Key elements are the nature of mathematics as a science of pattern and order, an understanding of how children learn mathematics, a view of teaching mathematics as a problem-solving endeavor, and specific methods for integrating assessment with instruction. Tasks provide a structure for learning to work together and assume high standards for student performance, communication, and understanding of mathematical ideas. Problems focus on proportional reasoning, generalizing from patterns, spatial reasoning, and visualization. Open-ended questions for grades four through nine. Leading questions to motivate students to go beyond the first answer.
All problems are in English and Spanish.
A resource that educates teachers about teaching and evaluating reasoning and problem solving, and offers reasoning and problem-solving challenges for students. Includes performance tasks, problem-specific rubrics, and recommendations for basing instructional decisions on accurate assessment of student problem solving, reasoning, and communication skills. Essays accompanied by illustrative tasks from workplace and everyday contexts for high school students. How to develop curricula so that students learn to solve problems they are likely to encounter in life. More than 100 mathematics problems that three through six people can solve together, with each person holding information needed to find the solution.