
Dr. Michael N. Fried
Office:
The Institute for Applied Research
Ernst David Bergman Campus
P.O.B 653,
Israel
Tel: (972) 8 6479657
Fax: (972) 8
6472847
e-mail: mfried@bgu.ac.il
Home:
Kibbutz Revivim
D. N. Halutza 85515
e-mail: mfried@revivim.org.il
Education:
B.A. 1982 -
Ph.D. 2000 -
Synopsis of Research
My field of
research is mathematics education where my main interest lies in what has been
termed ‘humanistic mathematics’.
Research connected to ‘humanistic mathematics’ follows two distinct directions,
one treating mathematics learning and teaching as genuinely human activities
and the other treating the subject of mathematics, what students need to learn
and teachers to teach, as itself human activity. 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.
My work in the history of mathematics and on the use of history of
mathematics in the classroom follows, obviously, the second direction. Beside
my interest in ‘humanistic mathematics’, I
have also pursued purely pedagogical questions and take such issues very
seriously. I am also concerned with the
nature of mathematics education research itself and its social implications.
Scientific Publications:
Books:
1. 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.)
2. Fried, Michael N. (2002). Apollonius of Perga’s Conics, Book IV: Translation, Introduction, and Diagrams. Santa Fe, NM, USA: Green Lion Press (100 pp.)
3. Fried, Michael N.
& Unguru, Sabetai (2001). Apollonius of Perga’s
Conica: Text, Context, Subtext. Leiden, The Netherlands: Brill Academic Publishers (499 pp.)
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 N. (2011). Signs for You and Signs for Me: The Double Aspect of Semiotic Perspectives. Educational Studies in Mathematics, 77(2-3), 389-397.
2. 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.
3. Fried, Michael N. & Goldberg, Mayer (2010). A Pumping Lemma for Invalid Reduction of
Fractions. College Mathematics
Journal (MAA) 44(5), 357-364.
4.
Fried, Michael N. (2010). Some Reflections on Hernández
and López’s Reflections on the Chain rule. The Montana Mathematics Enthusiast, 7(2), 333-338.
5.
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.
6.
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
7.
Fried, Michael N. & Amit, M. (2008). The Co-Development and Interrelation of Proof and Authority: The Case
of
8.
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.
9.
Fried,
Michael N., (2008). History of Mathematics in
10. Satianov,
Pavel & Fried, Michael N. (2007). Does a Cube Have an Equation? Teaching Mathematics and Its
Applications, 26(4), 187-195.
11. 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.
12. Fried,
Michael N. (2007). Didactics and History of Mathematics: Knowledge and
Self-Knowledge. Educational Studies
in Mathematics, 66(2), 203-223.
13. 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
14. 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.
15. Eshach, Haim & Fried, Michael
N. (2005). Should Science be Taught in Early
Childhood? Journal of
16. 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.
17. 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.
18. 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.
19. 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.
20. 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
23. 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
24. Fried, Michael N., (2001). Can Mathematics Education and History of Mathematics Coexist? Science & Education, 10(4), pp.391-408.
25. Amit, Miriam; Fried, Michael N.; Satianov, Pavel, (2001). The Equation of a Triangle. Mathematics Teacher, 94, pp.362-364.
26. Satianov, Pavel; Fried, Michael; Miriam Amit, (1999). Broken-Line Functions on Unbroken Domains. Mathematics Teacher, 92, pp.574-577.
27. 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).
28. Unguru, Sabetai & Fried, Michael, (1996). On the Synthetic-Geometric Character of Apollonius’s Conica. Mathesis, 12, pp.148-223.
1. Fried, Michael N. (2003). Music and Mathematics. Aleh, 30, 50-60.
2. Fried, Michael (1991). Uses for Number Bases. Aleh, 9, 69-71.
3. Fried, Michael (1990). A Transparency Setup for Composite Functions. Aleh, 6, 67-70.
4. Fried, Michael (1990). A Different Point of View on the Point of Intersection of Two Straight lines. Misparim, 3, 68-69.
Chapters in Anthologies and Articles in Encyclopedias
1. Fried, Michael N. (Accepted). 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. Charlotte, NC: Information Age Publishing.
2. Fried, Michael N. (Accepted). 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. (1 page)
3. Fried, Michael N. (Accepted). Conic sections. In R. S. Bagnall, K. Brodersen, C. B. Champion, A. Erskine, & S. R. Huebner (eds.), The Encyclopedia of Ancient History. Wiley-Blackwell. (1 page)
4. 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
5. Fried, Michael N. (2008).
Between Public and Private: Where Our Mathematical Selves Reside. In
6. Amit, Miriam &
Fried, Michael N. (2008). The
Complexities of Change: Aspects of Reform and Reform Research in Mathematics
Education. In
7. Amit, Miriam &
Fried, Michael N. (2006). Mathematics
Education in
8. Fried, Michael N.
& Amit, Miriam (2006). The
Israeli Classroom:
9. 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.
Book Reviews
1. Review of Steven Strogatz. The Calculus of Friendship. Princeton: Princeton University Press, 2009. (Accepted) Mathematical Thinking and Learning (2 pages).
2. Review of Reviel Netz. Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic. Cambridge University Press, 2009. (Accepted). ISIS (2 pages).
3. 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.
4. 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.
5. Review of Alice F. Artzt, Eleanor Armour-Thomas, and Frances R. Curcio.
Becoming a Reflective Mathematics Teacher: A Guide for Observations and
Self-Assessment,
6. Review of A. Watson & J. Mason. Mathematics as Constructive Activity, Lawrence Erlbaum, 2005, Zentralblatt für Didaktik der Mathematik, 38 (2), 209-211.
Conference
Presentations
1. Tishler, Chagit; Fried, Michael N.; Ben-Zvi Asaraf, Orit. (2011). Perceptions of Wildlife Conservation
among Zoo Visitors in Multicultural Societies. 14th Biennial
Conference of the European Association for Research on Learning and Instruction
(EARLI 14). Exeter, UK.
2.
Unguru, Sabetai & Fried, Michael N.
(2009). The Three- and Four-line
Locus in Apollonius's Conica:
Geometry and Algebra. XXIII
International Congress of History of Science and Technology: Ideas and
Instruments in Social Context, Budapest, Hungary, 28 July-2 August 2009.
3.
Fried, Michael N. &
Bernard, Alain (2008).
4.
Fried, Michael N. & Amit, Miriam (2007). The Israeli Classroom: A Meeting Place
for Dichotomies (Abstract only). 2007
AERA Annual Meeting.
5.
Fried, Michael N. &
Bernard, Alain (2006). History of Mathematics
in the Curriculum and the Possibility of a New Paideia. In Filippo Spagnolo, Benedetto Di Paola (eds.) Proceedings of CIEAEM 57: Changes
in Society: A Challenge for Mathematics Education,
pp.217-220. Piazza
6.
Fried, Michael N. & Amit, Miriam (2006). Proof, Authority, and Agency:
Intimations from an 8th Grade Classroom.* In
J. Novotná, H. Moraová, M. Krátká, & N. Stehliková
(Eds.) The 30th
Conference of the International Group for the Psychology of Mathematics
Education (PME), 3, pp.113-120.
7.
Amit, Miriam & Fried, Michael N. (2005). Multiple Representations in 8th
Grade Algebra Lessons: Are Learners Really Getting it?* In Helen L. Chick & Jill L. Vincent
(Eds.), Proceedings of the 29th Conference of the International
Group for the Psychology of Mathematics Education (PME) 2, pp. 57-64.
8.
Fried, Michael N. & Amit, Miriam (2005). The
Unfolding of Lessons and their Pedagogical Rationale as a
Criteria for International Comparisons: The Case of Teaching Systems of
Linear Equations (abstract only).* 11th Biennial Conference of
the European Association for Research on Learning and Instruction (EARLI 11):
Integrating Multiple Perspectives on Effective Learning Environments.
9.
Fried, Michael N. & Amit, Miriam (2004). Time
and Flow in International Comparisons.*
In Marit Johnsen Høines,
Anne Berit Fuglestad
(eds.), Proceedings of the 28th Conference of the International
Group for the Psychology of Mathematics Education (PME) 2, pp. 33-40.
10. Fried, Michael N. (2004). Mathematics as the Science of
Patterns: an Historical Example. In
11. Amit, Miriam &
Fried, Michael N. 2004). How Well
Do Manipulatives Really Fulfill Our Expectations of
Them? The Case of Julia and Roni. Pawel Wlodkowic
(ed), Proceedings of CIEAEM 55:
The Use of Didactic Materials for Developing Pupils’ Mathematical Activities.
12. Fried, Michael N.
& Amit, Miriam (2003). Commonality
of Mathematical Practice vs. Individuality of Expression and Reflection: The
Case of Student’s Mathematical Notebooks. In
13. Miriam Amit, Zehava Bookh, Ceaushu Carola, Michael N. Fried, Pavel Satianov, Jacob Toovy, Igor Zeltser (2003). How In-Service Programs Can Promote Common
Goals and Communication in Diverse Teacher Populations. In Joaquin Gimenez, Gail E. FitzSimons,
Corinne Hahn (eds), Proceedings
of CIEAEM 54: A Challenge for Mathematics Educations: To Reconcile
Commonalities and Differences, pp.366-372. Vilanova
i la
14. Fried, Michael N.
& Amit, Miriam (2003). The Usefulness and Limitations of the Notion
of Incommensurability in Analyzing 8th Grade Students’ Understanding
of Algebra.* In Neil
A. Pateman, Barbara J. Dougherty, Joseph T. Zilliox (eds.), PME27 and PME-NA25: Proceedings of the
27th Annual Conference 1, p. 218
15. Amit, Miriam &
Fried, Michael N., (2002). Empowerment
of Young Women in Mathematics. Technology and Mathematics Education for
Human Development (Proceedings of the CASTME-UNESCO-HBCSE International
Conference), vol. II, 186-190.
16. Amit, Miriam &
Fried, Michael N., (2002). Authority
in the Mathematics Classroom and Its Influence on Students’ Ability to
Reflect. Anne D. Cockburn, Elena Nardi, (eds.) - PME26: Proceedings of the 26th
Annual Conference 2, pp. 41-48.
17. Fried, Michael N.
& Amit, Miriam, (2002). Students’
Classroom Notebooks and the Blurring of Public and Private Domains. Anne D. Cockburn, Elena Nardi,
(eds.) - PME26: Proceedings of the 26th Annual Conference 2,
pp. 376-383.
18. Amit,
Miriam & Fried, Michael N., (2002). Matriculation Examinations: A Tool for Promoting
Elitism or Mathematical Literacy. L. Bazzini, C. Whybrow Inchley, (eds.) - Mathematical Literacy in the Digital
Era (Proceedings of the 53rd conference of the CIEAEM),
pp.103-109.
19. Zeltser, Igor; Amit, Miriam; Bookh,
Zehava; Fried, Michael N.; Satianov, Pavel; Toovy, Jacob, (2002).
‘Non-Algebraic’ Approaches to Word Problems Using Spreadsheet
Programs. L. Bazzini,
C. Whybrow Inchley, (eds.)
- Mathematical Literacy in the Digital Era (Proceedings of the 53rd
conference of the CIEAEM), pp.184-189.
20. Satianov, Pavel; Amit, Miriam; Bookh, Zehava; Fried, Michael N.;
Toovy, Jacob; Zeltser,
Igor, (2002). Graphing Calculators as a
Tool for Developing ‘Function Sense’. L.
Bazzini, C. Whybrow Inchley, (eds.) - Mathematical Literacy in the Digital
Era (Proceedings of the 53rd conference of the CIEAEM),
pp.206-212.
21. Louzoun, Daniele; Amit, Miriam; Ceaushu, Carola; Fried, Michael
N.; Kapulnick, Esther; Perry, Judith; Satianov,
Pavel; Zeltser, Igor; Weitsman,
Geula, (2000).
Pratique en classe ou formation intellectuelle: Appréhensions différentes entre enseignants et enseignés dans la formation permanente.* Ahmed, A., Kraemer, J. M., and Williams,
H. (eds.) - Cultural Diversity in Mathematics (Education): CIEAEM 51,
pp.139-146.
22. Fried, Michael N., (2000).
Some Difficulties in Incorporating History of Mathematics in
Teaching-Training. Ahmed, A., Kraemer, J. M., and Williams, H. (eds.) - Cultural
Diversity in Mathematics (Education): CIEAEM 51, pp.73-78.
Scientific
Reports
Invited Lectures and Presentations at Meetings and Seminars-Not
Followed by Published Proceedings
1.
Public and Private Aspects
of Mathematics and General Education.
Graduate School of Education, Rutgers University, New Jersey, USA,
September, 2011.
2.
Some Theoretical
Difficulties in Incorporating History of Mathematics in Mathematics
Education. Robert B. Davis Institute for
Learning, Rutgers University, New Jersey, USA, September,
2011.
3.
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.
4.
Similarity in Greek Geometry: A Historico-Educational
Account. Talk given at the Mathematics Department of
the University of Montana. Missoula,
Montana, USA, September, 2010.
5.
History of Mathematics: Problems and Prospects (Plenary talk). The 6th European Summer University on
History and Epistemology in Mathematics Education, Vienna, Austria. July,
2010.
6.
Ptolemy and Classical Mathematical Astronomy. Concordia
Astronomy Club, Monroe Township,
New Jersey, USA, January 28, 2010.
7. Euclid's Elements and
the Regular Solids. Weizmann
Institute. Rehovot, Israel. February, 5,
2009.
8.
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.
9.
History of Mathematics and the Future of Mathematics Education. Centennial of the International Commission
on Mathematical Instruction (ICMI).
Academia dei Lincei,
10. Between Public and Private: Where Students’ Mathematical Selves
Reside. The Semiotic
Approach to Mathematics, the History of Mathematics and Mathematics Education.
11. Proof and
Authority. Robert B. Davis Institute for
Learning,
12. The Co-Development of
the Idea of Proof and Students’ Sense of Authority. Department of Education in Technology and
Science, Technion,
13. 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.
14. 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/ ).
16. The Peculiar Nature of Apollonius’ Opposite Sections.
17. 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
18. The Elementary Character of Book IV of Apollonius’ Conica. 5th International Conference
on Ancient Mathematics. European
Cultural
1. Music and Mathematics. Plenary talk at Symposium of the Administration for Rural Education and Youth Aliya. Kfar Yarok, 2002.
2. Landmarks in the Development of the Function Concept. Conference Concluding Five Years of Activity of Tomorrow 98. Shfayim, 2001.
3. 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.
Other
Mathematical problem solutions and citations
*Solutions published:
1. School
Science and Mathematics Journal, 110(4), 2010: problem 5093
2. School
Science and Mathematics Journal, 110(2), 2010: problem 5084
3. School
Science and Mathematics Journal, 110(1), 2010: problem 5075
*Solutions cited:
1. School
Science and Mathematics Journal, 111(5), 2011: problem 5134, 5136
2. School
Science and Mathematics Journal, 111(6), 2011: problem 5142
3. School
Science and Mathematics Journal, 110(1), 2010: problem 5074.
4. School
Science and Mathematics Journal, 109(9), 2009: problem 5069, 5068.
5. School
Science and Mathematics Journal, 109(4), 2009: problem 5044.
6. School
Science and Mathematics Journal, 109(3), 2009: problem 5033.
7. School
Science and Mathematics Journal, 109(1), 2009: problem 5027
8. School
Science and Mathematics Journal, 108(8), 2008: problem 5027
9. School
Science and Mathematics Journal, 108(7), 2008: problem 5016
Present
Academic Activities
Research in
progress:
1.
Subject: Learners Perspective
Study (LPS) (see above)
Other participants: Miriam Amit, David Clarke (Australia), Gaye Williams
(Australia), Christine Keitel (Germany), Eva Jablonka (Germany), Yoshinori
Shimizu (Japan), Frederick Leung (Hong Kong), Ference Marton (Sweden), Joanne Lobato (USA), et al.
2.
Subject: Inquiry-based Science Teaching and Learning
Supported by Digital Environments for collaboration and reflection. Sponsored by FP7-Science-in-society-2007-1 (Iris Tabak (PI), Michael N. Fried,
3.
Subject: Monograph on The
Idea of Geometric Loci in Hellenistic Mathematics. Other participants: Sabetai Unguru.
· 1979, 1980, 1981, 1982 -
· 1982 - The City of
· 2002-2005 – Guastalla
Fellowship for the Advancement of Science Education, Sacta-Rashi
Foundation