Early literacy is, without a doubt, my #1 love in teaching. But during my last year as a classroom teacher, teaching math to my 2nd graders was actually my favorite part of our day!

The reason why I loved teaching math so much was because of a daily routine that I implemented at the beginning of each math class. The routine is called a “Number Talk,” and it was *extraordinarily* helpful in developing my students’ number sense. Starting off each class with a 5-10 minute number talk improved my students’ abilities to communicate about math, use a variety of strategies to solve problems, and think flexibly with numbers. Plus, it was just plain fun.

So how do you implement a Number Talk, you ask? Keep on reading and I’ll walk you through exactly how to do Number Talks in your classroom!

**Why implement a Number Talk?**

To start with, I think it’s important to understand *why* I chose to implement this routine. For about a year or so prior to the beginning of that school year, I had been learning a lot about developing number sense in young children. Number sense is the ability to understand numbers and quantities, use numbers flexibly, and perform calculations mentally.

According to research, students in the United States lack number sense. Traditionally, students have relied on rote algorithms to complete math problems, without really understanding what they are doing.

Here’s an example of a problem that many students would use a traditional algorithm to solve:

Let’s say that a second grader was trying to solve this problem. A common error would be for the child to do this:

If a student makes this error, it indicates that she likely does not REALLY understand what multi-digit addition is all about. You and I know that solving this problem requires forming a group of ten out of the ones (6 + 4 = 10), and then adding that group of ten to the others (30 + 10), for a total of 5 groups of ten (50). However, a student who makes the above error is relying upon the algorithm she has learned (and learned incorrectly).

The purpose of developing number sense in students is so that they understand the underlying concepts of the operations they perform (addition, subtraction, multiplication, division). Students who have strong number sense can solve problems in more than one way, and check that their answers make sense.

**How do we develop number sense in primary students?**

All math lessons and activities can (and should) be used to develop number sense. But it’s also helpful to dedicate a specific portion of your math block to developing number sense.

When I taught Kindergarten, we did a lot of subitizing activities. The purpose of these activities was to teach students to rapidly recognize quantities. I used my interactive white board to quickly “flash” groups of dots to students, and then they would have to tell me how many dots they saw. I also had them explain how they got that answer (i.e. by counting, or seeing a group of 2 and a group of 3, etc.). To read more about subitzing, you can check out this article.

Number sense exercises looked different for my second graders. We used number symbols (0, 1, 2, 3, etc.) instead of quantities of dots. Each day during our Number Talk, students practiced solving different math problems mentally, using a variety of self-selected strategies. They also explained their strategies to each other and to me. These mental math problems increased in difficulty throughout the year.

**What materials do you need to implement a Number Talk?**

One of the (many) awesome things about Number Talks is that they require VERY little prep and materials! All you need is a chalkboard, dry erase board, or interactive white board and a writing utensil. You’ll also want the board to be right by a place on the carpet where students can sit. Students do *not* need whiteboards, pencils, or paper. They solve all problems mentally.

To prep for a day’s number talk, come up with 2-4 math problems that you want students to solve mentally. I used Sherry Parrish’s Book Number Talks to choose my math problems, which made planning super easy! At the back of this wonderful book, there are lists of mental math problems for K-5th grade. I chose problems based upon what we were learning in our current math unit, and what strategies I had taught in the past.

**How do you implement a Number Talk?**

Every day at the beginning of our math block, I gathered students together on the carpet, in front of the white board. Then, I went through the following procedures:

**1. I wrote a math problem on the board. **I often wrote problems horizontally, rather than vertically, to discourage students from relying upon traditional algorithms. I wrote just one problem at a time.

**2. I gave students time to think.** Giving your kiddos enough time to solve the problem is essential! I taught my students to give a thumbs-up (low, in front of their bodies), when they had solved the problem. Then, their job was to come up with other, additional ways to solve the problem. For each strategy they came up with, they would hold up another finger. This procedure served several purposes. First, I could see who had solved the problem and who had not. Second, I could gauge when the class was ready to talk about the problem. Third, it kept students thinking at all times, challenging those who solved the problem quickly to come up with additional strategies. Also, when students “show it low” (give the low thumbs-up symbol in front of their bodies), instead of raising their hands high in the air, this is less intimidating for students who require more time to solve the problem.

**3. I called on a student to share the answer and a strategy.** I would choose one student to share their answer and explain how they had solved the problem. While the child was talking, I was absolutely silent. I wrote on the board exactly what they were telling me, without indicating if the strategy/answer was correct or incorrect. If we were doing a Number Talk with the problem 34+16, here’s what a student might say, and what I might write.

Student: “First, I broke the 34 up into 30 and 4, and the 16 up into 10 and 6. I saw the 4 and the 6. I know that if you add 4 and 6 together, they make a 10. There were already 3 tens from the 34, and one ten from the 16. So I took 3 tens + 1 ten + the ten from the 4+6. That’s 5 tens, which makes 50.

My writing:

**4. I opened things up to the class to determine if the strategy worked or if it didn’t work.** Sometimes I asked another child to orally summarize the strategy of the child who had first given the answer. Sometimes I did a “Turn and Talk” and had students summarize the strategy to each other. Then, I asked the class to determine if the strategy worked and if the solution was correct. To prove that a strategy did or did not work, a student had to solve the same problem in a different way. Again, I recorded that strategy on the board, just as I had with the first strategy.

**5. Once the kids had come up with one working strategy, I invited students to share additional strategies. **Each time a child shared a strategy, I again asked the other students to verify if it worked or not, and to explain why. We had a running anchor chart of different strategies, and if a child came up with a new strategy, we added it to the chart.

Depending upon how long the problems took, we did anywhere from 2 to 4 problems a day. I only put up one problem at a time.

To see this in action, you’ve gotta check out this video. Notice how the teacher really relinquishes control to students. She serves as a recorder of their ideas, not a judge of right/wrong answers!

**How do you get students to come up with strategies independently?**

When I started our Number Talks at the beginning of the year, students had NO prior experience with this routine. They were not used to solving problems mentally or having to explain their answers. It was definitely a challenge at first, but here are some things that I did to make our Number Talks successful:

**I did some modeling, but only at the very beginning.**I provided a lot of support and prompting during the first few weeks of Number Talks. After that, I relied on the kids to model strategies for each other.**I kept a running anchor chart of strategies handy.**On our math bulletin board, I had an anchor chart that we continuously added to. When I taught a strategy during our regular math lesson, I added it to the chart and mentioned how it might be helpful to use during our daily Number Talk.**I gave them no other option than to come up with strategies and answers on their own.**Even if the kids struggled with a problem, I did not intervene. I never provided a correct answer or told a child that their answer was wrong or right. I placed full responsibility on the kids to solve the problems, and they rose up to this challenge. If a problem had given them a lot of trouble, I would have dropped it and returned to it later – but I actually never had to do this!

**Go try it!**

Without a doubt, our daily Number Talk was my favorite part of our day. I loved giving up control to the students and putting them in charge of their own learning. It was also really neat to hear the different strategies the kids used (and invented!). They often shared ways of thinking about a problem that I had never thought of!

Do you implement Number Talks in your classroom? If not, you *have* to try them out! I strongly recommend purchasing the Number Talks book. It will give you problems that are ready to go AND it comes with a DVD with Number Talk videos like the one I shared above.

Happy Number Talking!!

Hi

I couldn’t get the video to work on this post.

Are you able to send me a link please?

Thanks

Hi Melissa, the link can be found here: http://www.mathsolutions.com/videopage/videos/Final/Classroom_NumberTalk_Gr3.swf

🙂 Alison

That link still isn’t working.

They may have taken it down; sorry!

Alison

Trying to look for a complete Lesson Plan for Primary classes based on Number Talks which includes the Curriculum expectations. Is there one available online?

I’m not sure, Priscila! I don’t have any personally. Do you have the book mentioned in the post?

Thank you for sharing. I have done this on and off in my classroom and want to be more consistent this year. When do you begin number talks during the school year? I noticed the first problems involve using doubles, which the kids got some of in 1st grade, but it won’t turn up in our math curriculum until a few months into the year. Do you just jump right in and start or wait until they have learned some on the strategies? Thanks in advance!

Hey Sarah! I do jump right in during the second week of school or so – because the kids can actually learn strategies as they go. Some of your kids who are naturally more strategic may come up with something, and then the child (with your help) can explain it to the class. You can also do modeling (occasionally, and typically mostly at the beginning of the year) to get them started with some simple strategies like using a number line or counting on fingers. 🙂

Alison

When you get to subtraction, number talks get a little trickier. I have been doing them throughout my class’s 3rd grade year. You never want to stress students out by calling on them. But it is June, and a small percentage never learned the same difference strategy for mental subtraction. So I kept them on the carpet. I learned that struggling students needed to look at the subtrahend as the “star of the show.” The first step is rounding the subtrahend to a friendly number ending in zero. After that they add or subtract the same number to the minuend. Then it is easy to subtract a two digit number, because the ones place will be a simple x-0 equation. The struggling students struggled with place value. They kept seeing the tens as ones. I like mental math and number talks, because it really clarifies how to use place value for our students.

That’s a good tip!!! Thank you for sharing this!

Alison

Hi again Alison – I just realised that others have had the same issue!

I did some searching and found this useful video (on the same website, just a different page).

https://mathsolutions.wistia.com/medias/0v5002j2zh

Thanks

Thank you for sharing this!!

Alison

For kindergarten and grade 1, I recommend using visual representations to start. I like using rekenreks, and asking two questions: How many beads do you see? How do you see them? I start by encouraging students to move through counting all to counting on, and then making five and ten. In a similar vein, ten-frames with round magnets for dots are a big hit. Kids can show me exactly what they see by moving the magnets around. In fact, round magnets make the best number talk tools I’ve found yet.

Yes! Love that – thanks for sharing!

Alison

Where can I find a list of strategies to model and teach to the students? For addition, subtraction, multiplication and division?

Hey Laura! I would check out the book I mentioned in the post, Number Talks! 🙂

Alison