This study was an initial effort at Brenau College (Georgia) to analyze the relative effectiveness of a self-paced math lab approach to developmental pre-college algebra. Students enrolled in 1988-89 were taught under the lecture method; this applied to students needing both developmental arithmetic and developmental algebra. During the subsequent…

This paper describes a 2-year collaborative action research project in which the focus was to investigate the effects of the use of "Hands-On Equations" mathematics manipulatives in an algebra class on students' confidence, interest in, and ability to solve and retain understanding of algebraic equations. The first phase centered on documenting…

The Hawaii Learning Project (HALP) has produced an Algebra I curriculum that stresses student learning through problem solving, communication, connections, development over time, and challenging tasks. The HALP curriculum is used by more than 16,000 students in 13 states. Scores on standardized algebra tests for HALP graduates have been about the…

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.…

Describes a research project that examined the effects of the Computer-Intensive Algebra (CIA) and traditional algebra curricula on students' (N=802) understanding of the function concept. Results indicate that CIA students achieved a better understanding of functions and were better at the components of modeling, interpreting, and translating.…

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…

Utilizes a psychological-constructivist perspective to examine the transitions that students make from arithmetic to algebra in the context of problems that, from an expert's perspective, involve the concept of linear inequality. Reports that students who completed a transition to algebra operated at higher levels of reflective abstraction than…

Demonstrates a change in the goals of teaching the algebra of equation-solving in Victoria, Australia that requires a transition from a way of solving problems in arithmetic to a conceptually new algebraic way. Contains 20 references. (Author/ASK)

Ninety-six eighth and ninth grade algebra students were asked to judge the equivalence of pairs of equations and to justify their responses on the basis of transformations or calculations. Students who gave justifications based upon transformation schemes had a significantly higher rate of correct responses than students who calculated solutions.…

Investigated the upper limits of (n=22) seventh-grade students' informal processes in solving first degree equations in one unknown prior to instruction. Results indicated the existence of a cognitive gap between arithmetic and algebra characterized as the students' inability to operate spontaneously with or on the unknown. (37 references)…

This longitudinal study investigated the ways in which two groups of eight students used spreadsheets to represent and solve algebra problems and related this to their previous arithmetical experiences and evolving use of symbolic language. The spreadsheet environment supported students to move from specific to general thinking. Includes story…

A feasible instructional method for reducing failure in first-year algebra is the double-dose approach pioneered by Douglas MacIver. Two studies conducted in Roxbury, Massachusetts, and in Norfolk, Virginia, reveal the educational benefits of providing second math periods for ninth-grade algebra students. (MLH)

Middle school and high school algebra students (n=2,369) taught in a manner consistent with the National Council of Teachers of Mathematics (NCTM) Standards took three standardized algebra assessments. Middle school students seemed to benefit from the approach, and high school students were neither hindered nor helped. (SLD)

This paper discusses an experiment designed to determine the effects of a problem-solving approach to instruction (PSAI) on eighth grade Algebra I students. Comparisons were made of the scores from the 1991 and 1993 Subject Area Testing Program--Algebra I of skills taught via PSAI and skills taught traditionally. In 1991 (n=56) eighth grade…

Presents a teaching experiment to turn students from external observers into active participants in a game of algebra learning where students use graphs to build meaning for equivalence of algebraic expressions. Concludes that the graphic-functional approach seems to make the introduction to algebra much more meaningful for the learner. (ASK)