Presented is an activity for teaching linear algebra to grade 7 or grade 8 students. The activity is taken from the "Victorian Secondary Reality in Maths Education" (RIME) Pack. The activity called "Backtracking" builds on intuitions and understandings that students already possess. (RH)

This study assessed the effectiveness of the remedial/developmental mathematics program developed at Ramapo College of New Jersey. Data was gathered from a random sample of 604 students who participated in the program for at least part of the three-year period 1981-84 and for whom both pretest and posttest scores were available in at least one…

This paper is a case study of newspaper mathematics courses developed by SACHED TRUST and published as part of a broader newspaper project in South Africa between 1977 and 1980. Findings are presented, culminating in some recommendations for the future use of the newspaper for motivating adults to study mathematics. (Author/PK)

Tracing the history of algebra within the U.S. secondary curriculum requires at the same time a review of the various reform movements relevant to secondary education, an acknowledgement of the sociological, political, and psychological perspectives driving these reforms, and most importantly, the perceived role of mathematics in the education of…

Examples of relatively novel computer software environments from the representation perspective are described. Even more novel approaches to curriculum reform to cultivate higher-order thinking skills are then discussed. (MNS)

This publication contains revised versions of the major papers presented at a research conference on the learning and teaching of algebra. The papers and discussions focused on four major themes: what is algebra and what should it become, in light of continuing technological advances; what has research told us about the teaching and learning of…

First-year algebra high school students of various ability levels were presented lessons concerning the application of geometry theorems. The lessons varied in terms of the complexity of the examples that were shown. After the lessons, students completed a questionnaire concerning their perceptions of the lessons, and then they were tested over…

Reports on the findings of an examination of 32 linear algebra textbooks. The examination, to determine existing approaches to teaching the topics, was in preparation for developing a linear algebra program for high school students. (PK)

Describes a research methodology known as the teaching experiment and details an example of a teaching experiment aimed at the development of a process-oriented algebra curriculum. Addresses other possible variations of the teaching experiment, emphasizing the cooperation of teachers and researchers. (TW)

Highlights the major areas of research in mathematics education in 1983 (including problem-solving, sex and minority-group differences related to mathematics, and the school mathematics curriculum). Indicates that additional emphasis needs to be placed on technology, problem-solving, teachers' conceptions, and the teaching of algebra. (JN)

Examines questions raised by the Algebra Project relating to sociocultural contexts in which mathematical learning takes place and the contribution of social processes to the construction of mathematical knowledge. Finds that the project goal of improving minority student prospects in advanced mathematics and science is measurable and well worth…

Knowledge about the structure of arithmetic expressions enables people to reason effectively about such expressions, including an ability to judge equivalence under transformations. This paper reports an empirical study of six middle-school children who judged the equivalence of three sets of three-term arithmetic expressions with an addition and…

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…

Virtual Reality (VR) is a computer generated, multi-dimensional, inclusive environment that can build axioms of algebra into the behavior of the world. This paper discusses the use of VR to represent part of the algebra curriculum in order to improve students' classroom experiences in learning algebra. Students learn to construct their knowledge…