## Fencing Numbers

This week’s Puzzle Corner activity is a simplified version of a game called Fences. The original version has a 10 x 10 dot grid with the digits 0, 1, 2, and 3 spread repeatedly throughout. Each digit represents the number of line segments that will surround that square in a valid solution. For example, a… Continue Reading

## Where did AIMS come from? What has AIMS been doing? Where is AIMS going?

This post is the first of several that will outline some new directions for AIMS. Here I would simply like to give you a bit history. Some of you will know that AIMS is an outgrowth of the Graduate Math/Science Program at Fresno Pacific University. The AIMS Education Foundation got its start as the result… Continue Reading

## Are All Sides Equal

The object of this puzzle is to place ten pennies (or other small objects) along the sides of the activity sheet so that each side has exactly the same number. There are several different ways that this can be done. After students have found the solution(s) for ten pennies, they record it. They are then… Continue Reading

## Perplexing Pencil Problem

This week’s post introduces a wonderful topological puzzle. Topology is one of the newest fields in mathematics. To illustrate this, note that Henri Poincare’ (1854-1912), who is considered the founder of algebraic topology, published the first systematic treatment of topology in 1895. On the other hand, Euclid (330?-275? BCE), the father of geometry, wrote his… Continue Reading

## Arrow Arrangements

This particular puzzle comes from The Moscow Puzzles. The puzzle is found in the section entitled “Geometry with Matches,” which offers a selection of matchstick puzzles as “geometrical amusements that sharpen your mind.” Arrow Arrangements is one of the more difficult puzzles in this section, and requires students to understand and apply some basic geometric… Continue Reading

## Hatching the Egg

This week’s Puzzle Corner activity challenges students to rearrange the nine pieces of a paper egg to produce a number of different shapes resembling birds. Doing this will exercise students’ spatial visualization abilities while building their problem-problem solving persistence. Hatching the Egg is patterned after the “Magic Egg” puzzle that appears in the Pieter van… Continue Reading

## Relative Reckonings

This week’s Puzzle Corner activity comes from the field of recreational mathematics where people do math just for the fun of it. One of the areas of recreational mathematics is logic. Logic puzzles are usually challenging and are normally resistant to quick and easy solutions.The puzzle presented here, Relative Reckonings, is no exception. This puzzle… Continue Reading

## Coin Capers

The Puzzle Corner this week has two versions which are variations of a common theme in manipulation puzzles. In each game the goal is to switch the position of two or more sets of coins by moving them within the spaces provided. Coins may only move into adjacent empty spaces. No jumping is allowed, but… Continue Reading

## Tangled Hearts

This week’s activity is a disentanglement puzzle. These puzzles range from simple to difficult and most appear, at first glance, to be impossible. Once they are carefully studied, however, solutions usually present themselves. Since this puzzle is easily made from inexpensive materials, each student should have one. Make a sample copy of the puzzle beforehand… Continue Reading

## Leprechaun on the Loose

This week’s puzzle activity is another disentanglement puzzle. These puzzles range from simple to difficult and most appear, at first glance, to be impossible. Once they are carefully studied, however, solutions usually present themselves. Since this puzzle is easily made from inexpensive materials, each student should have one. Make a sample copy of the puzzle… Continue Reading