Eugenia Koleza | University of Patras (original) (raw)

Papers by Eugenia Koleza

Proceedings of the 8th Congress of the European Society for Research in Mathematics Education, CERME 8, 2013

While there are many studies about the statistical literacy of students those who concern the sta... more While there are many studies about the statistical literacy of students those who concern the statistical literacy of pre-service teachers are relatively few. With the present study we attempt to investigate the level of statistical literacy of pre-service teachers in their first year at the university and after the end of schooling. For the purpose of this study we adapted the framework for statistical literacy of and , while for the assessment of the participants' responses we used a modified model of SOLO taxonomy. Our study findings indicate the low level of statistical literacy among pre-service teachers in their first year at the university.

Proceedings of the 8th Congress of the European Society for Research in Mathematics Education, CERME 8, 2013

In our study we attempted to investigate the criteria used by preschool children in distinguishin... more In our study we attempted to investigate the criteria used by preschool children in distinguishing basic geometric shapes, namely circles, rhombus, squares, triangles and rectangles. Besides the detection of the syncretic level as it was described by , analysis of our observations revealed seeds of relational thinking in very early age, which via suitable collaborative tasks designed by teachers may advance preschoolers geometric thinking.

12th International Congress on Mathematical Education, COEX, Seoul, Korea., 2012

The present study attempts a first approach to describe primary teachers' content knowledge of st... more The present study attempts a first approach to describe primary teachers' content knowledge of statistics in Greece. Using a combination of qualitative and quantitative methods, assessment and interview data were analyzed in order to determine the level of comprehension of ten in-service teachers. Given that a new mathematics curriculum with a great emphasis on statistics will be implemented next year, the conclusion is that this implementation will be problematic because of poor knowledge and experience of primary teachers. Implications for teacher preparation through professional development programs are discussed.

Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education, CERME 7, 2707- 2716. , 2011

The focus of this study is on the investigation of seven teachers' conceptions concerning the cog... more The focus of this study is on the investigation of seven teachers' conceptions concerning the cognitive demands of the mathematical task. This study is part of an ongoing research on elementary teachers' professional development concerning their ability in designing goal oriented activities for mathematics teaching. Through our research, we tried to investigate precise components of teachers' Mathematical Knowledge for Teaching and Pedagogical Content Knowledge. Teachers collaborated as members of a Community of Practice in order to design, comment and reevaluate mathematical activities, concerning mainly their cognitive demand. Κeywords: mathematical task, cognitive demand, professional development

Proceedings of the European Physical Society Conference “Notions of Physics in Natural Philosophy”, Cambridge Scholars Publishing, Cambridge, 85-96., 2008

Proceedings of the Joint Meeting of the 32nd Conference of the International Group for the Psychology of Mathematics Education, 89-96. , 2008

Proceedings of the 5th International Colloquium on the Didactics of Mathematics, vol.2, 157-171. , 2008

Proceedings of the 8th International Conference on Technology in Mathematics Teaching, ICTMT8 , 2007

Proceedings of the 6th International Conference on Technology in Mathematics Teaching, 184-190, 2003

Proceedings of the 3rd Mediterranean Conference on Mathematical Education, 387-397, 2003

International Journal for Mathematics in Education, 4, 337- 342 , 2012

With the present study we intended to explore the knowledge of inservice teachers with regards to... more With the present study we intended to explore the knowledge of inservice teachers with regards to the notion of statistical literacy and its connection with effective citizenship in a democratic society.

International Journal for Mathematics in Education, 4, 281- 285. , 2012

This article explores aspects of the process of questioning which could limit the potential of st... more This article explores aspects of the process of questioning which could limit the potential of student voice in the mathematics classroom. More particularly, we focus on the way pupils experience practices of questioning in the mathematics classroom from an equity perspective.

Emerging Trends in Computing, Informatics, Systems Sciences, and Engineering, 263-275, Springer New York., 2013

Development and evaluation issues of a computer game, named "PwN", are presented in this study. P... more Development and evaluation issues of a computer game, named "PwN", are presented in this study. PwN application aims to enhance students' mathematical thinking, as well as to examine their problem solving strategies when confronted with simple mathematical tasks such as addition and multiplication. The application operates with random numbers that fall in a "box". Individual scores are calculated when the appropriate computation is achieved. PwN development was based on the linear model using prototypes with continuous formative evaluation. Summative evaluation results indicate that the application improved the children's skills both in addition and multiplication tasks.

American Journal of Mathematics and Sciences, 2 (1), 355-363., 2013

This work is focused on the second target.

International Journal for Mathematics in Education, 4, 343- 348, 2012

This paper constitutes a small part of a further study which was carried out within the framework... more This paper constitutes a small part of a further study which was carried out within the framework of a professional development program, focused on the pedagogical knowledge of teachers. Interesting findings emerged about issues of equity and democracy in the questioning patterns that Greek teachers use in the mathematics class.

Nordic Studies in Mathematics Education (NOMAD), 11 (3), 31-55., 2006

The cognitive processes of 15-year-old students, when they solve geometrical problems involving... more The cognitive processes of 15-year-old students, when they solve geometrical problems involving the construction of isosceles triangles, and the different forms of reasoning which they use, are investigated in this paper. First we explore the large variety of reasoning processes, which appear, categorize them in three approaches (visual, heuristic and theoretical) and look at the language which is used by each one. Then we focus on the weaknesses of students' reasoning and examine their reasons. The analysis of the data intends to support teachers to recognize and understand the relationship between students' reasoning (nature of justification) and theirgeometrical thought.

-Υποψ. ∆ιδάκτωρ Παν/µίου Ιωαννίνων linapat@math.uoa.gr ΠΕΡΙΛΗΨΗ Στην παρούσα εργασία παρουσιάζετα... more -Υποψ. ∆ιδάκτωρ Παν/µίου Ιωαννίνων linapat@math.uoa.gr ΠΕΡΙΛΗΨΗ Στην παρούσα εργασία παρουσιάζεται µια διδακτική προσέγγιση η οποία περιλαµβάνει την µοντελοποίηση ταυτοτήτων µέσα από την χρήση γεωµετρικών αναπαραστάσεων µε την βοήθεια του λογισµικού δυναµικής γεωµετρίας Geometer's Sketchpad v4.07( N..Jackiw,2001) , το οποίο µπορεί να διευκολύνει την διδασκαλία των µαθηµατικών, χωρίς να αντικαθιστά όµως τον δάσκαλο των µαθηµατικών. Τα παιδιά που χρησιµοποιούν τη µοντελοποίηση στα µαθηµατικά , µπορούν να κάνουν περισσότερο συγκεκριµένες αφηρηµένες έννοιες και λειτουργίες ενώ αναπτύσσεται η σύνδεση µεταξύ διαδικαστικής και εννοιολογικής γνώσης. Σκιαγραφείται η θεωρία της εργαλειακής γένεσης σε σχέση µε τον τρόπο κατασκευής, χρήσης των εργαλείων. Έτσι οι µαθητές µοντελοποιούν µαθηµατικές ιδέες µετασχηµατίζοντας τα γεωµετρικά αντικείµενα σε αλγεβρικά αντικείµενα ενώ µέσα από την αλληλεπίδραση µε τις δραστηριότητες και τα εργαλεία του λογισµικού µπορούν να οδηγηθούν σε ένα επίπεδο συµβολικής ικανότητας . ΛΕΞΕΙΣ ΚΛΕΙ∆ΙΑ: µοντελοποίηση ταυτοτήτων, αλγεβρικές δοµικές µονάδες (algebra tiles), λογισµικό δυναµικής γεωµετρίας ΕΙΣΑΓΩΓΗ Η γεωµετρική αναπαράσταση ταυτοτήτων, εξισώσεων και γενικότερα αλγεβρικών σχέσεων συναντάται ήδη στα Στοιχεία του Ευκλείδη (325-265) και στα Κωνικά του Απολλώνιου (265-170). Γράφει συγκεκριµένα ο Ε. Σταµάτης (Στοιχεία Βιβλία εισαγωγή σελ. 17-18 ) :«Το ΙΙ βιβλίο των Στοιχείων του Ευκλείδη ….περιέχει την εφαρµογή της γεωµετρίας στην Άλγεβρα και αποδίδεται κατά το µέγιστο στους Πυθαγορείους . Τα πρώτα 10 θεωρήµατα αφορούν εις αλγεβρικάς ταυτότητας, τας οποίας δυνάµεθα να παραστήσωµεν ως ακολούθως αν δια των γραµµάτων α,β,γ ,…νοήσωµεν τµήµατα ευθειών γραµµών». Αλλά και πολύ αργότερα στα κείµενα του al-Khwarizmi(790~840) παρατηρούµε ότι οι λύσεις των αλγεβρικών εξισώσεων κατασκευάζονταν οπτικά χρησιµοποιώντας γεωµετρικές αναπαραστάσεις που εξέφραζαν τις διάφορες αριθµητικές ποσότητες του προβλήµατος.