Conjectures and Counterexamples - Inductive Reasoning for Logic, Math, or High School Geometry: 2 page visual interactive "doodle notes" set In this doodle note lesson: Inductive reasoning (what it means and how it works) What is a conjecture? What is a counterexample? It only takes one counterexample to prove a conjecture false How to test a conjecture using different cases and examples Practice determining whether a conjecture is true or false Finding counterexamples for both math situations and non-mathematical conjectures Drawing diagrams as counterexamples for geometry examples Statements that are always true, sometimes true, or never true Practice examples When students color or doodle in math class, it activates both hemispheres of the brain at the same time. There are proven benefits of this cross-lateral brain activity: - new learning - relaxation (less math anxiety) - visual connections - better memory & retention of the content! Students fill in the sheets, answer the questions, and color, doodle or embellish. Then, they can use it as a study guide later on. Graphic doodle and sketch notes take full advantage of Dual Coding Theory (the way brains process visual and linguistic information) to maximize retention. Visual note taking strategies like sketch notes or doodle notes are based on dual coding theory. When we can blend the text input with graphic/visual input, the student brain processes the information differently and can more easily convert the new learning into long-term memory. This strategy also integrates the left and right hemispheres of the brain to increase focus, learning, and retention!
