Credit recovery is one strategy to deal with high failure rates. The primary goal of credit recovery programs is to give students an opportunity to retake classes that they failed in an effort to get them back on track and keep them in school (Watson & Gemin, 2008). Most recently, as schools across the nation struggle to keep students on track…

Intelligent tutors have become increasingly accurate at detecting whether a student knows a skill, or knowledge component (KC), at a given time. However, current student models do not tell us exactly at which point a KC is learned. In this paper, we present a machine-learned model that assesses the probability that a student learned a KC at a…

An interactive whiteboard (IWB) is simply a surface onto which a computer screen can be displayed, via a projector. It is touch-sensitive and lets one use a pen like a mouse, controlling the computer from the board itself. Everything that can be displayed on a computer can be displayed onto the whiteboard and, if the computer is linked to speakers…

Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students…

The study we present here concerns the consequences of integrating online resources into the teaching of mathematics. We focus on the interaction between teachers and specific online resources they draw on: e-exercise bases. We propose a theoretical approach to study the associated phenomena, combining instrumental and anthropological…

University of Chicago School Mathematics Project (UCSMP) Algebra is a one-year course covering three primary topics: (1) linear and quadratic expressions, sentences, and functions; (2) exponential expressions and functions; and (3) linear systems. Topics from geometry, probability, and statistics are integrated with the appropriate algebra.…

The authors' proposed work builds upon 12+ years of research collectively known as the "SimCalc Projects." SimCalc Connected MathWorlds (SCM) combines two innovative technological ingredients to address core mathematical ideas in deep and sustainable ways for mathematics learners. Software that addresses content issues through dynamic…

At present, an increasing number of students at the K-12 level in the U.S. are taking courses online via virtual schools, which have been in existence since the end of the 20th century. Virtual schooling is becoming a mainstream option alongside traditional face-to-face learning environments. Even with its increasing popularity, very few empirical…

This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…

"BIO2010" put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on…

Recent research indicates that the methodology for teaching English language learners (ELLs) is unique. One approach most commonly used to teach this group in the United States is referred to as sheltered instruction. With Sheltered English Immersion (SEI), middle school teachers simultaneously teach content and language skills. The author will…

This article reports on a study into the integration of ICT for students' personal use in the secondary mathematics classroom through using small software applications on handheld computing devices (graphical calculators). The handhelds were networked through wireless hubs so that data, software and output can be shared and an interactive space…

This set of lessons is designed to be carried out in all of the subject-area classes. Science lessons are expanded and taught in social studies, math, and language arts classes. This highlights the far-reaching impact that science has on other worldviews. To complete this objective, you and your team of teachers must work together using the…

This article provides a survey of some basic results in algebraic number theory and applies this material to prove that the cyclotomic integers generated by a seventh root of unity are a unique factorization domain. Part of the proof uses the computer algebra system Maple to find and verify factorizations. The proofs use a combination of historic…

This article profiles Cathleen Norris, a Regents Professor in the department of Learning Technologies at the University of North Texas and co-creator of GoKnow Learning who encourages teachers to use cell phones in lessons. As a middle and high school math teacher for 14 years in the Norman (Oklahoma) School District and Dallas (Texas) Independent…