This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments.…

Prior work on teachers' mathematical knowledge has contributed to our understanding of the important role of teachers' knowledge in teaching and learning. However, one aspect of teachers' mathematical knowledge has received little attention: "strategic competence for word problems." Adapting from one of the most comprehensive…

Scaffolding is one of the critical features in a problem-based learning environment to address challenges associated with problem solving. While transfer of responsibility is considered as an ultimate goal in scaffolding that is adaptive and contingent, it is rarely studied and practiced. Thus, the purpose of this study was to inform a deeper…

This study highlights the importance of metacognitive awareness of economics students and examines the relationship between Problem-Based Learning (PBL) and Metacognitive awareness among economics students. This research was conducted in the Faculty of Economics, Universitas Negeri Malang of Indonesia by employing economics students as the subject…

Supporting the development of skills associated with self-determination (e.g., goal setting and attainment, problem solving) and providing opportunities to practice those skills impacts valued school and postschool outcomes of students with complex communication needs. To address this need, the Self-Determined Learning Model of Instruction (SDLMI)…

National and state standards in the US have emphasized the importance of solving and posing word problems in students' mathematics learning for decades. Therefore, it is essential for prospective teachers (PTs) to have the mathematical knowledge necessary to teach these skills to their future students. Unfortunately, little research has…

The authors present mathematics problems related to the packaging of sporting goods which they used to motivate and engage their students in the USA. This article reports on a series of questions/problems that were explored in groups by the students in a college class designed for sophomores, as part of a program to prepare them to be teachers at…

Quadratic modeling problems are commonplace in high school mathematics courses; they typically situate quadratic patterns of change and their corresponding parabolic graph within real-world contexts. Traditional approaches to this type of problem lend themselves to making connections across different representations (e.g., Garofalo and Trinter…

The Individuals With Disabilities Education Act requires schools to conduct a manifestation determination (MD) meeting when suspending students with disabilities for more than 10 days. The MD procedure is intended to safeguard educational access by providing a process to determine if a student's disability is related to the suspending behavior. An…

Mathematical word problem solving is influenced by various characteristics of the task and the person solving it. Yet, previous research has rarely related these characteristics to holistically answer which word problem requires which set of individual cognitive skills. In the present study, we conducted a secondary data analysis on a dataset of N…

The learning of mathematics poses specific linguistic challenges. Amongst them, teachers and students need to be able to unpack the language used in mathematics word problems to understand its context, discern the relationships between the known and unknown information, and identify relevant solution strategies. Prior research has described some…

Incorporating civic engagement in the undergraduate curriculum has become a goal in higher education generally and the communication discipline specifically. Given this emerging priority, we offer a framework that integrates civic engagement in the communication classroom and meets students and instructors needs, experience, and goals. Drawing on…

Integration of social-emotional learning (SEL) content and vocabulary within read-alouds of multicultural literature provides powerful learning contexts for enhancing young children's social problem-solving, language development, and comprehension. Multicultural literature allows children to gain greater understanding of themselves and others…

This research aimed to explore the effect of problem-based STEM activities on middle school students' perceptions related to problem-solving skills and their critical thinking tendencies. The sample consisted of 81 students. A mixed method was employed in the research. The quantitative data collection tools were the "Critical Thinking…

The ability of students to perform quantitative analysis is a fundamental aspect of analytical chemistry courses and laboratories. In this laboratory experiment, students quantitatively analyze both liquid and solid samples through the use of internal standard calibration and ATR-FTIR spectroscopy. Using a problem-based approach to selecting their…