The document outlines five interdependent strands for teaching mathematics: conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition. An effective teacher plans practical tasks, organizes mathematical work in a social setting, encourages thinking and communication through questioning, helps students discuss concepts and solutions, and supports an equal environment for student opinions. A variety of teaching strategies are recommended including explanation, practice, games, problems, and student-led investigations where students discover and communicate mathematics independently. In addition to textbooks, teachers should utilize resources like manuals, workbooks, and electronics.