TY - GEN
T1 - Making connections between the sample space and the probability of an event
AU - Prodromou, Theodosia
PY - 2011
Y1 - 2011
N2 - In this paper, I explore students' emerging thinking about "sample space" and "probability of an event" through an observation of 9- to 10-year-olds, challenged to reason about conditional probability in both "with" and "without" replacement situations. This study used a cognitive framework that captures the nature of students' probabilistic reasoning across four levels (subjective, transitional, informal quantitative, numerical) in relation to conditional probability tasks. The results show shifts in the structural complexity of students' thinking across the first three levels. However, none of the students reached level 4.
AB - In this paper, I explore students' emerging thinking about "sample space" and "probability of an event" through an observation of 9- to 10-year-olds, challenged to reason about conditional probability in both "with" and "without" replacement situations. This study used a cognitive framework that captures the nature of students' probabilistic reasoning across four levels (subjective, transitional, informal quantitative, numerical) in relation to conditional probability tasks. The results show shifts in the structural complexity of students' thinking across the first three levels. However, none of the students reached level 4.
KW - Education
UR - http://trove.nla.gov.au/work/160163805
M3 - Conference contribution
SN - 9789754292626
VL - 3. Research reports, H-P
T3 - PME Conference Proceedings
SP - 401
EP - 408
BT - Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education: Developing Mathematical Thinking
A2 - Ubuz, Behiye
PB - International Group for the Psychology of Mathematics Education (IGPME)
CY - Ankara, Turkey
T2 - PME 35: 35th Annual Conference of the International Group for the Psychology of Mathematics Education
Y2 - 10 July 2011 through 15 July 2011
ER -