Contact Details

email: gmparalis[at]primedu.uoa[dot]gr

Tel: +30 210 3688523

Postal address: 

Studies

• Ptyhion (4-years degree) in Mathematics, University of  Patras
• ‘Certificate of Continuing Education’ in Computer Programming, Training School of Public Employees  
• Ptyhion (1-year degree),  Continuing Education’s Faculty of Secondary Education’s teachers in Athens (ΣΕΛΜΕ)
• PhD in ‘Mathematics of Education’, National and Karodistrian University of Athens

Professional career

• Mathematics Teacher in secondary education (24 years)
• Mathematics Teacher in continuing education’s programs for teachers of elementary education
• Lecturer, according to the PD 407/1980, Department of Special Education, University of Thessaly
• Lecturer, according to the PD 407/1980, Faculty of Primary Education, School of Education, National and Kapodistrian University of Athens (2004-2006)
• Lecturer, Faculty of Primary Education, School of Education, National and Kapodistrian University of Athens (2006-2011)
• Assistant Professor,  Faculty of Primary Education, School of Education, National and Kapodistrian University of Athens (2011-today)

Research interests

• Mathematics
• Mathematics in Education
• History of Mathematics
• Didactics of Mathematics

Teaching

Undergraduate level:

• Mathematics I
• Mathematics II
• Evolution of Mathematical Science I
• Evolution of Mathematical Science II
• Number Theory
• Basic Concepts of Geometry

Postgraduate level:

• Algebra
• History of Mathematics of Eastern people

Selected publications

• Theodoros G. Exarchakos, George M.Dimakos, George E. Baralis (2012), “The Function, for which  whenever, is a finite p- Group II”, Far East Journal of Mathematical Sciences (FJMS), Volume 62, Number 2, 2012 p. 161-175

• George H.Baralis, “Otto Neugebauer and his contribution to the History of Mathematics and of Astronomy of ancient cultures’,  Hos(Ἠώς), Centre for Research in Science and Education (Κ.Ε.ΕΠ.ΕΚ.), 2013, p. 280-296 (in Greek)

• George H.Baralis, Maria Nikolakaki, S.Ferentinos, C.Bouta, “History of Mathematics in Mathematical Education: A teaching proposal for its utilization at school’, Euclid C’, HMS, 2012, Num. 77, p.16-30 (in Greek)

• Theodoros G. Exarchakos, George M.Dimakos, George E. Baralis (2010), “Finite p-Groups and their Automorphisms”, Far East Journal of Mathematical Sciences (FJMS), Volume 47, Number 2, 2010 p. 167-184

• "The numbers writing in the Ionic alphabetic and numerical system, and its use in the ancient Greeks mathematician’s texts ", The scientific step of the Teacher, edition of the Teachers' Association of Greece (Δ.Ο.Ε), Num. 13, June 2010, p.217-228 (in Greek)

• George Baralis, “Knowledge of the basic elements that determine the concept of function”, Periodico di matematiche, Organo della Mathesis. Società italiana di scienze matematiche e fisiche fondata nel 1895, vol. 3, 2010, p. 64-73

• George Baralis, ‘Arithmetic and Geometric Progressions in Babylonian and ancient Egyptian texts’, Hos (Ἠώς), Centre for Research in Science and Education, num.1, p.9-27(in Greek)

• George Baralis, ‘The Attic (or acrophonic or Herodian) numerical system’, Mathematical Review, HMS, num.72, July-December 2009, p.100-118 (in Greek)

• George Baralis, George Destes, ‘A teaching approach in the trapezoidal area for elementary school using a dynamic geometry’s software’, Astrolabe (Αστρολάβος), JMG, num.12, 2009, p. 110-124 (in Greek)

• Georgios Kosyvas, Georgios Baralis, «Les stratégies des élèves d’aujourd’hui sur le problème de la duplication du carré»,  Repères IREM., Janvier 2010, Num. 78. p. 13-36

• M.Patsalias, G.Baralis, ‘Symmetries of the five Platonic solids’, Mathematical Review, HMS, Num. 71, January-June 2009, p.120-130 (in Greek)

• Georgios Baralis, ‘The genesis and the role of zero in the numerical systems of Babylonians, Mayas, Chinese and Indians’, Mathematical Review, ed.HMS, 2004, num.62, p.24- 44 (in Greek)

• G. Baralis, T. Malafekas, E. Rappos and P. M. Vlamos, “The Instruction of Euclidean Geometry with the use of Educational software in multilingual classes”, The Teaching of Mathematical Society of Serbia (Belgrade), 2000, vol. III. 2, pp. 105-113

• George Baralis, ‘The ability to mathematize and to solve problems of the Second’s and Third’s Grade students of secondary school", Euclid C., ed. HMS, Athens 2001, vol 56, p. 20-36 (in Greek)

Publications in collective works

• Theodore Exarchakos, Georgios Baralis, ‘Cretan-Mycenaean era: writings and numerical systems. Possible use in Primary School’, published in Care for History (ιστορίας μέριμνα), an honorary volume for Professor C. N. Leontsini, National and Karodistrian University of Athens 2011, p. 411-429  (in Greek)

• G. Baralis, ‘Mathematics and its Didactics Teaching in regular classes where there are children with learning difficulties" in Towards a school for everyone. Interdisciplinary and Co-Education in Elementary School, th.M.Nikolakaki, Atrapos Publishing, 2004, p. 129-149 (in Greek)

 Papers in conference proceedings

• Charitaki C., Baralis C., & Polychronopoulou, S., ‘Correlating the  Mathematical sufficiency with the opinions of teachers of students with Down syndrome, in Proceedings of the Panhellenic Conference New Educator "Approaches to school process through the newest from pedagogical sciences", Athens 10-11 May 2014 - ISBN: 978-960-99435-5-0, p.908-917 (in Greek)

• Charitaki C., Baralis C., & Polychronopoulou, S., ‘Exploring the level of Early Mathematics Efficiency of students with Syndrome Down’ , the Proceedings of the 5th Conference of Union of Mathematics Education Researchers (ENEDIM) EN.E.DI.M. "Mathematics in school and in everyday life" Florina 28-30 March 2014 - ISSN: 1792-8494 (in Greek)

• C. Vryonis, T.Goupos, G. Baralis, " Cases of integrating open problematic situations in teaching Elementary Mathematics ", 1st Panhellenic Conference school consultants, Corinth 23-24 November 2013 (in Greek)

• George Baralis, ‘The operations on Salamis’s tablet and on the Roman abacus’, 30th National Conference on Mathematical Education, HMS, Karditsa 2013, p. 667-681 (in Greek)

• George Baralis, ‘Carl Friedrich Gauss: "The story of one of the most ‘gifted’ children in mathematics" Proceedings: Childhood: Sociological, Cultural, Historical and Educational Dimensions, Faculty of Primary Education, National and Kapodistrian University of Athens, 2013,  (in Greek)

• George Baralis, ‘The street vendors’ s Mathematics’ , 11th two-day Dialogue on the didactics of Mathematics, Electronics Conference Proceedings, University of Athens, Faculty of Early Childhood Education, National and Kapodistrian University of Athens, 2013, p. 131-148 (in Greek)

• Baralis G., Kontogiannis G., Kontogiannis D., "Eduard Helly and his contribution to Combinatorial Geometry’s development ", 15th Cyprus Conference on Mathematics Education, Cyprus Mathematical Society, Paphos 17-19 February 2013, p. 227-236 (in Greek)

• Baralis G., Triantafyllou A., Kremmidioti G., “The didactic utilization of the  longitudinal evolution of  multiplication in different cultures’s  mathematics in elementary school” , 29^th  Pan-Hellenic Conference of Mathematical Education, HMS, 2012, p.509-522  

• Baralis Georgios (2012), “The mathematical work of Dimitrios Govdelas and its influence on the education of the Greek-speaking regions in the meta-Byzantine Era”, 5^th International Conference of the European Society for the History of Science, “Scientific cosmopolitanism and local cultures: religions, ideologies, societies”, Athens 1-3 November 2012

• Baralis G., Stavrou I., “A teaching approach of equivalent of euro coins as an application of the analysis of number “five” using ICT in first grade students”, Proceedings of the  4th Conference on Informatics in education, 2012, editors ICT, p.  52-63

• Zaranis N., Baralis G., “Teaching cycle in first grade students, using ICT” in th. Karagiannidis C., Politis P., Karassavidis H., Proceeding works of the 8^th Pancellenic Conference ICT in Education , University of Thessaly , Volos 28-30 September 2012, (in Greek)

• George E. Baralis, Ioanna G. Stavrou, Evaggelia Mavrogianni, “A teaching approach using abacus applet for first grade children”,  International Scientific Conference eRA –7 For an Open Knowledge Society: Information Technology in Energy, Environment, Economy, Society and Education, Hellenic Educational Society, Piraias 27-30 September, 2012, p. 175-184

• Baralis G., Soulis Sp., Lappas D. & Charitaki G., “Providing students with mild mental retardation the opportunity to solve Division Problems related to real life”  Proceedings of the International CIEAEM 64 Conference “Mathematics Education and Democracy: learning and teaching practices”, Rhodes 23-27 July 2012, International Journal in Mathematics, 2012, p. 195-206

• Zogopoulos G., Baralis G., Alexopoulos K., “Mathematical methodological approach of the criteria of the factor “Teachers” to improve the quality of the educational process’,Proceedings of Panhellenic Conference “Quality in Education. Trends and perspectives’, 2012, p. 113-122, (in Greek)

• Baralis G., Zogopoulos G., ‘Methodes of applying Vroom-Yetton’s model and efficacy’s criteria of the factor School Management and Quality”, Proceedings of Panhellenic Conference “Quality in Education. Trends and perspectives’, 2012, p.325-334 (in Greek)

• Baralis G., Kontogiannis G., Kontogiannis D., ‘Diophantus's shapes’, 14th Cyprus Conference on Mathematics Education, Cyprus Mathematical Society, Paphos 17-19 February 2012, p. 425-440 (in Greek)

• Baralis G., “The use of Euclidean division’s algorithms and of the equivalent in solving everyday problems’, 28^th Pan-Hellenic Conference of Mathematical Education, HMS,2011, p.487-499(in Greek)

• Baralis G., Nikolaou E., “Ways with which students can control if a number is prime’, 28^th Pan-Hellenic Conference of Mathematical Education, HMS,2011, p. 471-486 (in Greek)

• Baralis, G., Nikolakaki, M., Ferentinos, S., Bouta, H. (2010), “An effective cross-curricular teaching scenario for the teaching of Mathematics: A journey through the first arithmetic systems”, Conference Proceedings, 6^th ICE, Samos (IN.E.AG) 8-10 July 2010, p. 209-215 (in Greek)

• Baralis G., Destes G, ‘The concept of trapezoid in the curriculum of elementary school. An alternative teaching approach using ICT’, Proceedings of the 5^th Panhellenic conference of the Hellenic Institute of Applied Pedagogy and Education  (ΕΛΛ.Ι.Ε.Π.ΕΚ.), Athens 7-9 May, 2010, (in Greek)

• Baralis G., “The emergence and the establishment of the ionic alphabetical numerical system in Greek area and its utilization in elementary school’, Proceedings of the 26^th Pan-Hellenic Conference of Mathematical Education, HMS, Thessaloniki 13-15 November, 2009, p.242-258(in Greek)

• Vryonis K., Baralis G., Goupos T., ‘Didactic practices of teachers in original everyday problems’ solving’, the Proceedings of the 3rd Conference of Union of Mathematics Education Researchers (ENEDIM), Rhodes 29-31 October 2009, p.279-288(in Greek)

• Baralis G., Vryonis K., ‘The ICT’s introduction in Elementary Education and its influence on teaching and learning procedures of Mathematics’, Proceedings of the «Workshop on Informatics in Education WIE 2009», University of Piraeus, Ionian University and Hellenic Society of Computer Science, Corfu, 12 September 2009, p.  171-183 (in Greek)

• Baralis G., ‘The geometrical concepts in elementary school’s first grade curriculum’ Proceedings of the 1^st Panhellenic conference of Sciences of Education, University of Athens, etc, Athens 28-31 May 2009, p. 593-603 (in Greek)

• Baralis G., ‘The role of metacognition and the selection of strategies in problem solving from elementary school’s  students’, Hellenic Educational Society, University of Athens, etc, Athens 5-7 December 2008, p. 675 – 683 (in Greek)

• G.Baralis, M.Patsalias, ‘The concepts of symmetry and harmony in Regular polyhedrons’,  Proceedings of the 8^th Panhellenic Conference “Mathematics and Human Sciences’, University of Athens, Athens 6-8 November 2008, p.359 – 379 (in Greek)

• Nikoloudakis Ε., Baralis G., ‘Improving Hoffer’s skills using the combination of the theory of Van Hiele’s’, Proceedings of the 25^th Pan-Hellenic Conference of Mathematical Education, HMS, Volos 21- 23 November 2008, p. 689-709 (in Greek)

• G.Baralis, “The ability of the transduction from one representation form to another about 2^nd and 3^rd grade students of secondary school’, Proceedings of the 20^th Pan-Hellenic Conference of Mathematical Education, HMS, Veroia, 7-9 November 2003, p. 145-155 (in Greek)

• Baralis G., ‘The astronomical work of Heraclides Ponticus and its influence on Aristarchus of Samos”, Proceeding of the 4^th Panhellenic Conference of University of Athens, Aegean University, Samos 2003, p.123-136(in Greek)

• Baralis G., “Ways of influence of Mathematics in Literature’, Proceedings of the 3^rd Panhellenic Conference, Faculty of Primary Education,  National and Kapodistrian University of Athens, Centre for Research in Science and Education, Athens 29 November-1 December, p.   781-790 (in Greek)

• Baralis G., “Arabs’s contribution to the rescue and the dissemination of Greek mathematical works" Proceedings of the 19^th Pan-Hellenic Conference of Mathematical Education, HMS, 8-10 November 2002, p.390-405 (in Greek)