How do students think about an angle measure of ninety degrees? How do they think about ratios and values on the unit circle? How might angle measure be used to connect right-triangle trigonometry and circular functions? And why might asking these questions be important when introducing trigonometric functions to students? When teaching…

A growing body of literature has identified quantitative and covariational reasoning as critical for secondary and undergraduate student learning, particularly for topics that require students to make sense of relationships between quantities. The present study extends this body of literature by characterizing an undergraduate precalculus…

Prepared for use with thirteen modules (CE 025 468-480) in the Unified Technical Concepts postsecondary physics instructional package, this set of eight support modules is designed to strengthen mathematical and laboratory skills in areas such as units, graphing, logarithms, dimensional analysis, and basic trigonometry. Module titles include…

This guide was prepared as an instructional aid for teachers of a first-year course in Algebra. It was designed to be applicable to the wide range of Algebra 1 programs being offered in the junior and senior high schools. In this guide, the content of the Algebra 1 program has been divided into 11 major units, each unit organized around student…

To help students develop measurement skills using metric units, an activity on making a box is described, with a worksheet for students. A second article discusses graphing elementary functions with a real domain, while a third article describes computer-assisted practice in graphing sine and cosine functions. (MNS)

Presents three teaching ideas: (1) a scoring rubric to assess students' ability to communicate attempts at solving homework problems; (2) a three-part measurement activity using trigonometry, maps, and compasses to locate hidden treasure; and (3) a demonstration of the effects of numerical coefficients on graphs of quadratic functions. (MDH)

Utilizing word problems relevant to the field of environmental health, this workbook presents a concept-oriented approach to competency development in 14 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3)…