### 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.

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