Achieving meaningful educational outcomes requires scalable strategies for mastering mathematical concepts and skills, with student engagement at the core. This paper examines the use of comprehensive, technology-enhanced activities designed to promote active learning and deeper conceptual understanding. Specifically, it focuses on the integration…

The aim of the exploratory method research centered on the presence of mathematical tools in STEM through three main questions: Is mathematics an essential tool in the field of STEM? Can mathematics complete projects solely with mathematical and digital tools? Does understanding mathematical modeling affect STEM teaching? A better understanding of…

This article discusses preparation assignments used in a Calculus II course that cover material from prerequisite courses. Prior to learning new material, students work on problems outside of class involving concepts from algebra, trigonometry, and Calculus I. These problems are directly built upon in order to answer Calculus II questions,…

This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos--satisfying an axiom sin[superscript 2] + cos[superscript 2] = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two…

Describes an analysis of the direction taken by a baseball immediately after coming into contact with the bat. Uses geometry, trigonometry, and physics. (MKR)

Computer graphics are used to display the sum of the first few terms of the series solution for the problem of the vibrating string frequently discussed in introductory courses on differential equations. (MNS)

Describes a project in which trigonometry and precalculus students cooperate to measure the height of an inaccessible water tower. (MKR)

An application of trigonometry in weather forecasting, dealing with cloud height, is discussed. (MNS)

A new trigonometric identity derived from factorizations and partial fractions is given. This identity is used to evaluate the Poisson integral via Riemann sum and to establish some trigonometric summation identities.

A discussion of the mathematics of rugby is related to an earlier article about mathematics and the physical world. (MP)

Describes Kerf bending which is used to produced a curved shape out of plywood. Discusses why Radtke's kerf-cut method yields a circular arch. (KHR)

Presents activities that combine astronomy problems with algebra, geometry, trigonometry, data analysis, and physics. Provides experiences for students in making distance measurements themselves by using the method of parallax. (ASK)

Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)

The Center for Occupational Research and Development (CORD) developed an applied mathematics course that integrates algebra, geometry, trigonometry, and other strands; centers around hands-on laboratory experiences; and uses real-world problems found in the world of work. (MKR)

Presents a problem in which the incorrect application of the Law of Sines leads to an erroneous solution. Demonstrates that the commission of this error by an ophthalmologist using laser trabeculoplasty could lead to patient injury. (MDH)