High academic standards are an important first step in ensuring that all Alaska's students have the tools they need for success. These standards reflect the collaborative work of Alaskan educators and national experts from the nonprofit National Center for the Improvement of Educational Assessment. Further, they are informed by public comments.…

This article seeks to provide an insight into little known numerical methods for deriving meaning from ancient sacred texts to give an understanding of some of the symbolism contained in the wonderful artwork and sculptures of Venetian artist Tobia Rava. The author describes how he used Rava's artwork to inspire a multi-faceted mathematics…

Promoting student understanding for transfer is an illusive hallmark of effective mathematics instruction. While much research has shown the necessity of promoting understanding for transfer, less attention has been paid to actual pedagogical strategies that can be used to promote transfer of mathematical ideas. Using Fogarty et al. (1992, "How to…

The central ideas of postcalculus mathematics courses offered in college are difficult to introduce in middle and secondary schools, especially through the engineering and sciences examples traditionally used in algebra, geometry, and trigonometry textbooks. However, certain concepts in music theory can be used to expose students to interesting…

Perhaps a business colleague threw out a challenge. The year: around 1200. The place: Pisa. The challenge: Calculate how many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the second month on. The question and its solution found its way into the…

Many students in Grades 9-10 are not meeting state standards on standardized mathematics tests in the Southeastern United States. The focus of this study was to determine if a teacher's confidence level affects student success in mathematics and to discover which type of teacher self-efficacy best predicts student performance. Bandura's social…

In education, there is an increasing emphasis on the use of data in schools. Data are reported on academic achievement in school report cards each year. Administrators use data for curricular and evaluative purposes. Teachers are provided with data to improve their pedagogy. All of this data is based on student academic performance; however,…

From the point of view of functional programming, a computational process to solve a problem is described as a mathematical function taking some arguments (corresponding to the data of the problem) and returning as a result its solution. Turtle Graphics can be used to describe the movements of a virtual turtle, which leaves a trail along his path…

Dynamic features of peer network experiences (membership fluidity and network interconnectedness) were examined for their role in African American and White early adolescents' sense of belonging in mathematics classrooms. Because these dynamic features are naturally present in adolescents' peer group affiliations, attention to them provides a more…

The recent publication of two important documents, "Focus in High School Mathematics: Reasoning and Sense Making" and the "Common Core State Standards for Mathematics" (CCSSM), provides a timely opportunity to take stock of the various recommendations and policies aimed at improving the quality of students' high school…

The purpose of the study is to determine prospective mathematics teachers' views about using computer-based instructional materials in constructing mathematical concepts and to reveal how the sample computer-based instructional materials for different mathematical concepts altered their views. This is a qualitative study involving twelve…

Most software tools that have been developed with the aim of helping students to learn school algebra have not yet achieved successful results in classroom. Almost all of them are menu-based systems that provide transformation rules in menus and buttons. Aplusix is a new interactive software tool for learning school algebra. In contrast to…

Researchers and mathematics educators are trying to understand which learning experiences will help pre-service secondary mathematics teachers (PSMTs) be successful in the classroom. The purpose of this article is to contribute to the understanding of educational experiences that will lead to PSMTs, learning practices for teaching secondary…

Providing students in urban settings with quality teachers is important for student achievement. This study examined the differences in content knowledge, attitudes toward mathematics, and teacher efficacy among several different types of alternatively certified teachers in a sample from the New York City Teaching Fellows program in order to…

Rochelle Gutiérrez has spent 15 years researching effective, urban high school mathematics departments that served Black, Latin@ and low-income adolescents (see, e.g., Gutiérrez, 1996, 1999a, 1999b, 2000, 2002). These were schools where students took more mathematics than was required by their district; where English learners, recent immigrants,…