• Summary
  • Contents
  • Subject index

The Standards for Mathematical Practice, according to the CCSS document describe the mathematical “habits of mind” that teachers, at all levels, should develop in their students, and without which the content standards cannot be successfully implemented. Attention to the Mathematical Practices connected with content must be enacted in teaching, which will require professional development. Though the CCSS Mathematical Content Standards differ in detail from other content standards, their form is familiar to teachers: a list of things to know. The Mathematical Practices are not so easily condensed into a lesson or unit, not so easily tested and, generally, not so familiar. Content standards are specified grade by grade and build on each other rather than repeating year after year. The Mathematical Practices are different. Though ...


There is one predominant theme that is carefully threaded throughout this book: the CCSS for Mathematical Practice. When the K–12 standards development teams established the common mathematics content, they also created a list of standards for mathematical practice. These eight practices are based on research and delineate how students should learn mathematics with meaning. While common mathematics content across state borders is a remarkable achievement with tremendous possibilities, the mathematical practice standards provide the real potential for changing mathematics teaching and learning. These standards are:

  • Make sense of problems and persevere in solving them
  • Reason abstractly and quantitatively
  • Construct viable arguments and critique the reasoning of others
  • Model with mathematics
  • Use appropriate tools strategically
  • Attend to precision
  • Look for and make use of structure
  • Look for and express regularity in repeated reasoning

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