Professional teaching competence is significantly influenced by beliefs about teaching and learning. Prospective teachers start their teacher training with quite persistent beliefs about learning processes. These beliefs are mainly influenced by the way they experienced their own lessons as a student at school. Previous biology lessons at school might be linked to the imagined biology lessons of prospective teachers. We interpret these future lessons as a representation of their beliefs about teaching and learning. The present study investigated how prospective teachers remembered their previous biology lessons as well as how they imagine the lessons they will conduct in the future. The drawings of 181 prospective biology teachers in Germany (Mage = 22.1; SD = 3.6; 64.1 % female) were analyzed using the Draw-a-Science-Teacher-Test Checklist (DASTT-C). Results of the study indicate that the lessons they experienced were mainly teacher-centered, whereas the lessons they imagined were mainly student-centered. Results of a chi-square-test indicate that there is no connection between these two drawings of biology lessons. This suggests that experiences from one’s own schooling may have no connection with the way prospective teachers would like to teach in the future. The results of this study might be used as a basis for further studies examining the development of prospective biology teachers’ beliefs about teaching and learning.

This study investigated the influences of social constructivist approaches on history teachers' opinions of social science education. The purpose of the study was to examine the effectiveness of social constructivist approaches and explore the views and practices of teachers in their current use of teaching approaches in social science education. For this study, a qualitative study approach was employed. The study was conducted at intermediate secondary schools in the city of Erbil. For open semi-structured interviews, eight teachers of social science education were purposely selected from eight intermediate secondary schools of grade ninth, and eight social science classes were observed. The results revealed that despite significant changes of the system of education, many challenges were identified in implementing social constructivist approaches in social science education such as the environment of fear, the shortage of proper public infrastructure, lack of care, and resources. Also, the study revealed several barriers like absence of sufficient well-designed teaching guidelines, lack of adequate clear instructions, inadequacy classroom teachers' autonomy, and no freedom. Lastly, the study ends up by specifying several conclusions.

Numerical thinking is needed to recognize, interpret, determine patterns, and solve problems that contain the context of life. Self-efficacy is one aspect that supports the numerical thinking process. This study aims to obtain a numerical thinking profile of Mathematics pre-service teachers based on self-efficacy. This study used descriptive qualitative method. The data obtained were based on the results of questionnaires, tests, and interviews. The results of the self-efficacy questionnaire were analyzed and categorized (high, moderate, and low). Two informants took each category. The results showed the following: informants in the high self-efficacy category tend to be able to interpret information, communicate information, and solve problems with systematic steps. Informants in the moderate self-efficacy category tend to be able to interpret and communicate information, but tend to be hesitant in choosing the sequence of problem-solving steps. Meanwhile, informants in the low self-efficacy category tend not to be able to fully interpret the information. As a result, the process of communicating information and solving problems goes wrong. Another aspect found in this study is the need for experience optimization, a good understanding of mathematical content, and reasoning in the numerical thinking process.

This study examined the relationship between Japanese language (JL) anxiety, beliefs about JL learning, and the amount of JL used in JL classes. The participants in this study were 670 undergraduate students studying JL at the Institute of Technology in Bangkok, Thailand, as compulsory subjects. A questionnaire survey was conducted, and a stepwise multiple regression analysis found that the amount of JL used by learners had a negative relationship with JL anxiety and a positive relationship with beliefs about JL learning and the amount of JL used by both native Thai and Japanese teachers. In addition, JL anxiety interacted with the amount of JL used by native Japanese teachers and beliefs about JL learning. JL teachers, especially native Japanese teachers, should attempt to reduce their learners' JL anxiety in order to maximize the effect of teachers’ JL use and learners’ beliefs and to support them in using JL more in classes.

Visual representations and the process of visualisation have an important role in geometry learning. The optimal use of visual representations in complex multimedia environments has been an important research topic since the end of the last century. For the purpose of the study presented in this paper, we designed a model of learning geometry with the use of digital learning resources like dynamic geometry programmes and applets, which foster visualisation. Students explore geometric concepts through the manipulation of interactive virtual representations. This study aims to explore whether learning of geometry with digital resources is reflected in higher student achievements in solving geometric problems. This study also aims to explore the role of graphical representations (GRs) in solving geometric problems. The results of the survey show a positive impact of the model of teaching on student achievement. In the post-test, students in the experimental group (EG) performed significantly better than students in the control group (CG) in the overall number of points, in solving tasks without GR, in calculating the area and the perimeter of triangles and quadrilaterals than the CG students, in all cases with small size effect. The authors therefore argue for the use of digital technologies and resources in geometry learning, because interactive manipulatives support the transition between representations at the concrete, pictorial and symbolic (abstract) levels and are therefore important for understanding mathematical concepts, as well as for exploring relationships, making precise graphical representations (GRs), formulating and proving assumptions, and applying different problem-solving strategies.

This study was conducted following the initial stage of the transition to distance education necessitated by the onset of the COVID-19 pandemic and meeting the various challenges that came with it. At this point, countries and teachers have gained experience in preparing and delivering online education. Therefore, the study aimed to identify the beliefs of primary school mathematics teachers about teaching in synchronous virtual classrooms. It adopted a mixed methods approach, following a convergent parallel design. The overall study sample comprised 410 male and female teachers. A questionnaire was used to collect quantitative data across three dimensions (teaching efficiency, employing the philosophy of active learning, mathematical achievement). There were 31 items (verified for validity and reliability) comprising statements measured using a five-point Likert scale, together with open-ended options for further elaboration. In total, 130 teachers completed the questionnaire. Interviews were conducted with 10 teachers to collect qualitative data. The results show means in the range 3–5.75 for agreement with statements concerning the beliefs of mathematics teachers about teaching in virtual classrooms in the following order of importance: teaching competence; mathematical achievement; employing the philosophy of active learning. The study also found no statistically significant differences attributable to the variables of gender, qualification, or teaching experience, and also that many factors are considered to affect teaching in synchronous virtual classrooms related to the teacher, the family, and the student.

Systemic thinking skills are an increasingly important aspect of contemporary life for all students. Therefore, the first aim of the present study was to investigate the relationship between systemic thinking skills, epistemological beliefs, and mathematical beliefs in a sample of 120 secondary school students aged 16-18 years in Saudi Arabia. The second objective was to examine gender differences in these three variables. Participants answered scales measuring the Systemic Thinking Inventory (STI) and the Mathematical Beliefs Scale (MBS) created by the researcher. Additionally, participants answered the Epistemic Belief Inventory (EBI). Results showed a positive correlation between systemic thinking skills, epistemological beliefs, and mathematical beliefs. In addition, significant differences were found in favor of men on the systemic thinking skills on the holistic vision of the system and systemic synthesis skills subscales and females on the systemic analysis subscale. Significant differences were found in epistemological beliefs. A particular difference was innate knowledge and omniscient authority in favor of males, simple knowledge, certain knowledge, and rapid learning in favor of females. In addition, differences were found for mathematics teacher competence and self-efficacy beliefs in favor of males and the usefulness of learning mathematics, difficulty in mathematics, and enjoyment of mathematics in favor of females. The results are discussed in light of the relevant literature, and suggestions are made.