How to create a math-rich environment (and why it matters)

August 7, 2024

In the classroom, we often discuss the importance of literacy-rich environments. However, we rarely apply this concept to math. Let’s explore how to create a math-rich environment and why it’s crucial.

One of the reasons math can be challenging is that it often seems separate from our daily lives. We see reading and writing everywhere, but math doesn’t always feel as connected.

In this article, I’ll share:

  • A definition of a math-rich environment
  • How to build math vocabulary naturally
  • Ideas to integrate math activities throughout your day
  • Classroom setup and what materials should be accessible

What is a math-rich environment?

A math-rich environment integrates mathematical concepts into daily classroom activities. When you weave math into your daily routines, it starts to click for students. They find math relevant and meaningful, and they start making deeper connections.

One of the simplest ways to build this environment starts with vocabulary.

How to build math vocabulary naturally

Math vocabulary is often domain-specific, so students rarely encounter it in daily life. This means you have to teach them the concepts and also the language around the content. There are ways to make this easier. 

Daily Routines

A great example is the word perimeter. Unless you’re teaching the area and perimeter unit, or own a fencing company, this is not a part of everyday language. But you can easily incorporate it into what you already do. 

Instead of having your students sit around the outside of the rug, you can tell them to find a seat on the perimeter (or the circumference if it’s circular). You don’t even have to define it for them. If you point to the side lengths of the rug and repeatedly use this as a direction, students will internalize the language. When it’s introduced in math, they have a real-life context to draw from.

image of a rectangular rug with the word "perimeter" pointing to the distance around the room and of a circular rug with the word "circumference" point to the distance around it

Other examples of this include:

  • “Line up parallel to the bathroom.”
  • “Put your laptop at a 45-degree angle while I’m giving directions.”
  • “Write your name on the horizontal line.”
  • “It’s a quarter past 9. Time for specials.”

Multiple Meaning Words

Polysemous words (words with multiple meanings) also can be challenging, especially if you have students who are not yet proficient in English. Consider the word foot. Your students know it as a part of their body, but then it suddenly also becomes a standard unit of measurement. You can pre-teach this idea like the examples above. Tell students to line up a foot behind the person in front of them, holding your hands 12 inches apart to show the meaning.

the word "foot" with two images below: one that shows a 12-inch long ruler and the other a human foot
the word "table" with a picture of a t-chart to show a table you would draw and a picture of a wooden table someone where someone would sit

You can read about more common polysemous words in this blog and get a few tips on how to be precise with your mathematical language.

Beyond vocabulary, there are lots of other ways you can incorporate math into everyday life in the classroom.

Ideas to integrate math activities throughout your day

Think about the activities you already do and give them a math spin. Here are some ideas:

  • If you’re an early elementary teacher, you likely sing songs, play games, and read rhymes or poems throughout the day. Most of these have a beat or a pattern. You can pair movements with music to help students begin to recognize these patterns. 
  • When you need students to clean up or transition, vary how you give them this direction using counting. For example, you might say “I’m going to count from 10 down to 0. By the time I’m at 0…” Possible variations include:
    • Skip count by 5s until you get to 50
    • Start at 14 and count until you get to 32
  • While you’re transitioning and students are waiting in line for lunch or specials, flash subitizing or numeral cards.
  • Talk about concepts of more, less, and equal related to everyday items. “When we clean up, let’s make sure we all have an equal amount of pencils at our tables. Count and make sure each table has 4 pencils.”
  • Let’s make a table (instead of a t-chart) to…

The possibilities are endless. You’ll be surprised how many ways you can fit math into your daily routines once you start looking for intentional chances to do so.

Classroom setup and what materials should be accessible

Math manipulatives

Some materials should always be easy for students to reach. Just like you have a reading corner, a math corner is important too. This is where you keep math tools that students can use anytime.

Manipulatives to include will vary by your grade level, but the staples for most early childhood/elementary classrooms are:

  • Counting tools (two-sided counters, bears…)
  • Snap or pop cubes
  • Base ten blocks
  • Pattern blocks
  • Tens frames

A number path (K/1) or number line (2nd grade and up) should be visibly displayed in the classroom. It’s ideal to include negative numbers, even though you may not explicitly discuss them, so students are introduced to the idea early that there are numbers less than zero.

Classroom setup

Math-rich environments are set up for exploration, discussion, and collaboration. I love the 3 tips provided in this article about how to set up your physical space.

In addition to furniture arrangement, you’ll want to use labels throughout your room. You can also use numerals to label cubbies, mailboxes, or desks. Visuals paired with the word name help create a print-rich environment as well. 

For example, you might use uncommon math terms for your table names, such as rhombus or quadrilateral. If you have baskets for each table, the label can have pictures of the shapes and the names written out. A common misconception kids have is that all triangles look the same, like equilaterals. By having ‘upside down’ triangles and ones with varying side lengths, you can help avoid this.

Conclusion

Creating a math-rich environment changes the way students engage with math, making it a natural part of their daily lives. By incorporating math vocabulary into everyday routines, integrating math activities throughout the day, and setting up a classroom that encourages exploration and discussion, you make math relevant and meaningful for your students. These small, intentional changes can significantly impact your students’ mathematical understanding and enthusiasm.

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