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Discrete Mathematics Explorations

Discrete mathematical structures are at the heart of many modern disciplines, including computer science.

The study of these structures is a perfect entry point to learn about proofs and mathematical reasoning, giving students many opportunities for experimentation.

The mission of DIMEX

Provide the opportunity for all high school students to learn and explore discrete mathematics.
Enable female students to pursue STEM careers by arming them with the mathematical foundation of computing.
Engage students in geometric and abstract thinking methods beyond their school curriculum.

Resources for High School Students

Bijections
Catalan Numbers
Recurrences
Polygons

Resources for Middle School Students

2 x n Domino Tilings
Young Diagrams and Lattice Paths
Permutations and Triangular Numbers
Integer Partitions (Magic Fruit Activity)
Vertex Coloring and Eulerian Graphs (Fairy Forest Walk Activity)
Increasing Binary Trees and Dilworth's Theorem
Triangular Numbers, Part 2, and Dilworth's Theorem
Products as Shapes and Domino Tilings, Part 2
Catalan Numbers (The Depth-First Search Game)
Euler Characteristic and Planar Graphs

DIMEX's middle school curriculum consists of 10 modules, each including two half-hour length activities, often with a whimsical spin.