Error Patterns in Computation: Using Error Patterns to Help Each Student Learn, Tenth Edition Robert B. Ashlock, Covenant College The only text of its kind to show math teachers how to identify typical error patterns! As students learn about mathematical operations and methods of computation, they may adopt erroneous procedures and misconceptions. This engaging book was written to model how the instructor can make thoughtful analyses of their students' work and in so doing, discover patterns in the errors they make. This supplementary text considers reasons why student may have learned erroneous procedures in the first place as well as presenting strategies for helping those students. Readers will come away from the book with a clear vision of how to use student error patterns to gain more specific knowledge of their strengths and therefore how to plan their future instruction. In addition to being substantially revised, the new edition offers greater emphasis on the following important topics: Using diagnosis as a part of formative assessment, including open-ended assessment and problem writing as examples. Making connections among facts, procedures, and concepts by applying big ideas: Compensation principles, relations between operations, and "There are many names for a number" are examples. Formulating a distinction between misconceptions and error patterns in computation. Understanding our system of numeration. Understanding the meanings of operations of arithmetic so they will know when to use each operation when solving problems. How to represent concepts and procedures in a variety of ways. Using classroom discourse, how to listen carefully and respond with questions that probe and guide thinking. Assessing dispositions. Planning varied instruction. The puzzle-like organization of the book engages readers thoroughly.