Math strategies that build community in your classroom

It’s tough to do math without sets, sums, and multipliers, so it stands to reason that it’d be tough to learn math solo, outside of a group.

Indeed, research shows that math is best learned in a community. In this post, we’ll explain why that is, what it looks like in a classroom, and how you can create a community for your math students.

What math community means: Creative classroom ideas

There are many types of math communities: online interest groups, professional organizations, the Mathletes.

In the context of a math classroom, a math community refers to the collaborative environment a teacher can create using both math strategies and social strategies (and by involving students’ parents and guardians). In a robust math community, all students feel comfortable sharing ideas, asking questions, and engaging in mathematical conversations.

In other words, math communities are student-centered. Rather than delivering information, teachers guide students. They encourage students to explore math concepts, make connections to the real world, and ask questions—of each other, and the teacher.

And in a math community, wrong answers aren’t dismissed—in fact, they’re an essential part of the learning process. In our webinar What Amazing K–12 Math Looks Like, educator and director of research at Desmos, Dan Meyer underlines the importance of students understanding “the value in their thinking—which means the value in their wrong answers.”

Benefits of math community: Equity in schools and more

A community-oriented math classroom can help each student learn, and all students learn. Here’s how.

  1. Increased engagement. When students feel a sense of belonging and connection in their math class, they’re more likely to be engaged and motivated. By promoting open discussions, group activities, and cooperative problem-solving, teachers can help students—even those who don’t think they’re “math people”—develop a genuine interest in math.
  2. Reduced math anxiety. Math anxiety affects at least 20% of students. It can hinder their growth in math and beyond. But in a supportive math community—where different styles and wrong answers are considered part of the process—those students can thrive. Embracing and working from incorrect answers encourages students to focus on the “how” of math, and to participate without fear of getting it wrong. They feel more comfortable asking questions, taking risks, and making mistakes as well as learning from them.
  3. Improved communication skills. In a math community, all students get the chance to communicate their mathematical thinking and reasoning. Explaining their ideas to others and listening to their classmates enhances their speaking and writing skills—in math, and across other subjects, too.
  4. Learning from diverse perspectives. A supportive math classroom community allows students from different backgrounds and with varying abilities to contribute to class and feel valued. Encouraging—and observing—the sharing of diverse perspectives fosters critical thinking, creativity, and problem-solving skills.
  5. Positive reinforcement. A strong math community creates an environment where students feel valued, respected, included, and supported. It’s fertile ground for a growth mindset, one in which students believe they actually can do math regardless of challenges or errors. A math community encourages risk-taking, resilience, and perseverance—in math, and beyond.

How to engage students in math lessons that build community

Want to know how to make math fun and build community? Here are some ways to get started.

  1. Encourage collaboration. Promote a culture of cooperation and teamwork by incorporating group activities, peer support, and class discussions into your lessons.
  2. Celebrate brilliance. Recognize a variety of efforts, insights, and accomplishments among students—including taking risks, and making mistakes. This will motivate all students to appreciate different ways of learning and the value of both process and product.
  3. Personalize support. Offering individualized help to students who need it shows commitment to their success and builds a supportive environment for everyone.
  4. Develop a growth mindset. Create a culture where mistakes are inevitable, even welcomed, as part of the learning process. Encourage perseverance and persistence.
  5. Choose meaningful tasks. Assign problems with real-world relevance. Working together to solve them helps students see  the “why” of math—and connect with each other in the process.
  6.  Play. Game-ifying problems and introducing friendly competition builds camaraderie and helps students find shared joy in math—a win-win!

More to explore

Centering students in math curriculum adaptations

Starting with a high-quality math program

In her research article, “Examining Key Concepts in Research on Teachers’ Use of Mathematics Curricula”, Janine Remillard described curriculum use as a dynamic and ongoing relationship between teachers and resources—a relationship shaped by both the teacher and characteristics of the resource.

I have found that while certain characteristics can make a math curriculum high-quality, it is only through its relationship with teachers that it creates truly meaningful math experiences for students.

In my own teaching experiences and now back in classrooms with teachers, I am convinced that no matter how well-constructed a lesson, it only gets better as teachers plan collaboratively and center their students.

Shaping lessons for the students in your classroom can be challenging because there is not one right way or time to adapt a lesson, and the reasons we adapt vary.

Sometimes we make relatively small tweaks to the wording of a prompt, a question the teacher should pose, or the timing of an activity.

Other times we make more substantial changes to the task or task structure in order to more clearly move toward the learning goal based on what we are seeing and hearing from students.

And then there are the times we realize in the midst of an activity we should have made an adaption in our planning.

I recently taught a 5th grade fractions lesson that provided a perfect example of the dynamic nature of the work.

Engaging in a math curriculum activity

This particular lesson falls at the end of the fraction addition and subtraction unit.

The Warm-Up of this lesson is a Number Talk, which made sense to the 5th grade teachers and I, given the unit focus.

We reviewed the mathematical concepts and problems in our planning session, anticipated that students might find common denominators, and agreed that the synthesis discussion around denominator choice aligned with the problems. 

While we anticipated that students would successfully add, the number choices in the string led students to solve each one the same exact way, with the only difference being whether they stated their sum in simplest form or not.

Halfway through, we could see the majority of the students were getting bored and it was hard to infuse curiosity and excitement around denominator choice because students had already generalized a way of finding a common denominator—which at this point in the unit was great!

In the midst of the Number Talk, we paused and debated pivoting our focus to the problems in relation to one another rather than denominator choice. But we knew that doing that would add extra time to the lesson, when we needed the majority of the time for the activities that followed.

So we wrapped it up and moved on, knowing we had time to discuss our choice in an upcoming planning session.

Adapting in ways that center student ideas

After class, I couldn’t stop thinking about revisions I would make if we had the opportunity to plan it all over again. Because although the problems in the string supported mental calculation and aligned with the lesson activities, the students needed something different at this point in their learning.

After reflecting with colleagues, we decided the timing of that particular Number Talk for these students was too late in the unit and wondered if a different routine would have made it more engaging.

Using that Number Talk as a rough draft (shout out to Mandy Jansen), I played around with different number choices and routines we might use in a second take on that lesson. 

If we wanted to stick with the same task structure, we could adjust the numbers to create a new Number Talk or True or False? routine that more explicitly encouraged relational reasoning and use of the properties.

For example, the following problem strings still attend to denominators when adding fractions but also open up the space for more interesting and engaging student discourse. 

Number Talk

True or False?

If we wanted to use a different structure altogether, we could try the Which One Doesn’t Belong? routine to provide opportunities for students to notice other interesting aspects.

In this activity, students share reasons why one of four items—in this case, equations—doesn’t belong. There is no single right answer because each object could both belong and not belong, depending on the student’s criteria. (If you’ve never tried this routine, it’s a must!)

Because I couldn’t wait until this lesson next year to see what students would do with one of these ideas, I asked them to write about the Which One Doesn’t Belong? The variation among their ideas was exciting.

While I could still see attention to the denominators as in the original Warm-Up, students were now describing their ideas in much more unique ways. If this had been the original Warm-Up, it’s not hard to imagine how much more engaged students would have been—and how much more teachers would have learned about their thinking. 

Learning from within the work of teaching

Curriculum materials have shaped my teaching and learning since the beginning of my time in the classroom. They then became the focus of my work at Illustrative Mathematics and now in my current work at Amplify.

I am a strong advocate for high-quality curriculum materials, and at the same time, I also believe that every curriculum can always be improved to better meet the needs of students and teachers.

I continually recognize and appreciate the time I get to spend planning, teaching, and reflecting with teachers about their dynamic and ongoing relationship with curriculum materials.

These opportunities to learn from within the work of teaching are invaluable inputs to our current work at Amplify, where we have the exciting opportunity to improve the characteristics of math resources currently in schools. 

Want to learn more from Kristin Gray? Watch her webinar!

Free professional learning opportunities for math educators

We hope you’ll take some time this summer to refresh your energy—and your math teaching skills and knowledge. We’re here to help with these professional learning opportunities for math teachers.  

Culled from our trove of blog posts and webinars, we’ve compiled a list of math teacher resources covering topics from technology in the math classroom to math anxiety and more. We hope your down time and your math time add up to a great summer! 

Diving into math curriculum

As math teachers, you work every day to celebrate student brilliance, build deep conceptual understanding, and create the conditions for every student to be successful. Find out how Amplify Desmos Math can help with these resources. 

Desmos Classroom

This four-part webinar series will give you the tools you need to go from platform novice to skilled Desmos Classroom whiz.

What amazing math looks like

How can you help students both learn math and love math? Examine what amazing math looks like for both educators and students in this webinar series that explores the importance of focus, engagement, and collaboration. Start with our special kickoff webinar presented by math expert Dan Meyer, host of Math Teacher Lounge, then binge-watch our webinars on next-level math engagement! 

Desmos Math 6–A1

Learn about the EdReports process for evaluating high-quality instructional materials (including Desmos Math 6–8) in a post from our blog, then check out our info session and Step Ahead webinars to learn more about the program—and see it through the eyes of math students!

Creating a math community 

As any mathematician knows, there’s strength in numbers! The following posts, all from the Amplify blog, will help you build a culture of collaboration and community in your math classrooms. 

Summer is one of those good things that must come to an end. But when it does, we hope these resources will have helped you feel more prepared than ever for a magical year of math!