The revised Australian curriculum presents a new emphasis in primary schools on the process of Mathematical Modelling. A modelling focus brings close attention to confidence and capability with a potentially new problem-solving process, associated language, and pedagogical processes. This paper presents a Year 4 classroom modelling experience that…

This study aimed to comparatively analyse the effects of problem-based learning model (PBLM) on cognitive outputs (CO). The study reviewed quasi-experimental studies on PBLM and CO, focusing on the cognitive outputs of thinking skills, problem-solving skill, and academic achievement. The quantitative data of these studies, comprising 56 articles…

Studies have found that some teacher professional development programs that are based on Cognitively Guided Instruction (CGI) can increase student mathematics achievement. The mechanism through which those effects are realized has been theorized, but more empirical study is needed. In service of this need, we designed a novel measure of…

Even after many decades of productive research, problem solving instruction is still considered ineffective. In this study we address some limitations of extant problem solving models related to the phenomenon of insight during problem solving. Currently, there are two main views on the source of insight during problem solving. Proponents of the…

We face complex global issues such as climate change that challenge our ability as humans to manage them. Models have been used as a pivotal science and engineering tool to investigate, represent, explain, and predict phenomena or solve problems that involve multi-faceted systems across many fields. To fully explain complex phenomena or solve…

Mathematization is a critical competency in the modelling process. This study aims to elicit prospective mathematics teachers' mathematizing through the analysis of their solution approaches to a modelling problem related to the bales of straw. This study was conducted with 75 fourth-year prospective mathematics teachers (PMTs) enrolled in a…

Although culturally responsive mathematics teaching is important, post-secondary education for preservice teachers (PTs) does not typically lead to learning opportunities for them to use mathematics to recognize the roles of social agents. To address this issue, we created a culturally responsive mathematical modeling task in which we invited PTs…

In massive open online course (MOOC) environments, computer-based analysis of course reviews enables instructors and course designers to develop intervention strategies and improve instruction to support learners' learning. This study aimed to automatically and effectively identify learners' concerned topics within their written reviews. First, we…

Background/purpose: The increasing integration of digital technology in education underscores the need for instructional models that support personalized, skill-based, and problem-solving focused learning. While traditional pedagogies often fail to address these needs comprehensively, this study proposes that the Mastery Adaptive Problem-Solving…

Large Language Models (LLMs) hold promise as dynamic instructional aids. Yet, it remains unclear whether LLMs can replicate the adaptivity of intelligent tutoring systems (ITS)--where student knowledge and pedagogical strategies are explicitly modeled. We propose a prompt variation framework to assess LLM-generated instructional moves' adaptivity…

The 21st-century skills seek to develop learners who will be problem solvers in society. This paradigm shift requires the use of learner-centered strategies that emphasize collaborative problem-solving. To explore the effectiveness of such approaches, this study sought to determine how effective Wheatley's problem-centered approach would be in the…

Challenge: The Hodgkin-Huxley membrane conductance model has been featured in biomedical engineering (BME) curricula for decades. A typical BME assignment might require students to apply the relevant equations and parameters to model the generation of action potentials; however, there is opportunity for students to build and explore both…

This article details an exploratory data analysis project using the Common Online Data Analysis Platform (CODAP) based on the "Guidelines for Assessment and Instruction in Statistics Education" (GAISE) four-part statistical problem-solving model. The project goal was to answer what similarities and differences exist within the school…

Collaborative problem-solving (CPS) has been one of the essential core skills for future students. However, we found that there are many studies on the evaluation of collaborative problem-solving skills, but there is little studies on the subject areas based on which collaborative problem-solving skills have been evaluated. The three-dimensional…

Research often examines cognitive load as it relates to direct instruction, worked examples and problem-solving combined as an integrated whole. The present study examines these strategies in isolation to see their effect on cognitive load. Using learning materials covering the basics of critical thinking to undergraduate law students (n = 160) at…