It involves difficult problem solving.

Is the ability to acquire knowledge without proof, evidence.

Is an inferential argument for a mathematical statement.

Is perfect knowledge that has total security from error.

Look for items or numbers that are repeated or series of events that repeat.

Data or information are recorded systematically in tables.

It is the process of working through details of a problem to reach a solution.

It is a problem that is inclined to being represented, analyzed and possibly solved with the methods of mathematics.

It pertains to the aspect of using different thoughts to create a valid argument that can be used to make a decision.

It starts with specific examples or observations and "deduces" (a confusing term) the apparent rules or patterns that lie behind them.

It starts with the rules and determine what the consequences will be. This is what we do in most of math, defining the rules for a mathematical entity.