I Students explore mathematical ideas in ways that help them develop depth of understanding.
Students learn mathematics when they understand it deeply and are able to use it effectively.
To achieve mathematical understanding, students should be actively engaged in doing meaningful mathematics, discussing mathematical ideas, and applying mathematics in interesting and thought provoking situations. Students should have coherent and comprehensive curricula that foster mathematical development over time. It is important to engage students in tasks designed to challenge them in multiple ways. Projects are excellent vehicles for involving students in exploration of mathematical concepts. Activities that build upon prior knowledge and provide opportunities to solve problems that become progressively deeper, broader, and more sophisticated help students achieve more advanced levels of proficiency.