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.

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 research is a developmental research aiming at developing a good mathematical test instrument using polytomous responses based on classical and modern theories. This research design uses the Plomp model, which consists of five stages, (1) preliminary investigation, (2) design, (3) realization/construction, (4) revision, and (5) implementation (testing). The study was conducted in three vocational schools in Lampung Province, Indonesia. The study involved 413 students, consisting of 191 male and 222 female students. The data were collected through questionnaire and test. The questionnaire was used to identify the assessment instruments currently employed by teachers and to be validated by the experts of mathematics and educational evaluation. The test used an open polytomous response test numbering of 40 items. The data were analyzed using both classical and modern theories. The results show that (1) the open polytomous response test has a good category according to classical and modern theory. However, the discrimination power of test items in classical theory needs several revisions, (2) the assessment instrument using the polytomous response of open multiple choice can guarantee information on the actual competence of students. This is proven by the fact that there is a harmony between the analysis result obtained from classical and modern theory from the students' arguments when giving reasons for their choices. Therefore, the open polytomous response test can be used as an alternative to learning assessment.

Prospective teachers facing the 21st century are expected to have the ability to solve problems with a computer mindset. Problems in learning mathematics also require the concept of computational thinking (CT). However, many still find it challenging to solve this problem. The subjects in this study were twenty-one prospective mathematics teachers who took number theory courses, and then two research samples were selected using the purposive sampling technique. This study uses a qualitative descriptive method to describe the thinking process of prospective teachers in solving Diophantine linear equation problems. The results showed that the first subject's thought process was started by turning the problem into a mathematical symbol, looking for the Largest Common Factor (LCF) with the Euclidean algorithm, decomposition process, and evaluation. The second subject does not turn the problem into symbols and does not step back in the algorithm. The researcher found that teacher candidates who found solutions correctly in their thinking process solved mathematical problem used CT components, including reflective abstraction thinking, algorithmic thinking, decomposition, and evaluation. Further research is needed to develop the CT components from the findings of this study on other materials through learning with a CT approach.

Competent instructors need to have the skills, abilities, and competencies to perform tasks effectively, which will affect student learning achievement. This study is guided by the theory of Boyatzis developed by Spencer and Spencer. The Iceberg Competency Model was used as a guideline to identify the competency elements of educators from the agricultural stream in vocational colleges (KV). This research study aims to explore and identify the existing competency elements of agricultural educators in KV. This study used a study population comprising 243 respondents of agricultural educators in KV. To answer the research question, the data analysis was done by Partial Least Squares - Structural Equation Modeling (PLS-SEM). This study is a study built to observe the relationship between the latent constructs studied. These constructs consisted of exogenous and endogenous constructs. In this study, exogenous constructs comprised value constructs, social roles, self-image, motives, traits and constraints. At the same time, endogenous constructs involved constructs of skills and knowledge. To ensure that the construct of this study gives meaning to the reflective measurement model, it was evaluated based on internal consistency reliability and validity. Regarding the framework, some indicators that did not qualify were dropped based on factor loading and average variance extracted (AVE). From the analysis conducted, 16 indicators were dropped since they did not meet PLS-SEM requirements. The total number of items retained was 71 indicators. At the final stage of this study, the evaluation model was implemented to form a framework involving the evaluation of the constructs linked to each other.

Geometric thinking affects success in learning geometry. Geometry is studied from elementary school to university level. Therefore, in higher education and basic education, it is necessary to carry out a systematic review in order to obtain tips for improving geometric thinking skills. A systematic review of geometric thinking was done in this study. In this study from 2017 to 2021, geometric thinking was investigated in the form of a synthesis review of the effect size of the given treatment. This is a comprehensive discussion of theories, models, and frameworks on the topic of geometric thinking from 36 articles. The research findings revealed that the interventions used were predominantly effective, with effect sizes ranging from "small" to "very large," with the "very large" effect obtained in the intervention of van Hiele's learning phase and various technology-based-media and concrete manipulative media. The research trend was reflected through twelve clusters of interrelated keywords. The results of this literature review suggested that it is necessary to carry out a specific study on how to achieve the highest level of geometric thinking, a more detailed form of scaffolding, and concrete manipulative media and technology that can be explored for a certain level of the participants’ geometric thinking.

This study focuses on online supervisory written feedback on PhD supervisees’ performance, given explicitly through online communication, particularly during the first wave of COVID-19. This unusual situation has brought many different effects on students’ academic lives. This scenario has influenced both students’ and teachers’ mutual communication. A directed qualitative content analysis (DQCA) approach was adapted from previous research and modified for the present context. The current study planned to bring forth the supervisee and supervisors’ perception of the communication and feedback process, considering that online feedback and communication has been a new experience for most students. According to the findings, teachers/supervisors give feedback on students’ production, whereas teacher-student communication also seemed crucial for the performance improvising of learners. The result brought forth a wide range of social, educational, and surprisingly psychological issues both supervisees and supervisors faced during online communication during COVID-19.

The article discusses the topical issue of a model of digital competencies for a future teacher. The analysis of the composition and structure of the most relevant models of digital competencies of a citizen and a modern teacher is carried out. In addition, the article reveals approaches to the formation of the content of digital competence, and provides the results of an empirical study, which consists in analyzing the results of a survey of practicing teachers and teacher-training students in order to identify the most demanded digital competencies of a future teacher. The article substantiates the authors’ content of the competence of a future teacher, a university student. The purpose of this article is to develop a theoretical model of digital competence of a future teacher, taking into account the dynamic technologisation of the modern world and the peculiarities of Russian education, based on an analysis of approaches to determining the content of its digital competencies. According to the analysis of studies, the issue of teachers’ digital competence is not sufficiently disclosed. Numerous studies on digital competencies of a person, teacher, etc. do not fully solve the problem of assessing the digital competence of future teachers.

This research aims to determine second-year university students’ understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of 112 student teachers of primary teacher education program at two private universities in Indonesia were involved in this research. A qualitative method with a holistic type case study design was used in this research. The results indicate that a significant percentage of the participants could not correctly interpret and represent fractions. In terms of interpretation, it is found how language could obscure the misunderstanding of fractions. Then, the idea of a fraction as part of a whole is the most widely used in giving meaning to a fraction compared to the other four interpretations, but with limited understanding. Regarding data representation, many participants failed to provide a meaningful illustration showing the improper fraction and mix number compared to the proper fraction. Improvement of fraction teaching at universities - particularly in primary teacher education programs - is needed so that students get the opportunity to develop and improve their knowledge profoundly. We discuss implications for teaching fractions.

The delivery of science, technology, engineering and mathematics (STEM) learning to improve an individual’s competence and future career interests has become a critical scientific undertaking for teachers and researchers alike. A plethora of research has proposed various hands-on robotics activities built on constructivist theories, thereby facilitating the development of knowledge based on reality for scientific and non-scientific stakeholders. Robotics may become an essential focus point within technology provision, which is an essential underlying characteristic for the seminal development of computational thinking (CT). However, despite the potential benefit of CT in developing an individual’s problem-solving skills, strategies for improving this ability through hands-on robotics activities largely remain underexplored. This paper highlights the constructs drawn from hands-on robotics activities in a STEM workshop designed for pre-service teacher students. The qualitative research design involved eight participants to investigate the responses of pre-service teachers to a hands-on robotics activity intended to provide STEM material. The research findings emphasise the correlations between the CT principles and STEM learning phases and underscore the roles played by educational robotics to enhance previous literature on learning experience.

COVID-19 pandemic forces training for principals to be conducted online. This study aims to evaluate the context, input, process, response, study, behavior, and outcome to determine the effectiveness and make recommendations for training. The approach used in this study was a mixed method with a concurrent embedded design and a qualitative method as the main method. The subjects of this study were the principals, committees, and instructors. Data were collected through interviews, observations, and questionnaires and analyzed using Miles and Huberman's model, descriptive analysis, and a t-test. The results show that e-training is effective in context, input, and process. Response, learning, and attitude assessments prove that knowledge, skills, and attitude have improved. Participants will be able to implement the experience gained and impact school quality improvement. This study contributes to the combination of the two evaluation models proven to produce a complete result. The study for the e-training recommends needed assessment before the training, the activity before the training to acquire the skills in using the learning management system, and the monitoring and evaluation after the training.

The study aims to identify how kindergarten teachers perform early literacy assessments in the classroom and the challenges these teachers have in performing such assessments. During the study, the data were gathered through an in-depth interview in the form of a forum group discussion (FGD). Then, the phenomenological data were attained from 30 public and private Kindergarten teachers. The researchers could illustrate how these kindergarten teachers assessed their children's early literacy through these data. Furthermore, the study results show that the teachers' literacy knowledge has been sufficient and that the literacy programs for the children have been variously designed in each school. The teachers' techniques in performing the early literacy assessment are observation and documentation (portfolio), and the measurement of literacy skills itself refers to the scope of literacy. Concerning the findings, numerous obstacles and expectations that kindergarten teachers have are also discussed within the study.

This descriptive research study aimed to assess the management of the existing policies, guidelines, and procedures on the implementation of the interdisciplinary approach in performance-based assessment (IAPA) before and during Coronavirus disease (COVID-19) as a basis for proposing improvements for its implementation in the “new normal”. 30 senior high school science teachers and school leaders from 5 private and 5 public schools in Metro Manila, Philippines, participated in this study. The participants assessed the management of existing policies, guidelines, and procedures on the IAPA’s implementation using a survey questionnaire and identified its strengths and weaknesses using an interview guide. The researchers developed the instruments used for data collection but subjected to experts’ validation and reliability test. Results reveal that the management of IAPA was effective and that it benefits students and teachers in many ways. However, it has also weaknesses, which are associated with the role of school leaders in the implementation of the policies, guidelines, and/or procedures, especially during the new normal education setting. The study provides suggestions for improving IAPA implementation in the new normal covering both the face-to-face and online learning modalities

The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.

Learning activities are conducted to help students achieve optimal academic achievement. This research aims to optimize student academic achievement through a learning process that integrates comprehensive formative assessments, including formative tests, self-assessment, peer assessment, and the initiator of creating summaries or concept maps that are given to students in a structured manner at the end of every lesson. The research method used was a quasi-experimental method with a 2x2 factorial design. Students enrolled in the biology education program of the basic physics course for the 1st semester of the 2019 academic year participated in this study. The participants were 66 undergraduate students divided into two classes. Thirty-four students in the experimental group were in class A, while 32 students in the control group were in class B. Data were collected using a learning outcome test instrument to measure academic achievement, which was tested at the end of the semester. Data were analyzed using a two-way ANOVA. This study concluded that a learning process that includes comprehensive formative assessment significantly affects students' academic achievement. These findings support the theory that formative assessment provides feedback, correction, and improvement in student learning.

Several supporting factors are alleged to influence the performance of teachers. This study aimed to describe the relationship between each research variable and teachers’ performance, either directly or indirectly. This research was conducted through surveys and quantitative approaches that included correlational research types. The research subjects were Hindu religion teachers in 119 state junior high schools, consisting of 517 teachers. The sample of 256 people was determined using the Krejcie and Morgan formula and the Warwick and Lininger formula. The samples from each sub-population were determined with the proportional random sampling technique, and the personal sampling of sample members was determined with the use of lottery techniques. The data were collected using a five-point Likert scale model questionnaire with high validity and reliability. The data analysis technique used in this study was structural equation modelling. The conceptual model met the standards of comprehensive goodness-of-fit requirements. The results of the study show that the average levels of Hindu principals’ leadership, the emotional intelligence of teachers, supervision of school superintendents, school culture, teachers’ work motivation, and the performance of Hindu religion teachers are in the high category. In addition, the hypothesis testing results show there is a significant direct and indirect relationship between the variables in the state junior high school.

The vast technological development affects every layer of people’s daily life, including Education. However, Indonesia’s tertiary education status quo has not exhibited any rapid development in information technology-based learning media. This study aimed to develop and identify the effectiveness of Basic Pedagogy Material online learning material in improving students’ outcomes in pedagogy. It applied R & D design with a waterfall development model on second-semester students in Universitas Negeri Semarang, Indonesia, during the educational year of 2020/2021. The data collected through interviews, observation, questionnaire, scale, and test were analyzed using independent t-test and n-gain. The findings indicated a significant difference between the average score before and after students used the Basic Pedagogy Materials mobile learning application during the learning process. Therefore, the mobile learning application developed effectively improves students' learning outcomes in pedagogy subjects effectively.

This study aims to analyze the impact of Bandura’s observational learning model based on performance assessment learning models and general motor skills on athletic skills learning outcomes. This study used an experimental design treatment by level 2x2. A simple random sampling technique was used with a total of 88 people. The data collection method used consisted of tests and documentation. A two-way analysis of variance was used to analyze the data. The results showed that the students’ athletic skills learning outcomes that followed the Bandura observational learning model based on performance assessment were higher than students’ conventional learning model. There was an interaction effect between the learning model and general motor skills on the student's athletic skills learning outcomes. The students’ athletic skills learning outcomes who follow the Bandura observational learning model based on performance assessment were higher than the conventional learning model. The students with low general motor skills and the students’ athletic skills learning outcomes that followed the Bandura observational learning model based on performance assessment were lower than the conventional learning model. Based on the research findings, it is recommended to improve the athletic skills learning outcomes with Bandura's observational learning model based on performance assessments appropriately and correctly.

This study explored the effects of collaborative writing strategies on students' writing skills and self-efficacy. The study used a mixed methods design combining quantitative and qualitative approaches. Several instruments were used in data collection, including questionnaires, writing tests, writing assessment rubrics, and semi-structured interviews. The participants were randomly divided into two groups: the experimental group and the control group, which comprised 62 students. Data from the questionnaire and writing tests were analyzed using one-way MANOVA and MANCOVA tests, while interview data were explored using thematic analysis techniques. Participants were randomly divided into two groups: the experimental group and the control group. The results showed that collaborative writing strategies could improve students' writing skills and self-efficacy. Moreover, the qualitative results showed that most students responded positively to using these strategies to improve their writing skills and self-efficacy.

Diagnostic tests are generally two or three-tier and based on classical test theory. In this research, the Four-Tier Diagnostic Test (FTDT) was developed based on modern test theory to determine understanding of physics levels: scientific conception (SC), lack of knowledge (LK), misconception (MSC), false negatives (FN), and false positives (FP). The goals of the FTDT are to (a) find FTDT constructs, (b) test the quality of the FTDT, and (c) describe students' conceptual understanding of physics. The development process was conducted in the planning, testing, and measurement phases. The FTDT consists of four-layer multiple-choice with 100 items tested on 700 high school students in Yogyakarta. According to the partial credit models (PCM), the student's responses are in the form of eight categories of polytomous data. The results of the study show that (a) FTDT is built on the aspects of translation, interpretation, extrapolation, and explanation, with each aspect consisting of 25 items with five anchor items; (b) FTDT is valid with an Aiken's V value in the range of 0.85-0.94, and the items fit PCM with Infit Mean Square (INFIT MNSQ) of 0.77-1.30, item difficulty index of 0.12-0.38, and the reliability coefficient of Cronbach's alpha FTDT is 0.9; (c) the percentage of conceptual understanding of physics from large to small is LK type 2 (LK2), FP, LK type 1 (LK1), FN, LK type 3 (LK3), SC, LK type 4 (LK4), and MSC. The percentage sequence of MSC based on the successive material is momentum, Newton's law, particle dynamics, harmonic motion, work, and energy. In addition, failure to understand the concept sequentially is due to Newton's law, particle dynamics, work and energy, momentum, and harmonic motion.