Here is a growing list of some of my favorite resources.
Desmos – Free dynamic graphing calculator. One word – Wow!
Illustrative Mathematics – Resources aligned to Common Core Learning Standards
Mathematics Assessment Project – Sample Tasks
Mathematics Common Core Toolbox – Resources from The Charles A. Dana Center
Inside Mathematics – Classroom Examples
Shodor – Interactive Java applets from Project Interactivate
National Library of Virtual Manipulatives – Interactive resources organized by topic and grade level
Study Jams – Interactive tutorials for math and science by Scholastic
nctm.org – National Council of Teachers of MathematicsOrganizations
amtnys.org – Association of Mathematics Teachers of New York State
amtraonline.org – Association of Mathematics Teachers of the Rochester Area
learningforward.org – Professional Learning Association
A Mathematician’s Lament by Paul Lockhart. 2009: Bellevue Literary Press – A must read for anyone in mathematics education. Lockhart critiques the mundane traditional approach of teaching mathematics and challenges the reader to explore the true nature and beauty of mathematics. A comparison of the mathematics discipline to that of artists and musicians encourages teachers to capitalize on students’ curiosity and create a learning environment in which students experience real mathematics.
Ritchhart, Ron, Mark Church, and Karin Morrison. Making Thinking Visible: How to Promote Engagement, Understanding, and Independence for All Learners. San Francisco: Jossey-Bass, 2011
Karp, Karen S., Sarah Bush, and Barbara Dougherty. “13 Rules That Expire.” Teaching Children Mathematics Vol. 21, No. 1, August 2014.
Klymchuk, Sergiy. “Using Counter-Examples to Enhance Learners’ Understanding of Undergraduate Mathematics.” National Centre for Tertiary Teaching Excellence, 2008.
Yopp, David A. “Counterexamples as Starting Points for Reasoning and Sense Making.” Mathematics Teacher Vol. 106, No. 9, May 2013.