Idiograms are graphical representations in which chromosomes appear ordered by their relative size, homology groups, and the presence of cytogenetic landmarks such as centromeres, secondary constrictions, and banding patterns. They have become crucial elements in cytogenetic research. Here, we describe a simple protocol for spreadsheet software to…

An individual harmonic wave (i.e., having a single frequency and wavelength over all time and space) traveling in a loss-free medium has a single constant speed, which is equal to the magnitude of the phase velocity of the wave. However, when a set of different harmonic waves are traveling in the same direction, they interfere to form wave…

Enzymes are nature's catalysts, mediating chemical processes in living systems. The study of enzyme function and mechanism includes defining the maximum catalytic rate and affinity for substrate/s (among other factors), referred to as enzyme kinetics. Enzyme kinetics is a staple of biochemistry curricula and other disciplines, from molecular and…

The widespread occurrence of flooding and the fact that both precipitation data and river flow data are readily available for many locations provides an excellent opportunity for educators to bring relevant professionally collected data into their teaching. By connecting those data to the use of models, students can collect, interpret, and…

In this work, we present an experimental approximation to the study of the phenomenon of radioactivity in secondary schools, taking as an analogy the process of release of carbon dioxide in a carbonated beverage. In this way, we intend to facilitate the approach to the mathematical formalism and to the graphical description of this phenomenon, as…

The ideal gas law, "PV = nRT," is one of the simplest physical laws in nature that is introduced to students as early as in high school and first year in college. In this equation, "P" stands for pressure, "V" is the volume, "n" is the amount expressed in mole, "T" is the temperature in Kelvin…

Reading and understanding scientific literature is an essential skill for any scientist to learn. While students' scientific literacy can be improved by reading research articles, an article's technical language and structure can hinder students' understanding of the scientific material. Furthermore, many students struggle with interpreting graphs…

Two well-regarded measurements for the expansion rate of the universe disagree, leaving cosmologists very puzzled. It may be that something large has been overlooked in our theory of the Big Bang. This discrepancy is called the Hubble tension and it has led to a very interesting conversation within the cosmology community.

Using a joystick module, we followed the movement of a chaotic magnetic pendulum. The pendulum bar was attached to a joystick that served as a pivot point and biaxial angular motion sensor. Using an Arduino board, we could follow the position as a function of time along both the "x" and "y"-axis and draw a graph showing the…

This manuscript is meant to support secondary school teachers in their constant effort to find novel ways to engage students. Adolescents seem particularly stimulated by time-travelling scenarios, like the famous "wormhole billiard ball paradox" proposed by J. Polchinski in 1990, which are usually solved through closed time-like curves…

It's not surprising that rainbows have received a great deal of attention: in textbooks, in magazines, and on the web. They are, after all, beautiful, fascinating, occasionally awe-inspiring, even a little mysterious. They are an almost perfect blend of natural beauty and simple physics. Has everything that can be said about rainbows already been…

Integration of content areas allows students to deepen and transfer knowledge. An area that allows for an organic integration of STEM content is through combining mathematics with science instruction. This paper describes how we integrated a lesson coupling flower structure with data representation in a Year 3 classroom. The lesson occurred over…

The action of hammering a nail into wood is examined in terms of the force, momentum and energy required. Some unexpected experimental results are also presented.

One way to develop a cross-curricular lesson is to select the most common mathematical formulas used in science and carefully develop and implement tasks that allow students to make connections between the mathematical representations and theoretical/physical science concepts. The slope-intercept formula, which is used to study relationships…

A significant goal when teaching at the secondary education level is to present the generality of the procedures that are being used to describe a wide range of different physical phenomena. However, this approach is abandoned by physics instructors in many cases since the general mathematical background needed to present the above generality is…