ground, pp. 3-22. New York: Springer.
18.
Fried, Michael N.
(2013). Apollonius of Perga. In R. S. Bagnall, K. Brodersen, C. B. Champion,
A. Erskine, & S. R. Huebner (eds.), The Encyclopedia of Ancient
History. Wiley-Blackwell., pp.553-554
19.
Fried, Michael N.
(2013). Conic sections. In R.
S. Bagnall, K. Brodersen, C. B. Champion, A. Erskine, & S. R.
Huebner (eds.), The Encyclopedia of Ancient History. Wiley-Blackwell. pp.1707-1708
20.
Fried, Michael N.
(2012). Euclid’s Book on the Regular Solids: Its Place in
the Elements and Its Educational Value. In
B. Sriraman (Ed.), Crossroads in the History of Mathematics
and Mathematics Education, pp. 173-196. Charlotte, NC:
Information Age Publishing.
21.
Fried, Michael N.
(2012). Authority. In S. Lerman (Ed.) Encyclopedia
of Mathematics Education. pp.51-54. New York: Springer Reference
22.
Fried, Michael N.
(2011). A Note on Tolerance: Locke, Mill, and Lessing. In
Joseph P. Cohen (Ed.), Fruits of Friendship: Seven Essays in Honor of
Laurence Berns., pp. 65-76. Annapolis, MD: Free State
Press, Inc
23.
Fried, Michael N.
(2008). Between Public and Private: Where Our Mathematical Selves
Reside. In L. Radford, G. Schubring, and F. Seeger
(eds.), Semiotics in Mathematics Education:
Epistemology, History, and Culture,
pp.121-138. Rotterdam, The Netherlands: Sense Publishers.
24.
Amit, Miriam
& Fried, Michael N. (2008). The Complexities of Change: Aspects
of Reform and Reform Research in Mathematics Education. In Lyn
English (ed.), Handbook of International Research in Mathematics Education,
2nd Edition, pp.385-414. New
York: Routledge.
25.
Amit, Miriam
& Fried, Michael N. (2006). Mathematics Education
in Israel: An Overview. In D. Clarke, C. Keitel,
Y. Shimizu (ed.). Mathematics
Classrooms in 12 Classrooms: The Insiders’ Perspective, pp.
345-349. Rotterdam, The Netherlands: Sense Publishers.
26.
Fried, Michael
N. & Amit, Miriam (2006). The Israeli Classroom: A
Meeting Place for Dichotomies. In D. Clarke, C. Keitel,
Y. Shimizu (ed.). Mathematics
Classrooms in 12 Classrooms: The Insiders’ Perspective, pp.
209-220. Rotterdam, The Netherlands: Sense Publishers.
27.
Amit, Miriam
& Fried, Michael N. (2002). Curriculum Reforms in Mathematics
Education. In Lyn English (ed.), Handbook of
International Research in Mathematics Education, pp.355-382. Mahwah, New Jersey: Lawrence Erlbaum Associates,
Inc., Publishers.
Book Reviews
1.
Review of A. Watson & J. Mason. Mathematics as Constructive Activity,
Lawrence Erlbaum, 2005, Zentralblatt für Didaktik der Mathematik, 38 (2),
209-211.
2.
Review of Alice F. Artzt, Eleanor Armour-Thomas,
and Frances R. Curcio. Becoming a
Reflective Mathematics Teacher: A Guide for Observations and Self-Assessment, Lawrence
Erlbaum Associates, 2008. Mathematical Thinking
and Learning, 11(3), 183-186.
3.
Review of M. Menghini, F. Furinghetti,
L. Giacardi, L. and F. Azarello,
(Eds.). The First Century of the International Commission on
Mathematical Instruction (1908-2008): Reflecting and Shaping the World of
Mathematics Education. Instituto della Enciclopedia Italiana, 2008. Zentralblatt für Didaktik der Mathematik, 41 (4), 521-524.
4.
Review of Nathalie Sinclair. The History of the Geometry Curriculum in the
United States. Information Age Publishing, Inc.,
2008. Mathematical Thinking and Learning, 12(3), 253-257.
5.
Review of Steven Strogatz. The Calculus of Friendship. Princeton:
Princeton University Press, 2009. Mathematical
Thinking and Learning, 14(1), 81-83.
6.
Review of Reviel Netz. Ludic Proof: Greek Mathematics and the Alexandrian
Aesthetic. Cambridge
University Press, 2009. ISIS 102(4), 753-754.
7.
Review of Wolff-Michael Roth &
Luis Radford. A Cultural-Historical Perspective on Mathematics
Teaching and Learning. Rotterdam, The
Netherlands: Sense Publishers (Semiotic Perspectives on the Teaching and
Learning of Mathematics Series), 2011. Mathematical Thinking and
Learning, 15(1), 83-88.
8.
Review of
Erna Yackel, Koeno Gravemeijer, &
Anna Sfard (Editors). A Journey in
Mathematics Education Research: Insights from the Work of Paul
Cobb. Springer (Mathematics Education Library, Volume 48),
2011. Mathematical Thinking and Learning, 15(3),
228-233.
9.
Review
of Nerida F. Ellerton and M. A. (Ken)
Clements. Abraham Lincoln’s Cyphering Book and Ten Other
Extraordinary Cyphering Books. Springer, 2014. Mathematical
Thinking and Learning, 17(4), 327-332.
10.
Review of Alexander Karp
and Gert Schubring (Eds.). Handbook on the History
of Mathematics Education. Springer,
2014. Research in Mathematics Education, 17(3), 251-256.
11.
Review of Snezana Lawrence
and Mark McCartney (Eds.). Mathematicians & Their Gods:
Interactions between Mathematics and Religious Beliefs. Oxford
University Press, 2015. Mathematical Thinking and Learning, 19(3),
202-207
12.
Review of Vicky Neale, Closing the Gap: The Quest
to Understand Prime Numbers. Oxford University Press, 2017. Mathematical Thinking and Learning, 20(3),
248-250.
13.
Review of Geoff Lehman and Michael
Weinman, The Parthenon and Liberal Education. State University Press (SUNY), 2018. Ancient History Bulletin, 8, 111-116.
14.
Review of Limin Jao and Nenad
Radakovic (eds). Transdisciplinarity
in Mathematics Education: Blurring Disciplinary Boundaries. Springer, 2018. Mathematical Thinking and Learning, 21(4),
DOI: 10.1080/10986065.2019.1640495
15.
Review of Alexandre Borovik and
Tony Gardiner, The Essence of Mathematics through Elementary Problems. Open Book Publishers, 2019. Mathematical Thinking and Learning. DOI: 10.1080/10986065.2020.1788837
16.
Review of Évelyne Barbin,
Marta Menghini, & Klaus Volkert (Eds.) Descriptive Geometry, the Spread of a Polytechnic Art: the Legacy of Gaspard Monge. Springer, 2019. Educational Studies in
Mathematics, 106(2), 313-321 https://doi.org/10.1007/s10649-020-10013-0
17.
Review of Luis Radford, Theory of
Objectification: A Cultural-Historical Theory of Learning, Knowing, and
Becoming, Mathematical Thinking and Learning (2021), https://doi.org/10.1080/10986065.2021.1984070
18.
Review of Mogens Niss and Werner Blum. The Learning
and Teaching of Mathematical Modelling. Routledge
(IMPACT series) (2020). Mathematical
Thinking and Learning, 24(2), 176-180.
https://doi.org/10.1080/10986065.2022.2056676
Scientific Reports
1. Fried, Michael N. & Jahnke, Hans
Niels. (2013). Otto Teoplitz “The
Problem of University Infinitesimal Calculus and Their Demarcation from
Infinitesimal Calculus in High Schools” Schriftenreihe der Fakultät für Mathematik. Preprint
series, number SM-UDE-773 (21 pages)
2. Unguru, Sabetai &
Fried, Michael N., (1998). Apollonius of Perga, Hieronimus of Grimstrup,
and Richard of New York: Gloomy Thoughts on History and Neohistoricism Max-Plank-Institute furWissenschaftsgeschichte, Preprint
series, number 86 (15 pages).
Other
Mathematical problem
solutions and citations
Solutions published:
1. School Science and Mathematics Journal, 120(6), 2020: problem 5578
2. School Science and Mathematics Journal, 120(2), 2020: problem 5560
3. School Science and Mathematics Journal, 119(3), 2019: problem 5518
4. School Science and Mathematics Journal, 117(7-8), 2017: problem 5451
5. School Science and Mathematics Journal, 114(4), 2014: problem 5286
6. School Science and Mathematics Journal, 110(4), 2010: problem 5093
7. School Science and Mathematics Journal, 110(2), 2010: problem 5084
8. School Science and Mathematics Journal, 110(1), 2010: problem 5075
Solutions cited:
1. School Science and Mathematics Journal, 120(2), 2020: problem 5563
2.
School Science and Mathematics
Journal, 117(7-8), 2017: problem 5446
3.
School Science and Mathematics
Journal, 117(5), 2017: problem 5440
4.
School Science and Mathematics
Journal, 117(3-4), 2017: problem 5432
5.
School Science and Mathematics
Journal, 114(3), 2014: problem 5277
6.
School Science and Mathematics
Journal, 111(5), 2011: problem 5134, 5136
7.
School Science and Mathematics
Journal, 111(6), 2011: problem 5142
8.
School Science and Mathematics
Journal, 110(1), 2010: problem 5074.
9.
School Science and Mathematics
Journal, 109(9), 2009: problem 5069, 5068.
10.
School Science and Mathematics
Journal, 109(4), 2009: problem 5044.
11.
School Science and Mathematics
Journal, 109(3), 2009: problem 5033.
12.
School Science and Mathematics
Journal, 109(1), 2009: problem 5027
13.
School Science and Mathematics
Journal, 108(8), 2008: problem 5027
14.
School Science and Mathematics
Journal, 108(7), 2008: problem 5016
Invited Lectures and Presentations
at Meetings and Seminars-Not Followed by Published Proceedings
1.
Reading Greek Mathematics: The Case
of Halley’s Reconstruction of Book VIII of Apollonius’ Conics. Workshop
in History of Greek Mathematics. Stanford University, Palo Alto,
CA, USA, October 2017.
2.
The Problems and Prospects of
Incorporating History of Mathematics into Mathematics
Education. Weizmann Institute, June, 2017.
3.
On Apollonius of Perga’s Conica, Book I, proposition
11. Program in Classical Philosophy, Princeton University,
February 2017
4.
History of Mathematics, Mathematics
Education, and the Liberal Arts. Invited lecture. ICME-13
conference, Hamburg, Germany, July 2016.
5. The Power of a Point: Euclid's
Elements and Steiner's Geometrical Reflections—Special Lecture Series for
the 50th Anniversary of the Santa Fe Campus of St. John’s College. St. John’s College, Santa Fe, New Mexico, USA. January, 2015.
6. Our Relationship to the
Mathematical Past. MAA-AMS Joint Conference—Short Course on
Historiography. Baltimore, Maryland, USA, March 2014
7. Similarity and Equality in Euclid
and Apollonius. Summer Lecture Series. St.
John’s College, Santa Fe, New Mexico, July 2013
8. The Varieties of Relationships to the Mathematics of the Past. Plenary lecture at
the History and Pedagogy of Mathematics North American Branch
Conference. West Point Military Academy, West Point, NY, USA, November, 2013.
9. Mathematics and Mathematics
Education: Saving a Marriage. Plenary lecture at the international
symposium Mathematics & Mathematics Education: Searching for Common
Ground: A Symposium in Honor of Ted Eisenberg. Ben-Gurion
University of the Negev. Beer Sheva, Israel, May, 2012
10. Public and Private Aspects of Mathematics and
General Education. Graduate School of Education, Rutgers University,
New Jersey, USA, September, 2011.
11. Some Theoretical Difficulties in Incorporating History of Mathematics in Mathematics
Education. Robert B. Davis Institute for Learning,
Rutgers University, New Jersey, USA, September,
2011.
12. Postures towards Mathematics of the Past:
Mathematicians, Mathematician-Historians, Historians of
Mathematics. Talk given at the Cohn Institute for the History and
Philosophy of Science and Ideas. Tel Aviv University,
Tel Aviv, Israel. January 2011.
13. Similarity in Greek Geometry: A Historico-Educational Account. Talk given at the
Mathematics Department of the University of Montana. Missoula,
Montana, USA, September, 2010.
14. History of Mathematics: Problems and Prospects
(Plenary talk). The 6th European Summer University on History and
Epistemology in Mathematics Education, Vienna, Austria.
July, 2010.
15. Ptolemy and Classical Mathematical
Astronomy. Concordia Astronomy Club, Monroe Township, New
Jersey, USA, January 28, 2010.
16. Euclid's Elements and the Regular
Solids. Weizmann Institute. Rehovot,
Israel. February, 5, 2009.
17. Euclid’s Book on the Regular
Solids: Its Place in the Elements and Its
Educational Value. Cohn Institute at 25—Celebration Colloquium. Cohn Institute for the History and Philosophy of Science
and Ideas. Tel Aviv University, Tel Aviv,
Israel. May, 11, 2008.
18. History of Mathematics and the Future of
Mathematics Education. Centennial of the International Commission
on Mathematical Instruction (ICMI). Academia dei Lincei, Rome, Italy, March
9, 2008.
19. Between Public and Private: Where Students’
Mathematical Selves Reside. The Semiotic
Approach to Mathematics, the History of Mathematics and Mathematics Education. Melle, Germany,
July 16-18, 2007.
20. Proof and Authority. Robert B. Davis
Institute for Learning, Rutgers University, USA, January 23, 2007.
21. The Co-Development of the Idea of Proof and
Students’ Sense of Authority. Department of Education in Technology
and Science, Technion, Haifa, Israel, November 21,
2006.
22. Equality
and Similarity in Greek Mathematics: Semiotics, History of Mathematics and
Mathematics Education. The Promises and Problems of a Semiotic Approach to Mathematics,
the History of Mathematics and Mathematics Education. Bielefeld, Germany, July
13-15, 2006
23. The Problem of Mathematics Education and History of
Mathematics from a Saussurean Point of
View. Semiotic and Socio-Cultural Evolution of Mathematical
Concepts: Discussion Group of the PME28 (paper
available at the website: http://www.math.uncc.edu/~sae/) Bergen University College,
Bergen, Norway, 2004.
24. A Note on the Opposite Sections and Conjugate
Sections in Apollonius of Perga’s Conica. Classical
Mathematics and Its Transformation. St. John’s College,
Annapolis, Maryland, 2004.
25. The Peculiar Nature of Apollonius’ Opposite
Sections. Edelstein Center - Hebrew University, June, 2002
26. Music and Mathematics. Plenary talk
at Symposium of the Administration for Rural Education and
Youth Aliya. Kfar Yarok,
2002.
27. The Use of Analogy in Book VII of Apollonius’ Conica. International
Workshop on History of Mathematics in the Last 25 Years. The
Cohn Institute for the History and Philosophy of Ideas-The Van Leer Jerusalem
Institute. Tel Aviv and Jerusalem, Israel, 2001.
28. Landmarks in the Development of the Function
Concept. Conference Concluding Five Years of Activity of Tomorrow
98. Shfayim, 2001.
29. The Elementary Character of Book IV of
Apollonius’ Conica. 5th International
Conference on Ancient Mathematics. European
Cultural Center of Delphi. Delphi, Greece,
2000
30. Different Aspects Holistic Approach to Geometry
Teaching Viewed Over the Course of Six Years. (with Zeltser, Igor; Peri, Judith; Satianov, Pavel; Ceaushu, Carola;
Amit, Miriam) 5th Annual Conference for the Advancement
of Mathematics Education in Israel. Ahvah Teachers
College. 1998
Awards, Citations, Honors,
Fellowships
1. 1979,
1980, 1981, 1982 - St. John’s College, Annapolis, Maryland -
Best Musical Composition.
2. 1982
- The City of Annapolis, Maryland - The Baird Prize for
Creative Work.
3. 2002-2005
– Guastalla Fellowship for the
Advancement of Science Education, Sacta-Rashi Foundation
Professional Activities
Positions in academic
administration
1. 2015-2019, 2021-2023 - Chair of the Program
for Science and Technology Education
Professional
functions outside universities/institutions
1. 2019-present
– Member of Executive Board of the International Study Group on the
Relations Between the History and Pedagogy of Mathematics (ICMI
Affiliate)
2. 2017-2019
– Member of Advisory Board of the International Study Group on the
Relations Between the History and Pedagogy of Mathematics (ICMI
Affiliate)
3. 2015-present—Member
of the Academic Council of Kaye College, Beer Sheva
4. 2007-2008
- Member of the Scientific Committee for the International Study Group
on the Relations between the History and Pedagogy of Mathematics (ICMI
Affiliate)
Significant
professional consulting
1. 2009-present-Scientific
advisor for development Open University Course: History of Mathematics:
From Ancient Greece to Euler (no.20472).
Editor
or member of editorial board of scientific or professional journal
1. 2012-2013: Guest Editor with
Victor Katz, Uffe Jankvist, & Stuart Rowlands: Special History of
Mathematics issue of Science & Education
2. 2008-present: Editorial Board
Member: Educational Studies in Mathematics
3. 2008-present: Book Review
Editor: Mathematical Thinking and Learning
Membership
in professional/scientific societies
1. 2017-present
- International Study Group on the Relations Between the History and Pedagogy
of Mathematics
2. 2006-present-Israel
Mathematical Union
3. 2002-2008 -International
Group for the Psychology of Mathematics Education
4. 2000-2002 -
Member of the Israel Society for the History and Philosophy of Science,
The Van Leer Jerusalem Institute
5. 1984-1985 -
Member of the Mathematical Association of America (MAA)
Organizational Activities
1. Member of scientific committee
for the 7th Conference on the Learning Sciences. Ben Gurion University of the Negev. July 25, 2022
2. Co-chair and member of the
scientific committee for the 9th Conference of the European
Summer University on
Epistemology and History in Mathematics Education (ESU-9). Salerno,
Italy. July 18-22, 2022
3. Organizer and
member of the scientific committee of the international symposium Mathematics
& Mathematics Education: Searching for Common Ground: A Symposium in Honor
of Ted Eisenberg. April 29- May 3, 2012. Ben- Gurion University of the Negev. Beer Sheva, Israel.
Funded by:
The Center for Advanced Mathematics at Ben Gurion University
Israel Science Foundation
The Trump Foundation
Ministry of Education
Ben Gurion University Faculty Humanities and Social Sciences
Ben Gurion University Faculty of the Natural Sciences
4. Scientific
Committee of conference Between Culture and Pedagogy. March 25-26, 2014 Kaye College, Beer Sheva, Israel
Funded by:
Mofet Institute
Kaye College
Israel National Commission for UNESCO
5. Organizer of
history of mathematics session of the joint session of the Israel Mathematics
Union (IMU) and American Mathematics Society (AMS). June 17-18,
2014. Tel Aviv University, Tel Aviv, Israel
Educational activities
(a) Courses
taught
1. Topics
from the History of Science and Mathematics: From Antiquity to the Early Modern
Period - Graduate Level - Graduate Program for Science and Technology
Education, Ben-Gurion University of the Negev
2. History
and Philosophy of Science-An Introduction – (Taught together with
Professor Ute Deichmann) Graduate Level-Faculty of the Humanities and
Social Sciences, Ben-Gurion University of the Negev
3. Geometry
for Science Teaching - Graduate level - Graduate Program for Science
and Technology Education, Ben-Gurion University of the Negev
4. Themes
in Mathematics Teaching - Graduate level - Graduate Program for
Science and Technology Education, Ben-Gurion University of the Negev
5. Advanced
Topics in Mathematics Teaching - Graduate level - Graduate Program for
Science and Technology Education, Ben-Gurion University of the Negev
6. Central
Ideas in Mathematics - Graduate level - Graduate Program for Science
and Technology Education
7. Foundations
of Mathematics for Students of History and Philosophy of Science -
Graduate level - Cohn Institute for the History and Philosophy of Science and
Ideas at Tel-Aviv University
8. Ordinary
Differential Equations - Undergraduate level - Rockland Community
College
9. Applied
Combinatorics - Undergraduate/Graduate level - SUNY at Stony Brook
10. General Discrete
Mathematics - Undergraduate level - SUNY at Stony Brook