Michael N. Fried

 

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 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:

English

1.     Fried, Michael N. & Dreyfus, Tommy (Eds) (2014). Mathematics & Mathematics Education: Searching for Common Ground.  New York: Springer (Advances in Mathematics Education). (402 pp.).

2.     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.)

3.     Fried, Michael N. (2002). Apollonius of Perga’s Conics, Book IV: Translation, Introduction, and Diagrams. Santa Fe, NM, USA: Green Lion Press (100 pp.)

4.     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 N. (2014) Similarity and Equality in Euclid and Apollonius.  St. John’s Review, 55(2), pp.17-40

2.   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

3.   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.

4.   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.

5.   Fried, Michael N. & Goldberg, Mayer (2010).  A Pumping Lemma for Invalid Reduction of Fractions.  College Mathematics Journal (MAA) 44(5), 357-364.

6.   Fried, Michael N. (2010).  Some Reflections on Hernández and López’s Reflections on the Chain rule.  The Montana Mathematics Enthusiast, 7(2), 333-338.

7.   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.

8.   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

9.   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.

10.  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.

11.  Fried, Michael N., (2008).  History of Mathematics in Mathematics Education: A Saussurean Perspective.  The Montana Mathematics Enthusiast, 5(2), 185-198.

12.  Satianov, Pavel & Fried, Michael N. (2007). Does a Cube Have an Equation?  Teaching Mathematics and Its Applications, 26(4), 187-195.

13.  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.

14.  Fried, Michael N. (2007).  Didactics and History of Mathematics: Knowledge and Self-Knowledge.  Educational Studies in Mathematics, 66(2), 203-223.

15.  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.

16.  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.

17.  Eshach, Haim & Fried, Michael N. (2005). Should Science be Taught in Early Childhood? Journal of Science Education and Technology, 14(3), 315-336.

18.  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.

19.  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.

20.  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.

21.  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.

22.  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.  Fried, Michael N., (2003).  The Use of Analogy in Book VII of Apollonius’ Conica Science in Context, 16(3), pp.349-365.

24.  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.

25.  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

26.  Fried, Michael N., (2001).  Can Mathematics Education and History of Mathematics Coexist? Science & Education, 10(4), pp.391-408.

27.  Amit, Miriam; Fried, Michael N.; Satianov,  Pavel, (2001).  The Equation of a Triangle.  Mathematics Teacher, 94, pp.362-364.

28.  Satianov, Pavel; Fried, Michael; Miriam Amit, (1999). Broken-Line Functions on Unbroken Domains. Mathematics Teacher, 92, pp.574-577.

29.  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).

30.  Unguru, Sabetai & Fried, Michael, (1996). On the Synthetic-Geometric Character of Apollonius’s Conica. Mathesis, 12, pp.148-223.

 

Unrefereed Professional Articles in Hebrew

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).  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)

2.   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)

3.     Fried, Michael N. & Amit, Miriam (Accepted).  Reform as an Issue for Mathematics Education Research: Thinking about Change, Communication, and Cooperation.  In L. English and D. Kirshner (eds.) Handbook of International Research in Mathematics Education, 3rd Ed.  Taylor & Francis (39 pages)

4.     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.

5.     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.

6.     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.

7.     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. 

8.     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. 

9.     Fried, Michael N. (2012).  Authority.  In S. Lerman (Ed.) Encyclopedia of Mathematics Education.  Springer

10.  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

11.  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.

12.  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.

13.  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.

14.  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.

15.  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 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), pp.228-233.

2.     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.

3.     Review of Steven Strogatz.  The Calculus of Friendship.  Princeton: Princeton University Press, 2009. Mathematical Thinking and Learning, 14(1), 81-83.

4.     Review of Reviel Netz. Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic. Cambridge University Press, 2009.  ISIS 102(4), 753-754.

5.     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.

6.     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.

7.     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.

8.     Review of A. Watson  J. Mason. Mathematics as Constructive Activity, Lawrence Erlbaum, 2005,  Zentralblatt für Didaktik der Mathematik,  38 (2), 209-211.

 

Conference Presentations

English

1.   Fried, Michael N. (2012).  Book XIII of the Elements: Its Role in the World’s Most Famous Mathematics Textbooks. (2012).  Proceedings of European Summer University on the History and Epistemology in Mathematics Education (HPM2012), Volume 2, pp.607-618. Daejeon, South Korea.

2.   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.

3.   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.

4.   Fried, Michael N. & Bernard, Alain (2008). Reading and Doing Mathematics in the Humanist Tradition: Ancient and Modern Issues. In E. Barbin, N. Stehliková, C. Tzanakis (Eds.), Proceedings of EuropeanSummer University on the History and Epistemology in Mathematics Education (HPM-ESU5), pp.463-474.  Prague, Czech Republic: Vydavatelský servis. 

5.   Fried, Michael N. & Amit, Miriam (2007).  The Israeli Classroom: A Meeting Place for Dichotomies (Abstract only).  2007 AERA Annual Meeting. Chicago, Illinois, April 9-13, 2007.

6.   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 Armerina, Sicily.

7.   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.  Prague, Czech Republic.

8.   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 29thConference of the International Group for the Psychology of Mathematics Education (PME) 2, pp. 57-64.  Melbourne, Australia: University of Melbourne.

9.   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 Nicosia,Cyprus.  

10.  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.  Bergen, Norway: Bergen University College.

11.  Fried, Michael N. (2004). Mathematics as the Science of Patterns: an Historical Example.  In Fulvia Furinghetti, Sten Kaijser, Constantinos Tzanakis (eds), HPM 2004 & ESU4: Proceedings of European Summer University on the History and Epistemology in Mathematics Education, pp. 568-576.  Uppsala, Sweden: Uppsala Universitet.

12.  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.   Plock, Poland.

13.  Fried, Michael N. & Amit, Miriam (2003).  Commonality of Mathematical Practice vs. Individuality of Expression and Reflection: The Case of Student’s Mathematical Notebooks. In Joaquin Gimenez, Gail E.FitzSimons, Corinne Hahn (eds),  Proceedings of CIEAEM 54: A Challenge for Mathematics Educations: To Reconcile Commonalities and Differences, pp.150-155.  Vilanova i la Geltrú, Catalonia, Spain:Graó.

14.  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 Geltrú, Catalonia, Spain: Graó.

15.  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 Honolulu, Hawaii: CRDG, College of Education.

16.  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. Goa, India.

17.  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 26thAnnual Conference 2, pp. 41-48. Norwich, UK: University of East Anglia.

18.  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. Norwich, UK: University of East Anglia.

19.  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.  Milan: Ghisetti e Corvi Editori.

20.  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. WhybrowInchley, (eds.) - Mathematical Literacy in the Digital Era (Proceedings of the 53rd conference of the CIEAEM), pp.184-189.  Milan: Ghisetti e Corvi Editori.

21.  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.  Milan: Ghisetti e Corvi Editori.

22.  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.  Chichester: Horwood Publishing Limited.

23.  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. Chichester: Horwood Publishing Limited.

 

Scientific Reports

1.     Fried, Michael N. & Jahnke, Hans Niels.  (2013).  Otto Teoplit’a “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).

 

Invited Lectures and Presentations at Meetings and Seminars-Not Followed by Published Proceedings

English

1.     Similarity and Equality in Euclid and Apollonius.  Summer Lecture Series. St. John’s College, Santa Fe, New Mexico, July 2013

2.     Our Relationship to the Mathematical Past.  MAA-AMS Joint Conference—Short Course on Historiography.  Baltimore, Maryland, USA, March 2014

3.     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.

4.     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

5.     Public and Private Aspects of Mathematics and General Education.  Graduate School of Education, Rutgers University, New Jersey, USA, September, 2011.

6.     Some Theoretical Difficulties in Incorporating History of Mathematics in Mathematics Education.  Robert B. Davis Institute for Learning, Rutgers University, New Jersey, USA, September, 2011.

7.     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. 

8.     Similarity in Greek Geometry: A Historico-Educational Account.  Talk given at the Mathematics Department of the University of Montana.  Missoula, Montana, USA, September, 2010.

9.     History of Mathematics: Problems and Prospects (Plenary talk).  The 6th European Summer University on History and Epistemology in Mathematics Education, Vienna, Austria. July, 2010.

10.  Ptolemy and Classical Mathematical Astronomy.  Concordia Astronomy Club, Monroe Township, New Jersey, USA, January 28, 2010.

11.  Euclid's Elements and the Regular Solids.  Weizmann Institute. Rehovot, Israel.  February, 5, 2009.

12.  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.  

13.  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.

14.  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.

15.  Proof and Authority.  Robert B. Davis Institute for Learning, Rutgers University, USA, January 23, 2007.

16.  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.

17.  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

18.  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.

19.  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.

20.  The Peculiar Nature of Apollonius’ Opposite Sections.  Edelstein Center - Hebrew University, June, 2002

21.  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.

22.  The Elementary Character of Book IV of Apollonius’ Conica. 5th International Conference on Ancient Mathematics.  European Cultural Center of Delphi. Delphi, Greece, 2000

 
Hebrew

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, 114(4), 2014: problem 5286

2.       School Science and Mathematics Journal, 110(4), 2010: problem 5093

3.       School Science and Mathematics Journal, 110(2), 2010: problem 5084

4.       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

 

 

Awards, Citations, Honors, Fellowships

           ·     1979, 1980, 1981, 1982 - St. John’s College, Annapolis, Maryland - Best Musical Composition.

           ·     1982 - The City of Annapolis, Maryland - The Baird Prize for Creative Work.

           ·     2002-2005 – Guastalla Fellowship for the Advancement of Science Education, Sacta-Rashi Foundation

        

 

Professional Activities

     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.   2006-present-Israel Mathematical Union

2.   2002-2008 -International Group for the Psychology of Mathematics Education

3.   2000-2002 - Member of the Israel Society for the History and Philosophy of Science, The Van Leer Jerusalem Institute

4.   1984-1985 - Member of the Mathematical Association of America (MAA)

Organizational Activities

1.   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

2.   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

3.   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. Selected Topics in the History of Science—Doctoral Level – The Kreitman School of Advanced Graduate Studies. Ben-Gurion University of the Negev

2. Geometry for Science Teaching - Graduate level - Graduate Program for Science and Technology Education, Ben-Gurion University of the Negev

3. Themes in Mathematics Teaching - Graduate level - Graduate Program for Science and Technology Education, Ben-Gurion University of the Negev

4. Advanced Topics in Mathematics Teaching - Graduate level - Graduate Program for Science and Technology Education, Ben-Gurion University of the Negev

5. Central Ideas in Mathematics - Graduate level - Graduate Program for Science and Technology Education

6. 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

7. Ordinary Differential Equations - Undergraduate level - Rockland Community College

8. Applied Combinatorics - Undergraduate/Graduate level - SUNY at Stony Brook

9. General Discrete Mathematics - Undergraduate level - SUNY at Stony Brook

                

         (b)  Research students

Currently – Abdelrachman Affan - Ph.D.

Mathematics and History Teachers’ Preconceptions concerning the Incorporation of History of Mathematics in High School Studies: Case Study on Islamic Mathematics in the Arab-Speaking Sector.

Currently - Chagit Tischler - Ph.D. (with Orit Ben-Zvi Asraf)

Zoos as Educational Means for Promoting Positive Attitudes towards Nature and Animal Conservation.

Currently – Amera Abu Amra - M.A.  (with Raisa Guberman-Achva College)

Differential Achievement with respect to the Northern Arab and Southern Bedouin Populations. 

Currently- Adi London –M.A. (with Dorit Neria—Ben Gurion University)

The van Hiele Levels of Geometry Questions on Completion Examinations

Currently – Ronen Avhar – M.A.

Agents of School Mathematics Reform: The Case of Heterogeneous Classroom Study in Israel Middle Schools

2014-Adi Eraky- MA- (with Raisa Guberman-Achva College)

Generalizations properties of sixth graders in the case of arithmetical patterns and geometrical patterns

2013- Foad Mohamed –M.A.

The Difference between Teachers’ and Students’ Assessment of Obstacles in Learning Proof

2013 - Mohammad Kittany – M.A.

Blind Students and Geometry Learning: Visualization without Vision

2012 - Nitchia Peleg - M.A. (with Ted Eisenberg)

Teachers Conceptions of Mathematical Proof and Instruction of Proofs

2011 - Alexander Volfson -M.A. (with Haim Eshach)

Historical Approaches to the Teaching of the Physics of Sound

2010 - Ahmed Ayoub - M.A.

Differences between Adults and School Pupils in Connection to Word Problems via Spreadsheet Programs

2008 - Hila Romano - MA.

Teaching Simple Fractions by Means of Characteristic Errors: Effect on Students’ Knowledge and Attitudes towards Errors