Research into mathematics education at university level includes a wide range of theoretical approaches. This poses considerable challenges to researchers in terms of understanding and harmonizing the compatibility and commensurability of those approaches. The research community has already problematised and studied these challenges using…

Problem solving, and specifically the goal of developing problem-solving competences, is a significant dimension of environmental education. Moreover, human senses and electronic sensors have been recognized as important tools in authentic problem-based learning. The purpose of this paper is to present a model to support teachers in creating…

This is the protocol for a Campbell systematic review. The objectives are as follows: The purpose of this review is to synthesize the evidence about the efficacy of problem solving before instruction (PS-I) to promote learning and motivation in students. Specifically, this review is designed to answer the following questions: To what degree does…

Worldwide interest in Lesson Study (LS) and the opportunities offered for student learning through the use of a Structured Problem-Solving Approach (SPSA), as typically adopted in Japanese LS research lessons in mathematics, have left largely unanswered questions about the extent to which these can be replicated elsewhere. This paper presents a…

Purpose: The purpose of this paper is to present the 2030 SDGs Game as a pedagogical tool for the promotion of interdisciplinary education. Based on the simulation of possible world outcomes for the year 2030, the game induces participants to reflect on the socioeconomic and environmental consequences of actions and facilitate the exploration of…

Curriculum change affords middle leaders opportunities for pedagogical and planning renewal. This paper reports case studies of two schools engaged in preparing for implementation of Version 9 of the Australian Curriculum: Mathematics. Drawing on interview data from a middle leader from each school, Bacchi's question, "What's the problem…

The literature describes different stances concerning the focus on how mathematics should be taught, with some preferring a conceptual knowledge approach and others a procedural knowledge approach. The current study investigated the relationship between students' conceptual and procedural knowledge in a calculus context. To better understand the…

The rapid adoption of deep learning models has resulted in many business services becoming model services, yet most AI systems lack the necessary automation and industrialization capabilities. This leads to heavy reliance on manual operation and maintenance, which not only consumes power but also causes resource wastage and stability issues during…

Developing social workers' capacity and engagement in collaborative community-based innovations to climate-driven and other environmental hazards better ensures progress on the Grand Challenges. Such inclusive solutions value community leadership and are culturally responsive and justice-centered. Multisolving, pioneered by Dr. Elizabeth Sawin,…

Successful integration of problem-solving in mathematics classrooms lies mostly with the assistance and support teachers get. Many studies have been conducted on the strategies teachers can use to integrate problem-solving in their teaching of mathematics, however, few studies have been conducted on frameworks/models that can assist teachers and…

Over the past several years, we have contributed articles to "TPT" that focus on a forensics-style reexamination of significant historical events. The purpose of these articles is to afford students the opportunity to apply basic principles of physics to unsolved mysteries and potentially settle the historical debate. We assembled the…

Understanding students' mathematical thinking in problem solving process plays an important role in facilitating the solution. Hence, teachers or pre-service teachers need to understand students' thoughts and guide them to the correct answer. The aim of this study was to examine pre-service teachers' approaches to guiding students in problem…

In this research study, an instructional intervention protocol is described. This intervention was designed to help teachers to engage English Learner students (ELs) in mathematical problem-solving lessons and reasoning through discourse. The "Discursive Mathematics Protocol" (DMP) integrates Polya's classic problem-solving framework and…

This study explored how instructional guide documents and high school engineering teachers understand the concept of mindset and the instructional practice of feedback as students engage in classroom problem-solving activities. From data analysis, several important conclusions were made. High school engineering teachers create a classroom climate…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…