6–8 Math

Why is 3 – 5 = 3 + (-5)?

Why is 3 – 5 = 3 + (-5)?

By William McCallum You will never have to subtract again. Students sometimes learn about addition and subtraction of integers using integer chips. These are circular chips, with a yellow chip representing +1 and a red chip representing -1. You start with the...

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Engaging All Students in Meaningful Mathematics

Engaging All Students in Meaningful Mathematics

“At the end of the day, this wasn’t about focusing on the objective, it was about making the objective meaningful to him.” The work of teaching is both invigorating and challenging. We want to instill a love of math and learning in every student, and ensure that each...

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Parent Math Night Using Illustrative Mathematics

Parent Math Night Using Illustrative Mathematics

Open House night; cue anxiety and sweaty palms! Hope my students’ parents don’t mind. I just began my seventh year of teaching middle school mathematics. Middle school is a limbo land filled with prepubescent pre-teens, drama, and students trying to find their...

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Planning for Meaningful Practice

Planning for Meaningful Practice

There is no shortage of available math resources for teachers to use in their classrooms. The difficult and time-consuming job for teachers is weeding through all of the tools to decide which best supports students in learning mathematics. It is a difficult job...

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What Is Right About Wrong Answers?

What Is Right About Wrong Answers?

When I first started teaching, at the end of each day, I would open my teacher’s guide, grab my pen, and thumb through the stack of completed worksheets. My eyes would dart quickly from the red answers in the teacher’s guide to the corresponding answers on each...

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What I Learned Today: Scale Drawings & Maps

What I Learned Today: Scale Drawings & Maps

I asked my 15-year-old what she learned today at school. She paused for a moment and then answered,  “What did you learn at school today?” It took me a while to think about what I had learned (which will make me more patient when I ask her again tomorrow), and then I...

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The IM Curriculum Changed How I Think About Math Instruction

The IM Curriculum Changed How I Think About Math Instruction

Growing up we usually think we are either a math person or not a math person. But, in preparing for this year I saw a picture that said ‘How to be a math person: Step 1: Do math Step 2: Be a person’ and I really started to look at math differently. I’ve been teaching...

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Planning to Use Pre-Unit Assessments

Planning to Use Pre-Unit Assessments

Time to start a new unit! What do you need to know before your students enter the room? NCTM’s Principles to Actions names several productive beliefs about assessments that will promote mathematical success for all. At the top of the list is that the “primary purpose...

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IM Preparing for the School Year

IM Preparing for the School Year

There are always so many things to do in preparation for a new school year.  At this point of the summer, to-do lists start getting made, materials get purchased, rooms are organized, and math class planning begins. Whether you are using the IM 6–8 Math...

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Building a Mathematical Classroom Community

Building a Mathematical Classroom Community

Classroom environments that foster a sense of community that allows students to express their mathematical ideas—together with norms that expect students to communicate their mathematical thinking to their peers and teacher, both orally and in writing, using the...

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