We investigate the rationale for instructional decisions proposed by two groups of community college mathematics faculty (full-time and part-time), as they discussed animations of trigonometry classes that breached several classroom norms. Although both groups of faculty justify their decisions in similar ways, the way in which they talk differs.…

In this article, the author describes the development and implementation of a measurement-based group activity designed to support students in understanding the connection between angle magnitude and the shape of the sine function. She explains that the benefit of this activity is that it allows students to build their trigonometric knowledge…

This Ontario-based qualitative study examined secondary school and college textbooks' treatment of trigonometric representations in order to identify potential sources of student difficulties in the transition from secondary school to college mathematics. Analysis of networks, comprised of trigonometric representations, identified numerous issues…

Describes the college-level course offered at the State University of New York, which combines plane geometry and plane trigonometry. Explains lesson sequences and sample exercises to show how the course develops all of the major principles of geometry and trigonometry using three basic constructions: perpendicularity, angle congruency, and angle…

An experimental two-track intermediate algebra course was offered at Saddleback College, Mission Viejo, CA, between the Fall, 2002 and Fall, 2005 semesters. One track was modeled after the existing traditional California community college intermediate algebra course and the other track was a less rigorous intermediate algebra course in which the…

Several formulae for the inradius of various types of triangles are derived. Properties of the inradius and trigonometric functions of the angles of Pythagorean and Heronian triangles are also presented. The entire presentation is elementary and suitable for classes in geometry, precalculus mathematics and number theory.

Research was conducted to develop a means of identifying, upon entry into the course, the students most likely not to succeed in trigonometry, with the intention of using the prediction to apply an intervention strategy. A 64-item questionnaire was developed and administered to a sample of students enrolled in the course in the winter 1973…

Discusses four computer-assisted-instruction programs used in a college-level mathematics course to introduce computer literacy and improve mathematical skills. The BASIC programs include polynomial functions, trigonometric functions, matrix algebra, and differential calculus. Each program discusses mathematics theory and introduces programming…

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features that present book and software reviews and math problems. The first of two issues of volume 9…

This study reviews literature related to innovative approaches to the teaching of college algebra, and describes the approach to such a course at Lansing (Michigan) Community College. Recommendations concerning that course are presented, based on the experiences of other schools as described in the literature, and analysis of the Lansing…

Arguing that high attrition rates and low grades in trigonometry classes underscore the need for changes in the approach to trigonometry instruction, these papers suggest an instructional model and present a proposal for its adoption at the College of San Mateo (CSM). The first paper begins with the argument that students' lack of preparation for…

At Kings River Community College, analyses were conducted of the grades and characteristics of students in Mathematics A (Elementary Algebra), Mathematics B (Plane Geometry), Mathematics C (Trigonometry), and Mathematics D (Intermediate Algebra) to determine which variables were significantly related to student success. Data were gathered on 69…

Based on the assumption that each student learns in a unique way, this paper outlines the factors to be considered before selecting the methods of instruction for particular mathematics courses and their students. The advantages and disadvantages of the lecture/textbook and question/answer method, individualized instruction, self-pacing,…

Utilizing word problems relevant to automotive mechanics, this workbook presents a concept-oriented approach to competency development in 13 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) scientific notation;…

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)…