Because creativity is an essential 21st century skill that must be developed in gifted and talented student populations, it is important for gifted and talented programs to nurture mathematical creativity. To shed light on this topic, this article explores three questions: What is mathematical creativity? How can we develop students' mathematical…

Action research, one of the requirements in undergraduate program in education, is a systematic approach that enables teachers to solve problems they face in their classes on a daily basis. Participants in this study are students in their final semester of a three-year teacher preparation program and graduates in their first-year teaching. The…

Peer feedback has been suggested as an avenue to leverage students as partners in their own learning and assessment across many disciplines. However, successful implementation of peer feedback activities may prove challenging if students believe that feedback requires more objective expertise than they possess. Summarizing participant…

The purpose of this study was to determine the effect of Think Pair Share (TPS) learning models with problem solving approaches. The approach used in this research is a qualitative approach with the type of experimental research "The effect of Think Pair Share (TPS) learning model with problem solving approach to students' mathematical…

Laying the foundation for future-ready skills can begin in early childhood. In a changing world, such preparation means engaging students in a different, more relevant manner.

This paper explores how problem solving is approached in two 6th grade mathematics textbooks and national elementary mathematics curriculum in Turkey. The curriculum and textbooks' problem solving approaches are analysed and compared in the light of three approaches of 'teaching "for," "about" and "through" problem…

This paper reports a systematic literature review of the balance model, an often-used aid to teach linear equations. The purpose of the review was to report "why" such a model is used, "what" types of models are used, and "when" they are used. In total, 34 peer-reviewed journal articles were analyzed, resulting in a…

Symmetry and invariance play a fundamental role in modern physics and related disciplines, and students entering a STEM field need practice with symmetry-based arguments as part of the preparation for their future careers. We refer to symmetry based solutions as those that either make use of the existing geometric symmetry in a problem to simplify…

In Mexico there is a complicated situation regarding the subject of mathematics, especially in the high school students who have shown low performance in the results of the tests applied by international and national organizations. Therefore, the aim of the study is focuses on testing whether the variables of the scale proposed by Fennema and…

The Birthday Paradox problem can be investigated either with a carefully constructed spreadsheet (for greatest precision) or a calculator process (for reasonable precision). A number of ways of approaching this problem as a class activity are provided.

The purpose of this study was to examine how learners' problem-solving approaches and success changed from high school to graduate school. This case study included 15 participants who were purposefully selected regarding their grade levels. To examine the development, we asked three algorithmic questions and three problems, which were different…

Current problem-solving research has advanced our understanding of the problem-solving process but has provided little advice on how to teach problem-solving skills. In addition, literature reveals that individual difference is an essential issue in problem-solving skills instruction but has been rarely addressed in current research. Building upon…

Meta-reasoning refers to processes by which people monitor problem-solving activities and regulate effort investment. Solving is hypothesized to begin with an initial Judgment of Solvability (iJOS)--the solver's first impression as to whether the problem is solvable--which guides solving attempts. Meta-reasoning research has largely neglected…

Evidence-based medicine (EBM) has been the subject of controversy since it was introduced in 1992. However, it has yet to be critically examined as an alternative paradigm for medical education, which is how it was proposed. This commentary examines EBM on the terms on which it was originally advanced and within the context that gave rise to it,…

When incorporating the environment into mental processing (cf., "cognitive offloading"), one creates novel cognitive strategies that have the potential to improve task performance. Improved performance can, for example, mean faster problem solving, more accurate solutions, or even higher grades at university. Although cognitive…