Employing authentic cases experienced by practitioners in educational contexts is critical to expanding students' experience and engaging students in authentic problems to promote their real-world problem-solving skills. Although in real life, practitioners experience both success and failure and learn from both, little research has been done so…

Cognitive load theory is one of the most influential theoretical explanations of cognitive processing during learning. Despite its success, attempts to assess cognitive load during learning have proven difficult. Therefore, in the current study, students' self-reported cognitive load after the problem- solving process has been combined with…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

How students' rigid perceptions of mathematics persist over years has been a conundrum. Students not only think that only one solution exists for a mathematical task (Schoenfeld 1985) but also rigidly fuse mathematical concepts with specific tasks. Students deserve to learn a variety of mathematical strategies to flexibly deploy at will. Teaching…

Models of self-regulation describe how individuals engage deliberately and reflectively in goal-directed action in order to achieve valued goals. Studies have found that the consistent use of self-regulation in an academic setting is highly correlated with student achievement. Self-regulation plays a critical role in problem-solving, particularly…

This study aimed to determine individual- and country-level latent classes in literacy, numeracy and problem-solving competencies of individuals participating in the Programme for the International Assessment of Adult Competencies 2015. Specifically, it sought to distinguish these classes in relation to individuals' sex and to identify the state…

This paper presents a teaching experiment with preschoolers, considering games as means for presenting problem-based situations and focusing on the development of game design in connection to problem posing skills. The study was conducted in a focus group of eighteen 5-6-year-old students who participated in game design sessions, compared to a…

We investigate conditions in which novices make some reference errors when programming. We asked students from introductory programming courses to perform a simple code-writing task that required constructing references to objects and their attributes. By experimentally manipulating the nature of the attributes in the tasks, from identifying…

The purpose of the study was to test the relationship, if any, of educational leader professionals' views of Servant Leadership characteristics and their preferred style of solving problems. As such, it was a construct validity study which tested whether individuals who exhibit certain style preferences also exhibit predicted preferences for…

For several decades California public school reforms have focused on, and dedicated enormous resources of every kind to student learning and achievement, seeking ways to improve the definitive outcomes required by the state: uniform proficiency on assessments, and an increase in high school graduation rates for all students. In California's…

The motivation behind this examination is to present the theoretical structure of Modeling Activities, which is believed to be a vital device for mathematics instruction. Modeling activities are defined as activities to figure out complex problems faced in real life situations that require the creation of a mathematical model as a product. In…

Math anxiety -- negative feelings towards math -- is hypothesized to be associated with the avoidance of math-related activities such as taking math courses and pursuing STEM careers. Surprisingly, however, there is little experimental evidence for the math anxiety- avoidance link. Such evidence is important for formulating how to break this…

Environmental issues needed a lot of attention especially from high school students, and their skill in solving environmental problem is important for the future. This research was aimed to discover a profile of students' analytical skills toward environmental issues. Three hundred twenty-nine high school students in coastal area are involved.…

Learning systems can utilize many practice exercises, ranging from simple multiple-choice questions to complex problem-solving activities. In this article, we propose a classification framework for such exercises. The framework classifies exercises in three main aspects: (1) the primary type of interaction; (2) the presentation mode; and (3) the…