1. What is mathematics? a study of patterns and relationships a way of thinking an art a language a tool

2. Three General Factors

3. Principles for School Mathematics I 1. Equity Principle - Excellence in mathematics education requires equity-high expectations and strong support for all students 2. Curriculum Principle - A curriculum is more than a collection of activities: It must be coherent, focused on important mathematics, and well articulated across the grades Principles and Standards for School Mathematics National Council of Teachers of Mathematics April 2000

4. Principles for School Mathematics II 3. Teaching Principle - Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well 4. Learning Principle - Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge Principles and Standards for School Mathematics National Council of Teachers of Mathematics April 2000

5. Principles for School Mathematics III 5. Assessment Principle - Assessment should support the learning of important mathematics and furnish useful information to both teachers and students 6. Technology Principle - Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students ’ learning Principles and Standards for School Mathematics National Council of Teachers of Mathematics April 2000

6. Where Can You Turn? Resources for Teachers I National Guidelines for School Mathematics State Guidelines Research History Textbooks and Other Materials

7. Where Can You Turn? Resources for Teachers II Electronic Materials Testing Professional Organizations Professional Development Other Teachers