Discrete Mathematics Teacher Resources

Based off of the hit television show NUMB3RS, this lesson introduces students to the Art Gallery problem, in which guards must be placed so that an entire area is guarded. This lesson may be used concurrently with Guarding the Goods...

A description of edge connectivity, that relates to vertex connectivity.

A description of vertex connectivity, that relates to edge connectivity.

Students learn about complex networks and how to represent them using graphs. They also learn that graph theory is a useful mathematical tool for studying complex networks in diverse applications of science and engineering, such as...

Students learn about complex networks and how to use graphs to represent them. They also learn that graph theory is a useful part of mathematics for studying complex networks in diverse applications of science and engineering, including...

A dozen topology topics are listed here for both the teacher's and the student's use. Knot Theory, Bundles, and Topology Structures are just some of the areas which are explored in depth. Detailed explanations and necessary sketches and...

After reading two math-related books, students investigate their home and school environments to find examples of objects that come in sets and then create their own books on sets.

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.

Let's Go to the Mall! is designed to help students understand the connection between various kinds of combinations (multiplication principle and choose numbers) and permutations.

The Amazing Mathematical Object Factory allows you to review many combinatorial objects by producing lists of mathematical objects. This game helps make discrete mathematics more accessible. Combinatorial objects are studied in discrete...

Based off of the hit television show NUMB3RS, this lesson introduces students to the Knapsack Problem, a discrete mathematics situation in which a knapsack is to be filled with a series of objects, each with various weights, sizes, or...

Learners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to calculate the inverse of a square matrix. The activity includes examples with 2 by 2 and 3 by 3 matrices.

Learners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to add and multiply matrices. Some topics explored are scalar multiplication, multiplication of two matrices, square matrices, and addition of two...

Based off of the hit television show NUMB3RS, this lesson gives students some insight into the connection between graph theory and triangular numbers, using telephone networks. Similar to the famous Handshake Problem, students will find...

A brief explanation of Euler and Hamiltonian Paths and Circuits. This assumes the viewer has some basic background in graph theory. The Seven Bridges of Konigsberg problem is also considered.

The author of this site endeavours to explain how linear algebra has many applications in a wide range of disciplines, to help students see its uses in the real world.

Pdf of slides that describes the Chinese postman problem.

Optimizations problems with examples, solutions, and links to further explain methods to solve.

Explanation of adjacency matrix and how to construct them with examples.

A well laid-out lesson plan that uses a classroom simulation to show the medicine level in the body over a period of time. Young scholars track on a chart the process of intake/elimination and problem solve what happens to the medicine...

Over a dozen topics in the field of Applied Mathematics are explored here. Each link contained detailed explanations of the area in question, along with examples and sketches that both teachers and students will find helpful.

An article written for teachers with recommendations on how to present permutations, combinations, and the binomial theorem to students. It contains both useful suggestions about order of presentation and many class examples. A good...

An extensive collection of sites on the topic of Knot Theory. Links to dozens of sites are provided which take the user from the basic definition of KT, through to detailed Applet programs which create knots on the spot. NOTE: Some links...

Learners are given a real-world application to explore function models.