MathIsland

From your starting point to seven journeys

Follow one idea through a few connected readings and experiments. Start at the beginning or open the lesson that interests you.

My starting point

Where would you like to begin?

Choose the mathematics you would like to start with, regardless of age. You can change it at any time.

Begin before fractions →

Start with matching and counting. You do not need fractions or multiplication yet.

Begin with shapes, measurements and data →

Browse the whole map without choosing ↓

Numbers

Parts of one whole

Read the same quantity as a picture, a fraction and a decimal.

Read 3 connected lessons →Numbers

Beyond familiar numbers

Extend numbers when familiar ones cannot express a value.

Read 3 connected lessons →

Mathematical language

Unknown numbers and balance

Find an unknown by preserving equality.

Read 3 connected lessons →Mathematical language

Reverse repeated multiplication

Distinguish the questions asked by powers, roots and logarithms.

Read 3 connected lessons →

Relationships

Quantities that change together

Look for patterns and distinguish ratios from proportionality.

Read 3 connected lessons →Relationships

From input to output

Read the same function in a table, a graph and an expression.

Read 3 connected lessons →

Change

Instantaneous change and accumulation

Connect limits with derivatives and integrals.

Read 3 connected lessons →Change

Make closeness precise

Revisit calculus through definitions and their conditions.

Read 3 connected lessons →

Space

Move, reflect and measure

Use shapes to distinguish length, area and volume.

Read 3 connected lessons →Space

Measure without reaching

Connect lengths using similarity and right triangles.

Read 3 connected lessons →

Uncertainty

What a collection of numbers tells us

Read the shape of data, not only a representative value.

Read 3 connected lessons →Uncertainty

Reason under uncertainty

Distinguish chance, new information and sampling.

Read 3 connected lessons →

Information

Work with several numbers at once

Organize numbers by position and role before calculating.

Read 3 connected lessons →Information

Learn by reducing error

Explore how functions and derivatives meet in learning.

Read 3 connected lessons →