Pedagogical content knowledge (PCK) has been described as an assemblage of the most powerful analogies, demonstrations, examples and illustrations that make content knowledge understandable to students, together with an understanding of the preconceptions and alternate conceptions that students bring with them to the classroom (Shulman, 1986). In…

This study explored the influence of a Saturday Science program that used explicit reflective instruction through contextualized and decontextualized guided and authentic inquiry on K-2 students' views of nature of science (NOS). The six-week program ran for 2.5 hours weekly and emphasized NOS in a variety of science content areas, culminating in…

There have been substantial reform efforts in science education to improve students' understandings of science and its processes and provide continual support for students becoming scientifically literate (American Association for the Advancement of Science in Benchmarks for science literacy, Oxford University Press, New York, 1993; "National…

Working at scientists' elbows is one suggestion that educators make to improve science education, because such "authentic experiences" provide students with various types of science knowledge. However, there is an ongoing debate in the literature about the assumption that authentic science activities can enhance students' understandings…

Selection bias is a problem for mathematics education researchers interested in using observational rather than experimental data to make causal inferences about the effects of different instructional methods in mathematics on student outcomes. Propensity score methods represent 1 approach to dealing with such selection bias. This article…

This article presents a simple activity using Archimedes' principle that helps students to develop their scientific thinking and also to identify and correct their misconceptions. The exercise consists of linear and reverse processes.

An introductory approach to black holes is presented along with astronomical observational data pertaining to the presence of a supermassive black hole at the center of our galaxy. Concepts of conservation of energy and Kepler's third law are employed so students can apply formulas from their physics class to determine the mass of the black hole…

When a ball bounces elastically against a floor, the vertical component (v[subscript y]) of the velocity of the ball's mass-center changes sign. This is a special case of the elastic collision of two balls (i.e., two objects, neither of which is much more massive than the other), in which case the balls' post-collision relative velocity (=…

On Dec. 27, 2006, we drove with our children and their families to a cabin we rented on the grounds of the "YMCA of the Rockies" in Estes Park, CO, for a few days of winter relaxation and recreation. On the night of the 27th a snowstorm dropped over half a meter of new snow, creating a beautiful winter wonderland. For the next couple of days the…

We have found that a simple demonstration experiment using a match or a cotton swab and a drinking straw or an acrylic pipe serves as an effective introduction to dynamics. The most basic apparatus has a cotton swab serving as a dart and the straw as the blowgun. When blown from a starting point near the exit end of the straw, the cotton swab does…

The popular physics demonstration experiment known as Thomson's Jumping Ring (JR) has been variously explained as a simple example of Lenz's law, or as the result of a phase shift of the ring current relative to the induced emf. The failure of the first-quadrant Lenz's law explanation is shown by the time the ring takes to jump and by levitation.…

Like many readers of this journal, I have long been an advocate of having science students introduced to philosophy of science. In particular, influenced by the Philosophy for Children movement founded by Matthew Lipman, I have advocated such an introduction as early as possible and have championed early secondary school as an appropriate place.…

Freud saw the dream as occupying a very important position in his theoretical model. If there were to be problems with his theoretical account of the dream then this would impinge upon proposed therapy and, of course, education as the right balance between the instincts and the institution of culture. Wittgenstein, whilst stating that Freud was…

A spectroscopic experiment is presented that reveals that the hydrophobically end-modified water-soluble polymeric fluorophore, pyrene end-capped poly(ethylene oxide) (PYPY), interacts differently with [alpha], [beta], and [gamma]-cyclodextrins (CD) to form supramolecular inclusion complexes. The emission spectrum of PYPY in aqueous solution shows…

Orbital exponent optimization in the elementary ab-initio VB calculation of the ground states of H[subscript 2][superscript +], H[subscript 2], He[subscript 2][superscript +], He[subscript 2] gives a fair description of the exchange-overlap component of the interatomic interaction that is important in the bond region. Correct bond lengths and…