Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)

Instructional strategies are presented that illustrate ways of developing students' understanding of nonnumerical notation that are compatible with a constructivist stance. The concepts of using letters to represent a range of values and those used to represent unknowns are discussed. (KR)

Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)

Explored the variables that affect enrollment in eighth-grade algebra for African-American students. Studied constructs that fell into three broad categories: individual characteristics, home/parent variables, and school-related variables. Assessed data from the base-year student and parent data files of the National Education Longitudinal Study…

Excerpts a student-teacher discourse from a 4th-grade mathematics classroom to illustrate how discourse helps students construct algebraic thinking. Discusses the implications of the discourse method of collaborative inquiry for teaching. (JPB)

This article describes a mathematical model that connects mathematics with social studies. Students use mathematics to model independent versus convoyed ship deployments and sinkings to determine if the British should have convoyed their merchant ships during World War I. During the war, the British admiralty opposed sending merchant ships grouped…

Given its important role in mathematics as well as its role as a gatekeeper to future educational and employment opportunities, algebra has become a focal point of both reform and research efforts in mathematics education. Understanding and using algebra is dependent on understanding a number of fundamental concepts, one of which is the concept of…

T-algebra is a project for creating an interactive learning environment for expression manipulation tasks of elementary algebra. Our main didactical principle has been that all the necessary decisions and calculations at each solution step should be made by the student, and the program should be able to understand the mistakes. This paper…

Using symbolic algebra to represent and solve linear equations is one of the expectations within the "Algebra" content standard for the 6-8-grade band in the National Council of Teachers of Mathematics (NCTM) "Principles and Standards for School Mathematics" (2000). Students' understanding of these concepts, even before a formal algebra course,…

Although the myth of public education as the "great equalizer" is alive and well in the minds of many, the reality is that the notion of public schools as the savior of the less fortunate is fundamentally compromised when institutional decision making does more to suppress low-income and minority students through low expectations…

There has been much debate in recent years as to the amount and type of mathematical knowledge that teachers need to acquire. One set of recommendations is provided by the Mathematical Education of Teachers (MET) report, produced jointly by the American Mathematical Society and the Mathematical Association of America. This paper reports on efforts…

The pre-algebra lexicon is a set of classroom exercises designed to teach the technical words and phrases of pre-algebra mathematics, and includes the terms most commonly found in related mathematics courses. The lexicon has three parts, each with its own introduction. The first introduces vocabulary items in three groups forming a learning…

A study was conducted at the Community College of Allegheny County, in Pennsylvania, to compared the level of preparedness in an intermediate algebra course for students who placed directly into the course and those who had tested into and completed a basic algebra course. Placement test scores, algebra course grades, and repeat status were…

This paper proposes a model for a general interface between people and Computer Algebra Systems (CAS). The main features in the CAS interface are data navigation and the possibility of accessing powerful remote machines. This model is based on the idea of session management, in which the main engine of the tool enables interactions with the…

Over the past 3 years, the Mathematics Department of Grossmont College, in California, has examined the issues of course standards, instructor grading variability, and course placement. In 1990, a study was conducted to determine if the Elementary Algebra instructors with lower pass rates had higher standards, and if their students had a higher…