
06082417
j
2012e.00348
Cazorla, Irene Mauricio
Gusm\~ao, T\^ania Cristina
Kataoka, Ver\^onica Yumi
Validation of a probability didactic sequence based on teachers' practice and under the ontosemiotic approach. (Valida\c c\~ao de uma sequ\^encia did\'atica de probabilidade a partir da an\'alise da pr\'atica de professores, sob a \'otica do enfoque ontossemi\'otico.)
Bolema 24, No. 39, 537560 (2011).
2011
Universidade Estadual Paulista de Mesquita Filho, UNESP, Rio Claro
PT
D30
K50
probability teaching
didactic sequence
ontosemiotic approach
basic education
Summary: This study analyses the validity of the didactic sequence ``Monica's random walks" designed to teach the concepts of probability at the elementary education level, based on teachers' practice, evaluating its relevance when implemented in the classroom. The ontosemiotic approach was used, which allows the study of types of mathematical objects (language, situations, concepts, procedures, properties and arguments) and possible semiotic conflicts that may affect the understanding and meaning of the concepts involved in the sequence. The methodological approach used was action research with the participation of 28 teachers. Lessons were observed and written protocols collected. Analysis of the results revealed the feasibility of the sequence, as the subjects were able to observe, through random experimentation, that the relative frequency is an estimate of the theoretical probability. Comparison of the graphs, on transparencies, allowed the teachers to note the existence of a common pattern that approximates the theoretical probability, allowing an evolution and appropriation of the probability concept. The use of the ontosemiotic technique reveals considerable results for the proposal, as it provides a more careful and detailed look at the object involved in the mathematic activity, leading to an evaluation of the sequence aiming at improved planning, design and efficiency in its use.