# Books for Mathematical Understanding

• Nix the Tricks: http://nixthetricks.com/
Highlighting the pedagogical pitfalls of jumping to the shortcuts,  this is a collection of math teachers’ “tricks,” why they undercut student understanding, and what should be used instead.

# Books For Teaching Practices

• Principles to Actions: Ensuring Mathematical Success for All (NCTM)
• Putting the Practices Into Action (O’Connell and SanGiovanni) is an excellent resource for learning more about these practices and how to develop them in your students.

# Better Understanding the Core Standards

• The Common Core Standards in Mathematics
http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf
The document lists all of the Common Core Standards in Mathematics.  It’s convenient because it lists not only your grade level, but the grade levels before and after yours.
• Progressions in the Common Core Standards
http://math.arizona.edu/~ime/progressions/
These documents trace specific topics through a range of grade levels, illustrating how that topic progresses (e.g., how fractions are handled in 3rd, 4th, and 5th grade).
• Mathematical Musings
http://commoncoretools.me/
Tools for the Common Core Standards (see the Resources page) as well as occasional blog posts about specific topics.
• “I Can” Common Core Standards
http://www.thecurriculumcorner.com/2012/12/03/i-can-common-core-standards-k-5/
The Common Core Standards as viewed from the student’s perspective. (Thanks to Susan Pratt for the tip.)
• Illustrative Mathematics
http://www.illustrativemathematics.org/
A project dedicated to helping teachers and students understand the Common Core Standards, complete with sample progressions and problems for students.  This is written by many of the same people who developed the Common Core Standards for Mathematics themselves, so you can be confident it aligns well.

# Classroom Materials

• Illuminations (from the NCTM): http://illuminations.nctm.org/.  Lesson plans and activities for teaching mathematics.  NCTM (National Council for Teachers of Mathematics, http://www.nctm.org) has a huge number of high-quality resources as well.
• Illustrative Mathematics
http://www.illustrativemathematics.org/
A project dedicated to helping teachers and students understand the Common Core Standards, complete with sample progressions and problems for students.  This is written by many of the same people who developed the Common Core Standards for Mathematics themselves, so you can be confident it aligns well.