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…

Developing preservice and inservice teachers' sociopolitical consciousness remains an important part of supporting the success of P-12 student experiences. The authors recognize that one way to enhance the sociopolitical consciousness aspect of culturally responsive pedagogy/teaching is through experiential opportunities that support teacher…

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…

This manual provides a comprehensive approach to problem solving; it is written in narrative style with numerous examples. The guide is organized in eight sections that cover the following topics: (1) problem-solving overview (with suggested readings and recommendations for schools); (2) a five-step model for solving problems; (3) strategies for…

This article describes the factors to which the classroom teacher needs to attend to enhance the mathematical problem-solving abilities of students. Emphasis is placed upon the means necessary to develop the attribute of being a problem solver, rather than focusing on the goal of becoming a problem solver. (JJK)

Six tips for increasing student problem-solving skills are offered in this teacher fact sheet. Puzzles and simulations matched to student mental maturity and general knowledge are recommended as activities for helping students think more flexibly and practice higher order thinking skills. In addition, four suggestions are given for controlling…

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)

Observes that most educators agree that an essential goal of education is the development of students who are effective problem solvers. Describes Problem Based Learning (PBL) environments where students act as professionals and confront problems as they occur. Outlines the stages of PBL and provides a bibliography for further reading. (DSK)

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)