MathematicalPuzzles&Microworlds

Designed by

This collection of mathematical puzzles and microworlds builds on the work I've done for the past 20 years with The Geometer's Sketchpad software. Now, I've taken some of my favorite ideas and reimagined them with Claude.

Microworld
GeoSlice

GeoSlice

Slice shapes into pieces, rearrange them, and discover what new shapes emerge. A geometric playground for dissections.

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Microworld
FractionSlice

FractionSlice

Build fractions by slicing segments into even pieces. A playground for fraction investigations.

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Microworld
Color Calculator

Color Calculator

View fractions in their decimal form with each digit represented by a unique color. A microworld from Nathalie Sinclair.

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Microworld
Double Number Line

Double Number Line

A double number line model for visualizing problems like 56(120).

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Microworld
Balance Bars

Balance Bars

Solve for x in a visual way by keeping the heights of two bars equal.

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Microworld
Circle Inversion

Circle Inversion

A visual playground for exploring one of geometry's most surprising transformations.

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Puzzle
Hidden Shapes

Hidden Shapes

With only their vertices visible, can you uncover the shapes hiding in a sea of points?

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Puzzle
Herding Sheep

Herding Sheep

Use your knowledge of special quadrilaterals to help sheepdogs herd their sheep.

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Puzzle
Hinged Dissections

Hinged Dissections

Explore these magical hinged dissections from Greg N. Frederickson.

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Puzzle
The Odometer

The Odometer

Give this unique odometer a spin as you use your knowledge of place value to reach numerical targets.

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Puzzle
Arranging Addends

Arranging Addends

The elegant properties of the powers of 2 and 3 allow you to form a multitude of sums with just a handful of addends.

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Puzzle
Open the Safe

Open the Safe

The numbered lights on a safe switch on and off as you enter addition statements. Can you use logic to open the safe?

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Puzzle
Light the Circles

Light the Circles

Elevate addition practice with a fun dose of logic as you form given sums. A variant of my Arranging Addends puzzles.

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Puzzle
Build Me

Build Me

Use logic to place tiles in a grid. A puzzle designed by Toni Cameron of ReimaginED Teaching.

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Puzzle
Log Calculator

Log Calculator

Logarithms come to the rescue when a quirky calculator foils your attempts to multiply and divide large numbers.

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Puzzle
Fraction Finder

Fraction Finder

Use a variety of clues to determine the location of points on a number line. All locations are fractions.

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Puzzle
Transformation Islands

Transformation Islands

Guide a point through lava fields to build an embodied understanding of reflection and rotation.

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