This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…

This study aims to develop a structured scaffolding-guided inquiry (SSGI) learning model that is oriented toward nurturing argumentation skills to solve complex problems. Test the effectiveness of the SSGI model in improving students' argumentation skills to solve complex problems. This research is development research that refers to Dick and…

This paper describes a model of mathematics bianshi teaching using one problem with several solutions, changes, and applications in an inquiry-based classroom. Based on the model of mathematics bianshi teaching, the author discusses a class-room experience where one Chinese mathematics teacher takes a simple plane geometry problem to guide…

This study delves into the integration of Project-Based Learning (PBL) and Computational Thinking (CT) to enhance 21st century learning. Through a Narrative Literature Review (NLR), pivotal strategies for effective implementation are identified. These include fostering collaborative pedagogy, employing visualization tools, embracing diverse…

Technology-based, open-ended learning environments (OELEs) can capture detailed information of students' interactions as they work through a task or solve a problem embedded in the environment. This information, in the form of log data, has the potential to provide important insights about the practices adopted by students for scientific inquiry…

This paper introduces a model built upon the Method of Varying Inquiry, offering a didactical approach to problem posing and solving activities that stimulates inquiry-based learning in mathematics classrooms. The model combines the inquiry-based framework with the variation theory and with specific didactical and theoretical elements (the…

This paper illustrates how years 1 and 2 students were guided to engage in data modelling and statistical reasoning through interdisciplinary mathematics and science investigations drawn from an Australian 3-year longitudinal study: "Interdisciplinary Mathematics and Science Learning" (https://imslearning.org/). The project developed…

This study aims to determine the effect of the geographical inquiry learning model with the SETS approach on complex problem-solving abilities. The hypothesis in this study consists of H0 (There is no difference in the effect of the geographical inquiry learning model with the SETS approach on the students' CPS abilities) and H1 (There is a…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.

Background: Recent developments in STEM and computer science education put a strong emphasis on twenty-first-century skills, such as solving authentic problems. These skills typically transcend single disciplines. Thus, problem-solving must be seen as a multidisciplinary challenge, and the corresponding practices and processes need to be described…

Problem solving plays an essential role in all scientific disciplines, and solving problems can reveal essential concepts that underlie those disciplines. Thus, problem solving serves both as a common tool and desired outcome in many science classes. Research on teaching problem solving offers principles for instruction that are guided by learning…

The literature highlights differing views on the efficacy of modelling lessons for teacher professional learning. In this study we draw on dissonance theory to discuss lesson modelling that seeks to transcend 'do as I do' imitation and provoke teachers' attention to intended teaching practices: a necessary pre-cursor for changes to practice. A…

The author was an engineer for 20 years in both development and applications followed by 15 years as adult educator primarily at a Midwestern urban university with under-represented students. Beginning fall 2008 and for the next 7 years, he developed interventions for "underprepared" STEMM (STEM and pre-Medical) students. This freshmen…

The NGSS MS-ETS1 Engineering Design (1-4) is the focus of the article. Development of a challenging problem-based activity that is an improvement over the traditional egg drop competition is emphasized. Quantification of data collected and real-world relevance are two activity components that are viewed as improvements over the egg drop. The…

As effective methods to foster students' understanding of scientific models in science education are needed, increased reflection on thinking about models is regarded as a relevant competence associated with scientific literacy. Our study focuses on the influence of model-based approaches (modeling vs. model viewing) in an out-of-school laboratory…