CHAPTERhttps://pubs.nctm.org/display/book/9781680540161/front-1.xmlDedication2021-12-13https://pubs.nctm.org/display/book/9781680540161/front-2.xmlAcknowledgments2021-12-13https://pubs.nctm.org/display/book/9781680540161/front-3.xmlPreface2021-12-13https://pubs.nctm.org/display/book/9781680540161/c00.xmlIntroduction2021-12-13https://pubs.nctm.org/display/book/9781680540161/c01.xml Chapter 1 Introducing the Five Practices2021-12-13https://pubs.nctm.org/display/book/9781680540161/c02.xml Chapter 2 Laying the Groundwork: Setting Goals and Selecting Tasks2021-12-13https://pubs.nctm.org/display/book/9781680540161/c03.xml Chapter 3 Investigating the Five Practices in Action2021-12-13https://pubs.nctm.org/display/book/9781680540161/c04.xml Chapter 4 Getting Started: Anticipating Students’ Responses and Monitoring Their Work2021-12-13https://pubs.nctm.org/display/book/9781680540161/c05.xml Chapter 5 Determining the Direction of the Discussion: Selecting, Sequencing, and Connecting Students’ Responses2021-12-13https://pubs.nctm.org/display/book/9781680540161/c06.xml Chapter 6 Ensuring Active Thinking and Participation: Asking Good Questions and Holding Students Accountable2021-12-13https://pubs.nctm.org/display/book/9781680540161/c07.xml Chapter 7 Putting the Five Practices in a Broader Context of Lesson Planning2021-12-13https://pubs.nctm.org/display/book/9781680540161/c08.xml Chapter 8 Working in the School Environment to Improve Classroom Discussions2021-12-13https://pubs.nctm.org/display/book/9781680540161/c09.xml Chapter 9 The Five Practices: Lessons Learned and Potential Benefits2021-12-13https://pubs.nctm.org/display/book/9781680540161/appa.xml Appendix A Web-based Resources for Tasks and Lesson Plans2021-12-13https://pubs.nctm.org/display/book/9781680540161/appb.xml Appendix B Lesson Plan for Building a Playground Task2021-12-13https://pubs.nctm.org/display/book/9781680540161/appc.xml Appendix C Bag of Marbles Task Monitoring Chart2021-12-13https://pubs.nctm.org/display/book/9781680540161/ref1.xmlReferences2021-12-13https://pubs.nctm.org/display/book/9781680540161/pro.xml5 Practices: Professional Development Guide2021-12-13https://pubs.nctm.org/display/book/9781680540154/front-1.xmlCatalyzing Change in High School Mathematics Task Force and Writing Team2026-03-23https://pubs.nctm.org/display/book/9781680540154/front-1.pdf2026-03-23Catalyzing Change in High School Mathematics Task Force and Writing Teamhttps://pubs.nctm.org/display/book/9781680540154/front-2.xmlAcknowledgments2026-03-23https://pubs.nctm.org/display/book/9781680540154/front-2.pdf2026-03-23Acknowledgmentshttps://pubs.nctm.org/display/book/9781680540154/front-3.xmlPreface: The Purpose of Catalyzing Change 2026-03-23https://pubs.nctm.org/display/book/9781680540154/front-3.pdf2026-03-23Preface: The Purpose of Catalyzing Change https://pubs.nctm.org/display/book/9781680540154/c01.xmlIntroduction2026-03-23https://pubs.nctm.org/display/book/9781680540154/c01.pdf2026-03-23Introductionhttps://pubs.nctm.org/display/book/9781680540154/c02.xmlThe Purposes of School Mathematics2026-03-23https://pubs.nctm.org/display/book/9781680540154/c02.pdf2026-03-23The Purposes of School Mathematicshttps://pubs.nctm.org/display/book/9781680540154/c03.xmlCreating Equitable Structures2026-03-23https://pubs.nctm.org/display/book/9781680540154/c03.pdf2026-03-23Creating Equitable Structureshttps://pubs.nctm.org/display/book/9781680540154/c04.xmlImplementing Equitable Instruction2026-03-23https://pubs.nctm.org/display/book/9781680540154/c04.pdf2026-03-23Implementing Equitable Instructionhttps://pubs.nctm.org/display/book/9781680540154/c05.xmlEssential Concepts In High School Mathematics2026-03-23https://pubs.nctm.org/display/book/9781680540154/c05.pdf2026-03-23Essential Concepts In High School Mathematicshttps://pubs.nctm.org/display/book/9781680540154/c06.xmlOrganizing High School Mathematics2026-03-23https://pubs.nctm.org/display/book/9781680540154/c06.pdf2026-03-23Organizing High School Mathematicshttps://pubs.nctm.org/display/book/9781680540154/c07.xmlCatalyzing Change: Next Steps2026-03-23https://pubs.nctm.org/display/book/9781680540154/c07.pdf2026-03-23Catalyzing Change: Next Stepshttps://pubs.nctm.org/display/book/9781680540154/back-1.xmlReferences2026-03-23https://pubs.nctm.org/display/book/9781680540154/back-1.pdf2026-03-23References