Teachers can use these tools to promote discussions and help students move from concrete to abstract understanding of concepts.

GREENVILLE, Ala. — Toward the end of a math lesson on a sunny Friday in October, fourth-grade teacher D’Atra Howard and math instructional coach LaVeda Gray ducked out of the classroom to huddle.

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A dozen parents gathered around veteran math educator Leanna Baker, moments before students show up for what is billed as a math “festival” for students at Allendale Elementary School in Oakland. “Do ...