Data on public secondary schools in Arkansas were gathered for two separate school years, 2005-2006 (N = 278) and 2006-2007 (N = 279), to determine if there was an association between athletic expenditures and student academic achievement. Prior to this research, there was little empirical evidence demonstrating any effect that athletic spending…

This study measured the amounts of different types of metacognitive statements made by students enrolled in Elementary Algebra courses at a community college in California. A total of 17 students were interviewed three times during the course of a semester. All interviews were coded for types of metacognitive statements that fell into one of three…

In this article the authors set out to examine the effect of tracking in mathematics. Previous analyses have shown it to be quite prevalent at 8th grade unlike much of the rest of the world. The US practices both between- and within-school tracking, leading to very different content coverage for different students. Without judging the merits of…

"Perspective" is a monthly e-newsletter presenting news and views from Achieve. This month's issue commences with a commentary assessing the meaning of college- and career-readiness. In doing so, it addresses some of the questions Achieve gets asked most frequently, including: What subjects are most important in defining "Readiness"? What does…

Comparing multiple examples typically supports learning and transfer in laboratory studies and is considered a key feature of high-quality mathematics instruction. This experimental study investigated the importance of prior knowledge in learning from comparison. Seventh- and 8th-grade students (N = 236) learned to solve equations by comparing…

Second-order latent growth curve models (S. C. Duncan & Duncan, 1996; McArdle, 1988) can be used to study group differences in change in latent constructs. We give exact formulas for the covariance matrix of the parameter estimates and an algebraic expression for the estimation of slope differences. Formulas for calculations of the required sample…

This article reports on work undertaken by schools as part of Qualifications and Curriculum Authority's (QCA's) "Engaging mathematics for all learners" project. The goal was to use in the classroom, materials and approaches from a Royal Institution (Ri) Year 10 master-class, "Number Sense", which was inspired by examples from…

The theory of error-correcting codes and cryptography are two relatively recent applications of mathematics to information and communication systems. The mathematical tools used in these fields generally come from algebra, elementary number theory, and combinatorics, including concepts from computational complexity. It is possible to introduce the…

The study investigated whether online professional development courses with different levels of support have different impacts on teacher outcomes. Variations of an online course for middle school algebra teachers were created for four experimental conditions. One was a highly supported condition, with a math education instructor, an online…

It is argued that algebra is a gateway to a rich high school curriculum and later success at a four-year college. Therefore, everyone should take algebra and take it as early as possible. In this article, the author contends that it is a fallacious argument that infers causation from correlation. He believes that the kids who take algebra early…

This article draws out many mathematical ideas connected with a familiar game often used by middle school teachers. (Contains 5 figures and 1 table.)

Solving algebraic word problems involves multiple cognitive phases. The authors used a multitask approach to examine the extent to which working memory and executive functioning are associated with generating problem models and producing solutions. They tested 255 11-year-olds on working memory (Counting Recall, Letter Memory, and Keep Track),…

To deeply understand proportional reasoning, students must be able to differentiate proportional situations from nonproportional situations. Unfortunately, the emphasis on the use of proportional strategies in middle-grades mathematics has led students to develop a disposition to associate certain characteristics of problem formulation with the…

Dutch universities complain that freshmen in studies such as chemistry, physics, economics and mathematics do not master the required algebraic skills. In the worldwide discussions on mathematics education, mastery of algebra is also a prevalent issue. Often a distinction is made between basis procedures and algebraic reasoning, so-called symbol…

This qualitative study examined the experiences of three eighth-grade prealgebra teachers as they planned student sensitive lessons for their ethnoculturally diverse students. The teachers worked in a lesson study group with a diversity consultant, an ESL (English as a second language) teacher who had a variety of multicultural experiences from…