ABSTRACT

Students will progress according to their age, mathematical experience, persistence, capacity, and the amount of time available. Every exploration has a number of features to support teachers’ work with students: the Problems, some Conversation Starters, the Solutions, and Algebra Connections. Some of them have an additional feature called a Classroom Vignette. Some of the Problem pages have Testing the Waters or Diving Deeper questions at the bottom of the page. Testing the Waters questions are less complex versions of the main problem. The Conversation Starters are observations and questions that can or should arise in discussion. Some explorations have a sample conversation called a Classroom Vignette. The explorations are designed so that students may spend much of their time working without direct instruction.