Computer Algebra Systems (CAS) can be used to help understand the behavior of cubics and other families of curves. The analysis of the parameters associated with a family of curves can give insight into the behavior of the family and can be used within the context of a mathematical model to determine a policy for the implementation of the model in…

Discussed are the difficulties that entering college freshmen seem to have with mathematics, particularly with fractional forms. A success-oriented program is suggested in which all students are successful. To obtain this goal, a number of alternative routes are discussed such as presenting decimals before fractional forms and the use of the…

Discusses the history of different methods of representing numbers and how these representations facilitated counting and computing devices such as the abacus. (MDH)

Presents ways of using theories of knowing and learning to inform use of computer algebra systems (CAS) in school and early college mathematics. Describes the role of macroprocedures and microprocedures, process-object distinctions, and the movement towards more formal ways of expressing mathematical ideas. Discusses how these theories along with…

An understanding of past technological advancements can help educators understand the influence of new technologies in education. Inventions such as the abacus, logarithms, the slide rule, the calculating machine, computers, and electronic calculators have all found their place in mathematics education. While new technologies can be very useful,…

Characterizes algebra as a way of reasoning involving variables/functional relationships, generalization/modes of representation, and mathematical investigation/argument. Examines curricular goals; considers contributions of technology to reconceptualize algebra; and suggests directions for future development of tools and models, research agendas,…

Three different methods of teaching fraction computation were compared using community college student scores on measures of fraction computation, fraction understanding, and attitude towards mathematics. One method used conventional algorithms; the second, a control for the effect of using a calculator, used conventional algorithms and…

This paper describes how the TI-92+ calculator can be valuable in illustrating basic and advanced programming concepts in introductory computer science courses. Descriptions of the scope of the curricula for the courses in which the TI-92+ is used are provided. The TI-92+ programming language is particularly useful in demonstrating the progression…

Discusses areas where teachers may harbor mistaken assumptions about their students' understanding when using graphing calculators: (1) confidence and competence with order of operations, (2) integration of algebraic and graphical knowledge, and (3) scaling a graph. (MKR)

Calculators are transforming mathematics instruction, freeing it from an arithmetic-driven curriculum. They have encouraged teachers to think more carefully about what is important to learn. Calculators should be used at all levels of instruction and on tests, including standardized exams. Meaningful educational reform depends on such a change.…

Within the next two decades, calculators will be standard tools in mathematics classrooms. They should be used regularly but carefully in classroom instruction and testing to allow use of realistic data and exploration of mathematical concepts, but not to allow finding the answer without understanding the question. (MSE)

Women tend to subscribe to a belief that they are less inclined than males to handle numbers, logic, or problem-solving tasks. Upward mobility in occupations is seen to be dependent on math. A list of math anxiety, math avoidance, and math reentry programs given around the country is provided. (MLW)

Several outlines for a calculator usage course are presented, along with some suggested course objectives. The approaches seek to teach the utilization of calculators as computing devices into which formulas and calculations are translated. (MP)

A study was conducted at a large, state-supported college in the Northeast to establish a mechanism by which a popular software package, Statistical Package for the Social Sciences (SPSS), could be used in psychology program statistics courses in such a way that no prior computer expertise would be needed on the part of the faculty or the…

Argues that while microcomputer and graphing calculators have evolved to a stage where they should be used routinely by mathematics students at all levels, there is sometimes potential to mislead students with computer generated graphs. Examples are included. (PK)