"Adding It Up: Helping Children Learn Mathematics" is a comprehensive report by the Study Committee on Mathematics Learning, established by the National Research Council in 1998. The report synthesizes research on mathematics learning from pre-kindergarten to Year 8, offering advice for educators, researchers, publishers, policymakers, and parents. The committee, led by Jeremy Kilpatrick, includes experts from diverse backgrounds and was supported by a special oversight commission, reviewers, and commissioned reports. Funded by the U.S. Department of Education and the National Science Foundation, the report aims to provide a balanced, research-based approach to mathematics education. The report identifies two central problems: achievement and equity. It argues that traditional curricula and teaching methods in the U.S. produce students who are proficient in procedural fluency but lack proficiency in other areas. It calls for a shift in mindset and a coordinated overhaul of the curriculum. The report defines mathematical proficiency as consisting of five strands: conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition. It emphasizes the need for a coherent, well-articulated set of learning goals for each grade level. The book includes chapters on number, algebra, measurement, geometry, and statistics, discussing research on teaching and learning. Chapter 9 focuses on teaching for mathematical proficiency, emphasizing the interaction between teachers, students, and mathematical content. Chapter 10 discusses developing teaching proficiency, proposing an extension of the five strands to describe components of teaching proficiency. However, the report is criticized for blurring the distinction between mathematical ability and teaching ability. The report is praised for its clarity, persuasiveness, and balanced approach. It is recommended for practitioners in mathematics education and provides valuable insights into curriculum development and teaching practices. The report is available as a book and online."Adding It Up: Helping Children Learn Mathematics" is a comprehensive report by the Study Committee on Mathematics Learning, established by the National Research Council in 1998. The report synthesizes research on mathematics learning from pre-kindergarten to Year 8, offering advice for educators, researchers, publishers, policymakers, and parents. The committee, led by Jeremy Kilpatrick, includes experts from diverse backgrounds and was supported by a special oversight commission, reviewers, and commissioned reports. Funded by the U.S. Department of Education and the National Science Foundation, the report aims to provide a balanced, research-based approach to mathematics education. The report identifies two central problems: achievement and equity. It argues that traditional curricula and teaching methods in the U.S. produce students who are proficient in procedural fluency but lack proficiency in other areas. It calls for a shift in mindset and a coordinated overhaul of the curriculum. The report defines mathematical proficiency as consisting of five strands: conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition. It emphasizes the need for a coherent, well-articulated set of learning goals for each grade level. The book includes chapters on number, algebra, measurement, geometry, and statistics, discussing research on teaching and learning. Chapter 9 focuses on teaching for mathematical proficiency, emphasizing the interaction between teachers, students, and mathematical content. Chapter 10 discusses developing teaching proficiency, proposing an extension of the five strands to describe components of teaching proficiency. However, the report is criticized for blurring the distinction between mathematical ability and teaching ability. The report is praised for its clarity, persuasiveness, and balanced approach. It is recommended for practitioners in mathematics education and provides valuable insights into curriculum development and teaching practices. The report is available as a book and online.