TY - BOOK AU - SanGiovanni,John TI - Mine the gap for mathematical understanding: common holes and misconceptions and what to do about them : / SN - 9781506337678 U1 - 372.7 PY - 2017/// CY - Thousand Oaks, California : PB - Corwin, A SAGE Company, KW - Mathematics KW - Study and teaching (Elementary) KW - Elementary school teachers KW - Training of KW - Mathematics teachers N1 - Includes bibliographical references; Primary N2 - Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students' responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students' misconceptions and incomplete understandings as much as their correct ones-because it's the gap in their understanding today that holds the secrets to planning tomorrow' ER -