Developing good record-keeping habits is essential for organizing, processing, and communicating experimental results objectively. Therefore, the authors designed an interactive method of teaching first graders to record, organize, and interpret data as they studied the life cycle of the spotted salamander ("Ambystoma maculatum"). In their…

In one of the classic free-fall experiments, a small mass is attached to a strip of paper tape and both are allowed to fall through a spark timer, where sparks are generated at regular time intervals. Students analyze marks (dots) left on the tape by the timer, thereby generating distance-versus-time data, which they analyze to extract the…

We discuss the introduction and teaching of partial differential equations (heat and wave equations) via modeling physical phenomena, using a new approach that encompasses constructing difference equations and implementing these in a spreadsheet, numerically solving the partial differential equations using the numerical differential equation…

In this note, we demonstrate with illustrations two different ways that MS Excel can be used to solve Linear Systems of Equation, Linear Programming Problems, and Matrix Inversion Problems. The advantage of using MS Excel is its availability and transparency (the user is responsible for most of the details of how a problem is solved). Further, we…

This article compares marriage patterns by race, education and religion in the United States during the 20th century, using a variety of data sources. The comparative approach allows several general conclusions. First, racial endogamy has declined sharply over the 20th century, but race is still the most powerful division in the marriage market.…

Over the last decade or so, faculty in a wide range of disciplines have become more interested in and open to the scholarship of teaching and learning. That scholarship has taken many forms, including personal accounts of experimentation and change, descriptions of recommended practices, and quantitative research on students' gains. In this…

This article suggests a graphic technique that uses P-P plots to show the extent to which two groups differ on two variables. It can be used even if the variables are measured in completely different, noncomparable units. The comparison is symmetric with respect to the variables and the groups. It reflects the differences between the groups over…

Reporting effect size plays an integral role in educational and psychological research and is required by many journals. Certainly, the best-known measure of effect size is Cohen's d, which represents a substantial improvement over using p values. But Cohen's d is known to suffer from some fundamental concerns. The author's goal was to illustrate…

We introduce resource graphs, a representation of linked ideas used when reasoning about specific contexts in physics. Our model is consistent with previous descriptions of coordination classes and resources. It represents mesoscopic scales that are neither knowledge-in-pieces nor large-scale concepts. We use resource graphs to describe several…

Curriculum materials designed to provide students with practice interpreting plotted evidence of global climate change were developed using graphs from the scientific literature and tested with one hundred urban high school students from a high-poverty school in a major northern city in the US. The graph interpretation lessons followed a…

With the development of e-learning technology, many specifications of instructional design have been proposed to make learning activity sharable and reusable. With the specifications and sufficient learning resources, the researches further focus on how to provide learners more appropriate learning activities to improve their learning performance.…

In early 2008 researchers from the University of Melbourne's "New Technologies for Teaching Mathematics" project created a lesson for the Year 10 students at their Victorian research schools. Two important goals of secondary school mathematics education are to build students' conceptual knowledge and to teach students to think…

The purpose of this paper is to present evidence supporting the conjecture that graphs and gestures may function in different capacities depending on whether they are used to develop an algorithm or whether they extend or apply a previously developed algorithm in a new context. I illustrate these ideas using an example from undergraduate…

This paper, the first of a two-part article, follows the trail in history of the development of a graphical representation of the complex roots of a function. Root calculation and root representation are traced through millennia, including the development of the notion of complex numbers and subsequent graphical representation thereof. The…

Most of the research on bargaining has focused on individuals bargaining against other individuals. This paper discusses two experiments in which the bargaining processes and outcomes of bargaining teams were compared to those of individual bargainers. Individuals bargained against a single other in the first experiment, while a two-person team…