VGANTM RW· Six Facets of Understanding

"VeGAN ToMoRroW" Math Where PROCEDURAL FLUENCY is accompanied by CONCEPTUAL UNDERSTANDING

VGAN TMRW MATH is a framework for understanding every math concept through six facets of understanding — five VGANT model types (Verbal, Graphical, Analytical, Numerical, Technological) all connected to the Real World.

One Framework. Six Facets of Understanding. Infinite Understanding.

Every math concept can be understood through five VGANT model types — all connected to the Real World. Together they build deep, lasting conceptual understanding.

V

Verbal Models

Express mathematical ideas in words, definitions, and explanations that describe real-world phenomena

G

Graphical Models

Visualize real-world relationships through graphs, diagrams, and geometric representations

A

Analytical Models

Capture real-world behavior through equations, formulas, and symbolic reasoning

N

Numerical Models

Represent real-world patterns through tables, data sets, and computation

T

Technological Models

Use tools and technology to simulate, explore, and model real-world situations

M RW

5 Models of the Real World

The foundation — every VGANT model connects back to authentic problems and real-world applications

Stop 'doing' math. Start CREATING it.

For too long, math education has been driven by a single verb: do. 'Today we are going to do derivatives.' 'Let's do some practice problems.' This framing prioritizes procedural fluency — the ability to execute steps — above everything else.

VGAN TMRW MATH flips the script. When you think of math as creating models of the real world, every concept gains purpose. You're not just solving for x — you're building a verbal explanation, a graphical picture, an analytical formula, a numerical table, and a technological simulation that together illuminate a real phenomenon.

This shift from 'doing' to 'creating' is the difference between a student who can pass a test and a thinker who can use mathematics to understand the world.

More Videos

Explore more concepts through the VGANT framework.

12 min

Understanding Linear Functions Through All 6 Lenses

VGAN
18 min

Building a Real-World Model: Population Growth

TRWA
9 min

From Equation to Graph: The Analytical-Graphical Connection

AGN

Ready to Transform How You Teach Math?

Join educators who are rethinking math from the ground up — one concept, six lenses, infinite understanding.

V·G·A·N·T·RW
VGAN TMRW MATH

Creating Verbal, Graphical, Analytical, Numerical, and Technological models of the Real World.

The Idea

Math isn't something you do. It's something you create — models that connect abstract ideas to the real world.

VGAN TMRW MATH — Creating Models of the Real World

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