Affiliation:
1. Muş Alparslan Üniversitesi, Turkey
2. Hatay Mustafa Kemal University, Turkey
Abstract
Identifying the mistakes in student responses and being able to manage the solution process are among the fundamental skills that should be acquired by the pre-service teachers. This skill is important in probability, about which students have a great number of misconceptions. The aim of this study was to determine the misconceptions in the student answers given by the researcher about probability and to examine the solution explanations of the preservice teachers. In this context, the student answers containing five wrong solutions were examined. Case study, one of the qualitative research methods, was used. Forty-two third grade preservice mathematics teachers participated in the study. A task-based interview was used in the study. The findings revealed that the participants were able to recognize simple and discrete probability problems more easily and provided correct solutions; however, they had difficulty in determining the universal space independent events and failed to detect the mistakes in the student answers successfully. As a result of the research, it was concluded that the importance attached to procedural knowledge should also be given to conceptual knowledge, what a concept means as well as what it does not mean should be explained, open-ended questions that will increase the power of reasoning should be used instead of typical problems, and more effective learning should be carried out by using different teaching methods and techniques.
Subject
General Social Sciences,General Arts and Humanities
Reference125 articles.
1. Attitudes Toward Mathematics
2. Akkaya R. (2010). Olasılık ve istatistik Öğrenme Alanındaki Kavramların Gerçekçi Matematik Eğitim ve Yapılandırmacılık Kuramına Göre Bilgi Oluşturma Sürecinin incelenmesi. [The investigation of knowledge construction process of concepts in probability and statistical learning field according to the realistic mathematic education and constructivism theory] [Unpublished PhD thesis]. Uludağ University.
3. Cultural Influences on Children's Probabilistic Thinking
4. Arı E. (2010). İlköğretim 6-7 ve 8. sınıflarda matematik dersinin istatistik ve olasılık konusunun öğreniminde yaşanan problemler ve çözüm önerileri [Problems and solution proposals in the teaching of statistics and probability in the 6th, 7th, and 8th grades of elementary education] [Unpublished master thesis]. Afyon Kocatepe University.
5. Diagnosing Preservice Teachers’ Understanding of Statistics and Probability: Developing a Test for Cognitive Assessment