The ability to think analytically is vital in today's world. In an era defined by rapid technological advancements, economic globalization and societal complexities, analytical thinking skills are paramount to career success. Analytical thinking has been conceptualized and defined in a variety of ways, reflecting its multifaceted nature and the…

Computational thinking has been popularized in the last decade, particularly with the emphasis on coding education in K-12 schools. The core idea of computational thinking has a close relationship with technology and engineering education (TEE). TEE has emphasized the use of computing skills to solve problems, and integrative STEM education…

Purpose: Learning mathematics is a complex process, requiring many conceptual lenses and rich data sources to document and understand students' construction of knowledge. The purpose of this article is both to introduce a unique database on students' mathematical learning and to describe analytical techniques used to study students' growth of the…

Computational thinking (CT) is regarded as an essential twenty-first century competency and it is already embedded in K-12 curricula across the globe. However, research on assessing CT has lagged, with few assessments being implemented and validated. Moreover, there is a lack of systematic grouping of CT assessments. This scoping review examines…

In this study, we analyzed and compared reasoning and proving opportunities in geometry lessons from American standard-based textbooks and Korean textbooks to understand how these textbooks provide student opportunities to engage in reasoning and proving activities. Overall, around 40% of exercise problems in Core Plus Mathematics Project (CPMP)…

Computational thinking (CT) uses concepts that are essential to computing and information science to solve problems, design and evaluate complex systems, and understand human reasoning and behavior. This way of thinking has important implications in computer sciences as well as in almost every other field. Therefore, we contend that CT should be…

Quantitative literacy has been recognized as an important skill in the higher education and workforce communities, focusing on problem solving, reasoning, and real-world application. As a result, there is a need by various stakeholders in higher education and workforce communities to evaluate whether college students receive sufficient training on…

One of the best tools for sharpening students' problem solving skills can be found in the mystery story, which calls for logical thinking, paying attention to detail, and distinguishing between facts and assumptions. Activities that can help to develop problem solving skills are described along with several references to mystery magazines and…

Three mathematical problems are discussed to point out the need to use problems with more than one solution, but at least one readily available solution. As well as encouraging logical thinking, problems should involve pattern recognition and the generation of guesses to be tested. (MNS)

To develop scientific thinking in students, the history of science should be integrated in school curricula. This would present conflicting theories, within and outside of science, that would help to develop the students' abilities to compare and criticize. (CJ)

An eight-phase model of processes involved in mathematics problem solving is presented. At each phase, results from factor-analytic studies are used to suggest abilities relevant and prerequisite for successful completion of the phase. Presentation of the model is followed by a discussion of implications for teaching and research. (Author/MK)

Describes characteristics of successful problem solvers and reports programs at all educational levels designed to help students improve their skills. (Author/MLF)

Discusses differences between young peoples' perspectives of the social world and those offered by social science. Summarizes the economic thinking of young people and argues that economics presents students with an important perspective for social analysis. Provides three "economic mysteries" that introduce economic principles into the classroom.…

Describes a cognitive-skills approach to teaching physics, Spanish, and philosophy. The approach relies on students verbalizing their thinking as they solve problems. (IRT)

Since thinking is most often performed in problem-solving situations, teachers can become observers by providing situations in which students can practice and demonstrate intelligent behaviors. Some indicators include: perseverance, precision of language, problem finding, decreased impulsivity, metacognition, checking for accuracy, transference,…