In this paper, we introduce novel instructional approaches to engage students in using modelling with data to motivate and teach differential equations. Specifically, we introduce a pedagogical framework that will execute instructional modules to teach different solution techniques for differential equations through repositories and notebook…

It is well-known that a key to promoting students' mathematics learning is to provide opportunities for problem solving and reasoning, but also that maintaining such opportunities in student-teacher interaction is challenging for teachers. In particular, teachers need support for identifying students' specific difficulties, in order to select…

For many learners in the United States, the education system has been dominated by compulsory education that largely ignores the learning that can happen when learners are able to follow their curiosity and explore without significant adult intervention. The research problem was that despite a wide body of literature on the benefits of…

The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional…

Transmission teaching which centres around traditional lecturing discounts the variety of different learners and individual aptitudes. Physical Geography as a discipline has historically provided a range of teaching methods beyond lecturing which embrace field and laboratory activities, frequently adapting new research technologies to further…

Although children learn more when teachers gesture, it is not clear "how" gesture supports learning. Here, we sought to investigate the nature of the memory processes that underlie the observed benefits of gesture on lasting learning. We hypothesized that instruction with gesture might create memory representations that are particularly…

Since its first notable appearance in the "Second Handbook of Research on Mathematics Teaching and Learning," the phrase productive struggle has garnered support from a few, yet very influential, educational researchers. However, since the phrase was popularized by Hiroko Warshauer in 2011, examinations of the productive struggle have…

The benefits of incorporating process information in a large-scale assessment with the complex micro-level evidence from the examinees (i.e., process log data) are well documented in the research across large-scale assessments and learning analytics. This study introduces a deep-learning-based approach to predictive modeling of the examinee's…

This article illustrates how teachers can use number lines to support students with or at risk for learning disabilities (LD) in mathematics. Number lines can be strategically used to help students understand relations among numbers, approach number combinations (i.e., basic facts), as well as represent and solve addition and subtraction problems.…

"Assumptions" play a fundamental role in disciplinary mathematical practice, especially concerning the relativity of truth. However, much is still unclear about ways to help students recognize key aspects of this role. In this paper, we propose a set of principles for task design to introduce students to the role of assumptions in…

Integrating local culture in physics lessons may encourage the development of creative thinking and problem-solving skills. This research aims at examining the effectiveness of the implementation of the creative physics problem solving model based on the local culture of Yaaqowiyu (Cripics-Qu) to improve student's creative thinking and…

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…

The Campbellian validity typology has been used as a foundation for outcome evaluation and for developing evidence-based interventions for decades. As such, randomized control trials were preferred for outcome evaluation. However, some evaluators disagree with the validity typology's argument that randomized controlled trials as the best design…

Recent studies have shown that playing with coding toys enhances children's skills in STEM-subjects, especially problem-solving abilities. However, there is limited knowledge of early childhood education and care (ECEC) teachers' roles in facilitating children's problem-solving through coding-toy play activities and the high-quality pedagogical…

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…