Mathematics Formative Assessment- 50 New Strategies for Linking Assessment, Instruction, and Learning by Page Keeley and Cheryl Rose Tobey, is published by Corwin Press and co-published by the National Council on Teaching Mathematics (NCTM). This book (volume 2) adds 50 more practical techniques to the 75 techniques in Volume 1. Mathematics educators now have 125 techniques to inform instruction while simultaneously supporting engaged learning. Like Volume 1, this book includes a description of 50 FACTs (Formative Assessment Classroom Techniques) that can be used for the purposes of eliciting and identifying preconceptions, engaging and motivating students, activating thinking and promoting metacognition, providing stimuli for math discussions, initiating mathematical investigation, supporting concept development and transfer of knowledge, improving questioning and responses, providing feedback, supporting peer and self-assessment, and reflecting on learning.  Several of the FACTs can be used along with the Uncovering Student Thinking in Mathematics probes. Below is a list of the 50 FACTs included in this book (* indicates the same technique is included in the science version of the book). Some of the FACTs include a link to a downloadable template that can be used to customize the FACT.

Comment Coding*

Concept Mix Up Probes*

Confidence Level Assessment*

Conjecture Cards

Cover-Up

Enhanced Multiple Choice*

Error Analysis

Extended Sticky Bars*

Eye Contact Partners*

Feedback Check-Ins

Feedback Focused Group Discourse

Feedback Sandwich* Download the template

Find Someone Who Download the template

Fingers Under Chin*

Flip the Question

Four Corners Jigsaw*

Gallery Walk*

Group Frayer Model*

Group Talk Feedback* Download the template

Homework Card Sort*

I Think-I Rethink*

Interactive Whole Class Card Sorting

Learning Intentions*

Learning Intentions Reflection

Let’s Keep Thinking*

Lines of Agreement*

Most and Least Sure About

Now Ask Me a Question

Partner Strategy Rounds

Plus-Delta* Download the template

PMI (Plus-Minus-Interesting)* Download the template

Questioning Cue Cards Download the template

Ranking Tasks*

RAQ (Revise-Add, Question) Feedback*

Reflect Aloud

Reflect Then Self-Assess Download the template

“Rules that Expire” Probes

Seeing Structure

Slide Sort*

Sort Envelopes

Structures for Taking Action

Success Indicators*

Success Indicator Problem Generating

Take Stock

Talk Moves*

Thermometer Feedback*

Traffic Light Sliders*

VDR (Vote, Discuss, Revote)*

What Stuck With You Today?

X Marks the Spot Download the template