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…

Discrete Mathematics instructors and students have long been struggling with various labelling and scanning algorithms for solving many important problems. This paper shows how to solve a wide variety of Discrete Mathematics and OR problems using assignment matrices and linear programming, specifically using Excel Solvers although the same…

The activity of posing and solving problems can enrich learners' mathematical experiences because it fosters a spirit of inquisitiveness, cultivates their mathematical curiosity, and deepens their views of what it means to do mathematics. To achieve these goals, a mathematical problem needs to be at the appropriate level of difficulty,…

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

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…

Infinite geometric series are related to the time-motion paradox involving a football team advancing halfway to a goal line on each successive play. (MN)

Three short articles on teaching procedures are presented. They concern: (1) a simple introduction to the derivative; (2) using derivatives to solve polynomial equations; and (3) mathematical applications in problems concerning force due to gravity. (JG)

An approach to the calculus beginning with calculations of speeds was suggested by Morris Kline. This approach is developed and metricated. (SD)

The theorem is seen as the foundation for large-sample statistical inferences, and is usually difficult for students to understand because one expects to take only one sample from a population. A description of how a table of random numbers readily available to students could be used is provided. (MP)

A course of mathematical methods for students of different degree programs is outlined. An approach to the teaching of the course is described which allows continuity between sections of apparently different material. (MP)

This article conceptualises a real-like model of a mathematical model as an inverse model. The inverse model draws on the un-complexity of concrete real life operations in order to help students to add concrete meaning to mathematical algorithms. The inverse model is described in the context of a pedagogical perception, which grants students in…

Reviews the underpinnings of synthetic division. Shows how to quickly obtain the coefficients of the Taylor expansion of a polynomial about a point, and a partial fraction decomposition of a polynomial. (MVL)