### What Is The Minicomputer?

The minicomputer is a research-based math "thinking tool" originally developed by the noted Belgian mathematician and educator, Georges Papy. He found that children who use this tool are able to perform mental calculations far beyond what is typical for their age group.

### What The Minicomputer Teaches

The minicomputer is a versatile tool can be used to teach place value, addition, subtraction, multiplication, division, and a variety of other mathematical concepts. It's a potent "mental workout" that helps build a child's math fluency. It's also very fun to play with!

How The Minicomputer Works

The minicomputer is divided into four quadrants or squares. Each square on the minicomputer represents a particular number. The lower right square is 1, the lower left 2, upper right 4, and upper left 8.

PIC1: GRID WITH NUMBERS (minicomp_value_1s_256px.jpg)

Numbers are represented by placing markers (or, in our game, gems) on different squares.

For example, this represents 4:

...and this represents 8:

### Using Multiple Gems

Other numbers can be represented by placing multiple gems on the minicomputer board. For example:

...this represents 3 (1 + 2): ...this represents 5 (1 + 4):

minicomp_3_256px.jpg minicomp_5_256px.jpg

...and this represents 7 (1 + 2 + 4):

minicomp_7_256px.jpg

### Using The Minicomputer For Computation

Students also can add, subtract, multiply, and divide with the minicomputer using different color gems. Students first place the gems to represent different parts of the expression, and then simplify by gluing gems. For example:

This placement represents 3 + 1: The two 1's can be combined to make another 2:

mc_3+1_0_256px.jpg mc_3+1_1_256px.jpg

...the new 2 and the old 2 make a 4: ...so 3 + 1 = 4:

mc_3+1_2_256px.jpg mc_3+1_eq_256px.jpg

### Using The Minicomputer To Understand Place Value

The minicomputer is also a wonderful tool for teaching place value. A student is introduced to the fundamental idea of a positional system very early and with small numbers. The minicomputer provides a simple way to visualize this concept by using multiple boards to represent the one's place, ten's place, hundred's place, etc.

The minicomputer is a wonderful way to teach place value. A student is introduced to the fundamental idea of a positional system very early and with small numbers. The minicomputer provides a simple way to visualize this concept by using multiple boards to represent the one's place, ten's place, hundred's place, etc.

minicomp_value_10s_256px.jpg minicomp_value_1s_256px.jpg

This visual representation of numbers help children learn that different parts of a number can be calculated independently. For example, here's how to represent the equation 60 + 12 = 70 (note that the calculation can be performed exclusively on the 10's board):

mc_60+12_10s_256px.jpg mc_60+12_1s_256px.jpg

A Fun, Versatile "Tool To Think With"

The minicomputer is a powerful learning tool and transforms math into a series of fun, game-like mental exercises. We hope you and your students enjoy these puzzles. Stay tuned for more MathBRIX games and tools, coming in the near future!

...and this represents 8: