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"Has this ever happened to you?

'My lecture went perfectly! I worked the sample problems. I could tell the students really understood the material.' 

The next day: 'I don’t know what went wrong! I thought all my students understood what I went over yesterday...' "

Read more from Frederick Dillon, author of Your Mathematics Standards Companion, High School, and The Common Core Mathematics Companion: The Standards Decoded, High School, on Corwin Connect.

"In the past, and even many classrooms today, a math class involved the teacher presenting a lesson, then students practicing the procedures therein, and the teacher correcting students along the way. But things are changing!"

Read more from Teresa Lara-Meloy, author of Mathematical Argumentation in Middle School-The What, Why, and How, on Corwin Connect.

"In our work, we help teachers support rich, inclusive mathematical discussions among all students. For these discussions to happen, a classroom culture must be developed based on what are often new norms for mathematics class: that students should listen to each other, not just the teacher; that mistakes are OK, even welcomed, as students search for mathematical truth together. New norms take time and deliberate effort to develop."

Read more from Jennifer Knudsen, author of Mathematical Argumentation in Middle School-The What, Why, and How, on Corwin Connect.

"Debriefing is a daily exercise in most professions: business, politics, law enforcement, psychology, healthcare, law, etc. It is often seen as integral to the profession as members reflect on their learning experiences, track their progress, and name their understandings. In truth, debriefing is accepted as an everyday necessity in order for the professional to advance in his/her practice."

Read more from Margie Pearse, author of Teaching Numeracy, on Corwin Connect.

You want to teach mathematics to students in the middle grades—but are you ready? Early adolescents have very unique characteristics that you need to be aware of and can capitalize on to facilitate productive lessons. Here are 6 tips from Lois Williams, author of The Mathematics Lesson-Planning Handbook, Grades 6-8, for teaching mathematics in the middle grades that capitalize on middle school students’ characteristics.

The Teacher Clarity Playbook co-authors Douglas Fisher and Nancy Frey focus on five powerful things to increase clarity for your mathematics students.