A teacher-researcher searched for and defined theoretical principles in the literature that could be used as a basis for teaching high-school students who were struggling in mathematics (in a regular-level mathematics classroom) and could offer a framework to design tasks to encourage a problem-solving, thinking classroom. After identifying 13…

Euclidean geometry provides an opportunity for learners to learn argumentation and develop inductive and deductive reasoning. Despite the significance of Euclidean geometry for developing these skills, learner performance in mathematics, particularly geometry, remains a concern in many countries. Thus, the current study examined the nature of…

Self-knowledge is an important element of metacognition. It encompasses understanding one's own strengths and weaknesses and includes belief and self-assessment of one's capacity to perform a task. Cognitive skills comprise a range of mental processes, such as attention, memory, problem solving, systems thinking, abstract thinking, and critical…

The goal of the study is to analyse the relation between students' digital learning and transversal skills, as well as between students' digital learning and virtues. In the correlative study, 73 teachers of Class 12 of general education institutions participated, filling out a questionnaire in the Google Docs environment. As a result of the…

The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Creativity and creative problem-solving are seen as the most important components of education today. This situation reveals the need to identify students' creative problem-solving characteristics. This study, it was aimed to examine the creative problem-solving characteristics of gifted and non-gifted students in terms of giftedness diagnosis,…

The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students' mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric…

The objective of this research is to analyze the twelfth graders' mathematics critical thinking skills using a mathematics learning model to stimulate fundamental critical thinking abilities of science courses in SMA Negeri, Pacitan Regency, East Java Province, Indonesia. This quasi-experimental research design was used in this study with one…

The use of causal diagrams to externalize the mental representation of a problem is recognized to be an important step in solving complex problems. In geography education several global challenges taught about in class are highly complex due to the interconnectedness of many causes and consequences. A systems thinking approach might be helpful to…

Purpose: This study aimed to create a mobile serious game that incorporates a learning framework, particularly collaborative learning theory, to develop students' computational thinking skills. Methodology: Based on the framework of Brennan and Resnick, an adaptation was made within the context of a mobile serious game mapping the different…

The main aim of this research was to measure 10th and 12th grade students' biological conceptual understanding and competences through their upper secondary school studies. Data collection started at the beginning of the upper secondary school biology studies in the 10th grade. The same students participated in this research when they were in the…

The group work test is an assessment strategy that promotes higher-order thinking skills for solving context-rich problems. With this format, teachers are able to pose challenging, nuanced questions on a test, while providing the support weaker students need to get started and show their understanding. The test begins with a group discussion…

Research studies that deal with student ability to investigate and carry out inquiry oriented investigations often call for educational practitioners to pay particular attention to incorporating the skills of scientific inquiry in the process of teaching and learning. This has the aim of helping learners acquire the skills needed to become problem…

Prior research suggests that students' understanding of scientific concepts is pre-determined by their reasoning ability. Other efforts suggest that American students' scientific literacy is in decline. One difficulty Bybee (2009) acknowledges is that there are two divergent philosophical models of scientific literacy. The first describes the…