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 language of mathematics—positively affect participation and engagement among all students.

Principles to Action, NCTM

The beginning of the school year offers teachers and students a fresh start full of exciting possibilities. From the first day of class, as we begin to learn about each of the students in front of us, we have the opportunity to set the stage for how learning math will look, sound, and feel throughout the year. We also begin to foster the attitudes and beliefs that are important in shaping a mathematical classroom community in which each and every student is positioned as a capable learner and doer of mathematics, truly believes their voice is valued and heard, and understands that we learn math by doing deep and meaningful mathematics together. Building this classroom community requires a purposeful process that takes time and careful attention. Continue reading “Building a Mathematical Classroom Community”

The Intersection of Fraction Talks and Clothesline Math: Formative Assessment and the 5 Practices

By Jenna Laib

My sixth graders are weary of pre-assessments.

No matter how many times we discuss the goal of a pre-assessment–for me to learn more about their current strategies and understandings, so that I can design learning experiences that fit them better–all of them seem to want to impress me with perceived “perfection.” (As flattering as this is, they are missing the point.) Continue reading “The Intersection of Fraction Talks and Clothesline Math: Formative Assessment and the 5 Practices”

The IM 6–8 Math Curriculum Changed My Math Methods Experience

By Anna Polsgrove

When I first started the Math Methods course at University of California, Irvine, all of my ideas on how to learn math took a complete 180.

During the first two months, a million questions swirled in my head as I worked through problems with my classmates: We don’t just teach the algorithm anymore? What do you mean “use representations to build conceptual understanding”? What is an area diagram? What are all of the multiple strategies to solve a problem? How am I supposed to anticipate misconceptions when I have never taught the curriculum?, just to name a few. Continue reading “The IM 6–8 Math Curriculum Changed My Math Methods Experience”

On Similar Triangles

By Ashli Black

The fact that a line has a well-defined slope—that the ratio between the rise and run for any two points on the line is always the same—depends on similar triangles.
(p.12, 6–8 Progression on Expressions and Equations)

As students are building their understanding of dilation at the beginning of grade 8 in Unit 2 of the LearnZillion Illustrative Mathematics 6–8 Math curriculum, an activity asks students to dilate different quadrilaterals using a given center and dilation factor on a square grid. Here are the results of two of the dilations in that activity involving triangles: Continue reading “On Similar Triangles”

NCSM and NCTM 2018 Roundup

It was great to see so many of you at NCSM and NCTM. If we missed you, or you weren’t able to attend, read our NCSM and NCTM round-up below.

We enjoyed the conversations we had with those of you that are using the IM 6–8 Math curriculum and are looking forward to High School and Elementary.

Check out some photos and all of the IM presentations below, including Bill McCallum’s The Promise of Open Curriculum.

Which presentations did you attend and which was your favorite? Continue reading “NCSM and NCTM 2018 Roundup”

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