The ability to solve geometric construction problems is justly regarded as an essential component of mathematical culture. The dynamic, general nature of objects provided by dynamic geometry systems allows the development of intuitive methods for solving construction problems. The core mathematical concept underlying this approach is the loci…

A hybrid of architectural design and engineering, architectural engineers (AEs)design and remediate problems with internal and external structures and systems of building and facilities in the US. Trained and credentialed in academic programs awarding approximately 1,000 degrees annually, AE is a mid-sized specialty engineering degree comparable…

Behavioral flexibility--the ability to tailor motor actions to changing body-environment relations--is critical for functional movement. Navigating the everyday environment requires the ability to generate a wide repertoire of actions, select the appropriate action for the current situation, and implement it quickly and accurately. We used a new,…

Purpose: Clinical supervision is a crucial workplace practice for professional learning and development. Research is needed to investigate in detail what happens in supervision to understand how this practice contributes to learning. This paper aims to examine how professionals work with knowledge and navigate epistemic challenges in working with…

Being aware of the progress towards one's goals is considered one of the main characteristics of the self-regulation process. This is also the case for collaborative problem solving, which invites group members to metacognitively monitor the progress with their goals and externalize it in social interactions while solving a problem. Monitoring…

The present study aims to investigate the problem-solving skills of the students getting professional music training. For this study, the problem-solving inventory was administered to participants from two different universities in Turkey. Participants' problem-solving skills were assessed in relation to the overall inventory and subscales, and…

This study aimed to portray insightful problem solvers. Participants solved classic insight problems and rebuses and completed cognitive and creativity tasks. Grouping the participants based on their success in solving insight problems of different modalities revealed that 95% of the spatial problem solvers succeeded in solving verbal ones…

In this study, the effects of STEM activities on the problem-solving skills of preschool children were investigated. A two-group (study: n = 18 and control: n = 18) pre-test/post-test/retention test experimental design was conducted to collected data using a researcher developed General Information Form and an established Problem-Solving Skills…

Despite substantial evidence for the link between an individual's intelligence and successful life outcomes, questions about what defines intelligence have remained the focus of heated dispute. The most common approach to understanding intelligence has been to investigate what performance on tests of intellect is and is not associated with. This…

For integrals consisting of rational functions of sine and cosine a set of little known rules known as the Bioche rules are considered. The rules, which consist of testing the differential form of the integral for invariance under one of three simple substitutions x [right arrow] -- x, [pi] -- x, and [pi] + x, allow one to decide which of the…

Many challenges are identified when students solve mathematic problems especially in solving probability word problems. This study was conducted to identify the major challenges faced by matriculation college students while solving the probability of an event word problem. Seven matriculation college students were the sample for this case study.…

Peers play an important role in an individual's learning via collaboration. This study examined three semesters worth of student data collected through collaborative exams in a calculus-based introductory physics course. Participants were asked 142 physics problems over two rounds, and they answered the problems first individually (first round)…

When participants engage twice in the same creative problem-solving task with educational robots, they have the possibility to repeat the same solution, allowing them to complete the task faster, or to show a creative intention and behavior, engaging them in developing a new solution. In this study, we aim to analyze the creative process…

Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently under-researched. In this paper, we…

This work reports the results of an investigation that aimed to know the informal reasoning of high school students with and about the frequency approach of probability and the law of large numbers when they were faced with a problem about random intervals. The research question was as follows: What features of students' reasoning about the…