The simple pendulum is a model for the linear oscillator. The usual mathematical treatment of the problem begins with a differential equation that one solves with the techniques of the differential calculus, a formal process that tends to obscure the physics. In this paper we begin with a kinematic description of the motion obtained by experiment…

The treatment of pendulum motion in early 18th century Newtonian textbooks is quite different to what we find in today's physics textbooks and is based on presuppositions and mathematical techniques which are not widely used today. In spite of a desire to present Newton's new philosophy of nature as found in his "Principia" 18th century textbook…

Galileo changed the very concepts or categories by which natural philosophy could deal with matter and motion. Central to these changes was his introduction of time as a fundamental concept. He worked with the pendulum and with the inclined plane to discover his new concept of motion. Both of these showed him that acceleration and time were…

It is argued that Galileo made an important breakthrough in the methodology of science by considering idealized models of phenomena such as free fall, swinging pendula and the like, which can conflict with experience. The idealized models are constructs largely by our reasoning processes applied to the theoretical situation at hand. On this view,…

Piaget's investigations into children's understanding of the laws governing the movement of a simple pendulum were first reported in 1955 as part of a report into how children's knowledge of the physical world changes during development. Chapter 4 of Inhelder & Piaget (1955/1958) entitled "The Oscillation of a Pendulum and the Operations of…

The scientific world-conception is properly understood as an enlightenment philosophy only if the current reassessment of the historical Vienna Circle(as opposed to the caricature still prevalent in the popular philosophical imagination) is once more extended to comprehend not only its thorough-going epistemological anti-foundationalism, but also…

This paper documents some of the "bad press" that Positivism has received in science education; it delineates the varied, and sometimes contradictory, ways in which educationalists characterize positivism; it indicates that Constructive shares the same philosophical commitments as the instrumentalist tradition in positivism; and it suggests that…

This essay is an updating of one that was published exactly two decades ago; in the intervening years there has been a revival of interest in positivism as a historical phenomenon in epistemology and philosophy of science (some references to which are given), but there also has been heightened awareness of the various weaknesses of the positivist…

Working from the 1970s to the early 1990s, Walter Alvarez and his research team sought the cause of the mass extinction that claimed the dinosaurs 65 million years ago. The present paper discusses that research in terms of eight puzzling observations, eight episodes of hypothetico-predictive reasoning, enumerative induction, and Jung's…

Mathematical theories are essential for explanations in physics, chemistry and engineering. These theories often incorporate functions that are defined by the irrelation to other variables in the theory but not with reference to experimental observations. The wave function in quantum mechanics is perhaps one of the best known example of such…

The dangers of pseudoscience--parapsychology, astrology,creationism, etc.--are widely criticized. Lessons in the history of science are often viewed as an educational remedy by conveying the nature of science. But such histories can be flawed. In particular, many stories romanticize scientists, inflate the drama of their discoveries,and…

According to Allchin (2003), Lawson (2002) tried to shoehorn the history of science into a preconceived philosophical category, the hypothetico-deductive method (HD).Lawson replied (2003) that discovery is based on HD because that's the way the brain works, and accused Allchin of shoehorning science into another method, blind search and induction.…

"The New Zealand Curriculum Framework", 1993, is the official document for teaching, learning and assessment in New Zealand schools. It consists of a set of curriculum statements, which define the learning principles, achievement aims and essential skills for seven learning areas. It also indicates the place of attitudes and values in the school…

The paper describes a discussion strategy for secondary school students. The strategy focus the various dimensions of Science, especially the internal sociological and philosophical dimensions. Students are expected to learn more about Science, namely the role of controversy for scientific progress. The article contains key questions for the…

This article reiterates the view that belief and knowledge can be conflated based on having a common form. The pedagogical advantage is that teachers are less likely to close off student discussions needed to help students develop an understanding of the characteristics and limitations of scientific knowledge. It is also less likely that a…