This paper reports on a design experiment in the domain of number sequences conducted in the course of the "WebLabs" project. We iteratively designed and tested a set of activities and tools in which 10-14 year old students used the "ToonTalk" programming environment to construct models of sequences and series, and then shared…

The purpose of this study was to assess how well the ASSET, COMPASS, and in-house readiness tests actually do in their placement of students into the algebra developmental courses. Specifically, the author collected and analyzed student data from these placement tools and the core final exams for MTH 03 and MTH 04 to determine how well these…

Preparing for an oral examination is an alternative way for students to learn mathematics by working cooperatively in small teams to solve problems. Reformed college mathematics courses are emphasizing the ability to communicate ideas clearly, both orally and in writing. The instructor is able to ask probing questions that are not usually possible…

The Mobius strip, torus, and Klein bottle are used to graphically and analytically illustrate the differences between orientable and non-orientable surfaces. An exercise/laboratory project using the non-orientable Boy surface is included. (Contains 11 figures.)

In this article, the author proves a theorem about polynomial zeros, but the focus is on how the theorem is integrated into a QuickBASIC computer program, and how that program answers the questions of the theorem--a unification of mathematics and computer programming. For a given polynomial, how can one overcome assorted problems in finding zeros…

Rhymes are often useful teaching devices for small children, and can even become a creative resource for teaching mathematics. The students and their teachers can change many of them to better fit their environment and/or extend the rhyme so that higher numbers are involved. A number of rhymes and folk tales lend themselves to more detailed…

This article illustrates how a computer algebra system, such as Maple[R], can assist in the study of theoretical fluid mechanics, for both Newtonian and non-Newtonian fluids. The continuity equation, the stress equations of motion, the Navier-Stokes equations, and various constitutive equations are treated, using a full, but straightforward,…

This classroom scholarship report is based on the teaching experience using Davydov's mathematics curriculum, which was developed in the former Soviet Union. While "from arithmetic to algebra" is the normally accepted instructional sequence in school mathematics, Davydov's curriculum is laid out "from algebra to arithmetic," focusing on algebraic…

This study examines a math journal writing assignment comparing how high school (grades 10 through 12) algebra students who performed well and students who performed poorly on traditional mathematics tests constructed their corresponding journal entries. Statistically significant differences found indicated that students who performed well on the…

Computer software that shows students visual models of mathematical concepts--and lets them manipulate those models by doing math--has a certain intuitive appeal. Now, recent research on SimCalc Mathworlds, one of the pioneering examples of such software, is providing some of the best evidence so far that the approach can lead to gains in student…

"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…

Montgomery County Public Schools (MCPS) "Special Education at a Glance." which includes a copy of the "Guide to Planning and Assessing School-Based Special Education Programs." provides in a single document, information about the special education population at each Montgomery County (Maryland) public school, including…

We present a summary of a study carried out with students of the first year of Bachillerato (the first of two pre-university non-obligatory secondary education courses in Spain) to determine and analyse some of their errors and difficulties in learning inequalities with the aim of improving the teaching-learning process of this topic. The study…

The National Center for Education Evaluation and Regional Assistance produced this major study of the effectiveness of education technology. Mandated by Congress, the report uses scientifically based research methods and control groups to focus on the impact of technology on student academic achievement. Thirty-three districts, 132 schools, and…

In this article, the author describes how he created an approach that he terms "Mathematics as a Second Language" (MSL) for teaching ELL students mathematics. The main components of MSL are vocabulary activities, journals, group work, and projects. He used MSL to teach prealgebra to ELL students, as well as to native English speakers, for two…