This paper examined the ability of students to pose a problem in a free posing situation about sets in terms of the problem text, compatibility with mathematics principles, the problem type and structure, solvability, and mathematical complexity. Additionally, students were probed to determine the difficulties they encountered during the problem…

The level of arithmetic knowledge of a high school student was explored when solving additive word problems considering the semantic structure and syntactic component. The methodology was qualitative and developed in four stages: the first is the selection of the participant, the second is the design of a questionnaire with twenty additive…

Teaching is a process for which its plan should contain reflection onto previous experience. With that in mind, teaching situations should be continuously researched and improved in accordance with the research results. Led by this thought and the fact that students are uncritically using visualization to solve mathematical problems, we defined…

In this paper, we consider the issues involved in creating appropriate problems for a popular mathematics competition, and how such problems differ from problems typically encountered in a classroom. We discuss the differences and similarities in school curricula versus the generally agreed upon topics encountered in international competitions.…

Self-regulated learning (SRL) represents a necessary fundamental 21st century skill for children and adolescents and is essential for the development of gifted students. This study explored mathematically gifted (MG) junior high school students' SRL capabilities while solving mathematical problems compared to typical achievers (TAs). A sample of…

Escape rooms are collaborative puzzle solving activities that require the participants to utilize logical reasoning and teamwork. With a slight refocusing on previously acquired knowledge, escape rooms can also be used to test and promote learning of certain topics. This paper describes the development of a one-hour in-person STEM focused escape…

Attention-based learning tasks of modern classrooms require processing of information in working memory. Not much is known about the cognitive processes operating during these tasks. To gain an understanding of the processes that support cognitive functions like learning, we have monitored the activity of the brain waves emanating from the frontal…

This article provides insights into Grade 11 learner understanding of the roots of quadratic equations, how learners used solution strategies to find equations with given roots, how they determine the unknown values and the other root when one root is given and how they determine the unknown values when two roots of the equation are given. The…

Solving a novel problem has recently garnered some attention as a viable alternative to traditional explicit instruction in the preparation of students for learning. This study investigated the effectiveness of introducing problem-solving tasks and worked examples prior to explicit instruction, along with the use of contrast, for gifted and…

Work and mechanical energy is a fundamental topic in introductory physics. Studies in existing literature have shown that students have difficulties in understanding work and mechanical energy, particularly the topic of work-energy theorem. To study students' knowledge integration in learning work and mechanical energy, a conceptual framework…

Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students' problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems in mathematics and…

The purposes of the research were to: (1) create a scientific creativity measure for high school students; (2) examine the quality of the science creativity scale of the created test; (3) establish a benchmark for scientific creativity scores for high school students; and (4) study a scientific creativity level of students in the senior high…

Spatial thinking is a crucial aspect of geography education with which all citizens should be equipped. This study employs eye-tracking technology to research strategies (their repertoire, distribution, effectiveness, and adaptiveness) used by upper-secondary students when analyzing spatial patterns with thematic maps. The results show that…

An inequality concept has an important role; even in advanced mathematics, inequality assists in analysis and proof. However, students' understanding of inequality is not satisfying. The fact shows that students experience difficulties and errors in solving inequality problems. These difficulties and errors are not intentional or do not result…

Mathematical resilience is a student's ability to survive and be positive when facing difficulties and anxiety in learning mathematics as indicated by the ability to work collaboratively with groups, and have language skills to communicate mathematical understanding. Learning mathematics online caused various negative conditions for students;…