The nature and cause of the phases of the moon are widely misunderstood. Perhaps the problem is a general decline in scientific literacy, or maybe it is the loss of direct and regular observation of the moon in society generally. Many people do not see the moon as a half-illuminated sphere. Adults are often surprised to realize that the moon can…

Students have difficulty bridging the conceptual gap between Newtonian and relativistic physics, and, consequently, the teaching of special relativity has been discussed extensively in the literature. A comprehensive list of such references is too large to include, but a brief list is given. In this paper, the author presents several exercises,…

Science labs should promote reasoning that resembles the work that scientists do. However, this is often not the case. We present a lab in which students strive to find out which of two models best describes a physics experiment. The quantification of measurement uncertainties--another topic that is often neglected in high school…

The key difference between math as math and math in science is that in science we blend our physical knowledge with our knowledge of math. This blending changes the way we put meaning to math and even the way we interpret mathematical equations. Learning to think about physics with math instead of just calculating involves a number of general…

As students learn physics, they are often required to reason about the behavior of macroscopic and microscopic phenomena, and to synthesize prior knowledge from several different areas of physics to construct understanding of new ideas. This can be a tremendously difficult cognitive task for novice students, especially when the unfamiliar…

The preschool level is often the first formal opportunity for children to experience science. There are many examples of appropriate experiments and scientific experiences aimed at young children, both in Mexico and around the world. Even the formal public preschool program in Mexico includes sections called Academic Training Topics, one of which…

Moments of inertia (MOIs) are usually derived via substantial integration and may intimidate undergraduates without prior backgrounds in calculus. This paper presents an intuitive geometric operation, termed "squashing," that transforms an object into an equivalent one with a reduced dimension, whose MOI is simpler to determine. The…

A primary goal of general education introductory astronomy courses often is to provide students with examples of how science is actually done. Low to nonexistent mathematical prerequisites in some courses can make useful exercises difficult to find, and sometimes very difficult for students, especially if the exercises feature quantitative…

We constructed a low-cost experimental kit consisting of a compact 532-nm diode laser, optics, and optomechanical components that arrange on a small honeycomb breadboard. The kit is flexible enough to construct five typical wave optic experiments, e.g., double-slit interference, Michelson and Mach-Zehnder interferometers, diffraction, and Malus's…

Before students learn Kirchhoff's rules, they are typically taught how to solve "combined series-parallel" circuits. The method presented in many textbooks begins by drawing a series of simplified circuits, replacing series and/or parallel elements with their equivalent resistances, eventually reducing the circuit to a voltage source and…

It is common for high school physics teachers to comment on the challenges they face in supporting students' graph drawing skills, knowing their importance for the study of physics. This paper suggests a novel and alternative way to support students to develop their graph drawing skills as well as teach them about sound, frequency, and amplitude.…

Many introductory physics courses begin with the teaching of motion and kinematics. This naturally leads to the use of constant acceleration equations to solve various problems involving common motions (free fall being a notable example). Students can sometimes get the impression that these equations are the only thing they need to remember in…

Traditional high school physics instruction often comes across as a mere extension of the mathematics classroom to many of our students. Solving numerical physics problems using structures such as the GUESS method (given, unknown, equation, substitute, solve) doesn't help students with conceptual understanding. With the advent of physics education…

An attempt to calibrate a conventional oven led to making a measurement of a thermophysical property of water using items found in the author's home. Specifically, the ratio of the energy required to heat water from the melting point to boiling to the energy required to completely boil away the water is found to be 5.7. This may be compared to the…

The Tasks Inspired by Physics Education Research (TIPERS) workbooks pose questions in styles quite different from the end-of-chapter problems that those of us of a certain age were assigned back in the days before Netscape. My own spin on TIPERS is not just to do them on paper, but to have students set up the situations in the laboratory to…