Described are various ways that a computer algebra system (MAPLE) was used to facilitate the resequencing of skills and applications within an elementary college-level business calculus course. Experimental results confirmed earlier findings that skills acquisition is not a prerequisite to conceptual understanding or problem-solving ability. (JJK)

Used national survey data to examine the impact of high school algebra on students who differed in mathematics skills before entering high school. Regression analysis with over 12,500 students indicates that all students benefit from taking algebra, although benefits are smaller for those with very low prior achievement. (SLD)

Presents an algebra project in which students build a dance club. Reveals how this project motivates students and makes algebra more accessible, dynamic, and relevant to their society. (ASK)

Described is an alternative first year algebra program developed to bridge the gap between the NCTM's Curriculum and Evaluation Standards and institutional demands of schools. Increased attention is given to graphing as a context for algebra, calculator use, solving "memorable problems," and incorporating geometry concepts, while…

Reports the results of an investigation designed to help algebra teachers and curriculum developers by providing insights into how high-performing college algebra students (N=30) develop an understanding of major aspects of the concept of function. Results revealed that these high-performing students actually possessed weak understanding. Contains…

This study investigated differences in achievement for control groups learning college algebra using traditional classroom instruction methods compared to experimental groups using computer algebra tutorials for three precalculus topics. Two instructors each taught one control group and one experimental group. No significant differences were…

Describes the results of a study that tracked college algebra students who had previously completed an Academic Assistance mathematics course that facilitated collaborative learning. Only 53% of all students who enrolled in college algebra in fall 1994 earned grades of C or higher, but 95% of students who had previously participated in the…

Presents a mathematical puzzle that asks about "missing" area and leads to an exploration of the Fibonacci sequence as well as genuine inquiry in plane geometry connected to algebra. Discusses the inquiry, the concepts, the solution, and an extension that deepens all students' understanding of the connections between algebra and…

Describes a program to help students succeed in developmental mathematics courses, such as arithmetic, elementary algebra, and intermediate algebra. Provides information on program evaluation and how the program is funded. (YP)

Investigates whether three cognitive components of language proficiency--metalinguistic awareness of symbol, syntax, and ambiguity--are associated with students' success in learning algebraic notation. Reports that very few students with low metalinguistic awareness scores achieved high algebra scores in a total sample of more than 1500 students.…

Discusses the use of a computer algebra system in a capstone mathematics course for undergraduate mathematics majors preparing to teach secondary school mathematics. Provides sample exercises intended to demonstrate how the power of a computer algebra system such as MAPLE can contribute to desired outcomes including reinforcing and strengthening…

Presents an activity that explores the completion of squares from the geometric point of view. (ASK)

Provides a brief synopsis of the development of the National Fire Danger Rating System along with an explanation of how it works and possible ways to use it in a modeling or problem-solving unit in a secondary mathematics classroom. (ASK)

Presents two games that provide practice with equivalent fractions, that were produced at three levels of difficulty, Level 1 being the simplest. Also describes another game for practice in solving simple linear equations. Appendices contain examples of materials used in the games. (ASK)

Algebra, an important skill, provides a way to represent situations so they can be analyzed carefully. In the new algebra classroom, students will listen and talk to one another while learning to understand problems and devise solutions. Teachers will organize tasks (involving graphing, rating, and ranking techniques) to help students discover the…