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Η ΑΝΑΠΤΥΞΗ ΤΗΣ ΑΤΥΠΗΣ ΣΤΑΤΙΣΤΙΚΗΣ ΣΚΕΨΗΣ ΣΕ ΜΑΘΗΤΕΣ ΜΙΚΡΗΣ ΗΛΙΚΙΑΣ

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Έφη Παπαριστοδήμου (Efi Paparistodimou), Μαρία Μελετίου - Μαυροθέρη

Περίληψη


Το άρθρο εστιάζεται στην ανάπτυξη της άτυπης επαγωγικής συλλογιστικής (informal inferential reasoning) με τη χρήση του δυναμικού λογισμικού TinkerPlots®, το οποίο σχεδιάστηκε ειδικά για παιδιά δημοτικού και γυμνασίου. Τα αποτελέσματα της έρευνας δείχνουν ότι η διδακτική της στατιστικής μπορεί να προάγει την ανάπτυξη της επαγωγικής σκέψης σε παιδιά μικρής ηλικίας, μέσα από άτυπες, βασισμένες σε δεδομένα προσεγγίσεις. Επίσης, υποδεικνύουν ότι η χρήση του δυναμικού λογισμικού στατιστικής έχει τη δυνατότητα να ενισχύσει τη διδακτική της στατιστικής μέσω του επαγωγικού στατιστικού συλλογισμού, ο οποίος είναι προσιτός στους νεαρούς μαθητές.


Λέξεις κλειδιά


Στατιστική Σκέψη; Επαγωγικός Συλλογισμός; Δυναμικό Λογισμικό; TinkerPlots

Πλήρες Κείμενο:

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Αναφορές


Australian Education Council (1991). A national statement on mathematics for Australian

schools. Melbourne: Author.

Bakker, A. (2004). Reasoning about shape as a pattern in variability. Statistics Education

Research Journal, 3 (2), 64-83.

Ben-Zvi, D. (2000). Toward Understanding the Role of Technological Tools in Statistical

Learning. Mathematical Thinking and Learning, 2 , 127-155.

Ben-Zvi, D. (2006). Scaffolding students’ informal inference and argumentation. In

A. Rossman & B. Chance (Eds.), Working Cooperatively in Statistics Education:

Proceedings of the Seventh International Conference of Teaching Statistics

(ICOTS-7) , Salvador, Brazil. Voorborg, The Netherlands: International Statistical

Institute.

Common Core State Standards Initiative (2010). Mathematics. Washington, DC: Council

of Chief State School Offi cers & National Governors Association Center for Best

Practices.

GAISE Report (2005). Guidelines for assessment and instruction in statistics education:

A Pre-K-12 Curriculum Framework . Alexandria, VA: The American Statistical

Association. [Online: http://www.amstat.org/education/gaise]

Garfi eld, J., & Ahlgren, A. (1998). Diffi culties in learning basic concepts in probability

and statistics: Implications for research. Journal for Research in Mathematics

Education, 19 , 44-63.

Gil, E., & Ben-Zvi, D. (2011). Explanations and Context in the Emergence of Students’

Informal Inferential Reasoning. Mathematical Thinking and Learning , 13 (1), 87-

Gordon, F. S., & Gordon, S. P. (1992). Sampling + Simulation = Statistical Understanding. In

F. S. Gordon (Ed.), Statistics for the twenty-fi rst century (pp. 207-216). Washington,

DC: The Mathematical Association of America.

Green, D. G. (1982). A survey of probability concepts in 3000 students aged 11-16. In

D. V. Grey (Ed.), Proceedings of the First International Conference on Teaching

Statistics (pp. 766-783). London: Statistics Teaching Trust.

Hammerman, J., & Rubin, A. (2003). Reasoning in the Presence of Variability. In C. Lee

(Ed), Reasoning about Variability: A Collection of Current Research Studies [On

CD]. Dordrecht, the Netherlands: Kluwer Academic Publisher.

Konold, C., & Miller, C. D. (2005). TinkerPlots: Dynamic Data Explorations . Emeryville, CA:

Key Curriculum Press.

Makar, K., & Ben-Zvi, D. (2011). The role of context in developing reasoning about informal

statistical inference. Mathematical Thinking and Learning , 13 , 1-4.

Makar, K., & Confrey, J. (2007). Moving the context of modeling to the forefront. In W.

Blum, P. Galbraith, H-W. Henn, & M. Niss (Eds.), Modelling and applications in

mathematics education. New York: Springer.

Makar, K., Fielding-Wells, J., & Allmond, S. (2011, July). Is this game 1 or game 2? Primary

children’s reasoning about samples in an inquiry classroom. Paper presented at

the Seventh International Forum for Research on Statistical Reasoning, Thinking,

& Literacy. Texel, The Netherlands.

Makar, K., & Rubin, A. (2007, August). Beyond the bar graph: Teaching informal statistical

inference in primary school. Paper presented at the Fifth International Research

Forum on Statistical Reasoning, Thinking, and Literacy (SRTL-5). Warwick, UK.

Meletiou-Mavrotheris, M. (2003). Technological Tools in the Introductory Statistics

Classroom: Effects on Student Understanding of Inferential Statistics. International

Journal of Computers for Mathematical Learning , 8(3), 265-297.

Meletiou-Mavrotheris, M., and Paparistodemou, E. (2015). Developing Young Learners’

Reasoning about Samples and Sampling in the Context of Informal Inferences.

Educational Studies in Mathematics, 88(3), 385-404.

National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards

for School Mathematics . Reston, VA: Author.

Paparistodemou, E., Noss, R., & Pratt, D. (2008). ‘ The Interplay between Fairness and

Randomness’ International Journal of Computers for Mathematical Learning, 13,

-110.

Paparistodemou, E., & Meletiou-Mavrotheris, M. (2008). Enhancing Reasoning about

Statistical Inference In 8 Year-Old Students. Statistics Education Research Journal,

(2), 83-106.

Paparistodemou, E. & Meletiou-Mavrotheris, M. (2010). Engaging Young Children in

Informal Statistical Inference. 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.

Pratt, D. (2000). Making Sense of the Total of two Dice. Journal of Research in Mathematics

Education, 31, 602-625.

Pratt, D., Johnston-Wilder, P., Ainley, J., & Mason, J.(2008). Local and Global Thinking in

Statistical Inference. Statistics Education Research Journal, 7(2), 107-129.

Pfannkuch, M. (2006). Informal inferential reasoning. In A. Rossman & B. Chance

(Eds.), Working Cooperatively in Statistics Education: Proceedings of the Seventh International Conference of Teaching Statistics, [CDROM]. Salvador, Brazil Voorburg, The Netherlands: International Statistical Institute.

Rubin, A., Hammerman, J., & Konold, C. (2006). Exploring informal inference with

interactive visualization software. In A. Rossman & B. Chance (Eds.), Working

Cooperatively in Statistics Education. Proceedings of the Seventh International

Conference on Teaching Statistics, [CDROM]. Salvador, Brazil. Voorburg, The

Netherlands: International Statistical Institute.

Shaughnessy J. M., Ciancetta M., Best K., & Canada D. (2004, April). Students’ attention

to variability when comparing distributions. Paper presented at the 82nd Annual

Meeting of the National Council of Teachers of Mathematics. Philadelphia, PA.

Sorto, M. A. (2006). Identifying Content Knowledge for Teaching Statistics. In A. Rossman

and B. Chance (Eds.), Proceedings of the Seventh International Conference on

Teaching Statistics. Salvador, Brazil. Voorburg, The Netherlands: International

Statistical Institute.

Stohl, H. & Tarr, J. E. (2002). Using Multi-Representational Computer Tools to Make Sense

of Inference. In D. Mewborn (Ed.), Proceedings of the Twenty-fourth Annual Meeting

of the North American Chapter of the International Group for the Psychology of

Mathematics Education. Athens, GA: PME-NA.

Στυλιανού, Δ., & Μελετίου-Μαυροθέρη, Μ. (2003). Δυναμικά Λογισμικά: Νέες Προοπτικές

για τη Χρήση Τεχνολογίας στη Διδασκαλία των Μαθηματικών. Σύγχρονη Εκπαίδευ -

ση , 132, 27-37.

Watson, J. (2007, August). Facilitating beginning inference with TinkerPlots for novice

grade 7 students. Paper presented at the Fifth International Research Forum on

Statistical Reasoning, Thinking, and Literacy (SRTL-5). Warwick, UK.

Watson, J.M., & Moritz, J.B. (2000). Developing concepts of sampling. Journal for

Research in Mathematics Education, 31, 44-70.

Wild, C. J., & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry (with

discussion). International Statistical Review, 67(3), 223-265.

Zieffl er, A., delMas, R., Garfi eld, J., & Gould, R. (2007, August). Studying the development of

college students’ informal reasoning about statistical inference. Paper presented

at the Fifth International Research Forum on Statistical Reasoning, Thinking, andLiteracy (SRTL-5). Warwick, UK.


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