Provides a history on the origin of the radian and other units of angular measure including the mil and the grade or grad. (MVL)

This article provides three examples from elementary calculus concerning the use of the long ago popular method of parametric differentiation as an alternative form of solution. Included are a partial fraction decomposition, an indefinite integral solution, and an integration by parts. (JJK)

Investigates how children interpret lexical ambiguity in written descriptions of mathematical relationships. Finds that subjects are more likely to identify incorrectly the synonym of the dominant sense when the ambiguous word is used in its mathematical meaning than they are to identify the subordinate, mathematical sense when the ambiguous word…

Presents definitions of convolutions, mathematical operations between sequences or between functions, and gives examples of their use in information science. In particular they can be used to explain the decline in the use of older literature (obsolescence) or the influence of publication delays on the aging of scientific literature. (Author/LRW)

Describes a personal problem solving-inquiry journey, working on a problem suggested by an activity on probability observed in a junior primary classroom. Presents reflective thoughts about the mathematical and pedagogical lessons to be learned from this journey. (ASK)

Knowledge graphs can be used by students as a tool to visualize the structure of concepts and relations between mathematical concepts. Focuses on the graphs produced by students, their appreciation of the structuring activity, and the relationship between their graphs and test results. (Contains 18 references.) (Author/ASK)

Presents hands-on activities to introduce the rhomboid and its parts. (ASK)

Describes a series of empirical studies designed to investigate the nature of learners' difficulties with the proof technique of structural induction. Indicates that a constant factor was the role of implication in induction. Concludes that the conceptual gap between knowing how to apply the principle of induction and understanding why it is valid…

Presents an analysis of the different meanings associated with randomness throughout its historical evolution as well as a summary of research concerning the subjective perception of randomness by children and adolescents. Some teaching suggestions are included to help students gradually understand the characteristics of random phenomena. Contains…

This article reviews some of the research on indirect proof, discusses implications of the research for teaching, and offers some specific examples and strategies that can increase students' success with this important proof technique. (AIM)

Describes a strategy to make chi-square calculations and interpretations more understandable by presenting the theory behind the test to the students in a visual manner. Involves using dihybrid corn to generate a large sample of chi-squares followed by plotting a frequency distribution to get at the meaning behind the chi-square table. (JRH)

Discusses the image the populace has of mathematics. Suggest ways of overcoming the misconception of mathematics. (ASK)

Addresses the definitions of several mathematical concepts and the relationships between them based on a theoretical framework presented in the first part. Presents two examples of mathematical activities on equivalent and non-equivalent definitions constructed in the context of professional development workshops for mathematics teachers.…

Delineates two illustrative game-theoretic applications to Philippine politics: (1) People Power Revolution in the mid-1980s and (2) conflict over Spratly Islands in the mid-1990s. Uses zero-sum games to model these two events, and elementary matrix theory to determine pure strategies and locate equilibrium points. Includes recommendations for…

Seeks to elicit engineering students' concept images attached to key mathematical concepts using a questionnaire. Indicates that engineering and mathematics students do have different concept images, particularly that engineering students gradually adopt mathematical ideas into their engineering knowledge in a way that makes sense of them.…