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…

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…

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…

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…

Metacognitive instruction supports L2 listening learners to enhance their listening comprehension skill. To date, some review studies have investigated this topic; however, none of them has reported quantitative and qualitative findings in the form of a systematic literature review. This research addresses this gap by collecting, analyzing, and…

Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

There is limited evidence on what drives teachers to change their teaching practices. Using primary qualitative data from 78 Zambian education personnel from the school to the provincial level, we combine qualitative thematic analysis with an unsupervised machine-learning technique (topic modeling) to identify drivers of pedagogical shifts. We…

Uncertainties are inherent in education as learners encounter gaps in their awareness of topics, receive new information that potentially conflicts with prior understandings, and grapple with known unknowns in order to construct new knowledge. While researchers have shown that students productively struggling with problematized and uncertain…

It is crucial for students with learning disabilities (SLDs) to possess psychological resilience in order to pursue their careers as entrepreneurial individuals. One of the areas where entrepreneurship skills are taught in middle school is in science courses. This shows the importance of teaching psychological resilience in science courses. On the…

The need for problem-solving and creative thinking skills to be taught well in business studies classrooms can never be overemphasised due to the complexity of the problems and challenges faced by businesses in the 21st-century business environment. Teachers are, therefore, required to adopt pedagogies that would enable learners to acquire…

In this paper, we present a case study of a secondary mathematics teacher, Isaac (pseudonym), and his considerations for teaching with multiple methods for solving missing-value problems. While his students preferred methods that drew more closely on their intuitive understanding of proportionality, Isaac emphasised the algorithmic…

Mathematics plays a crucial role in engineering education. Students who are good at math are often advised to consider engineering as a career. In this study, engineers, mathematics teachers, and engineering professors were asked about the type of mathematics representative of engineering, whether the engineering problems created by math…

Teaching through problem-solving (TTP) is an approach that helps develop learners', critical thinking, creative thinking, communication collaborative, and computational (5Cs) skills. This approach provides an opportunity for the teachers to maximise metacognition resulting in quality of instruction. This research study aims to determine the…