The benefits of high-level mathematics packages such as Matlab include both a computer algebra system and the ability to provide students with concrete visual examples. This paper discusses how both capabilities of Matlab were used in a multivariate calculus class. Graphical user interfaces which display three-dimensional surfaces, contour plots,…

In 1996, North Carolina began a 5-year evaluation of Alternative Learning Programs (ALPs). This report describes selected outcomes for students who participated in ALPs during 1995-96. These outcomes include performance on North Carolina End-of-Grade tests (elementary school) and performance on the End-of-Course(EOC) tests (high school) for…

Presents 14 problems organized into three levels of difficulty. Topics include algebra, pattern identification, probability, and geometry. Includes solutions to the problems. (DDR)

Demonstrates the use of technology to enhance the appreciation of applications involving abstract algebra. The symbolic manipulator Maple can perform computations required for a linear cryptosystem. One major benefit of this process is that students can encipher and decipher messages using a linear cryptosystem without becoming confused and…

Although research has confirmed block scheduling's nonacademic benefits, effects on academic achievement are mixed. Teachers do not always replace lecturing with more effective participatory teaching methods. To work best under an intensive or alternating block schedule, schools should adapt the math curriculum to reduce course redundancy and…

Presents activities which highlight major concepts of linear programming. Demonstrates how technology allows students to solve linear programming problems using exploration prior to learning algorithmic methods. (DDR)

Discussed are supercalculator capabilities and possible teaching implications. Included are six examples that use a supercalculator for topics that include volume, graphing, algebra, polynomials, matrices, and elementary calculus. A short review of the research on supercomputers in education and the impact they could have on the curriculum is…

This aptitude-treatment interaction (ATI) study was designed to clarify the relationship between the aptitude variable spatial visualization and two modes of presentation of linear absolute-value inequalities. The modes of presentation include computer-enhanced instruction (CEI) and traditional. (Author/KR)

Describes the Algebra Project, which teaches algebra to middle school students and prepares them for college preparatory mathematics. The project includes some of the following elements: (1) a curriculum addressing the conceptual leap from arithmetic to algebra; (2) an experientially based curricular process; (3) high achievement expectations; and…

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

Three studies involving 44 learning-disabled junior high students assessed the impact of strategy instruction in individual, small group, and whole class instruction in one knowledge domain: algebra. The three studies are contrasted, outcome data are compared, and the issue of generality-specificity in strategy instruction is examined. (JDD)

Discusses the need to consider the cognitive models of students and their learning processes when designing computer tutorials, and describes a tutorial designed to teach students how to generate algebraic equations for story problems. Testing and revisions of the tutorial, with both college and high school students are described. (14 references)…

The author suggests that spreadsheet computer programs can be an effective tool in the mathematics classroom. In addition to being used to solve many real-world problems, spreadsheets can be used to promote understanding of concepts and principles from geometry, algebra, and trigonometry. (PK)

Discusses research findings related to students' ability to make connections between analytical (symbolic) and graphical representations of functions in calculus. Describes graphing tasks and typical student interpretations. Implications for teaching are suggested. (Contains 17 references.) (MKR)

Presents a series of 5 reproducible worksheets for grade levels 5-10 that provide hands-on activities to help develop the concept of slope. (MDH)