Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

Geometry education is an important aspect of STEM education and career development, but it is often overlooked in K-12 education in the United States. Although there is some research on teaching geometry to students with learning difficulties at the elementary level, there is a lack of research on teaching advanced geometry skills at high school…

This article is about problems that children may have when learning mathematics, problems that are also typified in publications as 'dyscalculia'. We consider two questions. The first: Is a child a dyscalculic if it runs into trouble learning mathematics? The second: Does a child have problems when learning mathematics because it experiences…

With the growing attention directed towards ChatGPT and its applications in education, this study explored its impact on various variables pertaining to student learning. Specifically, an integrated theoretical framework was used to investigate the factors that influence student problem-solving and critical thinking abilities when using ChatGPT…

The worked example effect has been well documented within the framework of Cognitive Load Theory (CLT), which suggests that teaching with examples would be superior to engaging in unguided problem solving, particularly for novices, as using worked examples would reduce their cognitive load, compared to solving problems, thus facilitating knowledge…

In this article I share student and teacher experiences of forest walks (in Finnish: Metsäkävely) as a form of outdoor education in a Finnish special education school in a hospital setting. I was the teacher of these students in the hospital school setting, and so was an insider researcher, and teacher as researcher, undertaking…

Worked examples are effective learning tools for algebraic equation solving. However, they are typically presented in a static concise format, which only displays the major derivation steps in one static image. The current work explores how worked examples that vary in their extensiveness (i.e., detail) and degree of dynamic presentation (i.e.,…

The visual method in this paper solves linear inequalities in one variable by considering them initially as two competing linear expressions, each of which is then expressed as a linear equation. When the solution of these two linear equations exist, it is viewed as a highlighted area or a line. These linear equations convey the intended visual…

Ample studies have confirmed that the concepts of Community of Practice and Lesson Study can effectively develop professional development, especially in the design of learning. This positive impact on learners is also evident. Therefore, this study aimed to examine the results that occurred with students who learned from teachers who used…

The objectives of the research were to identify the difficulty level of various types of chemical representation for students and to examine the effects of two different models of teaching and learning chemistry (problem-solving based on multiple representations and problem-solving) on the students' cognitive achievement in chemical equilibrium.…

The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students' mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric…

Background: Group size is one of the important factors that affect collaborative learning, however, there is no consensus in the literature on how many students should the groups be composed of during the problem-solving process. Objectives: This study investigated the effect of group size in a K-12 introductory Artificial Intelligence course by…

This study explores the effect of self-regulated learning support on learners' cognitive load and problem-solving performance, considering cases from well-structured to ill-structured tasks in a computer programing course. Sixty-seven undergraduate students in a computer programing fundamentals course were randomly assigned into one of two groups:…

This study explores the worked-example instruction (WEI) and the van Hiele teaching phases (VHTP) pedagogies to advance students' acquisition of procedural and conceptual understanding of solving simultaneous equations. The quasi-experimental study involved two groups of high school students (age=15): 157 students in total with 72 in one group and…

The unit factor method, a generic strategy for solving any proportion-related problem, is known to be effective at reducing cognitive load through unit-cancellation providing step-by-step guidance. However, concerns have been raised that it can be applied mindlessly. This primarily quantitative prepost study investigates the efficacy of…