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…

The inability of students to become proficient in algebra seems to be widespread in American schools. One of the reasons often cited for this inability is that instruction seldom builds on prior knowledge. Research suggests that teacher effectiveness is the most critical controllable variable in improving student achievement. This report details a…

In overcrowded urban high schools, students are dealing with many issues in and out of school. Issues at home paired with math curriculum that does not seem relevant to their lives, leads to a lack of engagement in the classroom. This research poses the question: How can project-based algebra engage low-socioeconomic status high school students?…

Within the context of a mathematics reform effort to implement algebra in elementary schools, there is a pressure to provide results in the form of student achievement scores. However, widely-used measures of student achievement may be unrelated to the ideas and instructional practices encouraged by the reform effort. The inappropriate use of…

This study of student performance in an online Algebra course looked at the development, implementation, and evaluation of interactive tools for graphing linear equations. The study focused on an interactive tool that was evaluated with virtual school Algebra students for a challenging component of the course. The performance of these students in…

This article describes preparation and delivery of high school mathematics lessons that integrate mathematics and astronomy through The Geometer's Sketchpad models, traditional proof, and inquiry-based activities. The lessons were created by a University of Texas UTeach preservice teacher as part of a project-based field experience in which high…

A whimsical mathematics event for children and adults, derived from Lewis Carroll's Alice's Adventures in Wonderland, was held at the Providence Children's Museum in Rhode Island. NCTM's Standards were the basis of all the activities. (Contains 10 figures and 1 table.)