Understanding the Concepts in Probability of Pre-School and Early School Children
 
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University of Ljubljana, Ljubljana, SLOVENIA
 
 
Publication date: 2011-12-21
 
 
EURASIA J. Math., Sci Tech. Ed 2011;7(4):263-279
 
KEYWORDS
ABSTRACT
In the Slovenian National Mathematics Curriculum the probability contents are first mentioned in the ninth grade of elementary school (at the age of 14), yet they are introduced informally, only in some first triad textbook sets. The researchers disagree as to the age of children at which they are able to deal with certain probability contents. In view of this fact our aim was to establish the age at which children are able to differentiate among certain, possible and impossible events, and predict the likelihood of various events. 623 pupils of the first three grades of elementary school participated in the study. We presumed that they were able to differentiate among certain, possible and impossible events, and compare the probability of various events, while only half of the children aged 4-5 years participating in the research were equally able. The major difference in their abilities was noticed between the children aged from 4-5 years and the first graders, but there were only slight gender differences. Children of all age groups encountered difficulties at predicting events with equal probability. The first graders can be taught the latter by applying the teaching approach, based on their concrete experience, and by mastering the technique for solving tasks with equal probability. When comparing the results with the opinions of the respondent teachers and pre-school teachers, it is evident that they are under the misconception regarding the children's abilities to solve probability tasks. The majority of the respondents stated that children were able to differentiate among certain, possible and impossible events, and compare the probability of various events not earlier than at the age of eight years; on the contrary, the findings of our research established that children were able to achieve both goals much earlier.
 
REFERENCES (34)
1.
Andrew, L. (2009). Experimental probability in elementary school. Teaching Statistics, 31 (2), 34–36.
 
2.
Ashline, G., Frantz, M. (2009) Proportional reasoning and probability. Synergy Learning Nov/Dec, 8-10.
 
3.
Aspinwall, L., Shaw, K. L. (2000). Enriching students' mathematical intuitions with probability games and tree diagrams. Mathematics Teaching in the Middle School, 6(4), 214-220.
 
4.
Castro, C. S. (1998). Teaching probability for conceptual change. Educational Studies in Mathematics, 35, 233-254.
 
5.
Chapman, R. (1975). The development of childern's understanding of proportions. Child Development, 46 (1), 141–148.
 
6.
Chick, H. (2010). A Lakatosian encounter. Mathematics Teaching, 218, 3–9.
 
7.
Cotič, M. (1999). Obdelava podatkov pri pouku matematike 1-5. Teoretična zasnova modela in njegova didaktična izpeljava. Ljubljana: Zavod Republike Slovenije za šolstvo.
 
8.
Cotič, M., & Hodnik Čadež, T. (2002). Teoretična zasnova modela sprememb začetnega pouka matematike v devetletni osnovni šoli. Sodobna Pedagogika, 53 (2), 8–23.
 
9.
Davies, C. M. (1965). Development of the probability concept in children. Child Development, 36 (3), 779–788.
 
10.
Falk, Ru., Falk, Ra., & Levin, I. (1980). A potential for learning probability in young children. Educational Studies In Mathematics, 11(2), 181–204.
 
11.
Fischbein, E. (1987). Intuition in science and mathematics: An educational approach. Holland: D. Reidel Publisching Company.
 
12.
Fischbein, E. (1984). L'insegnamento della probabilità nella scuola elementare. In Prodi, G. (Ed.), Processi cognitivi e apprendimento della matematica nella scuola elementare (str. 35-49). Brescia: Editrice La Scuola.
 
13.
Fischbein, E., & Grossman, A. (1997). Schemata and ituitions in combinatorial reasoning. Educational Studies in Mathematics, 34 (1), 27–47.
 
14.
Fischbein, E., & Gazit, A. (1984). Does the teaching of probability improve probabilistic intuitions? Educational Studies in Mathematics, 1 (1), 1–24.
 
15.
Fischbein, E. (1985) Intuzioni e pensiero analitico nell’educazione matematica. In Artusi, C. (Ed.) Numeri e operazioni nella scuola di base. Bologna: Umi-Zanichelli.
 
16.
Fischbein. E., Pampu, I., & Manzat, I. (1970). Comparison of ratios and the chance concept in children. Child Development, 41 (2), 377–389.
 
17.
Gates, L. W. (1981). Probability experiments in the secondary school. Teaching Statistics, 3(2), 34-36.
 
18.
Gelman, A., & Glickman M. E. (2000). Some classparticipation demonstrations for introductory probability and statistics. Journal of Educational and Behavioral Statistics, 25(1), 84−100.
 
19.
Ginsburg, H., & Rapoport, A. (1966). Children's estimates of proportons. Child Development, 37 (1), 157–167.
 
20.
Goldberg, S. (1966). Probability judgements by preschool children: Task conditions and preformance. Child Development, 37 (1), 157–167.
 
21.
Gürbüz, R., Catlioglu, H., Bîrgîn, O., & Erdem, E. (2010). An investigation of fifth grade students' conceptual development of probability through activity based instruction: A quasi-experimental study. Educational Sciences: Theory & Practice, 10 (2), 1053–1069.
 
22.
Hoemann, H. W., & Ross, B. M. (1971). Children's understanding of probability concepts. Child Development, 42 (1), 221−236.
 
23.
Howson, G., Kahane, J. P. (1986) School Mathematics in the 1990s (ICMI Study Series). Cambridge: Cambridge University Press.
 
24.
Mills, J. D. (2007). Teacher perceptions and attitudes about teaching statistics in P-12 education. Educational Research Quarterly, 30 (4), 16−34.
 
25.
Nilsson, P. (2007). Different ways in which students handle chance encounters in the explorative setting of a dice game. Educational Stutties in Mathematics, 66, 293-315.
 
26.
Nilsson, P. (2009) Conceptual variation and coordination in probability reasoning. Journal of Mathematical Behaviour, 28, 247-261.
 
27.
Piaget, J., & Inhelder, B. (1951). La genese de l'idee de hasard chez l'enfant. Paris: PFU.
 
28.
Polaki, M. V. (2002). Using instruction to identify key features of basotho elementary students' growth in probabilistic thinking. Mathematical Thinking and Learning, 4{4), 285- 313.
 
29.
Pratt, D. (2000). Making sense of the total of two dice. Journal for Research in Mathematics Education, 31(5), 602-625.
 
30.
Tatsis, K., Kafoussi, S., Skoumponrdi, C. (2008).Kindergarten children discussing the fairness of probabilistic games: The creation of a primary discursive community. Early Chilhood Education Journal, 36, 221-226.
 
31.
Threlfall, J. (2004). Uncertainty in mathematics teaching: the National Curriculum experiment in teaching probability to primary pupils. Cambridge Journal of Education, 34 (3), 297–314.
 
32.
Škrbec, M. (2008). Vsebine iz verjetnosti v prvem triletju osnovne šole. Magistrsko delo, Ljubljana: Univerza v Ljubljani, Pedagoška fakulteta.
 
33.
Van Dooren, W., de Bock, D., Depaepe, F., Janssens D., & Verschaffel, L. (2003). The illusion of linearity: expanding the evidence towards probabilistic reasoning. Educational Studies in Mathematics, 53 (2), 113–138.
 
34.
Yost, P. A., Siegel, A. E., & Andrews, J. M. (1962). Nonverbal probability judgements by young children. Child Development, 33 (4), 769–780.
 
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