This paper discusses a pedagogical technique called the discovery approach in teaching remedial and college algebra. Examples of how to introduce and enhance some algebra topics using this approach in mathematics classrooms are illustrated. It is argued that student performance would improve if more topics were presented in a discovery fashion.…

This paper brings a teacher's perspective to bear on recent policy initiatives requiring all high school graduates to complete an Algebra One course. The paper is based on the teacher's experience in teaching high school students who have not been successful in mathematics, at Holt High School in Michigan. The teacher is caught between a desire to…

Presents a calculator-type computer program, CLICAL, in conjunction with complex number, vector, and other geometric algebra computations. Compares the CLICAL with other symbolic programs for algebra. (Author/YP)

Cooperative student work often fails to generate individual understanding of abstract algebra materials. Suggests techniques that enable abstract algebra students to master proofs and enhance cooperative work. (Author/ASK)

This study reports evaluation data from a statewide inservice project to retrain mathematics teachers to implement a new algebra curriculum required by all students for high school graduation. The new course places more emphasis on problem solving, use of graphing calculators, and real-life applications. Pretest and posttest data were collected…

Discusses reasons for using spreadsheets in mathematics education. Presents mathematics activities for beginning algebra classes using spreadsheets. (ASK)

Analyzes student construction of function-based problem solving methods in introductory algebra. Describes longitudinal observation of a pair of students that studied algebra for three years using the function approach including intensive use of graphing technology. Offers terms for describing and explaining what and how do learners appreciate and…

As times change, so has the role of algebra in the educational program. The Interactive Mathematics Program (IMP) offers secondary students an opportunity to learn algebra in a college preparatory sequence that combines basic skills, problem solving, and conceptual understanding while integrating algebra into a problem-based program. Designed for…

Reviews three geometry textbooks in order to examine both the quantity and content of algebra review. Concludes that although the books incorporate a great deal of algebra, much of it is noncontextual review. (ASK)

Based on the experiences as a researcher and teacher in lower-track, high school Algebra One classrooms, this book illuminates the complex dynamics of the algebra classroom and explores how to really know students, how to find engaging material, and how to inspire meaningful classroom conversations. A teacher's evolving understandings of his…

Discussed is the use of magic squares as examples in a first year course in linear algebra. Four examples are presented with each including the proposition, the procedure, and a proof. (KR)

Middle school algebra classes were observed to examine the multiple variables interacting in learning of algebra. Middle school algebra classes were especially informative because of the significant impact of the students' cognitive development transitions from concrete to formal operations. The National Council of Teachers of Mathematics (1989)…

Ideas which apply language concepts to the study of algebra are presented. Discussed are algebraic notation, vocabulary, vocalization, and written assignments. The careful use of algebraic language in mathematics classes is emphasized. (CW)

Describes a series of lessons in which 6th grade students explore notions of rates of change and their effect on the shapes of graphs. Addresses aspects of the algebra content standard for the middle grades. (YDS)

Georgia's Gainesville College conducted a study to determine the relationship between students' remedial needs and their grades in two required algebra courses: Math 104, introductory algebra for non-science majors, and Math 151, introductory algebra for science and math majors. Grades for the first attempt in these courses were collected for…