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.
- 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.