The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…

Escape rooms are "live-action team-based games where players discover clues, solve puzzles, and accomplish tasks in one or more rooms in order to accomplish a specific goal (usually escaping from the room) in a limited amount of time." Escape Rooms are one type of Escape Game, which are narrative-based challenges that use puzzles, tasks,…

The radius of curvature formula is usually introduced in a university calculus course. Its proof is not included in most high school calculus courses and even some first-year university calculus courses because many students find the calculus used difficult (see Larson, Hostetler and Edwards, 2007, pp. 870- 872). Fortunately, there is an easier…

Fluorescence spectroscopy experiments are a frequently taught as part of upper-division teaching laboratories. To expose undergraduate students to an applied fluorescence technique, a corrosion detection method, using quenching, was adapted from authentic research for an instrumental analysis laboratory. In the experiment, students acquire…

The authors describe how the Monty Hall Dilemma, a well-known choice anomaly, can be demonstrated with a simple and versatile classroom experiment. In addition to demonstrating the anomaly, the experiment can be used to introduce students to some institutional modifications that have been shown to ameliorate it. This experiment, which can be…

One of the foundational topics in first-year algebra concerns the concept of factoring. This article discusses an alternative strategy for factoring quadratics of the form ax[superscript 2] + bx + c, known as "factoring for roots." This strategy enables students to extend the knowledge they used when the leading coefficient was 1 and…

Students learn mathematics by solving problems. Mathematics textbooks are full of problems, and mathematics teachers use these problems to test students' understanding of mathematical concepts. This paper discusses how problem-solving skills can be fostered with a geometric tiling problem.

Research is beneficial for student learning in undergraduate curricula. Undergraduate students who actively participate in research develop problem solving skills and learn to think independently. However, with limited faculty resources at many universities, only elite undergraduate students participate in research programs. This paper provides a…

Molecular orbital configurations give rise to electronic terms comprising corresponding electronic states. Electronic terms possess symmetry classifications, which are denoted by a term symbol, based on the symmetry properties of the electronic wave functions associated with the states. Using the methylene radical, and both planar and twisted…

Situated Learning takes place in the social and physical context within which it will be used. In this model, the pupil is "situated" in the learning experience and knowledge acquisition becomes a part of their learning activity. From their experiences pupils "construct" their own knowledge in various learning situations. The…

The central objective of Dewey's Democracy and Education is to explain 'what is needed to live a meaningful life and how can education contribute?' While most acquainted with Dewey's educational philosophy know that 'experience' plays a central role, the role of 'situations' may be less familiar or understood. This essay explains why 'situation'…

This article examines the work of 30 in-service teachers engaged with modelling activities during a course within an Ecuadorian master's degree program in mathematics teaching. These teachers experienced a sequence of activities designed to explore imaginative aspects of mathematical modelling and problem solving, inviting perspectives from life…

Numerous studies have shown that mathematical knowledge is situational, meaning that students' abilities to transfer and apply skills depends on the conditions in which they were learned (Barab 1999; Boaler 2002, 2016). Given that the real world seldom presents problems that are confined to a single discipline (Barab 1999), it is imperative that…

This study aimed to determine STEM practices assisted by argumentation-based learning, the attitudes and the opinions of the students towards STEM, their perception of problem-solving skills and the argumentation qualifications. In the research, the mixed design has been implemented. The quasi-experimental design with pre-test and post-test…