Mathematics teacher candidates' mathematical achievement scores on symmetry, visual mathematics literacy status and cognitive styles were investigated for possible relations, the misconceptions of concept and challenges on symmetry, qualities of prospective teachers to reveal the relationship, if exist. Correlational model was used as research design. Sample consisted 80 math teacher candidates who are studying in the 4th class in a state university in Istanbul and chosen by convenience sampling, where the researcher has identified the convenient group for study. Teacher candidates were tested with the GEFT (Confidential Shapes Group Test) and visual math literacy tests. Mathematical success is measured by the mathematics success test prepared by the researchers. Symmetry is not examined in the literature and it has more visual content than other subjects and plays important role in the development of geometric thinking and spatial orientation of the students. Among the reasons why the teachers don't give importance to this subject, that they don't have competence on symmetry. No significant relation between these three variables are found. They have some misconceptions as on finding the symmetry axis and on symmetry definitions. Some measures can be taken for field dependent students on symmetry as well.

A rhombicosidodecahedron (an Archimedean solid with 30 square, 20 triangles, and 12 pentagon faces) was redeemed from 60 pieces by modular origami. This study used a qualitative research case study as it asked about how participants experienced this construction process of rhombicosidodecahedron. Preservice primary mathematics teachers from a mathematics and art course were participants of the study.  Additionally, one student; the first student who came out with the totally symmetric and no damaged object was interviewed for the assembly process. Mathematical thinking throughout the process was noted. Student brought her/his previous experiences as much as specific aptıtudes. Student took this project as a creative writing piece so that the process gone through similar phases as intro, progress, and artifact. Deformations and sinking occurred but student investigated the specifics of the real mathematical object did it without a fault. To deal with problems occurred in the phases; students used a creative insight as using paperclips to attach modules and assembly of half spheres. Two main processes; organizational and structural took place in the creative model formation and assembly. Suggestions and future studies are also discussed.

Bu çalışmanın amacı, Covid-19 pandemi döneminde üniversitelerde uzaktan eğitimle gerçekleştirilen matematik eğitimi sürecine ilişkin öğretmen adaylarının ve öğretim elemanlarının değerlendirmelerini incelemektir. Çalışma, nitel araştırma yöntemlerinden olgubilim (fenomenoloji) desenine göre tasarlanmış olup veriler görüşme ve anket teknikleriyle toplanmıştır. Bu doğrultuda veriler, yarı yapılandırılmış görüşme formu ve yarı yapılandırılmış anket formu kullanılarak 112 matematik öğretmen adayından ve dört öğretim elemanından elde edilmiştir. Elde edilen veriler betimsel analiz tekniği ile çözümlenmiştir. Çalışma grubu sürecin derslerin planlanması, yürütülmesi ve ölçme-değerlendirmesi bağlamında hem olumlu yönlerini ve hem de sürecin eksikliklerini dile getirmiştir. Buna göre, uzaktan eğitim sürecinin derse hazırlığının çok iyi yapılması ve gerekli donanımın (teknik altyapı, teçhizat, ders materyalleri vs.) sağlanması durumunda yüz yüze eğitim kalitesine yaklaşabileceği, fakat yine de yüz yüze eğitimin yerini tutamayacağı görüşünün hâkim olduğu sonucuna varılmıştır.

We aim to examine the pre-service mathematics teachers' mathematical problem-solving processes by using dynamic geometry software and to determine their evaluations based on experiences in this process. The design is document analysis, one of the qualitative research approaches. In the fall semester of the 2019–2020 academic year, a three-problem task was carried out in a classroom environment where everyone could use geogebra individually. A total of 65 pre-service mathematics teachers enrolled in the course of educational technology. This task includes questions that they would use, their knowledge of basic geometric concepts to construct geometrical relations and evaluations related to this process. Besides the activity papers of the prospective teachers, geogebra files were also examined. The result is pre-service mathematics teachers who are thought to have a certain level of mathematical background are found to have incorrect/incomplete information even in the most basic geometric concepts and difficulties with regard to generalisation. Keywords: Dynamic geometry, geogebra, instructional technologies, mathematical thinking, teacher education.

Multiple representations are beneficial for meaningful understanding. However, three or more representations may add to the cognitive overload of students, if not in interactive diagrams and dynamic geometry. How a well-known representation consisting of more than 3 or more representational registers may overcome the problem of cognitive overload without being too complicated. In this study, an old but well-structured representation that was used even over 40 years was analyzed. The critical points of a function, asymptotes, x / y-intercepts, inflection points, and graphing can be identified easily. It is prepared in the form of a table and the factors of the first derivative of the function and the second derivative and their roots indicate the function’s increasing and decreasing intervals and its graph. This representation is very systematic and it acts like a method to draw the function’s graph with no-fault possible. Yet, besides being used for many years, is still used for courses like Calculus, etc. We argue that cognitive overload theory cannot alter this representation due to its systematic nature. In content analysis, some examples of this representation are shared via the reader, and some qualitative aspects about it are analyzed. Finally, its systematicity, well-structured nature, and nature in reducing extraneous cognitive load are emphasized. The important thing here is that it is very strategic not to lose some representations for the sake of new ones if their value is already known but not discussed too much.