I. Teaching mathematics: foundations and perspectives. Teaching mathematics in the 21st century -- Exploring what it means to know and do mathematics -- Teaching through problem solving -- Planning in the problem-based classroom -- Creating assessments for learning -- Teaching mathematics equitably to all children ---Using technological tools to teach mathematics -- II. Development of mathematical concepts and procedures. Developing early number concepts and number sense -- Developing meanings for the operations -- Developing basic fact fluency -- Developing whole-number place-value concepts -- Developing strategies for addition and subtraction computation -- Developing strategies for multiplication and division computation -- Algebraic thinking, equations, and functions -- Developing fraction concepts -- Developing fraction operations -- Developing concepts of decimals and percents -- Ratios, proportions, and proportional reasoning -- Developing measurement concepts -- Geometric thinking and geometric concepts -- Developing concepts of data analysis -- Exploring concepts of probability --Developing concepts of exponents, integers, and real numbers -- Appendices: A. Standards fro mathematical practice -- NCTM mathematics teaching practices: from principles to actions -- C. Guide to Blackline Masters -- D. Activities at a glance.