Mathematics Formative Assessment- 75 Practical Strategies for Linking Assessment, Instruction, and Learning by Page Keeley and Cheryl Rose Tobey (2011) is published by Corwin Press and co-published by the National Council for the Teaching of Mathematics (NCTM). The book includes a description of 75 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 discussion, 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 75 FACTs included in this book (* indicates the same technique is included in the science version of the book):
A&D Statements* Download the template
Agreement Circles*
Always, Sometimes, or Never True Download the template
Card Sorts* Download the template
CCC: Collaborative Clued Corrections*
Comments-Only Marking
Commit and Toss*
Concept Attainment Cards*
Concept Card Mapping*
Concept Cartoons*
Create the Problem
Every Graph Tells a Story*
Example, Non-Example* Download the template
Fact-First Questioning*
Feedback to Feed-Forward* Download the template
Fist to Five*
Four Corners*
Frayer Model* Download the template
Friendly Talk Probes*
Give Me Five*
Hot Seat Questioning*
Human Scattergraph*
Is It Fair?
I Used to Think...But Now I Know...* Download the template
Justified List*
Justified True-False Statements* Download the template
K-W-L Variations* Download the template
Learning Goals Inventory (LGI)* Download the template
Look Back* Download the template
Matching Cards*
Mathematician's Ideas Comparison* Download the template
More A-More B Probes*
Muddiest Point*
No-Hands Questioning*
Odd One Out* Download the template
Opposing Views Probes*
Overgeneralization Probes
Partner Speaks*
Pass the Problem
P-E-O Probes*
Peer-to-Peer Focused Feedback Download the template
A Picture Tells a Thousand Words*
POMS*
Popsicle Stick Questioning*
PVF: Paired Verbal Fluency*
Question Generating*
Response Cards Download the template
Same A-Same B Probes
Sequencing Cards*
Sticky Bars*
Strategy Harvest
Strategy Probe
Student Evaluation of Learning Gains* Download the template
Student Interviews*
Terminology Inventory Probe (TIP)* Download the template
Ten-Two*
Thinking Log*
Think-Alouds
Think-Pair-Share*
Thought Experiments*
Three-Minute Pause*
3-2-1* Download the template
Thumbs Up, Thumbs Down, Thumbs Sideways*
Traffic Light Cards*
Traffic Light Cups*
Traffic Light Dots*
Two-Minute Paper*
Two or Three Before Me*
Two Stars and a Wish*
Two Thirds Testing*
Volleyball, Not Ping-Pong!*
Wait Time Variations*
What Are You Doing and Why?*
Whiteboarding*
Word Sort