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…

The NGSS MS-ETS1 Engineering Design (1-4) is the focus of the article. Development of a challenging problem-based activity that is an improvement over the traditional egg drop competition is emphasized. Quantification of data collected and real-world relevance are two activity components that are viewed as improvements over the egg drop. The…

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…

This study describes the problem solving behaviour of bilingual (German - Turkish) primary school students, their approaches and preferences while solving the word problems. Four different types of mathematical word problems (combinations, movement, subtraction and addiction) were given successively to four pupils (one girl and three boys) and…

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…

The term "polymath" refers to a person whose expertise approaches different subject areas, to rely on complex packages of knowledge for solving problems. Famous polymaths from history include Galileo Galilei, Leonardo da Vinci, Mozart, and Albert Einstein; individuals that have impacted science, arts, humanities, and our society for…

This article presents a culturally situated and socially relevant lesson for intentionally teaching secondary students the fundamental engineering concepts related to Problem Framing and Project Management. This lesson includes: (1) class discussions to engage students in a socially relevant problem (food waste and sustainability) within a…

Mathematical modeling, a key strand in mathematics, engages students in rich, authentic, exciting, and culturally relevant problems and connects abstract mathematics to the surrounding world. In this, article, the authors describe a modeling activity that can be used when teaching linear equations. Modeling problems, in general, are typically high…

Overseeing the operations of a college and/or district combines the elements of a financial wizard, a logistics magician, a political demagogue, a Baptist preacher, and a prognosticating soothsayer. It's particularly challenging for new CEOs. This paper offers advice for such new CEOs and for those just interested in a shared perspective. Topics…

This article addresses the impact of accelerated technological development on the world of work, the main characteristics of the new expected generation of workers (Generation Z), and the unique demands placed on educational systems. The educational systems must adapt to society's expectations in the 21st century to remain relevant in a world with…

The International Technology and Engineering Educators Association's (ITEEA's) "Standards for Technological and Engineering Literacy" ("STEL") describes design thinking as an approach that allows students and educators to integrate other content areas by considering relevant contextual information to guide design and making…

The significant global challenges faced in the world today require innovative solutions and creative thinking. In traditional postsecondary education, technical programs such as engineering often focus on technical competencies as opposed to creative thinking. However, as industry demands for creative technical employees continue to increase,…