UnSOLVED: Flying Squirrel: Advanced Yet Accessible Problems in Mathematics

Looking for challenging and engaging math that extends beyond finding answers? UnSOLVED: Advanced Yet Accessible Problems in Mathematics is a series of guided explorations into problems that remain unsolved in the world of mathematics. There are no solutions; they have not been proven true or false. Each book in the series presents a different unsolved problem in an easily accessible context, yet reveals an advanced depth of understanding. Follow along to discover patterns, examine special cases, and learn about these mathematical mysteries. Mathematicians of all ages can participate in these tasks by applying elementary math concepts.

Low Floor: everyone can get on board, simple starting point
High Ceiling: room to grow and stretch beyond the start, not limiting

UnSOLVED: Flying Squirrel
The problem posed in this book is one of the most famous open problems in mathematics: the Collatz Conjecture or 3n+1. Patterns, structures, and relationships are explored within the sequences of a simple function. This long-term task is easily accessible for intermediate grade students, yet continues to stump present-day mathematicians. No counterexample nor theorem has been found since 1937 when the problem was first posed. Children and adults are guided through this mathematical mystery with a focus on logic, reasoning, and efficiency, while applying elementary math concepts. The work leans heavily on multiplication, place value, and halving. What exactly is unsolved in this Flying Squirrel problem?

"Mathematics is not yet ripe enough for such questions." -Paul Erdős