Provides experiences of teaching students who had the use of a TI-92 for the semester, both in and out of class, with a greater emphasis on modeling and qualitative graphical methods and decreased emphasis on explicit solution techniques. Indicates that the TI-92 proved to be an invaluable tool for this course. (Author/ASK)

Of 19 college algebra classes, 12 used WeBWorK and 7 used traditional paper and pencil homework (PPH). Given the earlier quantitative result that no significant difference in performance between WeBWorK and PPH classes was found, a qualitative analysis of 358 student and instructor surveys revealed 3 primary categories of student perceptions…

The purpose of this article is to explore some research into teaching and learning algebra, and to consider related classroom issues. This leads to the development of diagnostic instruments that may be used by senior secondary teachers as students leave the middle years and embark on rigorous mathematical study. It also outlines an effective…

Several hierarchical classes models can be considered for the modeling of three-way three-mode binary data, including the INDCLAS model (Leenen, Van Mechelen, De Boeck, and Rosenberg, 1999), the Tucker3-HICLAS model (Ceulemans,VanMechelen, and Leenen, 2003), the Tucker2-HICLAS model (Ceulemans and Van Mechelen, 2004), and the Tucker1-HICLAS model…

Through the use of taped interviews, the reasoning level of eleven (11) pre-service teachers relative to selected concepts in Algebra was ascertained. Yumus' (2001) levels of reasoning were applied as a guide, namely: (a) Level 1: Unable to produce any reasoning, (b) Level 2: Have awareness of the models, known facts, properties and relationships…

Assessing common target outcome for a general education program is difficult in an undergraduate "cafeteria style" program because of the scope of courses and lack of uniformity in the students' choices, and the difficulties associated with tracking a large number of transfer students. The University of Central Florida used a course…

This study explored the use of writing to help students' develop schemata knowledge for algebraic thinking. Eight seventh-grade pre-algebra students participated in a teaching experiment in which they solved algebraic problems related in mathematical structure. The problems involved contexts of growth and change and size and shape. Qualitative…

This article describes a variety of activities that ask students to identify, describe, compare, and classify symbol strings (algebraic expressions and equations). The activities use a collection of twelve symbol strings on cards. (Contains 2 figures.)

This article describes students using the context of a walk-a-thon for learning about linear and nonlinear functions. (Contains 6 figures.)

One problem that students have with mathematics is that they often view the topic as a series of unrelated ideas. Sometimes they are aware that they have to know one concept to move to the next, but what is done in geometry is not necessarily related to anything in algebra. This failure to recognize mathematical connections limits students'…

We comment on the paper "The co-emergence of machine techniques, paper-and-pencil techniques, and theoretical reflection: A study of CAS use in secondary school algebra" by Carolyn Kieran and Paul Drijvers. We look at aspects of Kieran and Drijvers' analysis with regard to "task-technique-theory" in the light of a model of abstraction in context…

Not so long ago, the common response of teachers to high school use of computer algebra systems (CAS) was invariably along the lines of, "What will be left to teach if our students have access to devices which solve, factorise, do calculus and more?" and "If students use such tools, then they will never learn how to do their mathematics, and their…

Difficulties with college algebra can be the gatekeeper for earning a degree. Students struggle with algebra for many reasons. The focus of study was to examine students struggling with entry-level algebra courses and differentiate between those who were identified as having a mathematics disability and those who were not. Variables related to…

An algebra teacher changes the dynamics of her classroom by recognizing the conflict between students wanting the freedom to make their own decisions and teachers wanting to limit that freedom and wanting to control the students. The adoption of self-paced classroom instruction where students had to master each concept before proceeding to the…

States the principal-agent theory is difficult to teach because of its technical complexity and intractability. Indicates the equilibrium in the contract space is defined by the incentive parameter and insurance component of pay under a linear contract. Describes a graphical approach that students with basic knowledge of algebra and…