A process that includes looking for patterns and making conjectures is called _______________________.

A process that includes looking for patterns and making conjectures is called mathematical reasoning or inductive reasoning.

Inductive reasoning involves observing specific instances or patterns and formulating general principles or conjectures based on these observations. This is a fundamental aspect of mathematical thinking, where mathematicians analyze data and outcomes to derive broader theories or hypotheses. For example, if you observe that the sum of the first few odd numbers results in a perfect square, you might make a conjecture that this pattern continues indefinitely.

Mathematical reasoning is pivotal in problem-solving and proving theorems, as it allows individuals to make educated guesses that can later be verified through deduction or experimentation. This method encourages exploration and creativity, as it pushes the boundaries of existing knowledge while relying on evidence and logic to substantiate claims.