Describes how to use the computer algebra system (CAS) Mathematica to analyze projectile motion with and without air resistance. These experiments result in several conjectures leading to theorems. (Contains 17 references.) (Author/ASK)

Reviews tasks and techniques to help students develop an appropriate instrumental genesis for algebra and functions to prepare for calculus. Focuses on the potential of the calculator to connect enactive representations and theoretical calculus. Discusses strategies to help students experiment with symbolic concepts in calculus. (Contains 32…

Presents activities that combine astronomy problems with algebra, geometry, trigonometry, data analysis, and physics. Provides experiences for students in making distance measurements themselves by using the method of parallax. (ASK)

Describes the experimental intelligent computer algebra system STRAMS which can solve problems using a set of methods and techniques traditionally taught, learn new mathematical problem solving methods, and generate different kinds of explanations. Analyzes these features of STRAMS to give reasons for its potential applicability in building…

Describes a prototype package that uses algorithms created within the symbolic algebra system Axiom, numerical routines from the NAG Libraries together with the easy-to-use facilities of modern graphical interfaces. Considers the implementation of different techniques, both symbolic and numeric, for the analysis and calculation of interpolating…

Following a pretest, 11 participants who were naive with regard to various algebraic and trigonometric transformations received an introductory lecture regarding the fundamentals of the rectangular coordinate system. Following the lecture, they took part in a computer-interactive matching-to-sample procedure in which they received training on…

This article describes an innovative method for teaching of mathematics which was utilized to teach abstract algebra to a class of mathematics education majors at a small liberal arts college. A variation of R.L. Moore's Discovery Method was employed in conjunction with substantial use of mathematical software. Although student reactions were…

Few historic episodes in American history have imparted a more potent plea for social justice and inclusion than the civil rights movement in the 1950s and 1960s. In the past two decades, legendary activist Bob Moses has channeled the best of the civil rights tradition into a campaign of school reform and curriculum development with the nationally…

This article describes a mathematical communication game that was used by the author to facilitate middle school students' understanding of algebraic expressions. (Contains 1 table and 2 figures.)

This article describes the authors' experiences using clock arithmetic to help students understand key structural properties in algebra, such as identities and inverses. (Contains 10 figures.)

Technology is evolving and now some secondary classrooms see students using computer algebra systems (CAS), however, Zbiek (2003) points out that "graphical representations seem to abound in CAS-using classrooms" and "many [research] studies of the use of CAS depend highly on the graphing component of the tool". Kissane (2001) suggests that with…

In his recent article in this journal, John Gough (2004) concludes that the practical results of the considerable academic research undertaken at the University of Melbourne into the uses and impacts of graphics calculators and CAS (computer algebra systems) should be made more widely available in journals for teachers. This short article is…

The purpose of this research is to investigate students' cognitive behaviour in the subjects of function, limit, and derivative according to gender. The research was conducted with the participation of 67 female and 58 male 11th grade students of Gazi High School in Eskisehir in the academic year 2000/2001. The data were obtained through a test…

The authors measure math skills with a broader set of explanatory variables than have been used in previous studies. To identify what math skills are important for student success in introductory microeconomics, they examine (1) the student's score on the mathematics portion of the ACT Assessment Test, (2) whether the student has taken calculus,…

This research was designed to study Taiwanese junior high school students' understanding about the validity of conditional statements. Distinguishing between validity and truth is a crucial topic in mathematical reasoning and argumentation but has been always neglected in the mathematics curriculum at junior high school level of schooling. The…