During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students - when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation.
"My work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem." - Geoff Krall from his book, Necessary Conditions.
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Geoff Krall is a math coach for the New Tech Network, supporting teachers and administrators. He taught high school math in Texas, the last few years of which were under the New Tech model, which emphasizes inquiry, collaboration, communication, and real-world connections. He lives in Colorado, where he and his wife, two kids, three cats, and varying numbers of chickens live and play in the mountains. He also has a calculator tattoo—a permanent commitment to math.
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