Preservice mathematics teachers' conceptions of mathematically rich and contextually realistic problems

This study investigated the middle school preservice mathematics teachers' conceptualization of what it means for a problem to be mathematically rich and contextually realistic and how their conceptions evolved during a series of professional development activities. Fifteen middle school preservice mathematics teachers were involved in this design-based research. The professional development activities were designed based on L. Shulman and J. Shulman's (Shulman and Shulman, Journal of Curriculum Studies 36:257-271, 2004) reflective and communal clusters with psychological roots in Schon's notion of "reflective practitioners" and Vygotsky's social development theory. These professional development activities were integrated into the methods and field experience courses of the teacher education program. The audio records of the whole group and small group discussions and all written products (i.e., problems, criteria list, and reflection memos) were analyzed to understand preservice teachers' conceptions. This study revealed that the professional development activities helped preservice teachers produce the problems that would be interesting and encouraging for students to develop their own solution methods. Preservice teachers' conceptions also evolved in a collective and reflective community. In this respect, this study presented a way to design professional development for teachers that nurtures their understanding of the components supporting mathematical richness and contextual meaningfulness of a problem. Hence, this study provided implications for teacher education practices and future research on mathematics teacher preparation.


Işıksal Bostan, Mine; Çakıroğlu, Erdinç (2008-01-01)
The purpose of this study was to examine preservice mathematics teachers' knowledge about common (mis)conceptions and difficulties of elementary students. In addition, it Was aimed to investigate preservice teachers' knowledge about the possible sources of these misconception/difficulties, and their suggested strategies to overcome those difficulties. Data was collected from senior preservice elementary mathematics teachers enrolled in a teacher education program at a public university at the end of the spr...
Pre-service elementary mathematics teachers’ ways of thinking about rate of change in the context of a modeling activity
Kertil, Mahmut; Erbaş, Ayhan Kürşat; Çetinkaya, Bülent (2017-01-01)
As a part of a larger study aiming at developing pre-service teachers’ pedagogical knowledge about mathematical modeling, this study investigates pre-service elementary mathematics teachers’ ways of thinking regarding rate of change in the context of a modeling task on population growth. The participants of the study were 9 prospective middle school mathematics teachers in their senior year attending a public university. The study was conducted as a part of an undergraduate course on mathematical modeling f...
Preservice Middle School Mathematics Teachers’ Understanding of Triangle Inequality through Collective Argumentation
UYGUN, TUĞBA; Akyüz, Didem (2019-05-01)
The purpose of the present study was to examine how preservice middle school mathematics teachers develop the understanding and reasoning of triangle inequality through collective argumentation. Data collection process was based on whole class and peer group discussions and written documents. The data including the transcriptions of the discussion processes with the written documents were analyzed by using Toulmin’s model of argumentation. Through this collective argumentation process, they attained the kno...
Preservice Elementary Teachers' Attitudes and Self-efficacy Beliefs toward Mathematics
Çakıroğlu, Erdinç; Işıksal Bostan, Mine (2009-01-01)
The purpose of this study was to explore the effect of gender and grade level on preservice teachers' self-efficacy beliefs and attitudes toward mathematics. The analysis was based on 358 elementary and middle school mathematics teachers enrolled in an undergraduate program at two public universities in Ankara. Results showed that there was no significant effect of gender and grade level of preservice teachers on their attitudes toward mathematics. On the other hand, results also revealed that there was fou...
Pre-service Teachers' Developing Conceptions about the Nature and Pedagogy of Mathematical Modeling in the Context of a Mathematical Modeling Course
Çetinkaya, Bülent; Erbaş, Ayhan Kürşat; Alacacı, Cengiz; Çakıroğlu, Erdinç (2016-01-01)
Adopting a multitiered design-based research perspective, this study examines pre-service secondary mathematics teachers' developing conceptions about (a) the nature of mathematical modeling in simulations of real life problem solving, and (b) pedagogical principles and strategies needed to teach mathematics through modeling. Unlike other studies that have focused on single-topic and lesson-sized research sites, a course-sized research site was used in this study. Having been through several iterations over...
Citation Formats
Ş. Sevinç, “Preservice mathematics teachers’ conceptions of mathematically rich and contextually realistic problems,” JOURNAL OF MATHEMATICS TEACHER EDUCATION, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: