Examples play a variety of roles in proving and disproving. Buchbinder and Zaslavsky (2019) have produced an a priori mathematical framework for assessing students' understanding of the role of examples when proving and disproving universal and existential statements. In this paper, I highlight three important aspects that suggest an extension of…

The COVID-19 pandemic has brought unprecedented challenges to teachers. Teachers need a creative way to continue the engaged teaching process under the constraints of physical separation, emotional anxiety, and insecurity. Technology teachers who develop students' technology literacy or skills should be aware of the importance of integrating…

Supporting students' problem-solving skills, solution planning and sequencing of different stages that are involved in successfully developing a meaningful solution to a problem has been a challenge for teachers. This case study was informed by reflective investigation methodology which explored how procedural flowcharts can support student…

AHP and Conjoint analysis methods are used to determine the priorities and preferences of groups or individuals in the decision-making process. These methods provide predictive results in many fields such as economics, politics, and environmental sciences. Multi-criteria decision-making methods have the potential to produce effective results in…

In this study, Q methodology was employed to explore instructional designers' perceptions of integrating ChatGPT in their design practices. Compared with traditional survey-based instruments that rely heavily on Likert-scale items, open-ended questions, interviews, or focus groups, Q methodology has the potential to systematically reveal and study…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

The current systematic review study explores instructional designer practices to develop a comprehensive understanding of strategies employed by instructional designers and the expectations of the field. Using the PRISMA protocol, a total of 98 articles were included in the review consisting of 65 qualitative, 15 quantitative, and 18 mixed-methods…

This research was conducted to examine the views of preschool teachers regarding out-of-school learning environments for mathematics activities and their usage of these environments. The research was conducted out using a phenomenological design, one of the qualitative research methods. The study group consisted of 42 preschool teachers working in…

In recent years, numerous research studies have highlighted how teachers' perceptions of educational robotics (ER) and their sense of self-efficacy can influence the learning process. Although different instruments exist to investigate teachers' perspectives on ER, the Robotics Interest Questionnaire (RIQ) scale, developed within the Portuguese…

Teaching strategies used by teachers have a direct impact on how well their students learn high-order thinking skills. The purpose of this study was to summarise prior research on the application of higher-order thinking skills from the perspective of a teacher in Islamic education. The PRISMA guidelines were used to search for the relevant…

This study is an examination of 79 elementary prospective teachers' (PSTs') capacity for recognizing the core ideas involved in modeling fraction addition problems and their difficulties in solving and presenting the process of fraction addition using area, length, and set models. PSTs completed a written task in which they represented the process…

Teacher perception is one of the most important factors determining classroom teaching practices. Multiple representations are used extensively in mathematics classrooms, especially in developing conceptual understanding. The data in this study, which aims to compare Turkish and US middle school mathematics teachers' perceptions of multiple…

The purpose of this study is to gain understanding of how secondary teachers conceptualize the relationships between mathematical modeling and problem solving. Eight secondary teachers participated in semi-structured, think-aloud individual interviews. Some conceptualizations include (a) modeling and problem solving are two distinct processes; (b)…

Years of failed attempts to engage my mathematics teacher students in exploration and co-creation led me to radically change my teaching approach. Inspired by literature that uses the jazz improv metaphor for teaching, I derived three tenets based on principles from jazz improv. First, I would bring no more than a single problem-solving task to…

Minimum Competency Assessment (MCA) is the latest assessment conducted nationally in Indonesia. MCA measures students' cognitive in literacy and numeracy. This study illustrates the difficulty of students in solving numeracy questions in the minimum competency assessment. This research is included in case study research with a qualitative…