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…

This correlation study examines the relationship between participation in online embedded professional development communities and student achievement gains in a College Algebra course taught by high school teachers to high school students for college credit. The participating teachers met weekly through a web-based meeting format using…

In grade 8 (the only grade in which subgroup trends were analyzed by achievement level), California students made gains across the board in reading at the basic, proficient, and advanced levels for racial/ethnic subgroups, low income students, and boys and girls. In math, there were some declines at the basic achievement level. In terms of…

In grade 8 (the only grade in which subgroup trends were analyzed by achievement level), Arkansas showed across-the-board gains--improvements in reading and math at the basic, proficient and advanced levels for all racial/ethnic subgroups, low income students, and boys and girls. The gains were quite large in most instances, especially at the…

Competence in algebra is linked to access to higher education, employment in better-paying jobs, and, increasingly, the ability to earn a high school diploma. For many students with learning disabilities, developing proficiency in algebra represents a challenging, but necessary goal. Teachers of students with learning disabilities need access to…

Outreach mathematicians are college faculty who are trained in mathematics but who undertake an active role in improving primary and secondary education. This role is examined through a study where an outreach mathematician introduced the concept of complex variables to junior high school students in the United States with the goal of stimulating…

This study examined the relationship between teacher assessments and grade eight New Jersey NCLB mathematics testing. It also examined how curricular changes affected student achievement for one New Jersey junior high school on the NCLB mathematics test. The research considered teacher assessments and the New Jersey grade eight NCLB mathematics…

Assumptions: In mathematics learning, one of the considerations in the graphing calculator (GC) use is to understand students' attitude toward calculators. Rationale: This presentation describes design of an assessment instrument of students' attitude toward graphing calculator. Objectives: A pilot study that assessed the effectiveness of the…