## Dr Theodosia Prodromou

Lecturer, Mathematics Education - School of Education

**Phone: **+61 2 6773 3237

### Biography

Dr Theodosia
Prodromou is a Cypriot-Australian mathematician, statistician and mathematics educator,
who joined the University of New England in July 2009 to lecture in Mathematics
Education. She taught primary and secondary Mathematics in different countries of
Europe, and Australia.She has experience of teaching mathematics education to pre-service
teachers and in-service teachers within primary and secondary and post-graduate
programs.

She
is involved in European and International funded or unfunded projects.

She is a
chair of the GeoGebra Institute of the University of New England, NSW.

Dr Prodromou is keen
to discuss PhD and Masters supervision with potential candidates.

### Qualifications

Ph.D. Education (Mathematics), University of Warwick, UK

M.Sc. Statistics, University of Warwick, UK

B.Sc. Mathematics (Hons), Aristotle University of Thessaloniki

DipArt, Thessaloniki

DipTeach (Secondary Mathematics), University of Cyprus

Grad Cert, Tertiary Education, UNE

### Teaching Areas

EDME569 (Off campus) Unit Coordinator (T2, T3)

##### Teaching Awards

Unit Monitoring Commendation from the Senior Deputy Vice-Chancellor and Deputy Vice Chancellor Academic, awarded in 17 October, 2013.

Unit Monitoring Commendation from the Vice-Chancellor and CEO, awarded in March 2011.

### Research Interests

My interests include all aspects of mathematics education but in research, I mostly focus on:

- the relationship between technology and mathematical thinking;
- integrating digital technologies in the teaching of mathematics;
- STEM education;
- Professional development;
- statistics education, statistical literacy, statistical thinking including probability;
- exploratory data analysis, and visualization of data;
- modelling;
- design research, designing for mathematical abstraction;

##### Research awards

Tony Adams Fund 2015 for a research project to investigate the efficacy of progressive pedagogies in mathematics software to promote student learning in different countries

### Publications

##### Refereed journal papers

Meletiou-Mavotheris, M., & Prodromou, T. (in press). Pre-Service Teacher Training on Game-Enhanced Mathematics Teaching and Learning. Technology, knowledge and learning, Springer, doi: 10.1007/s10758-016-9275-y

Kyriakides, O. A., Meletiou-Mavotheris, M., & Prodromou, T. (2016). Mobile technologies in the service of students' learning of mathematics: The example of game application A.L.E.X. in the context of a primary school in Cyprus. Mathematics Education Research Journal, 28(1), 53-78. doi: 10.1007/s13394-015-0163-x

Prodromou, T., Lavicza, Z., & Koren, B. (2015). Increasing students’ involvement in technology-supported mathematics lesson sequences. International Journal of Technology in Mathematics Education, 22(4), 169-177. doi: 10.1564/tme_v22.4.05

Prodromou, T. (2015). Teachers’ technological pedagogical statistical knowledge. Australian Mathematics Teacher, 71(3), 32-40.

Prodromou, T. (2015). Students’ emerging reasoning about data of large-scale data. International Journal of Statistics and Probability, 4(3), 181-197. doi: 10.5539/ijsp.v4n3pxx

Prodromou, T., & Lavicza, Z., (2015). Encouraging Students’ Involvement in Technology-Supported Mathematics Lesson Sequences. Education Journal. 4(4), 175-181. doi: 10.11648/j.edu.20150404.16

Prodromou, T. (2015). Adults perception of risk in the big data era. *The Mathematics Enthusiast*, vol. 12, no. 1, 2 &3, 364-377.

Available at: http://scholarworks.umt.edu/tme/vol12/iss1/28

Prodromou, T (2014). GeoGebra in Teaching and Learning Introductory Statistics. *Electronic Journal of Mathematics and Technology*, 8(8), 363-376.

Prodromou, T (2014). GeoGebra in Teaching and Learning Introductory Statistics. *Journal of the International Society for Teacher Education (SFTE)*, 18(1), 53-66.

Prodromou, T (2014). Semiotic resources in the development of early probolistic thinking when teaching mathematics as storytelling. *International Journal of Elementary Education*, 3(6), 115-120.

Prodromou, T (2014). GeoGebra in Teaching and Learning Introductory Statistics. *The Research Journal of Mathematics and Technology*, 3(2), 17-30.

Prodromou, T. (2014). Drawing inference from data visualisations. *International Journal of Secondary Education*, 2(4), 66-72.

Prodromou, T. (2013). A Modelling approach to probability-analysing students' conceptual structures. *NOMAD - Nordic Studies in Mathematics Education* ,18(4), 101-124.

Prodromou, T., & Pratt, D. (2013). Making Sense of stochastic Variation and Causality in a Virtual Environment. *Technology, knowledge and learning*, Springer, 18(3),121-147. doi: 10.1007/s10758-013-9210-4

Prodromou, T. (2013). Informal Inferential Reasoning Using a Modelling Approach within a Computer-Based Simulation. *Special Issue of World Academy of Science, Engineering and Technology.* Vol. 78, pp. 1761-1766.

Available at: http://www.waset.org/journals/waset/v78/v78-301.pdf

Prodromou, T. (2013). Informal Inferential Reasoning: Interval Estimates of Parameters. *International Journal of Statistics and Probability*, 2(2), 136-152. doi: doi:10.5539/ijsp.v2n2p136.

Prodromou, T. (2013). Estimating Parameters from Samples: Shuttling between Spheres.* International Journal of Statistics and Probability*, 2(1), 113-124. doi: 10.5539/ijsp.v2n1p113.

Prodromou, T. (2012). Connecting experimental probability and theoretical probability*. International Journal on Mathematics Education (ZDM), *Springer, 44(7), 855-868. doi: 10.1007/s11858-012-0469-z.

Prodromou, T. (2012). Students' construction of meanings about the co-ordination of the two epistemological perspectives on distribution. *International Journal of Statistics and Probability*, 1(2), 283-300. doi: 10.5539/ijsp.v1n2p283.

Prodromou, T., & Pratt, D. (2006). The role of causality in the Co-ordination of the two perspectives on distribution within a virtual simulation. *Statistics Education Research Journal*, 5(2), 69-88.

Available at: http://www.stat.auckland.ac.nz/~iase/serj/SERJ5(2)_Prod_Pratt.pdf

##### Non-refereed journal papers

Prodromou, T., Meletiou-Mavotheris, M., & Kyriakides, O. A. (2014). Students’ interactions with the Recce 3D map. *Reflections, Mathematical Association of New South Wales*, 39 (4), p. 41-43.

Prodromou, T. (2014). Graphical Competence: Using GeoGebra to construct frequency histograms and polygons and set appropriate classes of data. *Reflections, Mathematical Association of New South Wales*, 39 (3), p. 35-37.

Prodromou, T. (2014). Teaching statistics with GeoGebra. *Reflections*, *Mathematical Association of New South Wales, *v. 39 (2), p. 31-33. * *

Prodromou, T. (2014). Quantitative practices that might arise with the use of new technological capabilities for exploring data. *Reflections, Mathematical Association of New South Wales*, 39(1), 40-42.

##### Book Chapters

Prodromou, T., Meletiou-Mavotheris, M., & Kyriakides, O. A. (2015). Students’ kinaesthetic interactions with a touch-enabled virtual mapping tool. In Meletiou-Mavrotheris, K. Mavrou & E. Paparistodemou (Eds.), *Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education, *pp. 1-23*. *Hershey: IGI Global. doi: 10.4018/978-1-4666-8714-1.ch001

Kyriakides, O. A., Meletiou-Mavotheris, M., &
Prodromou, T. (2015/in press). Changing children’s stance towards
mathematics through mobile teaching: The case of robot A.L.E.X. *Integrating
Touch-Enabled and Mobile Devices into Contemporary Mathematics Education, *pp.
125-149*. *Hershey: IGI Global. doi: 10.4018/978-1-4666-8714-1.ch006

Prodromou, T. (2014). Developing a modelling approach
to probability using computer-based simulations. In E. J. Shernoff &
B. Sriraman (Eds.), *Probabilistic Thinking: Presenting Plural
Perspectives*, pp. 417-439. New York, NY: Springer. doi:
10.1007/978-94-007-7155-0_22

Prodromou, T. (2013). Connecting Probability to
Statistics using simulated phenomena. In J Madden & R. Smith (Eds.), *International
Teacher Education Dialogue*, pp. 59-70. New South Wales: The Primrose
Hall Publishing Group.

##### Refereed Conference Papers

Prodromou, T. (2014). Multidirectional modelling for fostering students’ connections between real context and data, and probability distributions. In K. Makar, B. de Sousa, & R. Gould (Eds.), *Sustainability in statistics education. Proceedings of the Ninth International Conference on Teaching Statistics (ICOTS9, July, 2014), Flagstaff, Arizona, USA*: International Statistical Institute.

Online: http://icots.net/9/session.php?s=6E, Voorburg, The Netherlands: International Statistical Institute.

Prodromou, T. (2013). GeoGebra in Teaching and Learning Introductory Statistics. *Proceedings of the 18th Asian Technology Conference in Mathematics*, pp.236-245, Mumbai, India: ATCM.

Prodromou, T. (2013). Students' emerging expressions of uncertainty while making informal statistical inferences about data. *Proceedings of the joint IASE/IAOS international conference of Statistics Education for progress organised by the International association of Statistics Education (IASE) and the International Association for Official Statistics (IAOS),* In S. Forbes and B. Phillips (Eds). Macau, China: IASE/IAOS. Online: http://iase-web.org/documents/papers/sat2013/IASE_IAOS_2013_Paper_1.2.4_Prodromou.pdf

Prodromou, T. (2013). Data Visualisation and Statistics from the Future. Proceedings of the 59th ISI World Statistics Congress (Data visualization for youth appeal Sponsoring Association(s)) (Paper 3), p. 1-6. Hong Kong, China: International Statistical Institute (ISI).

Prodromou, T. (2013). Informal Inferential Reasoning Using a Modelling Approach within a Computer-Based Simulation. In A. M. Lindmeier & H. Aiso (Eds.), *Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education*, Vol. 4, pp. 57-64. Kiel, Germany: PME.

Prodromou, T. (2013). How pre-service teachers integrate knowledge of students' difficulties in understanding the concept of the arithmetic mean into their pedagogy. In V. Steinle, L. Ball & C.Bartini (Eds.), *Mathematics education: Yesterday, today and tomorrow, (Proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia*), pp. 546-553. Melbourne, Australia: MERGA, Inc.

Prodromou, T. (2013). Informal Inferential Reasoning Using a Modelling Approach within a Computer-Based Simulation. World Academy of Science, Engineering and Technology Vol. 78, (Article# 301), pp. 1739-1744, Paris, France: ICAPBS.

Prodromou, T. (2012). The Classicist and the frequentist approach to probability within a Tinkerplots2 Combinatorial Problem. In J. Dindyal, L. P. Cheng & S. F. Ng (Eds.), *Mathematics education: Expanding horizons, (Proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia*, eBook, p. 410-417). Singapore: MERGA, Inc.

Prodromou, T. (2012). Developing a modeling approach to probability using computer-based simulations. *Proceedings of the 12th International Congress on Mathematical Education*, Topic Study Group 11, pp. 2394-2403. COEX, Seoul, Korea: ICME.

Prodromou, T. (2012). The Interplay between semiotic means of objectification used in probability experiments. In Tso, T.Y. (Ed.). *Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education*, Vol. 3, pp. 321-328.Tapei, Taiwan: PME.

Prodromou, T. (2012). Drawing Connections from modeling distribution to data-centric distribution. *Proceedings of the 2nd International STEM in Education Conference Science, Teachnology, Engineering and Mathematics Education*, pp. 217-224. Beijing, CHINA: STEM.

Prodromou, T. (2012). Connecting Probability to Statistics using Simulated Phenomena. *Proceedings of the 17th Asian Technology Conference in Mathematics*, pp. 367-276. Bangkok, Thailand: ATCM.

Prodromou, T. (2011). Making connections between the sample space and the probability of an event. In Ubuz, B. (Ed.). *Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education*, Vol. 3, pp. 401-408. Ankara, Turkey: PME.

Prodromou, T. (2011). Students' emerging inferential reasoning about samples and sampling. In Clark, J., Kissane, B., Musley, J., Spencer, T. & Thornton, S. (Eds.). *Proceedings of the 34th Annual Conference of the Mathematics Education Research Group of Australasia*, p. 640-648. Alice Springs, Australia: MERGA34.

Prodromou, T., & Reading, C. (2011). Reasoning about sampling in the context of making informal statistical inferences. In Baker, A. (Ed.). *Proceedings of the 7th Seventh International Collaboration for Research on Statistical Reasoning, Thinking and, Literacy (SRTL-7)*, pp. 66-85. Texel Island, Netherlands: SRTL-7.

Prodromou, T. (2011). Connecting Experimental and Theoretical Perspectives. *Proceedings of the Seventh Congress of the European society for Research in Mathematics*, p. 640-648.Rzeszow, Poland: CERME7.

Prodromou, T., & Pratt. D. (2010). Discriminating "Signal" and "Noise" in Computer-Generated Data. In Pinto, M. F. & Kawasaki, T. F. (Eds.). *Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education*, Vol. 4, pp. 57-64, Belo Horizonte: PME.

Prodromou, T., & Pratt, D. (2009). Student's causal explanations for distribution, In V. Durand-Guerrier, S. Soury-Lavergne and F. Arzarello, (Eds), *Proceedings of the Sixth Conference of the European Society for Research in Mathematics Education,* 394-403, Lyons, France.

Prodromou, T., & Pratt, D. (2008)*. *The emergence of stochastic causality. *Proceedings of the Thirty Second Conference of the International Group for the Psychology of Mathematics Education*, (Vol. 1, pp. 137-144) Morelia, Mexico.

Prodromou, T. (2007). Making connections between the two perspectives on distribution.* In D. Pitta-Pantazi & G. Philippou (Eds.), Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education, (pp. 801-810). *Larnaca, Cyprus.

Pratt, D., Jones, I., & Prodromou, T. (2006). An elaboration of the design construct of phenomenalisation*. 7th International Conference on Teaching Statistics, *Brazil.

Online : http://iase-web.org/documents/papers/icots7/7F1_PRAT.pdf

Prodromou, T. & Pratt, D. (2006). Towards the design of tools for the organization of the stochastic. In M. Bosch (Ed.), *Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education*, (pp. 619-628). Sant Feliu de Guixols, Spain.

Prodromou, T., & Pratt, D. (2005). Harnessing the causal to illuminate the stochastic. In D. Hewitt & A. Noyes (Eds.), *Proceedings of the Sixth British Congress of Mathematics Education*, 25(1), (pp. 136-143). University of Warwick, UK.

Prodromou, T. (2004). Distribution as emergent phenomenon*. Proceedings of the British Society for Research into Learning Mathematics*, 24(1), pp. 49-54.

##### Non-Refereed Conference Papers

Arzarello, F., Kenett. R.S., Robutti, O., Shafrir, U., Prodromou, T., Carante, P. (2015). Teaching and Assessing with New Methodological Tools (MERLO): a New Paradigm? In M.A. Hersh & M. Kotecha (Eds.), *Proceedings of the IMA International Conference on Barriers and Enablers to Learning Maths: Enhancing Learning and Teaching for All Learners*. (IMA), Glasgow, Scotland, June 10-12.

Prodromou, T., & Mavrotheris, M. (2015). Students’ emerging reasoning about large-scale data tables. In Beswick, K., Muir, T., & Wells, J. (Eds.). *Proceedings of 39th Psychology of Mathematics Education conference*, Vol. 1, p. 196. Hobart, Australia: PME, July 13-18.

Prodromou, T., Lavicza, Z., & Koren, B. (2015). Encouraging Students' Involvement in Technology-Supported Mathematics Lesson Sequences. Proceedings of the Ninth Congress of the European Research in Mathematics Education: Thematic Working Group Papers (TWP16) (Paper 17), p. 1-10 (2015) -- European Society for Research in Mathematics Education (CERME), Prague, Czech Republic, February 4-8.

Prodromou, T. (2014). Drawing Inference from Data Visualisations. In Oesterle, S., Nicol, C., Liljedahl, P., & Allan, D. (Eds.) *Proceedings of the Joint Meeting of PME 38 and PME-NA 36*, Vol. 6, p. 200. Vancouver, Canada: PME, July 15-14.

Prodromou, T. (2012). Design experiments in mathematics education. Paper presented at the Deakin Symposium: Contemporary approaches to research in mathematics, Science, health and Environmental Education, Melbourne, November, 29 – 30.

Prodromou, T., & Reading, C. (2010). Visual representation of the syllabus content about "data". In C. Reading (Ed.), *Data and context in statistics education: Towards an evidence-based society. Proceedings of the* *Eighth International Conference on Teaching Statistics (ICOTS8, July, 2010), Ljubljana, Slovenia*. Voorburg, The Netherlands: International Statistical Institute.

Online: http://iase-web.org/documents/papers/icots8/ICOTS8_C175_PRODROMOU.pdf

Prodromou, T. (2007). The co-ordination of distributional thinking*. Proceedings of the Fifty six Session of the International Statistical Institute, *Lisbon, Portugal.

Online: http://iase-web.org/documents/papers/isi56/CPM80_Prodromou.pdf

Pratt, D. & Prodromou, T. (2005). The emergence of distribution from causal roots, *Proceedings of the Fourth International Research Forum on Statistical Reasoning, Thinking and Literacy *(CD-ROM). Auckland, New Zealand.

##### Invited Lectures/Papers/Presentations

Prodromou, T. (2015). Creating models and simulations of real world phenomena by defining attributes for a phenomenon, Invited paper presented at the *60 ^{th} World Statistics Congress of the International Statistical Institute (ISI)*, Rio de Janeiro, Brazil, July, 30.

Prodromou, T. (2014). Data comparison in Italy-Australia project of teacher training with GeoGebra. *IV GeoGebra Institute of Torino, IV Italian Day-2014. Teachers’ professional development with GeoGebra*, Torino, October, 3.

Online: http://community.geogebra.org/it/wp-content/uploads/sites/8/2014/08/IV-GG-Day-Torino_en_3ann.pdf

Prodromou, T. (2014). Multidirectional modelling for fostering students’ connections between real context and data, and probability distributions. *Proceedings of the 9th International Conference on Teaching Statistics (ICOTS9, July, 2014), *Flagstaff, Arizona, USA: International Statistical Institute.

Online: http://icots.net/9/session.php?s=6E

Prodromou, T., & Meletiou-Mavrotheris, M. (2014). European population growth, Invited paper/workshop presented at the *European Student Conference in Mathematics EUROMATH-2014*, Nicosia, Cyprus, April, 24-28.

Online: http://www.euromath.org/index.php?id=119

Prodromou, T. (2013). Teaching early Stochastic thinking: insights for lifelong learning. Invited paper presented at the Seminari di Statistica e Probabilità 2013 at the Dipartimento di Scienze Matematiche Politecnico di Torino, Italy, March, 6.

Retrieved from http://calvino.polito.it/~probstat/seminars/seminars13.html

Prodromou, T. (2013). Data Visualisation and Statistics from the Future. Invited speech in data visualisation at the 59th ISI World Statistics Congress (Data visualization for youth appeal Sponsoring Association(s)) in Hong Kong, China: International Statistical Institute (ISI).

##### Presentations

Prodromou, T. (2015). Development of modelling competencies in statistical inference. Paper presented at ICTMA-17, Nottingham, United Kingdom, July 19- 24.

Prodromou, T. (2013). The math content as it emerges from Year 3 students' use of visual representations. Paper presented at the Mathematical Association of New South Wales (MANSW) Annual Conference: Lucky for Sum!, Terrigal, Australia, 13th - 15th September.

Prodromou, T. (2013).Pre-service teachers integrating statistical content (stage 3), child development, pre-service teachers' thinking and pedagogy. Paper presented at the 33rd International Society for Teacher Education (ISFTE), Hong Kong, May 27-31.Prodromou, T. (2012). Connecting Probability to Statistics using Simulated Phenomena. Paper presented at the 2012 International Teacher Education Dialogue in Coffs Harbour, August, 2-3