In university education, lecturers often adopt didactic lectures in undergraduate calculus classes. This method has been judged for making students passive recipients of calculus knowledge who cannot construct their own knowledge of the discipline. One way to make didactic lecture more interactive and engaging in calculus class is to encourage…

Mathematics plays a vital role in education; however, Filipino students encounter difficulties, evident in their performance on both national and international assessments. However, current literature suggests that leveraging technology, such as calculators and AI, in mathematics education can enhance students' proficiency, particularly in the…

Most any students can explain the meaning of "a[superscript b]", for "a" [element-of] [set of real numbers] and for "b" [element-of] [set of integers]. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" [element-of] [set of real numbers] and for…

Recently, a new source of data with great potential for use in the mathematics classroom has become available. The smartphones in our pockets are packed with sensors. Most phones have at a minimum global positioning, accelerometer, magnetometer, and gyroscope sensors. We give an example of the collection and analysis of global positioning sensor…

Course instructors need to assess the efficacy of their teaching methods, but experiments in education are seldom politically, administratively, or ethically feasible. Quasi-experimental tools, on the other hand, are often problematic, as they are typically too complicated to be of widespread use to educators and may suffer from selection bias…

The integration of digital technology confronts teachers, educators and researchers with many questions. What is the potential of ICT for learning and teaching, and which factors are decisive in making it work in the mathematics classroom? To investigate these questions, six cases from leading studies in the field are described, and decisive…

Computer algebra systems are described. Features of such systems and information on MACSYMA, Maple, muMath, REDUCE, and SMP are given. (MNS)

Some of the implications and advantages of an instructional approach using results from the calculus of finite differences and finite sums, both for motivation and as tools leading to applications, are discussed. (MP)

Newton's method for finding roots of equations is described. How to find complex roots using the BASIC computer language is then presented, with the computer program included. (MNS)

Detailed examples of the kind of interdisciplinary activity involving differential equations and the computer that are highly motivating to many pupils and can be easily integrated with current materials are provided. It is felt the projects illustrated can work well within courses and are not excessively time-consuming. (MP)

Computer algebra systems (such as MACSYMA and muMath) can carry out many of the operations of calculus, linear algebra, and differential equations. Use of them with sketching graphs of rational functions and with other topics is discussed. (MNS)

Sophomore and junior students in the College of Engineering at Cornell University have been taught engineering mathematics using new computer software that performs exact symbolic algebraic and calculus operations. Describes this software, the computer-based mathematics laboratory, changes in the teaching/learning environment, and short- and…

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (PK)

Reviews for three software packages are given. Those packages are: 20/20 Statistics, Graphing Equations, and COMPUCALC. The first package is a set of programs for use in introductory statistics, the second contains four programs for studying the graphing of equations, and the third contains examples and techniques from calculus. (PK)

Notes muMATH is a powerful computer algebra systems assistant for performing symbol manipulation in algebra and calculus. Provides several examples and program listings for calculus tutoring, differentiation drill problems, and integration drill problems. (MVL)