We analyze the mathematical solutions of 7- to 8-year-old pupils while individually solving an arithmetic problem. The analysis was based on the "configuration of objects," an instrument derived from the onto-semiotic approach to mathematical knowledge. Results are illustrated through a number of cases. From the analysis of mathematical…

The labels used to describe patterns and relations can influence children's relational reasoning. In this study, 62 preschoolers (M[subscript age] = 4.4 years) solved and described eight pattern abstraction problems (i.e., recreated the relation in a model pattern using novel materials). Some children were exposed to concrete labels (e.g.,…

Clients and practitioners alike are often confused about the ultimate purpose of action learning (AL). Because of the title of the method, many believe the primary goal of AL is to generate learning. This article clarifies the relationship between action, learning, and solutions. It also provides historical evidence to support the conclusion that…

Patterns are a ubiquitous phenomenon. They exist in nature's plant species emerging as a complete order from truncated matter. Patterns are also present in the fine arts where the aesthetic properties of form exist and conjugate through paintings and sculptures. Mathematical patterns, the focus of this position paper, dominate financial scenarios,…

This study was carried out with 44 students attending the Social Studies Education Department of Faculty of Education at Abant Izzet Baysal University, who chose the elective Media Literacy Course. In the study, that was planned as an action research, the assistant professor of the course acted as "researcher" and the students (teacher…

This paper explores students' ways of thinking about the average rate of change of a multivariable function and how they generalize those ways of thinking from rate of change of single-variable functions. I found that while students thought about the average rate of change of a multivariable function as the change in the independent quantity with…

Intelligent tutoring systems and computer aided learning environments aimed at developing problem solving produce large amounts of transactional data which make it a challenge for both researchers and educators to understand how students work within the environment. Researchers have modeled student-tutor interactions using complex networks in…

In today's technology enriched schools and workforces, creative problem-solving is involved in many aspects of a person's life. The educational systems of developed nations are designed to raise students who are creative and skillful in solving complex problems. Technology and the age of information require nations to develop generations of…

This study was designed to identify high school administrators' level of using scientific problem-solving techniques in organisational problems based on inspectors' views. The population of the study was the inspectors working in the city of Kirklareli in 2014-2015 school year. No sampling method was used since the whole population was reached…

There is a growing call for enhancing creativity in engineering education. However, research indicates that most higher education institutions still lack the needed criteria for providing students with real-world experience that will hone their creative problem solving skills. Creating such environments requires a deeper understanding of different…

This study investigated the effect of general creative personality and freedom of task choice on the social creativity of adolescents. The results indicated, first, that senior high school students scored higher than junior high school students. Second, girls scored higher than boys on originality, fluency, flexibility, appropriateness, and…

This study investigated 11 pre-service middle school teachers' solution strategies for exploring their knowledge of fraction division interpretations. Each participant solved six fraction division problems. The problems were organized into two sets: symbolic problems (involving numbers only) and contextual problems (involving measurement…

The literature on RTI has indicated that professional development and coaching are critical to facilitating problem-solving implementation with fidelity. This study examined the extent to which systems coaching related to the fidelity of problem-solving implementation in 31 schools from six districts. Schools participated in three years of a…

This research examined differences in beliefs about the acceptability of aggression and behavioral responses to aggression of preschool-aged children. Two groups, identified from teacher ratings, participated in the research. One group of children exhibited relationally aggressive behaviors, and a comparison group was identified with…

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…