Exploration Library

AI Exploration Coach BETA

We're developing an AI mentor that provides Socratic guidance for your Mathematical Exploration. Currently in beta testing with select schools.

Ordnance Survey

Ever wondered how we measure height on our maps? It all started …

Trigonometry Geometry Surveying +1

Where Have All the Young Home Buyers Gone? …

The rent vs. buy debate has taken on new meaning for Gen …

Statistics Correlation Economics +1

TaxiCab Problem

Explore this classic problem in combinatorics.

Distance Metrics Geometric Proofs Non-Euclidean Geometry +1

Climate Change

Climate change: Sudden heat increase in seas around UK and Ireland

Statistics Data Analysis Climate Science +1

Antarctic sea-ice at 'mind-blowing' low alarms experts

The sea-ice surrounding Antarctica is well below any previous recorded winter level, …

Statistics Data Analysis Climate Science +1

CO2 Seasonal Variation

Explore the seasonal variation in the context of climate change

Climate Modeling Climate Science Environmental Science +1

Average Sea Temperature

Med Sea heatwave might feel nice for holiday swimming but there's a …

Statistics Data Analysis Climate Science +1

The Walkie-Talkie Skyscraped

London loves to rename its buildings.

Geometry Architecture Engineering +1

Tennis Training Wall

Explore the shape of this conveniently shaped wall

Geometry Angles Reflection +1

Construction Cranes

Look at the moments from a physics perspective - Explore the mathematical …

Trigonometry Forces Engineering +1

How Long is a Piece of String?

How would you tackle this not so simple problem? - Explore the …

Optimization Geometry Geometric Proofs +1

Nets and Wire Frames

Explore the geometry of items like these - Explore the mathematical principles …

3D Geometry Engineering Nets +1

Example Conversation

You wrote:

"I want to explore the mathematics of music because I play guitar."

AI Mentor:

"What specifically about playing guitar makes you curious about the mathematics behind it? Is it the tuning, the chord patterns, or something else?"

You wrote:

"I noticed that some chords sound good together and others don't."

AI Mentor:

"Interesting! Have you looked into the frequency ratios between notes in chords that sound harmonious vs. dissonant? What patterns might you expect to find?"

How It Helps

✓
Deepens Your Thinking
Asks questions that push you beyond surface-level ideas
✓
Never Gives Answers
Your work stays 100% authentic — the AI only guides
✓
Available 24/7
Get instant feedback as you write each section
✓
Teacher Visibility
Your teacher can see conversations to support you better

Free to start: Sign up to get 20 free AI prompts

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AI Exploration Coach BETA

Exploration Ideas

Ordnance Survey

Where Have All the Young Home Buyers Gone? …

TaxiCab Problem

Climate Change

Antarctic sea-ice at 'mind-blowing' low alarms experts

CO2 Seasonal Variation

Average Sea Temperature

The Walkie-Talkie Skyscraped

Tennis Training Wall

Construction Cranes

How Long is a Piece of String?

Nets and Wire Frames