The state of mathematical thinking is considered to have an effect on the formation of anxiety regarding teaching mathematics. It is hypothesized that with the formation of mathematical thinking, the anxiety in teachers regarding teaching mathematics will be reduced. Since mathematical thinking is a skill acquired starting from the early years of education, the anxiety in form teachers in primary school regarding teaching mathematics is important. Within this context, the objective of this study is to investigate the effect of mathematical thinking states of form teachers on their anxieties regarding mathematics teaching. The sample group comprises 194 form teachers working in state schools of Bagcilar district, Istanbul province in the spring term of 2015-2016 academic year. As data collection tools, mathematical thinking scale and anxiety scale for the mathematics teaching anxiety of form teachers were used. To test the predictive power of mathematical thinking regarding the mathematics teaching anxiety, Multiple Linear Regression Analysis was used. It was found that the form teachers had high mathematical thinking scores and had low anxiety scores. A low degree, negative and significant correlation was found between the mathematical thinking and anxiety of form teachers regarding mathematics teaching. Moreover, it was found that mathematical thinking had an effect on the anxiety in form teachers regarding mathematics teaching.

This study was conducted within the scope of the General Biology Laboratory II course, which was taught in the Science Teaching Department in the Spring semester of the 2016-2017 academic year. The study group consisted of 40 teacher candidates in their second year in the Science Teaching Department at a state university in Konya. The purpose of the study, in which case study design was used, was to determine the views of teacher candidates concerning the V diagrams used in the General Biology Laboratory II course. To this end, experiments were conducted for a period of 10 weeks and reports for the experiments were formed by the teacher candidates in the form of V diagrams. The views of the teacher candidates regarding V diagrams were collected through open-ended questions and analyzed via content analysis.

The Teacher Efficacy for Inclusive Practice (TEIP) scale is an instrument created by Sharma et al. to assess efficacy of instruction in inclusive settings. Despite its increase in use, the TEIP has not been validated with a Spanish teacher population. The aim of this study was to: (1) analyze the psychometric properties and factor structure of the TEIP scale in a sample of Spanish preservice teachers (N = 475; 80% female, 20% male), and (2) examine the level of self-efficacy for inclusive practices that teachers experience when they graduate from their training programs. Exploratory and confirmatory factor analyses indicate that a Spanish version (TEIP-ES) consisting of 15 items with a three-factor construct explains 61.34 percent of total variance. Item total-correlations ranged from .488 to .778, and factor loadings from .590 to .790. Convergent validity with measures of quality of teacher education (TE) programs and self-report of preparedness to teach in inclusive settings was good. In contrast, self-efficacy for inclusive practices was rated moderately low. Overall, these findings support the construct and convergent validity of the TEIP-ES and suggest that it is a useful instrument to measure self-efficacy for inclusion in Spanish preservice teacher populations. This manuscript reports the findings, discusses the implications for the improvement of TE programs, and suggests possible avenues for future related research.

Transcript Based Lesson Analysis (TBLA) is a transcript-based learning analysis method developed at Nagoya University, Japan. This new method is believed to justify the success of instructional design planned by the teacher. So far, the success of learning design has been reflected in student learning outcomes, even though the learning outcome data are not sufficient to provide an overview of the actual classroom conditions. This study aims to analyse the communication patterns in learning Chemistry using the TBLA method. This research is a descriptive qualitative study that analysed the lesson of Chemical Bonds and Carbon Atoms Characteristics, which were conducted in two Senior High Schools in South Kalimantan, Indonesia. The data were collected using observation and documentation study. The lessons recorded using cameras and camcorders devices were transcribed and analysed using the Excel program based on the number of words spoken by teachers and students and the frequency of keywords in learning chemistry. The data were transformed into graphs. The results showed that analysis using TBLA provided integrated information about communication patterns and classroom quality. In these two classes, communication pattern occurs in Chemistry learning was teacher-student interaction only. The multi-ways transactions pattern has not occurred. The low quality of teacher questions and the incomplete deep learning phase in learning chemistry caused the expected multi-directional transaction communication has not been conducted. The result implies that TBLA is an effective tool to reflect on teacher practices and improve their teaching process for better instructional practices.

The increase of English language learners (ELLs) in the United States of America (USA) public school classrooms and the diversification of the global education landscape urges initial teacher preparation programs to equip mainstream teachers with appropriate skills, knowledge, and dispositions to teach ELLs. This paper reports findings from a focus group study on elementary teacher candidates' (TCs') field experiences with ELLs. Based on interviews with four groups of TCs who completed their two practicums with ELLs, the study illustrates how mainstream TCs perceive their field experiences as future teachers of ELLs. The findings suggest that TCs recognize dissonances and develop care toward ELLs through their engagements in ELL-specific field experiences. The study also demonstrates how the recognition of dissonances led to changes in TCs' beliefs and values, which was observed through their imagination. Informed by their field experiences with ELLs, TCs began forming professional agency as future teachers by imagining specific teaching strategies, methods, and approaches they would like to implement with ELLs. Implications and future directions of teacher education programs are also discussed.

Recent changes due to the COVID-19 pandemic have forced higher education institutions worldwide to transition to online courses. The challenges that the pandemic poses for microteaching are very significant, as it is highly application-based and complicates online implementation. The current study aims to examine prospective teachers' experiences with online microteaching. The participants (N = 21) were Greek university undergraduate students. Specifically, their experiences with online microteaching were examined through reflective texts and follow-up interviews. Data were analyzed based on a mixed-methods approach (quantitative and qualitative) by two independent reviewers. The findings showed that the main advantage of the specific process is the collaboration with fellow students, while the main challenges concern technical difficulties and anxiety. Qualitative analysis revealed that anxiety overlapped with collaboration, while more detailed aspects of the process (e.g., video rehearsals and retakes) provided a unique framework.

Mathematics teachers’ instructional strategies lack in-depth knowledge of algebraic systems and hold misconceptions about solving two algebraic equations simultaneously. This study aimed to gain an in-depth analysis of teachers’ knowledge and perceptions about the promotion of conceptual learning and effective teaching of algebraic equations. The main question was, ‘How do junior secondary school mathematics teachers manifest their pedagogical practices when teaching algebraic equations? This article reports on a qualitative, underpinned by the knowledge quartet model study, that sought to explore how junior secondary school teachers’ pedagogical practices manifested in the teaching of algebraic equations. Data were collected from observations, semi-structured interviews, and document analysis of two mathematics teachers purposely selected from two schools. The collected data were analysed using a statistical analysis software called Atlas-ti. (Version 8) and triangulated through thematic analysis. The study revealed that teachers’ choices of representations, examples, and tasks used did not expose learners to hands-on activities that promote understanding and making connections from the underlying algebraic equation concepts. The study proposed Penta-Knowledge Collaborative Planning and Reflective Teaching and Learning Models to enable teachers to collaborate with their peers from the planning stage to lesson delivery reflecting on good practices and strategies for teaching algebraic equations.

This study investigated pre-service biology teachers' (PSBTs’) technological pedagogical content knowledge (TPACK) development. A TPACK-based technology integration course (TPACK-BTIC) was implemented. The study employed a convergent parallel mixed-methods approach. A TPACK survey questionnaire and interview schedule were used to collect data from 50 PSBTs. The quantitative data were analysed by computing means, standard deviations, and dependent samples t-tests, while qualitative data were analysed using deductive thematic analysis based on the TPACK domains. Findings indicate that the intervention positively affected PSBTs’ TPACK development with significant improvements in technological knowledge (TK), technological pedagogical knowledge (TPK), technological content knowledge (TCK) and overall technological pedagogical content knowledge domains. In contrast, pedagogical content knowledge (PCK) and pedagogical knowledge domains showed no statistically significant improvements. PSBTs’ engagement in microteaching lesson study, reflection on using technology, and collaboratively designing lesson plans improved PSBTs’ TPACK domains. The study recommends that teacher training institutions consider implementing content-based technology integration courses that engage pre-service teachers in microteaching lesson study, reflecting on technology use and collaborative designing of curriculum materials that involve using technology to support their TPACK development.

Understanding graphs in the dynamics of market (DM) is a challenge to learners; its teaching demands a specific kind of teacher’s knowledge. This study aims to examine the topic-specific pedagogical content knowledge (TSPCK) of experienced economics teachers in teaching graphs in DM to enhance learners’ understanding of the topic. It reports using a qualitative approach underpinned by the TSPCK framework for teaching specific topics developed by Mavhunga. Data were collected through classroom observations and analyzed thematically using a case study of two economics teachers. The study revealed that adopting a step-by-step approach and the use of worked graphical examples promote an understanding of graphs in DM. It also established that active learning is preferable to the predominant chalk-and-talk (lecture) method of teaching graphs in DM. The study proposed a Dynamics of Market Graphical Framework (DMG-Framework) to enable teachers, particularly pre-service teachers in lesson delivery, to enhance learners’ understanding of graphs in DM. The result of this study will broaden the international view in the teaching of graphs in DM.

<p style="text-align:justify">This study aimed to assess the geometric knowledge of student teachers from a university in the Eastern Cape province of South Africa. The study used a sample of 225 first-year student teachers who completed school mathematics baseline assessments on a computer- aided mathematics instruction (CAMI) software. The study adopted a descriptive cross-sectional research design, using quantitative data to measure student teachers&rsquo; geometry achievement level, and qualitative data to explain the challenges encountered. The results show that student teachers exhibited a low level of understanding of school-level geometry. The low achievement levels were linked to various factors, such as insufficient grasp of geometry concepts in their secondary school education, difficulty in remembering what was done years ago, low self-confidence, and lack of Information and Communications Technology (ICT) skills along with the limited time for the baseline tests. These results suggest that appropriate measures should be taken to ensure that student teachers acquire the necessary subject-matter knowledge to teach effectively in their future classrooms.</p>