The author, Sirin Budak, discusses how to model the problem of a frog climbing out of a well using piecewise functions and GeoGebra.

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…

The main objective of this paper is to propose a didactic framework for teaching Applied Mathematics in higher education. After describing the structure of the framework, several applications of inquiry-based learning in teaching numerical analysis and optimization are provided to illustrate the potential of the proposed framework. The framework…

"Flatland: A Romance of Many Dimensions" is an 1884 novella written by English schoolmaster Edwin Abbott. He describes what it would be like to live in a two-dimensional (2D) world--Flatland. It is fascinating reading that underscores the challenge of teaching three-dimensional (3D) mathematics using 2D tools. Real-world applications of…

In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. These concepts are introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was motivated after observing students' difficulties when treating…

While explanations may help people learn by providing information about why an answer is correct, many problems on online platforms lack high-quality explanations. This paper presents AXIS (Adaptive eXplanation Improvement System), a system for obtaining explanations. AXIS asks learners to generate, revise, and evaluate explanations as they solve…

In this note, we demonstrate with illustrations two different ways that MS Excel can be used to solve Linear Systems of Equation, Linear Programming Problems, and Matrix Inversion Problems. The advantage of using MS Excel is its availability and transparency (the user is responsible for most of the details of how a problem is solved). Further, we…

Presents mathematics problems which use technology for exploring and verifying relationships among data sets; comparing and analyzing effects of changes in parameters of mathematical models; simulating complex, expensive, or dangerous events using probability models based on random outcomes; and graphically or numerically zooming in on apparent…

In January 2000 a network of discipline-based centers was established for higher education in the UK, including a Mathematics, Statistics & Operational Research (MSOR) Network which will: support and enhance academic practice in teaching MSOR; coordinate networks of MSOR academics; disseminate innovation and good practice in learning, teaching and…

Presents attributes of different types of software including Logo, geometric packages, graphical packages, and spreadsheets, each of which offers different opportunities for learning. Investigates the different ways in which the software allows for performing the given task so as to make the mathematics of the task explicit to users. (KHR)

Presents a real-life example of mathematical modeling in which a medical company asks for help in solving a warehouse-inventory problem. Uses charts, graphs, and computers. (MKR)

In this paper, a central claim will be that one of the most important influences that technology should have on mathematics education is that many of the most important goals of mathematics instruction should consist of helping students develop powerful, sharable, and re-usable conceptual technologies for constructing (and making sense) of complex…

Describes a classroom activity in which students explore a real-life application of algebra by sending secret messages to each other. (MKR)

Discusses the use of software created for practical, real-world applications to connect mathematics to other subjects and to the world outside the classroom. Software presented includes Design Your Own Home, Bridgebuilder, Physics Explorer, Aldus Superpaint, and Sprout. (MKR)

Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)