Existing research has revealed key factors influencing mathematical flexibility, defined as the capacity to understand, generate, and apply a variety of strategies in solving mathematical problems. However, there is currently a lack of an integrated theoretical framework to systematically consolidate various sources of individual differences in…

This systematic review of reviews is an exploratory study that aims to synthesize the myriad of reviews about Problem-Based Learning (PBL) to provide a consensus regarding the definition, components, effectiveness, and most common areas of application of PBL. This will provide educators and policymakers with a robust framework to enhance…

Mastering mathematics is often challenging for many students; however, the rise of artificial intelligence (AI) offers numerous advantages, including enhanced data analysis, automated feedback, and the potential for creating more interactive and engaging learning environments. Despite these benefits, there is a need for comprehensive reviews that…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Artificial intelligence (AI) literacy has emerged to equip students with digital skills for effective evaluation, communication, collaboration, and ethical use of AI in online, home, and workplace settings. Countries are increasingly developing AI curricula to support students' technological skills for future studies and careers. However, there is…

Complementing the aims of problem-based inquiry, a pedagogical approach called design thinking (DT) has students grapple with issues that require a creative redefinition and reimagining of solutions akin to professional skills of designers, who consider conflicting priorities and complex negotiations to arrive at a solution to an ill-defined…

After nearly two decades of federal and state accountability requirements relying on conventional standardized assessments, Virginia and several other states are moving to create more balanced approaches to statewide assessment systems that include the use of performance assessments. But Palm (2008) states, "Performance assessment can mean…

In many scientific contexts, students need to be able to use mathematical knowledge in order to engage in scientific reasoning and problem-solving, and their understanding of scientific concepts relies heavily on their ability to understand and use mathematics in often new or unfamiliar contexts. Not only do science students need high levels of…

The adoption of active learning instructional practices in college science, technology, engineering, and mathematics (STEM) courses has been shown to result in improvements in student learning, contribute to increased retention rates, and reduce the achievement gap among different student populations. Descriptions of active learning strategies…

This article analyses mathematical modelling from several different perspectives and contrasts modelling with problem solving. Then it describes the ways in which modelling, applications, and problem solving are approached in several Latin American countries. It further describes workshops for secondary schools and for university teachers in which…

Describes the current status and limitations of expert systems, and explores the possible applications of such systems in education and training. The use of expert systems as tutors, as job aids, and as a vehicle for students to develop their own expert systems on specific topics are discussed. (40 references) (CLB)

The meaning of critical thinking is discussed. Teachers should be able to separate what they mean by critical thinking, creative thinking, and practical thinking. By separating these meanings, teachers can better identify the components of critical thinking and improve their teaching. (RM)

This article describes an early childhood self-regulated metacognition program for underachieving gifted students. Teacher and peer modeling of such strategies as think-aloud, behavioral demonstration, and cuing of steps to efficient task accomplishment are outlined, with examples. Benefits of self-regulated learning strategies are reported from…

Among ways suggested for teaching problem solving strategies are to select problem situations appropriate to the learner and to encourage learning from errors. A problem solving process which can be used with young children includes the components of formulation; interpretation; generation; decision making; implementation; evaluation; and…

Discusses reasons for the lack of mathematical problem-solving skills among students at all levels. Examines the complex cognitive processes required for problem solving. Reviews theories about the problem-solving process and lists the cognitive skills and steps necessary for successful mathematical problem solving. (PAA)