Professor Thierry (Noah) Dana-Picard

Thierry (Noah) Dana-Picard

Professor, Director of the Chair for Education, Mathematics, and Judaism

JCT President Emeritus

Plane curves and surfaces: envelopes and their applications to soil problems, isoptics, inner isoptics, simulation of space movements, automated proofs and automated discovery

Visualization problems of curves and surfaces with CAS and DGS

Mathematical issues with Earth observation – geometry and software applications

Mathematics Education in technology rich environments

STEAM Education

Torah and Science

Member of International Journal of Technology in Mathematics Education (U.K.),

International Journal of Mathematical Education in Science and Technology (U.K.),

Be’Or Hatorah (Jerusalem) (until 2020).

Israel Science Info (Paris, France).

From 2021: Recherches en Didactique des Mathématiques (RDM, Paris),

From 2021: Teaching Methodology (Montenegro), new journal.

From 2021: Associate Editor, Maple Transactions: Computer-Assisted Research in Mathematics, Applications, and Education, new journal.

Int. J. of Mathematical Education in Science and Technology (iJMEST)

            Int. J. of Technology in Mathematics Education (IJTME)

            Israel Science Info (ISI)

Guest editor:

Mathematics in Computer Science (several issues from 2016 to 2019, main guest editor 2020)

Open Educational Studies (2021).

Int. J. of Mathematical Education in Science and Technology (iJMEST)

Int. J. of Technology in Mathematics Education (IJTME)

Israel Science Info (ISI)

Recherches en Didactique des Mathématiques (RDM, Paris)

Maple Transactions: Computer-Assisted Research in Mathematics, Applications, and Education, new journal.

From 2022: Practical e-Learning (Portugal).

Guest editor:

Mathematics in Computer Science

(several issues from 2016 to 2019, main guest editor 2020)

Open Educational Studies (2021).

Journal publications

1. Dana-Picard and M. Schaps (1992): Classifying Generic Algebras, Rocky Mountain Journal of Mathematics 22 (1), 125-156.
2. Dana-Picard (1994): 8-dimensional Generic Algebras with mixed basis-graph, Pacific Journal of Mathematics 164 (2), 229-261.
3. Dana-Picard and M. Schaps (1996): Classifying Generic Algebras: the Local Case, Houston Journal of Mathematics 22 (4), 749-773.
4. Dana-Picard and A. Haenel (1998): Triangles, polygons and beams of light, International Journal of Mathematical Education in Science and Technology 29 (6), 922-929.
5. Dana-Picard and D. Cohen (1999): Linearization of Trigonometric Polynomials, Missouri Journal of Mathematical Sciences 11 (2), 87-93.
6. Dana-Picard (2000): Some Applications of Barycentric Computations, International Journal of Mathematical Education in Science and Technology 31 (2), 293-309. http://dx.doi.org/10.1080/00207390050032289
7. Dana-Picard (2000): Rays of Light Trapped in Conics, International Journal of Mathematical Education in Science and Technology 31 (5), 758-773, 2000. http://dx.doi.org/10.1080/002073900434431
8. Dana-Picard and M. Schaps: Graphic Representations for Associative Algebras, Missouri Journal of Mathematical Sciences 12 (3),183-192.
9. Dana-Picard (2001): Matricial Computations: Classroom Practice with a Computer Algebra System, European Journal of Engineering Education 26 (1), 29-37.
10. Dana-Picard (2001): Barycentres and metric properties, International Journal of Mathematical Education in Science and Technology 32 (6), 914-921. http://dx.doi.org/10.1080/002073901317147898 .
11. Dana-Picard and A. Naiman (2002): Closed paths of light trapped in a closed Fermat curves, International Journal of Mathematical Education in Science and Technology 33 (6), 865-877. http://dx.doi.org/10.1080/0020739021000018728
12. Dana-Picard and D. Cohen (2003): An algebraic remark on the Fourier series of a trigonometric polynomial, Missouri Journal of Mathematical Sciences 15 (2), 94-97.
13. Dana-Picard (2003): Complex numbers and plane geometry, International Journal of Mathematical Education in Science and Technology 34 (2), 257-271. http://dx.doi.org/10.1080/0020739031000158281
14. Dana-Picard and J. Steiner (2004): The importance of “low level” CAS commands in teaching Engineering Mathematics, European Journal of Engineering Education 29 (1), 139 -146..
15. Steiner and Th. Dana-Picard (2004): Teaching Mathematical Integration: Human Thinking versus Computer Algebra, International Journal of Mathematical Education in Science and Technology 35 (2), 249-258.
16. Dana-Picard (2004): Explicit closed forms for parametric integrals, International Journal of Mathematical Education in Science and Technology 35 (3), 456-467. Referenced in OEIS wiki page (https://oeis.org/wiki/CiteD ).
17. Dana-Picard (2004): Retroreflection, Journal of Interdisciplinary Mathematics 7 (3), 373-388; abstracted and indexed in CSA Mechanical and Transportation Engineering Abstracts, URL: http://www.csa.com/factsheets/mechtrans-set-c.php .
18. Dana-Picard (2005): Technology as a bypass for a lack of theoretical knowledge, International Journal of Technology in Mathematics Education 11 (3), 101-109.
19. Dana-Picard (2005): Parametric integrals and symmetries of functions, Mathematics and Computer Education, 5-12.
20. Dana-Picard (2005): Parametric integrals and Catalan numbers, International Journal of Mathematical Education in Science and Technology 36 (4), 410-414. Referenced in the Online Encyclopaedia of Integer Sequences page https://oeis.org/wiki/CiteD).
21. Dana-Picard (2005): Enhancing conceptual insight: plane curves in a computerized learning environment, International Journal of Technology in Mathematics Education 12 (1), 33-43.
22. Dana-Picard, I. Kidron, M. Komar and J. Steiner (2005): Undergraduate Engineering - A Comparative Study of First Year Performance in Single Gender Campuses, European Journal of Engineering Education 30 (4), 469-476.
23. Dana-Picard (2005): Sequences of Definite Integrals, Factorials and Double Factorials, (electronic) Journal of Integer Sequences 8 (4), Article 05.4.6, URL: http://www.cs.uwaterloo.ca/journals/JIS/VOL8/Dana-Picard/dana23.pdf. Referenced in the Online Encyclopaedia of Integer Sequences https://oeis.org/wiki/CiteD and https://oeis.org/A001147 ).
24. Kidron and Th. Dana-Picard (2006): To see or not to see, International Journal of Technology in Mathematics Education 12 (3), 115-124.
25. Dana-Picard (2006): Some reflections on CAS assisted proofs of theorems, International Journal of Technology in Mathematics Education 12 (4), 165-171.
26. Dana-Picard, I. Kidron, M. Komar and J. Steiner (2006): Using ICT in Managing Foundation Year Courses for Engineers, European Journal of Engineering Education 31 (4), 373-381.
27. Dana-Picard (2006): Plane Transformations in a complex setting I: homotheties-translations, International Journal of Mathematical Education in Science and Technology 37 (6), 726-734.
28. Dana-Picard (2007): Plane Transformations in a complex setting II: isometries, International Journal of Mathematical Education in Science and Technology 38 (2), 163-188.
29. Dana-Picard (2007): Sequences of definite integrals, International Journal of Mathematical Education in Science and Technology 38 (3), 393-401.
30. Dana-Picard (2007): Motivating constraints of a pedagogy embedded Computer Algebra System, International Journal of Science and Mathematics Education 5 (2), 217-235; DOI: http://dx.doi.org/10.1007/s10763-006-9052-9.
31. Mann, Th. Dana-Picard and N. Zehavi (2007): Technological Discourse on CAS-based Operative Knowledge, International Journal of Technology in Mathematics Education 14 (3), 113-120.
32. Dana-Picard (2007): Two related parametric definite integrals, International Journal of Mathematical Education in Science and Technology 38 (8), 1106-1113. http://dx.doi.org/10.1080/00207390701359263
33. Dana-Picard and I. Kidron (2008): Exploring the phase space of a system of differential equations: different mathematical registers, International Journal of Science and Mathematics Education 6 (4), 695-717.
34. Dana-Picard, I. Kidron and D. Zeitoun (2008): To See or not To See II, International Journal of Technology in Mathematics Education 15 (4), 157-166.
35. Dana-Picard (2009): Plane Transformations in a complex setting III: similarities, International Journal of Mathematical Education in Science and Technology 40 (3), 411-423.
36. Dana-Picard and D. Zeitoun (2009): Closed forms for 4- parameter families of integrals, International Journal of Mathematical Education in Science and Technology 40 (6), 828-837. Referenced in the Online Encyclopaedia of Integer Sequences page. 
37. Dana-Picard (2009): Graph isomorphisms and matrix similarity: Switching between representations, The Montana Mathematical Enthusiast 6 (3), 477-494.
38. Dana-Picard (2009): Integral presentations of Catalan numbers, International Journal of Mathematical Education in Science and Technology 41 (1), 63-69.
39. Zeitoun and Th. Dana-Picard (2010): Accurate visualization of graphs of functions of two real variables, International Journal of Computational and Mathematical Sciences 4(1), 1-11.
40. Dana-Picard, G. Mann and N. Zehavi (2011): From conic intersections to toric intersections: the case of the isoptic curves of an ellipse, The Montana Mathematical Enthusiast 9 (1), 59-76.
41. Dana-Picard (2011): Integral presentations of Catalan numbers and Wallis formula, International Journal of Mathematical Education in Science and Technology 42 (1), 122-128. DOI: 10.1080/0020739X.2010.519792 , Referenced in the Online Encyclopaedia of Integer Sequences.
42. Dana-Picard and D. Zeitoun (2012): Sequences of definite integrals, infinite series and Stirling numbers, International Journal of Mathematical Education in Science and Technology 43 (2), 219-230. Referenced in the Online Encyclopaedia of Integer Sequences and at https://oeis.org/A008275 ).
43. Dana-Picard and D. Zeitoun (2012): Parametric integrals, Wallis formula and Catalan numbers, International Journal of Mathematical Education in Science and Technology 43 (4), 515-520. Referenced in the Online Encyclopaedia of Integer Sequences).
44. Dana-Picard, N. Zehavi and G. Mann (2014): Bisoptic curves of hyperbolas, International Journal of Mathematical Education in Science and Technology 45 (5), 762-781.
45. Dana-Picard and N. Zehavi (2016): Revival of a classical topic in Differential Geometry: the exploration of envelopes in a computerized environment, International Journal of Mathematical Education in Science and Technology 47(6), 938-959.
46. Dana-Picard and D. Zeitoun (2017): Exploration of Parametric Integrals related to a Question of Soil Mechanics, International Journal of Mathematical Education in Science and Technology 48 (4), 617-630.  Referenced in the Online Encyclopedia of Integer Sequences).
47. Dana-Picard and N. Zehavi (2017): Automated Study of Envelopes transition from 1-parameter to 2-parameter families of surfaces, The Electronic Journal of Mathematics & Technology 11 (3), 147-160. Elected for printed version in the Journal of Research of Mathematics and Technology 6 (2), 2017, 11-24.
48. Dana-Picard and S. Hershkovitz (2018): A Glimpse at Mathematics in Jewish Traditional Artefacts, Symmetry: Culture and Science 29 (2), 307-317.
49. Dana-Picard and D. Zeitoun (2017): A framework for an ICT-based study of parametric integrals, Mathematics in Computer Science 11 (3-4), 285-296.
50. Dana-Picard (2018): Automated study of a regular trifolium, Mathematics in Computer Science 13 (1-2), 57-67. Available as Springer's  'Online First': http://link.springer.com/article/10.1007/s11786-018-0351-7  
51. Zeitoun and Th. Dana-Picard (2019): On the usage of different coordinate systems for 3D plots of functions of two real variables, Mathematics in Computer Science 13, 311-327. DOI: 10.1007/s11786-018-0359-z 
52. Dana-Picard and S. Hershkovitz (2019): Geometrical Features of a Jewish Monument: Study with a DGS, the Journal of the Mathematics and the Arts 13 (1-2), 60-71.
53. Dana-Picard and N. Zehavi (2019). Automated study of envelopes: The transition from 2D to 3D, The Electronic Journal of Mathematics & Technology 13 (2), p121-135. Elected for printed version in the Research Journal of Mathematics and Technology 8 (1), 2019, 1-15.
54. Dana-Picard (2020): Automated study of isoptic curves of an astroid, Journal of Symbolic Computation 97, 56-68.
55. Dana-Picard, A. Naiman, W. Mozgawa and V. Cieślak (2020). Exploring the isoptics of Fermat curves in the affine plane using DGS and CAS, Mathematics and Computer Science 14, 45-67. DOI: https://doi.org/10.1007/s11786-019-00419-2
56. Dana-Picard and W. Mozgawa: Automated exploration of inner isoptics of an ellipse, Journal of Geometry 111, 34. IF: 0.86
57. Dana-Picard and S. Hershkovitz: Exploration of octagons in a technology-rich environment: an example of integration of different domains of knowledge for mathematics learning (in Hebrew), Mispar Chazak 31, Haifa, Israel, 2020, 68-77.
58. Dana-Picard, S. Hershkovitz, Z. Lavicza and K. Fenyvesi: Introducing Golden Section in the Mathematics Class to Develop Critical Thinking from the STEAM perspective, the South-East Asia Journal of STEM Education 2 (1), 151-169, 2021.Cite: 4. IF: n/a (new journal).
59. Dana-Picard and Z. Kovács: Networking of technologies: a dialog between CAS and DGS, The electronic Journal of Mathematics and Technology (eJMT) 15 (1), 17 pages, 2021. Elected for printed version in the Research Journal of Mathematics and Technology. IF: n/a.
60. Dana-Picard and S. Hershkovitz: STEAM Education: technological skills, students’ cultural background and Covid-19 crisis, Open Education Studies 2(1), 171-179, 2020. IF: n/a.
61. Raviv and Th. Dana-Picard (2021): Topics in Talmudic and Rabbinical literature: a proposal for mathematics education (in Hebrew), to appear in Research and Studies in Mathematics Education (מחקר ועיון בחינוך מתמטי), Haifa, Israel.
62. Dana-Picard (2021): Envelopes and offsets of two algebraic plane curves: exploration of their similarities and differences, Mathematics in Computer Science, Springer. DOI: 10.1007/s11786-021-00504-5, Springer 'Online First':
    http://link.springer.com/article/10.1007/s11786-021-00504-5.
63. Dana-Picard and Z. Kovács (2021): Offsets of a regular trifolium, Boletín de la Soc. Puig Adam, núm 112 (Octobre 2021), ArXiv.
    Both authors are equally involved in the paper.

64. Dana-Picard and Z. Kovács (2022): Offsets of Cassini ovals, The Electronic Journal of Mathematics and Technology (eJMT) 16(1), 25-39.

65. Saimon, Z. Lavicza and Th. Dana-Picard (2022): Enhancing the 4 C’s among College Students of a Communication Skills Course in Tanzania through a project-based Learning Model, Education and Information Technologies, DOI: 10.1007/s10639-022-11406-9, downloadable.
66. Anđić, E. Ulbrich, Th. Dana‑Picard, S. Cvjetićanin, F. Petrović, Z. Lavicza and  M. Maričić (2022): A Phenomenography Study of STEM Teachers’ Conceptions of Using Three‑Dimensional Modeling and Printing (3DMP) in Teaching, Journal of Science Education and Technology, downloadable. https://doi.org/10.1007/s10956-022-10005-0.

Refereed conference proceedings

1. Dana-Picard (1989): Generic Algebras in dimension 6, Israel Conference Proceedings, Vol. 1, Weizmann Science Press, 53-60.
2. Dana-Picard (1991): 7-dimensional Generic Algebras with mixed basis-graph, in Representations of Algebras, (Tsukuba,1990), CMS Conference Proceedings 11, American Mathematical Society, RI: Providence, 123-158.
3. Dana-Picard and M. Schaps (1993): A computer assisted project: Classification of Algebras, Computational algebraic geometry and commutative algebra (Cortona, 1991), Sympos. Math., XXXIV, Cambridge University Press, Cambridge, 71-83.
4. Meyer and Th. Dana-Picard (1997): Problem Solving in Mathematics and Physics, Proceedings of the 2^nd International Conference on Teacher Education, Mofet Inst., Tel-Aviv, 343-352, 1997.
5. Dana-Picard and M. Schaps (1998): Non reduced Components of Algn, Algebras and modules, II (Geiranger, 1996), CMS Conference Proceedings 24, American Mathematical Society, RI: Providence, 111-120.
6. Dana-Picard (2003): Internet aided courses, and development of technology based teaching material in Mathematics for Engineers, Proc. of ITEM European Conf. (Integrating Technologies into Mathematics Education) , J.B. Lagrange et al. (eds), Reims (France).
7. Steiner and Th. Dana-Picard (2003): Enhancing conceptual insight using a CAS, Proceedings of the 3^rd CAME Conference, Reims (France).
8. Deutsch, A. Kadari and Th. Dana-Picard (2004): ”Alefefes”: Students of Education create and publish a mathematical quarterly and an interactive site, Proceedings of ICME-10 Conference, Study Group 4, Copenhagen, Ed Barbeau and al. (eds), 189-196.
9. Dana-Picard (2004): Three-fold activities for discovering conceptual connections within the cognitive neighborhood of a mathematical topic, Proceedings of TIME-2004 (ACDCA symposium) in Montreal (Canada), J. Böhm (ed.), CD, bk teachware Schriftenreihe 41, Linz, Austria.
10. Dana-Picard (2005): Technology assisted discovery of conceptual connections within the cognitive neighborhood of a mathematical topic, Proceedings of CERME 4, M. Bosch (ed), San Feliu de Guixols (Spain).
11. Dana-Picard (2005): ICT-aided courses in Mathematics for Engineers: a multi-campus course management, in Kommers, P. and Richards, G. (Eds.), Proceedings of World Conference on Educational Multimedia, Hypermedia and Telecommunications 2005, pp. 453-458, Chesapeake, VA: AACE.
12. Mann, N. Zehavi and Th. Dana-Picard (2005): Notes about Reflection, Operative Knowledge, and Execution, Proceedings of the 4^th CAME Conference, Roanoke, Virginia.
13. Kidron and Th. Dana-Picard (2006): Concept definition, concept image and the discrete-continuous interplay, in Novotná J., Moraová H., Krátká M. and Stehlíková N. (Edts), Proceedings 30^th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, 441-448, Prague: PME.
14. Dana-Picard, G. Mann and N. Zehavi (2006): New perspectives on conic sections, Proceedings of TIME-2006 (ACDCA symposium), Dresden, Germany.
15. Kidron and Th. Dana-Picard (2006): The discrete-continuous interplay. Will the last straw break the camel’s back?, Proceedings of the ICMI Study 17 Conference, Hanoi, Vietnam, 2006.
16. Dana-Picard and I. Kidron (2006): A pedagogy-embedded Computer Algebra System as an instigator to learn more Mathematics, Proceedings of the ICMI Study 17 Conference, Hanoi, Vietnam, 2006.
17. Dana-Picard, I. Kidron and D. Zeitoun (2007): Strange 3D plots, Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education, D. Pitta-Pantazi and G. Philipou (edt.) Larnaca, 1379-1388.
18. Dana-Picard, I. Kidron and M. Komar (2007): Foundation Courses in Engineering Mathematics In a Multi-Campus Environment, Proceedings of Ed-Media 2007 Conference, Vancouver (Canada), 430-436.Chesapeake, VA: AACE.
19. Dana-Picard and M. Komar (2008): Academic Studies for Gifted High-School Students, Proceedings of the 5^th International Conference on Creativity in Mathematics and the Education of Gifted Students, 2008, R. Leikin (ed.), The Center of Educational Technology (Tel Aviv).
20. Dana-Picard and Y. Badihi (2008): Virtual Reality serving Mathematics Education: Dynamical Visualization of Multivariable Functions, Proceedings of Ed-Media 2008, Vienna, Austria, 5859-5864.Chesapeake, VA: AACE.
21. Dana-Picard (2008): Existence theorems vs Construction of a Solution: An example of a Theoretical- Computational Conflict, Proceedings of the 11^th International Conference of Mathematics Education ICME-11, Monterrey, Mexico.
22. Dana-Picard, Y. Badihi, D. Zeitoun and O.D. Israeli (2009): Dynamical Exploration of Two-Variable Functions Using Virtual Reality, Proceedings of CERME 6, 2009, Lyon (France), 1081-1090.
23. Dana-Picard (2009). Pedagogical Features Embedded in a CAS: a Study on Definite Integrals,   In Bardini, C. Fortin, P., Oldknow, A. & Vagost, D. (Eds.). Proceedings of the 9^th International Conference on Technology in Mathematics Teaching.  Metz, France: ICTMT.
24. Dana-Picard, G. Mann and N. Zehavi (2012): Instrumented techniques and extension of curriculum in Analytic Geometry, Proceedings of ICME-12, Seoul, South Korea, 3796-3804.
25. Dana-Picard and N. Zehavi (2015). Revival of classical topics in differential geometry, Proceedings of the 9^th Conference of the European Society of Research in Mathematics Education, 2275-2276.
26. Dana-Picard and N. Zehavi, (2015). Revival of a classical topic in differential geometry: envelopes of parameterized families of curves and surfaces. In: E. Martínez–Moro and I. Kotsireas  (eds.) Applications of Computer Algebra ACA 2015 Book of Abstracts, Kalamata (Greece), 53-56.
27. Zeitoun and Th. Dana-Picard (2017). Plotting technologies for the study of functions of two real variables, In: E. Martínez–Moro and I. Kotsireas (eds.) Applications of Computer Algebra ACA 2015 Book of Abstracts, Kalamata (Greece), 58-62.
28. Dana-Picard and N. Zehavi (2016). Envelopes in a computerized environment: the transition from 2D to 3D, In E. Nardi, C. Winsløw & T. Hausberger (Eds.), Proceedings of the First Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2016, 31 March-2 April 2016) (pp. 370-379). Montpellier, France: University of Montpellier and INDRUM.
29. Dana-Picard and N. Zehavi (2017): Automated Study of Envelopes of 1-parameter Families of Surfaces, in I.S. Kotsireas and E. Martínez-Moro (edts), Applications of Computer Algebra 2015: Kalamata, Greece, July 2015', Springer Proceedings in Mathematics & Statistics (PROMS Vol. 198), 29-44.
30. Zeitoun and Th. Dana-Picard (2017): Zooming algorithms for accurate plotting of functions of two real variables, in I.S. Kotsireas and E. Martínez-Moro (edts), Applications of Computer Algebra 2015: Kalamata, Greece, July 2015', Springer Proceedings in Mathematics & Statistics (PROMS Vol. 198), 499-515.
31. Dana-Picard and Z. Kovács (2018). Automated determination of isoptics with dynamic geometry, in Intelligent Computer Mathematics (F. Rabe, W. Farmer, G. Passmore, A. Youssef , Eds.), Lecture Notes in Artificial Intelligence (a subseries of Lecture Notes in Computer Science) 11006, Springer, pp. 60-75.
32. Dana-Picard (2020). Safety zone in an entertainment park: Envelopes, offsets and a new construction of a Maltese Cross, Electronic Proceedings of the Asian Conference on Technology in Mathematics ACTM 2020; Mathematics and Technology, ISSN 1940-4204 (online version).
33. Zeitoun and Th. Dana-Picard (2022): Delineation of the Zone of Influence of Pumping Wells using CAS and DGS, Electronic Proceedings of the Asian Conference on Technology in Mathematics ACTM 2021, Mathematics and Technology.
    Both authors are equally involved in the paper.
34. Dana-Picard (2022): Exploration of parameterized families of surfaces: envelopes, offsets and canal surfaces, invited paper, the Electronic Proceedings of the Asian Conference on Technology in Mathematics ACTM 2022, Mathematics and Technology, Charles University, Prague (Czech Republic), 153-173. (Abstract).
35. Dana-Picard (2023): Computer Assisted Proofs and Automated Methods in Mathematics Education, to appear in (P. Quaresma, edt), Proceedings of ThEdu ’22 - 11th International Workshop on Theorem Proving Components for Educational Software, Electronic Proceedings in Theoretical Computer Science. DOI: 10.4204/EPTCS

Book Chapter

Th. Dana-Picard and S. Hershkovitz Sara (2018). Mathematical Education in Israeli Religious High Schools. In: Movshovitz-Hadar, N. (Ed).K-12 Mathematics Education in Israel - Issues and Challenges, Chapter 5. Series on Mathematics Education: Volume 13, World Scientific Publication, Singapore. ISBN: 978-981-3231-18-4.

Hershkovitz and Th. Dana-Picard (2021): Problem Solving, Problem Posing& Enhancing Creativity, to appear in (J. Novotná, B. Kaur, B. Doig, edts) Insights from SEMT: Learning from 30 years of Symposia on Elementary Mathematics Teaching, Singapore.

Th. Dana-Picard and Z. Kovacs: Experimental study of isoptics of a plane curve using dynamical coloring, Preprint 2020, submitted.

Books (in Hebrew)

2017 Th. Dana-Picard and G. Morali (edts): Lada’at Baarets darkekha I, researches in Torah and Science, 480 pages. JCT and Sifirat Bet El, Jerusalem.

2020 Th. Dana-Picard and G. Morali (edts): Lada’at Baarets darkekha II, researches in Torah and Science, 450 pages. JCT and Sifriat Bet El, Jerusalem.

My chapters:

• Th. Dana-Picard: On Mathematics, Visual and auditive Aesthetics: the hand hidden in nature II ( אסתטיקה ויזואלית ואסתטיקה שמעית – היד הנעלמה בטבע), 124-160.
• Th. Dana-Picard and Y. Klein: The Shape of the minimal Mikveh (צורת המקוה המינימלי), 287-302.
• Th. Dana-Picard and S. Hershkovitz: Geometrical and Numerical Aspects of Jewish Monuments in Mathematics Education: studies within a Dynamical Geometry environment (היבטים גאומטריים )ומספריים באתרים יהודיים וחינוך מתמטי: חקירה באמצעות סביבה גאומרטית אינטראקטיבית, 378-415.

​

My chapters:

1. Rabbits and Beauty: on Mathematics and Aesthetics, pp. 69-96.
2. The fractal structure of time, pp. 137-158.
3. Raise your eyes towards the firmament: introduction to chapters on astronomy, pp. 219-228.
4. Eclipses, pp. 229-248.
5. Faithful observation of straight lines and circles, pp. 249-268.

2020 Th. Dana-Picard and G. Morali (edts): Lada’at Baarets darkekha II, researches in Torah and Science, 450 pages. JCT and Sifirat Bet El, Jerusalem.

My chapters:

1. On Mathematics, visual and auditive aesthetics, pp. 124-160.
2. With Y. Klein: The shape of a minimal mikveh, pp. 287-302.

3. Th. Dana-Picard and Z. Kovács (2021): Experimental study of isoptics of a plane curve using dynamical coloring, to appear in (P. Richard, M.P. Velez and S. van Vaerenbergh, edts) Mathematics Education in the Age of Artificial Intelligence, Mathematics Education in the Digital Era Series, Springer, 261-280.

GeoGebra activity:

a. For teaching:

Th. Dana-Picard: Tangent as a limiting case of secants, 2018.

Th. Dana-Picard: Orthogonality of level curves of harmonic conjugates, 2018.

Th. Dana-Picard: Orthogonality of level curves of harmonic conjugates – an example of 3^rd degree, 2018.

Th. Dana-Picard: Limit of a function at a real point – epsilon-delta, 2019.

Th. Dana-Picard: Discontinuity – with epsilon-delta, 2019.

Th. Dana-Picard: Limit of a sequence, 2019.

Th. Dana-Picard: Discontinuity – with epsilon-delta, 2019.

Th. Dana-Picard: Euler line and 9-point circle, 2019.

b. For research:

with Z. Kovács: Computing orthoptic curve of a conic, 2018.

With Z. Kovács:  Isoptic curves of a parabola,  2018.

With Z. Kovács: Computing the orthoptic of a convex quartic, 2018.

 Orthic triangle of a triangle, 2018.

The isoptic of an ellipse as toric intersection, 2018.

Isoptics to a parabola, 2018.

Isoptics of an astroid, 2019.

Orthoptic of a closed Fermat curve, 2019.

With Z. Kovács: Caustics of a parabola, 2019.

Experimentations on the (b)isoptics of a parabola, 2020.

Inner Orthoptic of an ellipse, 2020.

Dynamic construction of multifolia, 2020.

Dana-Picard and Z. Kovács (2021): Offsets of a regular trifolium, Boletín de la Soc. Puig Adam, núm 112 (Octobre 2021), ArXiv.

Both authors are equally involved in the paper.

Dana-Picard and Z. Kovács (2022): Offsets of Cassini ovals, The Electronic Journal of Mathematics and Technology (eJMT) 16(1), 25-39.

Saimon, Z. Lavicza and Th. Dana-Picard (2022): Enhancing the 4 C’s among College Students of a Communication Skills Course in Tanzania through a project-based Learning Model, Education and Information Technologies, DOI: 10.1007/s10639-022-11406-9, downloadable.

Anđić, E. Ulbrich, Th. Dana‑Picard, S. Cvjetićanin, F. Petrović, Z. Lavicza and  M. Maričić (2022): A Phenomenography Study of STEM Teachers’ Conceptions of Using Three‑Dimensional Modeling and Printing (3DMP) in Teaching, Journal of Science Education and Technology, downloadable. https://doi.org/10.1007/s10956-022-10005-0.

Reviewed conference proceedings

32. Dana-Picard (2020). Safety zone in an entertainment park: Envelopes, offsets and a new construction of a Maltese Cross, Electronic Proceedings of the Asian Conference on Technology in Mathematics ACTM 2020; Mathematics and Technology, ISSN 1940-4204 (online version).
33. Zeitoun and Th. Dana-Picard (2022): Delineation of the Zone of Influence of Pumping Wells using CAS and DGS, Electronic Proceedings of the Asian Conference on Technology in Mathematics ACTM 2021, Mathematics and Technology.

Both authors are equally involved in the paper.

34. Dana-Picard (2022): Exploration of parameterized families of surfaces: envelopes, offsets and canal surfaces, invited paper, the Electronic Proceedings of the Asian Conference on Technology in Mathematics ACTM 2022, Mathematics and Technology, Charles University, Prague (Czech Republic), 153-173. (Abstract).

32. Dana-Picard (2023): Computer Assisted Proofs and Automated Methods in Mathematics Education, to appear in (P. Quaresma, edt), Proceedings of ThEdu ’22 - 11th International Workshop on Theorem Proving Components for Educational Software, Electronic Proceedings in Theoretical Computer Science. DOI: 10.4204/EPTCS

Book chapters

Th. Dana-Picard and Z. Kovács (2021): Experimental study of isoptics of a plane curve using dynamical coloring, in (P. Richard, M.P. Velez and S. van Vaerenbergh, edts) Mathematics Education in the Age of Artificial Intelligence, Mathematics Education in the Digital Era Series, Springer, 261-280.

19.06.18 D. Zeitoun and Th. Dana-Picard: Accurate plotting in 3D: how to choose the mesh, Computer Algebra in Education, ACA 2018, Santiago di Compostela, Spain.

19.06.18 Th. Dana-Picard and D. Zeitoun : Solution of non-homogenous Ordinary Differential equations using  Parametric Integral Method, Algebraic and Algorithmic Aspects of Differential and Integral Operator Session (AADIOS), ACA 2018, Santiago di Compostela, Spain.

20.06.18 Th. Dana-Picard and Z. Kovács: A new approach to automated study of isoptic curves, Dynamic Geometry and Mathematics Education, ACA 2018, Santiago di Compostela, Spain.

20.06.18 Thierry Dana-Picard and Sara Hershkovitz: Fractals and tessellations: from K's to cosmology, Computer Algebra in Education, ACA 2018, Santiago di Compostela, Spain.

26.06.18 Th. Dana-Picard and S. Hershkovitz: Tessellations – from childhood to cosmology, CADGME 2018, University of Coimbra, Portugal.

27.06.18 Th. Dana-Picard and Z. Kovács: Automated study of isoptic curves: a new approach with GeoGebra, CADGME 2018, University of Coimbra, Portugal.

27.06.18 Z. Lavicza, K. Fenyvesi, P. Collett, Th. Dana-Picard, S. Hershkowitz, W. Olivier, G. Tury, G. Uhl and D. Lieban - STEAM for the Future - Integrating Hungarian, Israeli and South African Arts into Mathematics Teaching, WG: Technology and Arts in Mathematics Education, CADGME 2018, University of Coimbra, Portugal.

27.06.18 Th. Dana-Picard and D. Zeitoun - The determination of a suitable mesh for automatic plotting of a 2-variable function, WG: Justification in Doing Math (eduTPS Workgroup/Workshop), CADGME 2018, University of Coimbra, Portugal.

16.08.18 Th. Dana-Picard and Z. Kovács: Automated determination of isoptics with dynamic geometry, Calculemus, CICM-11 (Conference on Intelligent Computer Mathematics), RISC (Hagenberg, Austria). Nominated for "best presentation".

21.11.2018 Paul Kamoun, T. Dana-Picard and  T. Feingersh: Long-term Monitoring of Vegetation and Water Cycles for Modeling of Mediterranean Ecosystem Functioning, First International VENμS End-users Meeting and Workshops, Ben Gurion University (Sde Boker Campus).

15.01.19 Th. Dana-Picard and S. Hershkovitz: Computer assisted activities about the Golden Ratio in Space and Time, 2^nd STEAM it up Conference, Budapest, Hungary.

17.01.19 Th. Dana-Picard and S. Hershkovitz: One topic - several levels of implementation
Golden section’s viewing the sounds, International Conference on Gamification and Creativity in STEAM Education, Johannes Kepler University, Linz, Austria

17.07.19 Th. Dana-Picard and Z. Kovács: Experiments on isoptics by dynamic coloring,

ACA 2019, Montreal, Canada.

18.07.19 Th. Dana-Picard and S. Hershkovitz: DGS assisted activities around

the Golden Ratio in Space and Time, ACA 2019, Montreal, Canada.

19.07.19 Th. Dana-Picard and D. Zeitoun: Parametric integrals, combinatorial identities and

Applications, ACA 2019, Montreal, Canada.

07.11.19 P. Kamoun, T. Feingersh, Th. Dana-Picard, S. Farhi, Y. Warshawski, G. Roos: Land Monitoring Aspects by Sentinel-2 and VENμS, the 4^th International COSPAR Symposium on Small Satellite Conference for Sustainable Science and Development, Herzliya, Israel.

16.01.20 Th. Dana-Picard: Dialog between different kinds of technology, Pedagogical Innovations in STEAM Education Conference and Action Research Workshop 2020, Johannes Kepler University, Linz, Austria.

28.02.2020 Th. Dana-Picard: Automated exploration of envelopes: animation vs exploration -  the necessary dialog between technologies, invited lecture, Symposium on Artificial Intelligence for Mathematics Education (AI4ME), University of Cantabria, Castro Urdiales, Spain.

21.04.20 Th. Dana-Picard: e-Teaching of Differential Geometry in a Time of COVID-19 Crisis, Invited keynote, Online Conference: EMBRACE THE CREATIVITY AMIDST COVID -19 CRISIS, on United Nation's World Creativity and Innovation Day.

15.05.2020 Th. Dana-Picard and S. Hershkovitz: STEAM Education and Culture, invited lecture, Online Conference on Tradition, Development & Innovation in Didactics (TDID), Babeș-Bolyai University (Cluj, Romania) & Linz School of Education at Johannes Kepler University (Linz, Austria).

23.06.20 Th. Dana-Picard and S. Hershkovitz: The integration of cultural elements with new technologies in Mathematics Education, invited lecture, (online) CADGME 2020 Conference on Digital Tools in Mathematics Education, JCT and Johannes Kepler University (Linz, Austria).

25.06.20 Th. Dana-Picard and S. Hershkovitz: STEAM Education: technological skills, students’ cultural background and Covid-19 crisis, invited lecture, (online) INSTEAD – IV , Workshop on Innovative Teaching Methodologies for Math Courses on Engineering Degrees, University of Porto, Portugal.

Recent lectures and talks

03.05.20 Th. Dana-Picard (videoconference) : 1-2-3: Géométrie et les trois premiers mois de l’année Juive, d’après le Maharal et Rabbi Tsadok, Midreshet Yehouda, Jérusalem.

24.02.21 Th. Dana-Picard: Golden Section: developments towards abstraction from a STEAM perspective, 1-hour lecture, ISEP SEMINARS on Novel Teaching Methodologies, Instituto Superior de Engenharia do Porto, Porto, Portugal.

22.04.21 Th. Dana-Picard and S. Hershkovitz: Experiencing the construction of a new pedagogy in Covid-19 time, 40-minute lecture, (online) Special STEAM Seminar, Seoul, Korea.

06.05.21 S. Hershkovitz and Th. Dana-Picard: Life Long Learning: Learning Any-time, Any-where -  the double switch of Jewish orthodox students in Covid-19 time, invited keynote, the 17^th Conference of Hungarian Universities’ Lifelong Learning Network/MELLearN, METU, Budapest, Hungary.

26.05.21 Th. Dana-Picard and S. Hershkovitz: Construction of plane curves as models of spatial movements, Designing Innovations in STEAM Education Online Conference, Johannes Kepler University, Linz, Austria.

26.05.21 Th. Dana-Picard: Construction of plane curves as models of orbital moves, STEAM conference, Johannes Kepler University, Linz, Austria.

28.05.21 Th. Dana-Picard and S. Hershkovitz: A new pedagogic frame for STEAM Education in Covid-19 time, invited keynote, ICAS Conference on New Technology and Sustainable Convergence Education, Seoul, Korea.

05.07.21  Th. Dana-Picard and S. Hershkovitz: STEAM Education: Covid-19 crisis, students' cultural background and intricate technologies. invited lecture, (online) INSTEAD – VII Workshop on Innovative Teaching Methodologies for Math Courses on Engineering Degrees, University of Porto, Portugal.

26.05.21 Th. Dana-Picard: Construction of plane curves as models of orbital moves, STEAM conference, JKU, Linz, Austria.

31.05.22 Th. Dana-Picard and S. Hershkovitz: Mathematics as the keystone of STEAM education, International Conference “Building Bridges in STEAM Education in the 21st Century”, Porto, Portugal.

07.09.22 Z. Kovács, Th. Dana-Picard and T. Recio: Inner Isoptics of a Parabola, 5^th Croatian Conference on Geometry and Graphics, Dubrovnik, Croatia.

12.09.22 E. Ulbrich, M. Tejera, B. Haas,, Y. Kreis, B. Andjic, Th. Dana-Picard and Z. Lavicza: 3D Printed Mathematics Visualizations by STEAM Teachers, CADGME 2022 (8^th International conference on Digital Tools in Mathematics Education), Jerusalem, Israel.

13.09.22 D. Zeitoun and Th. Dana-Picard: Dynamic control rectangle for teaching function discontinuities, CADGME 2022 (8^th International conference on Digital Tools in Mathematics Education), Jerusalem, Israel.

14.09.22 Y. Maayan, E. Eisenberg, Th. Dana-Picard and S. Hershkovitz: Teaching Self-similarity of Fractals, CADGME 2022 (8^th International conference on Digital Tools in Mathematics Education), Jerusalem, Israel.

14.09.22 Th. Dana-Picard: A STEAM approach to canal surfaces, CADGME 2022 (8^th International conference on Digital Tools in Mathematics Education), Jerusalem, Israel.

21.10.22 Th. Dana-Picard: How the Covid-19 crisis helped to enhance convergence in STEAM Education, ICAS Conference, Seoul, South Korea.

11.01.23 G. Bautista and Th. Dana-Picard: Function Arts: Linking Technology, Arts, and

Mathematics, FULL STEAM Ahead! Conference, Johannes Kepler University, Linz, Austria.

GeoGebra activity in the following domains

Geometry (2D and 3D)

Plane curves (parametric curves, rolling circles, Cassini ovals, Holditch curves, etc.)

Isoptics (isoptics of conics and quartics, Cassini ovals – spiric curves, inner isoptics, etc.)

Envelopes of families of plane curves (nephroids, Talbot curves, etc.)

Maths and Arts (architecture, string art, epicycloids and epitrochoids and generalization, , strange parametric curves, etc.)

Models of trajectories in space (epicycloids, etc.)

Others (calculus, etc.)

2016-2018 Erasmus +  project (with Metropolitan University, Budapest, Hungary and Nelson Mandela University, South Africa): STEAM education.

2018-2020 Erasmus +  project (with Metropolitan University, Budapest, Hungary and Johannes Kepler University, Linz, Austria): STEAM education.

2018-2020 (with P. Kamoun, in collaboration with IAI):  Long Term Monitoring of Vegetation and Water Cycles for Modeling of Mediterranean Ecosystem Functioning, Israel Ministry of Science and Space.