As at many two-year colleges around the country, the pass rate among Montgomery County Community College students who take remedial-math classes, which cover material students are typically expected to master in high school, is much lower than school officials would like. Of the roughly 1,350 new students at Montgomery County who took a…

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…

Encouraging students to share and compare solution methods is a key component of reform efforts in mathematics, and comparison is emerging as a fundamental learning mechanism. To experimentally evaluate the effects of comparison for mathematics learning, the authors randomly assigned 70 seventh-grade students to learn about algebra equation…

"C[squared] = Creative Coordinates" is an engaging group of tasks that fosters the integration of mathematics and art to create meaningful understanding. The project lets students illustrate of find an image, then plot points to map their design on a grid. The project usually takes about a week to complete. When it is finished, students who are…

At their final exam in linear algebra students at the author's university were given the possibility to choose between two types of proofs to be done. They could either prove two short statements by themselves or they could explain four steps in a given proof. This paper reports on investigations of students' responses to the choice option…

It is in the field of numerical analysis that this "easy-looking" function, also known as the Runge function, exhibits a behavior so idiosyncratic that it is mentioned even in most undergraduate textbooks. In spite of the fact that the function is infinitely differentiable, the common procedure of (uniformly) interpolating it with polynomials that…

The addition and subtraction of integers is the first major avenue, and roadblock, to student success in learning algebra. This article describes a hands-on activity using a regular deck of playing cards that facilitates class discussion and helps students overcome this initial roadblock. (Contains 14 figures.)

This paper profiles the student subgroup achievement and gap trends in Maryland for 2010. In grade 8 (the only grade in which subgroup trends were analyzed by achievement level), Maryland had data for racial/ethnic subgroups, low income students, and boys and girls at the proficient and advanced levels. The percentage of students reaching the…

Since Achieve launched the American Diploma Project (ADP) Network at the National Education Summit on High Schools in February 2005, state leaders across the country have been hard at work aligning their standards, graduation requirements, assessments and accountability systems with the expectations of colleges and employers. To monitor state…

This article presents an annotated bibliography of recent research related to academic advising. It includes eight research papers that focus on advising.

In consideration of the widening achievement gap between native English speaking and non-English speaking students, the purpose of this study was to determine whether a predictable relationship exists between the academic achievement of English language learners (ELLs) and their background variables. Specifically, this study examined differences…

This qualitative research study focused on the eight bilingual, content area high school teachers implementing Project SOL (Secondary Online Learning) in Southern California during the 2008-2009 school year. It documents their effort to integrate an online curriculum from the "Colegio de Bachilleres" in Mexico obtained through the UCLA…

Sixty-five fourth-grade, fifth-grade and sixth-grade teachers in the Midwestern United States participated in professional development opportunities designed to increase their mathematics content knowledge and pedagogical knowledge over a two-year series of workshops. Through the use of pre-tests and post-tests assessing content knowledge and…

This book is a collection of activities designed to complement an Algebra I program that features cooperative learning. The activity descriptions contain learning outcomes, the National Council of Teachers of Mathematics (NCTM) standards addressed in the activity, a suggested time frame for the activity, assessment opportunities, materials…