The research reported in this article sought to develop a taxonomy of grade 11 students' levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be…

'Mathematical sophistication' behaviours are often exercised by mathematicians in their work. In this article, the importance of mathematical sophistication will be discussed and three mathematics problems that activate mathematical sophistication behaviours will be presented.

Numerous variants of Kahneman and Tversky's (1972) hospital problem have been used to investigate intuitions about the Empirical Law of Large Numbers (eLLN). A largely separate line of research has focused on interactions between context knowledge and statistical reasoning. The present study merges these two lines of research by analyzing tertiary…

Ensuring trainees develop the flexibility with their knowledge to address novel problems, and to efficiently build upon prior knowledge to learn new knowledge is a common goal in health profession education. How trainees come to develop this capacity to transfer and transform knowledge across contexts can be described by adaptive expertise, which…

Storytelling is an important method for removing obstacles to learning mathematics and making lessons understandable. This research aims to analyze primary school teachers' stories written to teach students concepts of problem solving, fluency, reasoning, and understanding skills. The study is a qualitative case study and the participants were 25…

We offer an analysis of calculus assessment items that highlights ways to evaluate students' application of important meanings and support their engagement in generative ways of reasoning. Our central aim is to identify characteristics of items that require students to apply their understanding of key ideas. We coordinate this analysis of…

Purpose: The purpose of this study is to develop an intelligent tutoring system (ITS) for programming learning based on information tutoring feedback (ITF) to provide real-time guidance and feedback to self-directed learners during programming problem-solving and to improve learners' computational thinking. Design/methodology/approach: By…

Clinically integrated curricula in health science education has been shown to promote the development of problem-solving schema and positively impact knowledge acquisition. Despite its' purported benefits, this type of curricula can impose a high cognitive load, which may negatively impact novice learners' knowledge acquisition and problem-solving…

Concerns about the influence of misconceptions, culture and social setting on probabilistic reasoning of teacher trainees led to a study in this area to explore the reasoning of preservice teachers from a college of education in Ghana. This study investigates preservice teachers' misconceptions and difficulties in probabilistic problems solving…

The purpose of this study was to quantitatively assess the integration of computational thinking with learning about biological evolution. Specifically, we investigated the effectiveness of a framework from a recently developed learning progression that emphasises the complex nature of teaching both computational thinking and biological evolution.…

Research on active learning that emphasises question formulation activities has received less attention. This study was conducted to address the said gap identified in the literature by testing the thinking empowerment by questioning (TEQ) strategy on the level of conceptual understanding (CK) and critical thinking (CT) of students in Biology…

Background: Science, Technology, Engineering, and Mathematics (STEM) education in Asian universities struggles to integrate Knowledge, Skills, and Attitudes (KSA) due to large classes and student reluctance. While ChatGPT offers solutions, its conventional use may hinder independent critical thinking. Objectives: This study introduces PA-GPT,…

This paper reports on teachers' perceptions of students learning as part of a project examining teacher practice and student learning when using "ScratchMaths" in their classroom programmes. The project used design-based methodology, incorporating video-recorded classroom excerpts; teacher interviews; and teacher analysis and review of…

Major experimental teaching plays a crucial role in cultivating the ability of undergraduates majoring in environmental engineering to solve complex engineering problems. The study explores the integration of scientific research resources into undergraduate experimental teaching, aiming to enhance the quality of talent cultivation by transforming…

Modeling is an important element of discovery and design processes because it can help individuals to comprehend and facilitate solutions to problems, mediate among mental and external representations, and off-load cognitive demands. However, engaging in model generation, comprehension, and transformation requires the orchestration of domain…