Broad exploration is often the best way to solve complex problems because the best solution might not come to mind first. Consequently, creative thinking, like simulated annealing, begins with a "hot" exploratory phase of broad solution search and gradually "cools" to exploitation and narrowing the search space. In solving…

Context: Students with special educational needs in the area of learning (SEN-L) attend vocational trainings to be provided with qualifications for the labor market. Competences in arithmetic operations and comparing quantities such as weights and lengths are indispensable for obtaining a vocational qualification. Therefore, the study investigates…

This study aims to determine the relationship between middle school students' innovative thinking tendencies and entrepreneurial skills and to identify the variables that predict entrepreneurial skill. To this end, the study used the correlational survey method. The study group consists of 274 5th-, 6th-, and 7th-graders studying in 3 middle…

Distance education programs have become the preferred option for most higher education institutions to continue teaching during the COVID-19 pandemic, but the effectiveness of some online courses, especially those engineering courses with experimentation activities, remains disputed. The main challenge is fostering collaborative problem solving…

The Remote Associates Test (RAT) is a word association retrieval task that consists of a series of problems, each with three seemingly unrelated prompt words. The subject is asked to produce a single word that is related to all three prompt words. In this paper, we provide support for a theory in which the RAT assesses a person's ability to…

While patterning was commonly seen as evidence of mathematical thinking, interdisciplinary interest has recently increased due to pattern-recognition applications in artificial intelligence. Within two empirical studies, we analyze the analogical-transfer capability of primary school students when completing three types of bi-dimensional patterns,…

This study examined the role of student generated drawings to offload cognitive demands of a mathematical problem. We used Unit Transformation Graphs to compare students' thought processes when they had to solve the problem mentally, and when they were allowed to use pen and paper. The results indicated that the possibility to rely on drawings…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

Self-regulated learning (SRL) has been linked to improved learning and corresponding learning outcomes. However, there is a need for more precise insights into how SRL during learning contributes to specific learning outcomes. We operationalised four learning outcomes that varied on two dimensions: structure/connectedness and level/deepness of…

This study aimed to determine the effect of cognitive and affective factors on the performance of prospective mathematics teachers. Cognitive factors include cognitive independence level and working memory capacity, while affective factor include math anxiety. Mathematical performance was then assessed as basic math skills, advanced math skills…

Object-oriented programming distinguishes between instance attributes and methods and class attributes and methods, annotated by the "static" modifier. Novices encounter difficulty understanding the means and implications of "static" attributes and methods. The paper has two outcomes: (a) a detailed classification of aspects of…

Problem solving is often regarded as one of the most essential cognitive functions in our daily lives, and, for that reason, educational theorists have long stressed the need for its development. As cognitive flexibility is a fundamental characteristic necessary throughout the problem-solving process, the purpose of this study is to analyse…

This study aims to analyze the impact of cognitive flexibility and classroom engagement levels on high school students' creative problem-solving skills. The participants are 341 tenth grade students from three different high schools, along with nine mathematics teachers who have been teaching these students for at least two years. Data analysis…

This study aims to prepare statistics activity-targeting comprehension of the arithmetic mean, consisting of worked-out example explanations through ChatGPT for sixth graders; determine situations encountered during the implementation of the activity; ascertain the effect of the activity on students' mathematics problem-solving performance; and…

In this paper, I have argued that Flower and Hayes' (1981) Cognitive Process Theory of Writing might be enriched by the insights that derive from Simon's (1969) understanding of artifice as an element of the environment and from Todd and Gigerenzer's (2007) construct of ecological rationality. I have used Simon's parable of the ant to explain the…