When using mathematics to solve problems in everyday life, problem solvers must recognize and formulate problems by themselves because structured problems are not provided. Therefore, in general education, fostering learner problem posing is an important task. Because novice learners have difficulty in composing mathematical structures…

Combinatorial enumeration has a variety of important applications, but there is much evidence indicating that students struggle with solving counting problems. The roots of such difficulty, as well as ways to mitigate such difficulty, have not yet been thoroughly studied. In this paper, one particular aspect of students' counting activity is…

This study analyzed design and technological issues encountered by online course instructors as they taught 120 online courses while working with a designated instructional designer. Having developed the courses and having had them approved in compliance with a set, standardized rubric, implementation of the 120 courses brought out issues that…

In this follow-up article, the authors explain that when technology is integrated in an equitable manner and with due regard for professional learning, the affordances of Web 2.0 technology and interactive devices allow teachers to not only promote procedural fluency but also to develop students' conceptual understanding, reasoning and…

This study addresses the development and evaluation of the Physics Problem-Solving Taxonomy (PPST), comprising five levels: retrieval, diagnosis, strategy, conceptual, and creative thinking. The taxonomy draws on Bloom's revised taxonomy in the cognitive domain, the Types of Knowledge Taxonomy, and the Problem-Solving Taxonomy in engineering. The…

Picture this: a PhD chemist, PhD science educator, and a preservice Latina elementary educator walk into an aftercare program for primary and intermediate students from a rural school. These students are identified as low income and at risk and therefore eligible to participate in this school-provided aftercare. While across the state, these same…

The application of ethnomathematics and mathematical modelling allow us to see a different reality and give us insight into mathematics accomplished holistically. In this context, a pedagogical action that connects ethnomathematics and the cultural aspects of mathematical modelling with its academic features is referred to as ethnomodelling. This…

The purpose of this study was to examine the epistemological beliefs of middle school students in rural area and their attitudes toward solving mathematical problems according to gender and class level variables. It was also necessary to determine whether the epistemological beliefs of middle school students in rural area had predicted their…

In this article we present the results of a study focused on engaging students in argumentation to support their growth as mathematical learners, which in turn strengthens their science learning experiences. We identify five argumentation categories that promote the learning of argumentation skills and enrich mathematical reasoning at the…

This article proposes that in addition to training teams of students to succeed in the Mathematical Contest in Modeling, the contest and the preparation for competition can be successfully used as a framework to teach an auxiliary skill set to undergraduate STEM majors through workshop-style modules. The skills emphasized are collaboration across…

Makerspaces provide a viable option for constructing and sharing knowledge in schools. Inherent in the designing, tinkering, and playing that learners engage in through making are competencies, such as the ability to create, problem solve, and innovate, decreed as critical by education policymakers. This paper summarizes results from a study in a…

Using a pre-post randomized controlled trial, the purpose of this study was to determine whether a social problem-solving curriculum, "Take CHARGE!," based on a cognitive-behavioral approach, could improve students' knowledge of problem-solving skills, as well as self-report of social behaviors for 92 middle school students with…

Qualified learning materials is needed in the efforts to improve the quality of teaching-learning mathematics. Qualified learning materials can be obtained through development research. Learning materials in this study were learning materials that were developed based on guided discovery learning model. The learning materials was also developed by…

The movement towards competency-based education in social work has required a shift in delivery to more experiential learning opportunities for students. Looking forward, the Council on Social Work Education [CSWE] has instituted a Futures Task Force, exploring roles social workers may play in the future, with particular attention to the evolution…

Engineering thinking enhances real-world learning; it emphasises system thinking, problem finding and creative problem solving as well as visualising, improving, and adapting products and processes. Several studies have investigated how pre-service preschool teachers acquire their knowledge of technology and engineering; however, a clear…