In this 21st century, learners are required to be able to adapt to new challenges so that they can solve problems in the real world. This poses challenges in learning, especially online learning, which will continue to grow. This research aims to produce worksheets for prospective teachers using the Interactive Case-Based Learning (ICBL) model…

Discusses the purposes, advantages, and disadvantages of computer illustrated texts (CIT). Describes three separate CITs which demonstrate the variability that CITs have in terms of screen layout, programing style, and depth and range of coverage of topics in mathematical physics. (ML)

Discusses the use of computer graphics in the teaching of geometry. Describes five types of geometry: Euclidean geometry, transformation geometry, coordinate geometry, three-dimensional geometry, and geometry of convex sets. (YP)

Computer algebra systems (CAS) have now become much more readily accessible for use in secondary school mathematics on both hand-held and computer platforms. While the initial focus of work with CAS from the early 1980's has generally been with respect to pedagogical and curriculum issues, as familiarity with CAS in senior secondary mathematics…

Provides examples from elementary mathematics principles which illustrate some of the advantages of an interactive mouse-driven animation. Explains the effectiveness of this approach with exercises dealing with a plane of waves and quadratic formulas. (ML)

Describes a process of mathematical investigation involving generalized Fibonacci sequences. Provides the derivation using expressions, BASIC programs, and numerical verification. (YP)

Illustrates how teachers or students can use spreadsheets. Shows the layouts, formulas, and data of two cases: budget manager and data manager. Seven references are listed. (YP)

Since the mid-1980's, computers in elementary and middle grade schools have functioned to a large extent as a medium for student practice in the skills and concepts of basic mathematics and logic. This report presents the results of a 2-year nationwide field experiment designed to provide credible evidence about the effects of using computers in…

Implements a table algorithm on a spreadsheet program and obtains functions for several number sequences such as the Fibonacci and Catalan numbers. Considers other applications of the table algorithm to integers represented in various number bases. (YP)

Describes how three dimensional LOGO was used in a workshop session for secondary pupils and mathematics teachers. Provides many commands and output drawings. (YP)

This material on matrices is part of "Introduction to College Mathematics" (ICM), designed to prepare high school students who have students who have completed algebra II for the variety of mathematics they will encounter in college and beyond. The concept goals of this unit are to use matrices to model real-world phenomena, to use matrices as…

Presents several examples of the iteration method using computer spreadsheets. Examples included are simple iterative sequences and the solution of equations using the Newton-Raphson formula, linear interpolation, and interval bisection. (YP)

Shows step-by-step use of spreadsheets with an example from linear programing using the Simplex method. Describes pivot choosing and partial Gauss-Jordan elimination procedures. (YP)

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…

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)