Math Websites: Professional Development and Teaching Ideas

Here's a list (exported from Diigo) of some posts and resources I wanted to be able to come back to (often for the links within those posts as well!). The division between this list and some others I've made, especially Classroom Culture and Mathematical Practices, is rather arbitrary.

FEEDBACK AND ASSESSMENT

• Feedback Research: Butler's Effects on Intrinsic Motivation & Performance (1986) and Task-Involving and Ego-Involving Properties of Evaluation (1987) | mathed.net
• Mathematics Assessment Project | U. of Nottingham + Shell
• Questioning Wiggins' Definition of Feedback | Michael Pershan, Rational Expressions
  Things to ponder about feedback...
• Giving Student Feedback: 20 Tips To Do It Right | InformED :
  Very useful checklist.

LEARNING ABOUT TECHNOLOGY

• Learn Desmos | Michael Fenton
  Includes a series of challenges.

SPECIFIC MATH TOPICS

• Fraction Division (partitive, quotative, etc.) | Christopher Danielson
• Fraction Divison: Three-eighths of a Pile | Justin Lanier
• Exploding Dots | G'Day Math (James Tanton)
  "Exploding Dots" are about thinking of each digit in a number as the same thing as 10 of the digit to right of it, basically. The way James Tanton goes on to use this concept is VERY powerful: see, for instance, Lesson 2.2 on decimal division. Definitely considering using this in class!!
• Math Teaching & Ending Racism | Max Ray, Math Forum
  Not crazy about their title, so I retitled it! Interesting talk motivating teaching proportional reasoning and statistics to help our students grow into people who can fight "fog" of racism by analyzing and rethinking perceptions.
• Quadratics: Mighty Square! | 17GoldenFish
  Interesting description of success with quadratics by teaching completing the square first, then quadratic formula, then factoring.

LESSON DESIGN

• A Designer Speaks | Malcolm Swan of MARS/Shell Centre
  Short paper, but LOTS to unpack here: purposes for learning math, lesson design, constructivism, group work, transmission vs. discovery/collaboration, math task types that encourage concept development, misconceptions, questioning, reasoning... Wow!
• Thinking Through a (Math) Lesson Protocol
  Linked by @mpershan on Twitter. Have not read through extensively yet, but looks sound.

OTHER CLASSROOM TEACHING PRACTICES

• Implementing the Mathematical Practice Standards
  Illustrations, student dialogues, & text describing the Common Core Standards for Mathematical Practice in action.
• 7 'great' teaching methods not backed up by evidence | Durham U.
  Authors argue evidence does not support certain teaching practices widely regarded as helpful. I probably don't agree with all this, but it's a good self-check.
• The Math Resource Primer | Team Mississippi Math
  Good resources for lesson and unit planning, arranged by need (example: "my lessons are too boring").
• Problem-Solving Strategies & CC Math. Practices | Max Ray (Math Forum)

OTHER/NOT YET SORTED:

• Curriculum Inspirations | Mathematical Association of America
  Haven't looked through this yet but at a glance, it looks very promising for problem solving/mathematical practices.
• EnCoMPASS Analysis of Student Work
  Math Forum PLC (more or less) to analyze student work.
• Math Teacher Resources from I Speak Math
  Big list of math teaching resources, with pointers to lesson plans, problems, professional development...
• Basic Skills vs. Conceptual Understanding: Bogus Dichotomy (H. Wu)
  Interesting-looking paper arguing that basic skills can be taught in a way that ties in with conceptual understanding; in particular, dividing fractions can be taught as an inverse of multiplication, not just with pictures.
• Inside Mathematics
  Includes Common Core resources, problems of the month, performance tasks and other assessments, etc.