Algebra student achievement has become a matter for increased focus in recent years, as educators answer calls for reform, including the standards documents of the National Council of Teachers of Mathematics and the No Child Left Behind mandates. A meta-analysis of 35 independent experimental studies shows that six teaching method categories have…

The central question of this study was whether there was a difference in mathematics achievement between students taught in an ICL classroom and those taught in a traditional classroom. The author was also interested in the experience students had while using the software. Thus, students in the ICL curriculum were surveyed about their attitudes…

Peters (1992) reports that students in the intervention and control groups showed gains on the Orleans-Hanna test during the course of the school year (that is, from pretest to posttest). However, the test score gains of the two groups did not differ significantly. There was no evidence that the Saxon Algebra curriculum (intervention) was more or…

Through an examination of one institution's efforts to strengthen teaching and learning on campus, the author makes a strong case for the use of common examinations as a powerful form of assessment as well as a fruitful context for faculty deliberations. Providing a continuing occasion for faculty inquiry and discussion, insuring grade…

The relationship between teachers and Computer Algebra Systems is generally problematic. The extensive capabilities of CAS provide opportunities for learning but also bring a new complexity that makes it difficult for teachers to take advantage of these opportunities. Barzel's paper contrasts with this observation: in a "Lernwerkstatt"…

In 4 experiments, the authors explored the role of visual layout in rule-based syntactic judgments. Participants judged the validity of a set of algebraic equations that tested their ability to apply the order of operations. In each experiment, a nonmathematical grouping pressure was manipulated to support or interfere with the mathematical…

For over a decade it has been a common observation that a "fog" passes over the course in linear algebra once abstract vector spaces are presented. See [2, 3]. We show how this fog may be cleared by having the students translate "abstract" vector-space problems to isomorphic "concrete" settings, solve the "concrete" problem either by hand or with…

With the help of technology and a basic high school algebra method for finding the vertex of a quadratic polynomial, students can develop and prove the formula for least-squares lines. Students are exposed to the power of a computer algebra system to generalize processes they understand and to see deeper patterns in those processes. (Contains 4…

The concept of a function is fundamental to virtually every aspect of mathematics and every branch of quantitative science. Presently this type of thinking is carolled at the secondary level, and yet it has many benefits for deepening the understanding of early arithmetic. This is particularly so in the way that operations can be considered as…

In part 1 of this work we showed how modern mathematical research could, with a suitably chosen problem, be included in the first year curriculum of undergraduate mathematicians. With the use of Computer Algebra Systems, even the average undergraduate mathematician can aspire to discover interesting yet still unexplained behaviour in many areas of…

This study investigated whether two different versions of an online professional development course produced different impacts on the intended outcomes of the course. Variations of an online course for middle school algebra teachers were created for two experimental conditions. One was an actively facilitated course with asynchronous peer…

One possible approach students can cope with abstract algebra concepts is reducing abstraction. This notion occurs when learners are unable to adopt mental strategies as they deal with abstraction level of a given task. To make these concepts mentally accessible for themselves, learners unconsciously reduce the level of the abstraction of the…

Research in the field of attribution theory and academic achievement suggests a relationship between a student's attributional style and achievement. Theorists and researchers contend that attributions influence individual reactions to success and failure. They also report that individuals use attributions to explain and justify their performance.…

Because of the educational importance of mathematics and science, IEA's (International Association for the Evaluation of Educational Achievement) Trends in International Mathematics and Science Study, widely known as TIMSS, is dedicated to providing countries with information to improve teaching and learning in these curriculum areas. Conducted…

Between 2003 and 2007, and without significant outside funding, the School District of Philadelphia created 25 new small high schools. This study, begun by Research for Action in 2006, follows the start-up and early implementation of these small high schools in Philadelphia. The study found that parents and students are interested in small high…