Silver, a former educator who conducts workshops with schools and state education departments, et al. present about 60 tools teachers of grades three through 12 can use to teach math. The tools build the type of mathematical reasoning and thinking in the Common Core State Standards (a new focus in this edition) and increase student engagement, differentiate instruction, and improve lessons and units, as well as assess student progress and integrate technology and multimedia. They focus on the Standards for Mathematical Practice, and each tool includes a section on building Common Core thinking (also new), and some include College and Career Readiness Anchor Standards for Reading, Writing, Speaking and Listening, or Language. Tools are organized by different styles of thinking and learning and include the purpose, an overview, implementation steps, and examples. This edition includes 13 new tools, formative assessment and technology sidebars, updated matrices, a revised final chapter on mosaic or multi-style tools, and a companion website. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)