We generalize a standard example from precalculus and calculus texts to give a simple description in polar coordinates of any circle that passes through the origin. We discuss an occurrence of this formula in the context of medical imaging. (Contains 1 figure.)

The correlation between individual differences in working memory capacity and performance on the Raven's Advanced Progressive Matrices (RAPM) is well documented yet poorly understood. The present work proposes a new explanation: that the need to use a new combination of rules on RAPM problems drives the relation between performance and working…

Providing student choice and opportunities for independent study are recognized as viable differentiation techniques. Daily homework sets that contain more demanding problems even though not required allow the teacher to provide challenge without incurring undue stress. The modest incentive of some homework bonus points is enough to whet the…

This article outlines some of the factors leading to challenges in succeeding in college environments for individuals with autism spectrum disorders (ASD). Individuals with the intellectual ability to pursue postsecondary education still need individualized and ongoing supports from their families and others to ensure success. Social challenges…

It has been argued that to increase societal impact behavioral researchers must do more to address problems of obvious practical importance. The basic science wing of behavior analysis has been described as especially detached from this goal, but is it really necessary that basic science demonstrate social relevance? If so, why hasn't this…

In this article, the author describes the Launch-Explore-Summarize teaching model which provides a way to structure how students participated in tasks. Shifting the structure of lessons helped the author foster her desired mathematical environment. This approach to teaching was different for her in that it recommended giving students very little…

Discover the secrets contained in fossilized feces. Few topics in middle school classrooms capture students' enthusiasm and interest as do coprolites. These trace fossils offer classroom opportunities for integrated life and Earth sciences study, a stranger-than-fiction history of science, and an opportunity to solve mysteries. (Contains 8…

In this article, the author wishes to emphasize two fundamental points related to theory that were significantly underplayed in Simon et al.'s "A Developing Approach to Studying Students' Learning through Their Mathematical Activity" (2010). The author believes these points are central to any study of children's mathematical learning. The first…

In this article, the author describes an art project wherein students make fanciful connections between art and medicine. This project challenges students to interpret "ear idioms" (e.g. "blow it out your ear," "in one ear and out the other") by relying almost entirely on realistic ear drawings, the placement of them, marks, and values. In that…

Complex, systemic issues continue to challenge public services without respect for organisational and professional boundaries. In practice, collaborative working with others who have differing professional cultural norms and systems confront members with the need to learn about each other's values, priorities and practices. This paper explores the…

It is widely acknowledged that traditional teaching methods such as lectures, textbooks and case study techniques on their own are not adequate to improving the most in-demand employability skills for graduates. The aim of this article is to explore the potential impact that novel learning and teaching methods can have on improving the…

Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…

Using multitrait, multimethod data, and confirmatory factor analysis, the current study examined the effects of arithmetic item formatting and the possibility that across formats, abilities other than arithmetic may contribute to children's answers. Measurement hypotheses were guided by several leading theories of arithmetic cognition. With a…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

For the fortieth time, the Research and Theory Division of the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the annual AECT Convention in Jacksonville, Florida. The Proceedings of AECT's Convention are published in two volumes.…