Transform your mathematics instruction with this rich collection of formative assessment techniques
Award-winning author Page Keeley and mathematics expert Cheryl Rose Tobey apply the successful format of Keeley’s best-selling Science Formative Assessment to mathematics. They provide 75 formative assessment strategies and show teachers how to use them to inform instructional planning and better meet the needs of all students. Research shows that formative assessment has the power to significantly improve learning, and its many benefits include:
- Stimulation of metacognitive thinking
- Increased student engagement
- Insights into student thinking
- Development of a discourse community
About the Author
Page Keeley is an author, speaker, and consultant who works with school districts and STEM organizations throughout the U.S. and internationally in the areas of formative assessment and teaching for conceptual change. She recently retired from the Maine Mathematics and Science Alliance (MMSA) where she was the Senior Science Program Director for 16 years, directing projects and developing resources in the areas of leadership, professional development, linking standards and research on learning, formative assessment, and mentoring and coaching. She has been the Principal Investigator and Project Director of three National Science Foundation–funded projects, including the Northern New England Co-Mentoring Network; PRISMS: Phenomena and Representations for Instruction of Science in Middle School; and Curriculum Topic Study: A Systematic Approach to Utilizing National Standards and Cognitive Research. In addition to NSF funded projects, she has directed state Math-Science Partnership (MSP) projects, including TIES K–12: Teachers Integrating Engineering into Science K–12, and a National Semi-Conductor Foundation grant, Linking Science, Inquiry, and Language Literacy (L-SILL). Keeley also founded and directed the Maine Governor’s Academy for Science and Mathematics Education Leadership, a replication of the National Academy for Science Education Leadership, of which she is a fellow. Keeley is the author of eighteen books and numerous journal articles and book chapters. She is also a co-author for Mc Graw-Hill’s elementary and middle school science programs. Keeley taught high school science for 2 years and middle school mathematics and science for 12 years before leaving the classroom in 1996. At that time she was an active teacher leader at the state and national level. She served two terms as president of the Maine Science Teachers Association and was the District II National Science Teachers Association (NSTA) director. She received the Presidential Award for Excellence in Secondary Science Teaching in 1992, the Milken National Distinguished Educator Award in 1993, was named the AT&T Maine Governor’s Fellow in 1994. As a nationally known professional developer and speaker, she received the National Staff Development Council’s (now Learning Forward) Susan Loucks-Horsley Award for Leadership in Science and Mathematics Professional Development in 2009, and the National Science Education Leadership Association’s Outstanding Leadership in Science Education Award in 2013. She has been a science education delegation leader for the People to People Citizen Ambassador Professional Programs, leading the South Africa trip in 2009, the China trip in 2010, the India trip in 2012, the Cuba trip in 2014, and the Peru trip in 2015. Prior to teaching, Keeley was a research assistant in immunogenetics at the Jackson Laboratory of Mammalian Genetics in Bar Harbor, Maine. She received her B.S. in Life Sciences from the University of New Hampshire and her Masters in Science Education from the University of Maine. In 2008, Keeley was elected the sixty-third president of the National Science Teachers Association (NSTA). She can be followed on Twitter @CTSKeeley and can be contacted through her website at www.uncoveringstudentideas.org or through Corwin for information about the professional development she and her colleagues provide.
Cheryl Rose Tobey is a senior mathematics associate at Education Development Center (EDC) in Massachusetts. She is the project director for Formative Assessment in the Mathematics Classroom: Engaging Teachers and Students (FACETS) and a mathematics specialist for Differentiated Professional Development: Building Mathematics Knowledge for Teaching Struggling Students (DPD); both projects are funded by the National Science Foundation (NSF). She also serves as a director of development for an Institute for Educational Science (IES) project, Eliciting Mathematics Misconceptions (EM2). Her work is primarily in the areas of formative assessment and professional development.
Prior to joining EDC, Tobey was the senior program director for mathematics at the Maine Mathematics and Science Alliance (MMSA), where she served as the co–principal investigator of the mathematics section of the NSF-funded Curriculum Topic Study, and principal investigator and project director of two Title IIa state Mathematics and Science Partnership projects. Prior to working on these projects, Tobey was the co–principal investigator and project director for MMSA’s NSF-funded Local Systemic Change Initiative, Broadening Educational Access to Mathematics in Maine (BEAMM), and she was a fellow in Cohort 4 of the National Academy for Science and Mathematics Education Leadership. She is the coauthor of six published Corwin books, including seven books in the Uncovering Student Thinking series (2007, 2009, 2011, 2013, 2014), two Mathematics Curriculum Topic Study resources (2006, 2012), and Mathematics Formative Assessment: 75 Practical Strategies for Linking Assessment, Instruction and Learning (2011). Before joining MMSA in 2001 to begin working with teachers, Tobey was a high school and middle school mathematics educator for ten years. She received her BS in secondary mathematics education from the University of Maine at Farmington and her MEd from City University in Seattle. She currently lives in Maine with her husband and blended family of five children.
Table of Contents
PrefaceAcknowledgmentsAbout the Authors1. An Introduction to Formative Assessment Classroom Techniques (FACTs) What Does a Formative Assessment-Centered Classroom Look Like? Why Use FACTs? How Does Research Support the Use of FACTs? Classroom Environments That Support Formative Assessment Connecting Teaching and Learning Making the Shift to a Formative Assessment-Centered Classroom2. Integrating FACTs With Instruction and Learning Integrating Assessment and Instruction Assessment That Promotes Thinking and Learning Linking Assessment, Instruction, and Learning: The Mathematics Assessment, Instruction, and Learning Cycle (MAIL Cycle) Stages in the MAIL Cycle Engagement and Readiness Eliciting Prior Knowledge Exploration and Discovery Concept and Skill Development Concept and Procedure Transfer Self-Assessment and Reflection Selecting and Using FACTs to Strengthen the Link Between Assessment, Instruction, and Learning3. Considerations for Selecting, Implementing and Using Data From FACTs Selecting FACTs Selecting FACTs to Match Learning Goals FACTs and the Common Core Standards for Mathematics Selecting FACTs to Match Teaching Goals The Critical Importance of Classroom Context in Selecting FACTs Planning to Use and Implement FACTs Starting Off With Small Steps Maintaining and Extending Implementation Using Data From the FACTs4. Get the FACTs! 75 Mathematics Formative Assessment Classroom Techniques (FACTs) #1. A & D Statements #2. Agreement Circles #3. Always, Sometimes, or Never True #4. Card Sorts #5. CCC: Collaborative Clued Corrections #6. Comments-Only Marking #7. Commit and Toss #8. Concept Attainment Cards #9. Concept Card Mapping #10. Concept Cartoons #11. Create the Problem #12. Every Graph Tells a Story #13. Example, Nonexample #14. Fact-First Questioning #15. Feedback to Feed-Forward #16. Fist to Five #17. Four Corners #18. Frayer Model #19. Friendly Talk Probes #20. Give Me Five #21. Hot Seat Questioning #22. Human Scatter Graph #23. Is It Fair? #24. I Used to Think . . . But Now I Know . . . #25. Justified List #26. Justified True-or-False Statements #27. K-W-L Variations #28. Learning Goals Inventory (LGI) #29. Look Back #30. Matching Cards #31. Mathematician's Ideas Comparison #32. More A-More B Probes #33. Muddiest Point #34. No-Hands Questioning #35. Odd One Out #36. Opposing Views Probes #37. Overgeneralization Probes #38. Partner Speaks #39. Pass the Problem #40. P-E-O Probes (Predict, Explain, Observe) #41. Peer-to-Peer Focused Feedback #42. A Picture Tells a Thousand Words #43. POMS: Point of Most Significance #44. Popsicle Stick Questioning #45. PVF: Paired Verbal Fluency #46. Question Generating #47. Response Cards #48. Same A-Same B Probes #49. Sequencing Cards #50. Sticky Bars #51. Strategy Harvest #52. Strategy Probe #53. Student Evaluation of Learning Gains #54. Student Interviews #55. Terminology Inventory Probe (TIP) #56. Ten-Two #57. Thinking Log #58. Think-Alouds #59. Think-Pair-Share #60. Thought Experiments #61. Three-Minute Pause #62. 3-2-1 #63. Thumbs Up, Thumbs Down #64. Traffic Light Cards #65. Traffic Light Cups #66. Traffic Light Dots #67. Two-Minute Paper #68. Two or Three Before Me #69. Two Stars and a Wish #70. Two Thirds Testing #71. Volleyball, Not Ping-Pong! #72. Wait Time Variations #73. What Are You Doing and Why? #74. Whiteboarding #75. Word SortAppendix: Annotated Resources for Mathematics Formative AssessmentReferencesIndex
Most Helpful Customer Reviews
Great book - was assigned reading in the high school where I worked last year - at a new school this year and it was so helpful that I bought it and suggested it to the math dept at my new school. Awesome and creative acitivities you can use with your students on any given day of the week to get a quick and informal snapshot of their understanding of a particular topic! The activities are fun and encourage student engagement and a deeper level of knowledge! math teach in LA