Students’ intuitively-based (mis)conceptions in probability and teachers’ awareness of them: the case of heuristics

2022-01-01
Erbaş, Ayhan Kürşat
Ocal, Mehmet Fatih
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
161
views
0
downloads
The purpose of this study was twofold. First, to explore middle and high school students’ intuitively-based (mis)conceptions in probability, particularly availability and representativeness heuristics. Second, to investigate teachers’ awareness of these intuitively-based (mis)conceptions and the effectiveness of their instructional practices to support students’ understanding of probability beyond heuristics. The participants were two middle school mathematics teachers, three high school mathematics teachers and their students. Data were collected through a diagnostic test administered to students as a pretest and posttest, interviews with the teachers and two students from each class and classroom observations. The findings indicated the existence of intuitively-based (mis)conceptions regarding availability and representativeness heuristics among middle and high school students. In general, the teachers did not consider the students’ intuitions and difficulties in probability in their instructions. Not only did they rarely guide students to analyze and solve the tasks coherently and deliberately, but they also did not discuss students’ intuitively-based (mis)conceptions. The results highlighted that if teachers do not attend to student thinking and change their instructional practices accordingly, their knowledge about students’ difficulties will not necessarily help students overcome their intuitions and attain a probabilistic way of thinking.
Availability heuristic, high school, in-service teachers, intuition, middle school, probability education, representativeness heuristic, SCHOOL, CONCEPTIONS, MISCONCEPTIONS, JUDGMENT, Availability heuristic, high school, in-service teachers, intuition, middle school, probability education, representativeness heuristic
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85141136765&origin=inward
https://hdl.handle.net/11511/101536
International Journal of Mathematical Education in Science and Technology
Department of Mathematics and Science Education, Article

Suggestions

Prospective teachers’ self-efficacy for preparing and implementing worthwhile mathematical tasks
Yürekli, Bilge; Işıksal Bostan, Mine; Çakıroğlu, Erdinç; Department of Elementary Education (2015)
The purpose of this study was twofold. First, the aim was to examine prospective elementary mathematics teachers’ self-efficacy for preparing and implementing worthwhile mathematical tasks throughout a mathematics teaching methods course. Then, it was sought to investigate factors with impact on prospective teachers’ self-efficacy in the context of methods course and explain how each influence operated through hypothesized sources of self-efficacy. Nine junior prospective teachers participated in this quali...
EFFECTIVENESS OF A DATA-BASED DECISION-MAKING PROFESSIONAL LEARNING COMMUNITY FOR PHYSICAL EDUCATION TEACHERS AND ITS IMPACT ON STUDENTS’ KNOWLEDGE AND PHYSICAL ACTIVITY LEVEL
Sarıkaya, Serap; İnce, Mustafa Levent; Department of Physical Education and Sports (2023-3-23)
The purpose of this study was two-fold; (1) to design a data-based decision-making professional development (DBDM-PD) program for secondary school physical education teachers and (2) to examine the effects of this program on teachers' data use and instructional practices and their students’ learning. The study includes a needs analysis on the designing of this program in the form of the professional learning community (PLC), its implementation with a theoretical framework behind the design, and an evaluatio...
Creativity in early childhood teacher education: beliefs and practices
Ata-Akturk, Aysun; Sevimli Çelik, Serap (Informa UK Limited, 2020-01-01)
The aim of this study was twofold: (a) To carry out an in-depth investigation of pre-service teachers (PTs) beliefs regarding creativity and the perceived barriers of creative processes within early childhood education, and (b) To examine the extent to which PTs reflect their creativity within their pedagogical practices. The participants (n = 45) were university seniors attending an early childhood education programme. The study results demonstrated a lack of knowledge and experience regarding creativity i...
Investigation of middle school mathematics teacher emotions and their students’ mathematics achievement emotions: a mixed-methods study
Çalık, Başak; Çapa Aydın, Yeşim; Department of Curriculum and Instruction (2021-1-01)
The purpose of the study was three-fold. First, the study aimed to investigate the relationship between mathematics teachers’ emotions, self-efficacy, and burnout. Second, it was aimed to examine the relationship between mathematics teachers’ emotions and their students’ mathematics self-efficacy, perceived teaching quality, perceived teacher affective support, and mathematics achievement emotions. Third, the reasons for and relevant processes behind students’ emotions were uncovered by considering the lear...
No muddy shoes, no dirty clothes! examining the views of teachers and parents regarding children's outdoor play and learning
Kandemir, Melike; Sevimli Çelik, Serap (2021-12-01)
The aim of this study was twofold: (a) to carry out an in-depth investigation of teachers and parental views regarding outdoor play and learning, and (b) to examine the extent to which the objectives and goals related to outdoor play and learning were documented within the school curriculum. The data were collected qualitatively from 12 teachers and 35 parents whose children were enrolled in one school. Data collection occurred through observations, semi-structured interviews, and document analysis. It was ...
Citation Formats
A. K. Erbaş and M. F. Ocal, “Students’ intuitively-based (mis)conceptions in probability and teachers’ awareness of them: the case of heuristics,” International Journal of Mathematical Education in Science and Technology, pp. 0–0, 2022, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85141136765&origin=inward.
METU IIS - Integrated Information Service open@metu.edu.tr