Examining Interactions between Problem Posing and Problem Solving with Prospective Primary Teachers: A Case of Using Fractions

2017 ◽  
Vol 96 (1) ◽  
pp. 101-118 ◽  
Author(s):  
Jinxia Xie ◽  
Joanna O. Masingila
2018 ◽  
Vol 13 (1) ◽  
pp. 23-30 ◽  
Author(s):  
Mehmet Aşıkcan ◽  
Ahmet Saban

AbstractThe main purpose of this study is to determine prospective teachers’ metacognitive awareness levels of reading strategies. A quantitative surve method was used. Participants consisted of 150 prospective primary teachers and 150 prospective Turkish language teachers from Necmettin Erbakan University in Turkey. The data were collected through Metacognitive Awareness of Reading Strategies Inventory during the spring semester of the 2014–2015 academic year. Results show that prospective teachers’ global reading and problem solving strategies levels are high while their support reading strategies level is medium. Female participants’ metacognitive awareness level was found to be higher compared to males. Prospective Turkish language teachers’ problem solving strategies level is higher than that of prospective primary teachers. Prospective primary teachers preferred historical and psychological books more while prospective Turkish Language teachers favoured all types of books equally. The metacognitive awareness levels of participants reading book everyday and sometimes are significantly higher than those of reading book never.Keywords: Metacognitive awareness, reading strategies, prospective teachers.*


2018 ◽  
Vol 13 (1) ◽  
pp. 23-30 ◽  
Author(s):  
Mehmet Aşıkcan ◽  
Ahmet Saban

The main purpose of this study is to determine prospective teachers’ metacognitive awareness levels of reading strategies. A quantitative surve method was used. Participants consisted of 150 prospective primary teachers and 150 prospective Turkish language teachers from Necmettin Erbakan University in Turkey. The data were collected through Metacognitive Awareness of Reading Strategies Inventory during the spring semester of the 2014–2015 academic year. Results show that prospective teachers’ global reading and problem solving strategies levels are high while their support reading strategies level is medium. Female participants’ metacognitive awareness level was found to be higher compared to males. Prospective Turkish language teachers’ problem solving strategies level is higher than that of prospective primary teachers. Prospective primary teachers preferred historical and psychological books more while prospective Turkish Language teachers favoured all types of books equally. The metacognitive awareness levels of participants reading book everyday and sometimes are significantly higher than those of reading book never.   Keywords: Metacognitive awareness, reading strategies, prospective teachers.  


ZDM ◽  
2021 ◽  
Author(s):  
Haim Elgrably ◽  
Roza Leikin

AbstractThis study was inspired by the following question: how is mathematical creativity connected to different kinds of expertise in mathematics? Basing our work on arguments about the domain-specific nature of expertise and creativity, we looked at how participants from two groups with two different types of expertise performed in problem-posing-through-investigations (PPI) in a dynamic geometry environment (DGE). The first type of expertise—MO—involved being a candidate or a member of the Israeli International Mathematical Olympiad team. The second type—MM—was comprised of mathematics majors who excelled in university mathematics. We conducted individual interviews with eight MO participants who were asked to perform PPI in geometry, without previous experience in performing a task of this kind. Eleven MMs tackled the same PPI task during a mathematics test at the end of a 52-h course that integrated PPI. To characterize connections between creativity and expertise, we analyzed participants’ performance on the PPI tasks according to proof skills (i.e., auxiliary constructions, the complexity of posed tasks, and correctness of their proofs) and creativity components (i.e., fluency, flexibility and originality of the discovered properties). Our findings demonstrate significant differences between PPI by MO participants and by MM participants as reflected in the more creative performance and more successful proving processes demonstrated by MO participants. We argue that problem posing and problem solving are inseparable when MO experts are engaged in PPI.


2019 ◽  
Vol 34 (2) ◽  
pp. 467-473
Author(s):  
Lyubka Aleksieva

Bulgaria is now in а process of major changes and reforms in the field of education that involve the implementation of various strategies and regulations. Updating the curricula for school and preschool education has led to the development of new textbooks and teaching aids. Primary and middle school textbooks sets for all subjects were replaced with new ones complemented by their compulsory electronic versions. These e-versions are not only covering the topics and content of the printed versions of the textbooks, but include additional e-resources. Some research of the new textbooks contents has already been done by authors such as Kirova (Kirova, 2018; Kирова, 2018). She compares different components of the curriculum content and the way they are developed in the mathematics textbooks, but the components of the adjunct electronic textbooks (e-textbooks) are not yet analysed. Their examination is necessary for teachers’ practice as well as for the preparation of prospective primary teachers for using e-textbooks in the classroom. No special training for working with e-textbooks is provided in prospective teachers’ current university preparation. However, digital competence is one of the key competences which are developed in primary education programs in Faculty of Educational Studies and the Arts (FESA), Sofia University, Bulgaria. Although it is generally acknowledged that students use digital devices very often and their skills are sufficient for blended learning (Цанев, 2018), yet it is not clear if students’ digital competencies are sufficient for using e-textbooks. Furthermore, there is a gap in the literature about students’ views and attitudes towards working with e-textbooks. Along with their competencies, students’ attitudes are important for successful implementation of e-textbooks in their teaching. Therefore, Sofia University Scientific Research Fund funded project №80-10-170/2019 "Practical aspects of students-prospective primary teachers’ preparation for working with electronic resources" whose main objectives include exploration of the views, preparation and readiness of students-prospective primary teachers about the usage of e-textbooks in primary education. As a part of the project, this study analyses students’ views in terms of necessity of using e-textbooks, their benefits and the requirements that e-textbooks have to meet in order to be used effectively in primary education.Data include an online survey which was conducted during the summer term of academic year 2018-2019 and was completed by 166 students-prospective primary teachers from bachelor and master degree programs at FESA (SU), Bulgaria. The results revealed that the surveyed students generally have positive views about the usage of e-textbooks in education and are well aware of their advantages. They recognized their potential to better visualise learning content and save teachers time. The content that e-textbooks should include and the requirements that e-textbooks have to meet in order to be effectively used in the classroom are also discussed in the paper.


2021 ◽  
Author(s):  
Shiva Mafakheri

Abstract According to the curricula all over the world symmetry plays an important role in the teaching geometry at primary levels. Geometry is one of topics that have the most problematic content knowledge for the prospective primary teachers. This paper studies the understanding of the symmetry of shapes among pre-service and in-service teachers to find out their visual perception of the geometric shapes symmetry and the symmetry axis. The aim is to create a symmetrical pattern with symmetry axis of the shapes. Evidence that only content-oriented professional development coursework taken by primary school math teachers appears effective, suggests that relatively more resources ought to be put into content focused training for teachers and that changes are warranted at the elementary level and in pedagogical in-service training generally. The primary teacher needs to be able to modify some proposed problems in order to get a richer mathematical activity, being aware of their mathematical benefits. It should be part of growing the capacity of analyzing didactically the mathematics activity.


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