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.

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.

The greatest impact of the COVID-19 pandemic on Indonesian education was the decline in teacher performance. In light of this information, this study analyzes the role of supervision, salary and benefits, school climate, training and development, and perceived organizational support in moderating the impact of competence on teacher performance during the COVID-19 pandemic. This study also compares the relationships between employed government and private teachers. Data were collected through questionnaires to teachers with a sample of 166 government teachers and 175 private teachers in primary and secondary schools through a Google form and analyzed using moderated Structural Equation Modeling-Partial Least Square (SEM-PLS), multigroup, and multilevel analysis. The results showed that salary and benefits, training, and development did not affect the performance of public school teachers. In contrast, only salary and benefits did not affect teacher performance for private teachers. Moreover, only supervision significantly moderated the effect of competence on the performance of public school teachers. However, supervision, salary, benefits, school climate, training and development, and perceived organizational support did not affect private teachers' performance. The Ministry of Education or the Foundation needs to review and improve the mechanisms of training and development, supervision, and school organizational climate to promote optimal teacher performance during the pandemic.

Reflective practices have been recognized as a predictor of professional development because they favor teaching changes that improve the students’ learning. The expressions reflection, practice, and reflective professionals are very present in training programs, but with a diversity of meanings and interpretations. The concept of reflection is linked to professional development and teaching identity. The goal of training reflective teachers is shared on an international level, however, the educational conditions that favor a positive attitude toward reflection have not been sufficiently researched. This article aims to describe the obstacles to a positive attitude toward reflection in pedagogy students according to their teachers. This study is qualitative with an interpretive approach for which an instrumental case study was conducted with 15 university teachers in six Chilean regions.  The results show that both inter-institutional conditions negatively affect attitudes, as well as the lack of models of reflective practice, insufficient teaching, the way teacher reflection is evaluated, and the barriers to reflective practice in schools. The results indicate the need to intentionally teach pedagogical reflection practices and help to recognize its benefits for teaching.