This timely new book is filled with essential research-based information that teachers and pre-service teachers alike need in order to help more students achieve mathematical standards by employing the concrete to representational to abstract (CRA) sequence of instruction with forms of algebraic equations. Proven to help students of all levels acquire and retain knowledge of mathematical concepts better than repeated abstract instruction alone, the CRA sequence of instruction employs: the use of hands-on manipulatives, learning to draw pictures of the steps, and finally transitioning from the pictorial representations to true abstract instruction expected by most state standards. Features placement test and fluency probes to help inform instruction and improve student proficiency. The research for CRA is powerful. However, there are few models out there that guide teachers in their delivery. All practicing teachers of mathematics, especially those who teach math to students who struggle or who have a disability, will benefit greatly from the techniques, content, and research of Witzel and Riccomini's new book, a research-based, hands-on, applicable guide for mathematics educators everywhere.
- ISBN10 0205567401
- ISBN13 9780205567409
- Publish Date 27 August 2010
- Publish Status Out of Print
- Out of Print 3 April 2014
- Publish Country US
- Imprint Pearson
- Format Paperback
- Pages 224
- Language English