"Media Clips" appears in every issue of "Mathematics Teacher," offering readers contemporary, authentic applications of quantitative reasoning based on print or electronic media. Based on "In All the Light We Cannot See" (2014), by Anthony Doerr, this article provides a brief trigonometry problem that was solved by…

A square chiliagonal number is a number which is simultaneously a chiliagonal number and a perfect square (just as the well-known square triangular number is both triangular and square). In this work, we determine which of the chiliagonal numbers are perfect squares and provide the indices of the corresponding chiliagonal numbers and square…

Help turn students into problem solvers. With lesson imaging, teachers anticipate how chosen activities will unfold in real time--what solutions, questions, and misconceptions students might have and how teachers can promote deeper reasoning. When lesson imaging occurs before instruction, students achieve lesson objectives more naturally and…

In this article, the authors emphasise the importance of purposeful mathematical discussion and using sequences of connected, cumulative, and challenging tasks in advancing students' spatial reasoning in the early years of schooling.

This paper describes a high school or introductory university course in scientific programming that introduces the computer revolution into the physics curriculum at the beginning. In the first one-hour lecture, Euler's method is presented and used to compute a solution to the analytically unsolvable two-body problem. In the remainder of the…

This article describes a lesson in which students will utilize ideation and engineering design to innovate a solution to a design problem using common household products.

With a growing number of global challenges related to the environment, water, public health, and energy, there is an imminent need to teach chemistry in the context of its interconnectedness with other systems. Project- and problem-based learning are student-centered learning approaches which offer educators the opportunity to engage learners in…

Understanding the concepts of quantum mechanics has always been a challenge for undergraduate students. This is especially so because many of the introductory (analytically solvable) systems and problems discussed in textbooks are seemingly abstract. Using approximate experimental demonstrations of such systems and problems have been shown to be…

Affect and mathematical competence are each multifaceted constructs. Accordingly, the studies in this Special Issue address multiple pathways between the two in young children. This commentary highlights the variability of these pathways and asks how affective variables are specifically related to core mathematical activities such as problem…

In order to be prepared for future college or careers, 21st century students should have critical thinking in their arsenal of soft skills. Most teachers and schools feel that critical thinking skills are important to teach, but unfortunately they have a lack of understanding of what critical thinking is and what strategies are best utilized to…

An escape-room-game activity was introduced to foster team building and collaborative learning in a laboratory-experiment setting. The students were placed in a laboratory with clues and puzzles that required the students to use a sequence of analytical instruments in the laboratory in order to escape. The instruments utilized included a UV-vis…

Strategies for teaching NMR spectral interpretation in the undergraduate organic chemistry curriculum are often faculty-centered and can lead to student reliance on rote memorization and "guess and check" methods rather than critical-thinking skills for structure determination. This article describes a student-focused methodology for the…

Walter Humphries and Kathryn Evans outline the aims of the new Welsh curriculum and demonstrate how neatly the Thinking Actively in a Social Context (TASC) problem-solving approach dovetails with the aims of the new 2015 curriculum for Welsh schools.

Recent advances in computer hardware and algorithms are spawning an explosive growth in the use of computer-based systems aimed at analyzing and ultimately correlating large amounts of experimental and synthetic data. As these machine learning tools become more widespread, it is becoming imperative that scientists and researchers become familiar…

The invention of the computer has led to the establishment of a new research paradigm, computation, which has recently become more and more popular in scientific exploration. However, computation is not well represented in high school and university curricula in science and engineering, although it applies to a wide range of disciplines beyond…