Ep: 17 Emergent Counters: Stages of Counters Series Part 1
Making Number Sense Make Sense: A Math Podcast for Early Elementary Teachers
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Do you have students who are having trouble counting? This series will explore the stages of counting, how to identify the stages of your students, and what to do to support them through this stage and into the next one!
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2023-09-25
9 min
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1 00:00:00,000 --> 00:00:05,240 When I started teaching, I had the choice of kindergarten, third grade, or fifth 2 00:00:05,240 --> 00:00:09,760 grade. And I was like, I'm not a math person. I think I'm just gonna do 3 00:00:09,760 --> 00:00:14,960 kindergarten. I could definitely do kindergarten math, right? 4 00:00:19,760 --> 00:00:25,560 Hello and welcome to Making Number Sense Makes Sense, a podcast for elementary 5 00:00:25,560 --> 00:00:29,320 teachers, specifically early elementary teachers, looking to really make an 6 00:00:29,320 --> 00:00:34,900 impact in the number sense of their students. There is a trend that I've seen 7 00:00:34,900 --> 00:00:40,120 going around of teachers asking other teachers what grade they teach and what 8 00:00:40,120 --> 00:00:44,400 grade they would never teach. So lots of elementary teachers are like, oh I teach 9 00:00:44,400 --> 00:00:47,920 fifth grade, oh I teach third grade, and when they say what grade would you never 10 00:00:47,920 --> 00:00:54,200 teach, they say kindergarten. And a lot of times you're like, why? And it's I think 11 00:00:54,200 --> 00:00:58,040 they think of it as like, oh these kids are so little, they need so much support. 12 00:00:58,040 --> 00:01:04,800 But when you're actually in kindergarten, they're very capable and you think 13 00:01:04,800 --> 00:01:10,000 that's kind of what we're gonna work on. The content itself isn't really that 14 00:01:10,000 --> 00:01:15,880 hard. But if you think about letters in the alphabet, it's actually really hard 15 00:01:15,880 --> 00:01:20,280 to teach somebody how to read. And in the similar way, it can be really hard to 16 00:01:20,280 --> 00:01:25,360 teach people how to count, how to count correctly, and how to count accurately in 17 00:01:25,360 --> 00:01:29,680 a way that will enable them to use that counting knowledge and build a number 18 00:01:29,680 --> 00:01:34,320 sense so that they can use that information to solve problems, math 19 00:01:34,320 --> 00:01:38,720 problems, any problems in the future. So as I said, I thought you know what, this 20 00:01:38,720 --> 00:01:43,880 can be easy. I've got this pattern sorting, counting. I can definitely teach 21 00:01:43,880 --> 00:01:49,320 this math. And so I'm there working on it and I notice that some kids are just 22 00:01:49,320 --> 00:01:55,160 having a really hard time learning how to count. Like something that I'm saying is 23 00:01:55,160 --> 00:02:00,800 just not making sense. And I don't know, and I wasn't sure how to get them from 24 00:02:00,800 --> 00:02:05,400 this I don't understand what you're talking about, to actually understanding 25 00:02:05,400 --> 00:02:11,280 the concept of counting and the concept of number. So there started my deep dive 26 00:02:11,280 --> 00:02:17,600 into early elementary math and how to teach kids how to count. So what I found 27 00:02:17,600 --> 00:02:23,200 out is there's lots of different stages to counting. So in the next couple weeks, 28 00:02:23,200 --> 00:02:26,920 I'm going to be going through each of those stages talking to you about what to 29 00:02:26,920 --> 00:02:30,960 look for and what you can do to help students move from the counting stage 30 00:02:30,960 --> 00:02:36,240 that they are at to the next counting stage. So counting can definitely be 31 00:02:36,240 --> 00:02:41,120 tricky. And in a previous episode, I talked about the aspects of number if you 32 00:02:41,120 --> 00:02:44,360 want to learn more about that. But the aspects of number are knowing the number 33 00:02:44,360 --> 00:02:50,560 sequence, so the verbal, knowing the quantity. So if I say four, you know how 34 00:02:50,560 --> 00:02:54,240 many that is, and the symbolic representation. So the squiggle of four 35 00:02:54,240 --> 00:02:58,640 means those four objects, and you can count that high to know that that's what 36 00:02:58,640 --> 00:03:02,880 the name of that number is. And when you can develop those together, you can use 37 00:03:02,880 --> 00:03:08,320 the strategy of counting to solve other problems. So the first stage of counting 38 00:03:08,320 --> 00:03:13,440 that you might see is called an emergent counter. An emergent counter is a 39 00:03:13,440 --> 00:03:18,240 little one, a student, who might be getting stuck on number words or sequences. 40 00:03:18,240 --> 00:03:24,080 They might have a hard time matching numbers to objects and identifying the 41 00:03:24,080 --> 00:03:28,720 number symbols and knowing what that quantity represents. So if you're working 42 00:03:28,720 --> 00:03:34,160 with a student and you ask them to count something for you, you might see students 43 00:03:34,160 --> 00:03:38,280 skipping numbers in the number sequence. So they might say one, two, six, four, ten, 44 00:03:38,280 --> 00:03:44,080 and so on and so forth. You might see them saying more than one number when 45 00:03:44,080 --> 00:03:48,160 counting objects. So if I have three objects and they get to the third, they might go 46 00:03:48,160 --> 00:03:53,320 three, four, five instead of just saying one, two, three. You might also kind of 47 00:03:53,320 --> 00:03:56,840 see them have, I call it the hover finger, where they just kind of move their 48 00:03:56,840 --> 00:04:00,040 finger on top of the things that they're counting, but they're not actually 49 00:04:00,040 --> 00:04:06,120 matching a numeral to a value. You might also see that they're not yet familiar 50 00:04:06,120 --> 00:04:10,880 with common dot patterns, like the ones that you might see on a dice. If you're 51 00:04:10,880 --> 00:04:14,880 seeing students as emergent counters, there are some things you can do to 52 00:04:14,880 --> 00:04:19,960 support them in kind of solidifying that and moving to the next stage. So the 53 00:04:19,960 --> 00:04:22,520 first thing that they will need to practice, well not the first thing, but 54 00:04:22,520 --> 00:04:25,520 one of the things they'll need to practice is the number sequence to be 55 00:04:25,520 --> 00:04:30,480 able to count high enough to know what the quantity of the collection that 56 00:04:30,480 --> 00:04:34,280 you're trying to have them count is. So in a previous episode, I talked all about 57 00:04:34,280 --> 00:04:38,080 things you can do for rope counting and that would be really helpful to look 58 00:04:38,080 --> 00:04:42,000 back on, as well as some activities you can do for one-to-one correspondence to 59 00:04:42,000 --> 00:04:46,680 help kids with the number sequence. So quickly lots of movement and counting 60 00:04:46,680 --> 00:04:50,120 movement songs, counting songs, that kind of thing can really help students 61 00:04:50,120 --> 00:04:54,360 learn the number sequence. The next thing they'll need to work on is developing 62 00:04:54,360 --> 00:04:58,920 one-to-one correspondence. So ways that you can work on that, especially if 63 00:04:58,920 --> 00:05:02,920 they're just emergent counters, is just kind of having them match different 64 00:05:02,920 --> 00:05:06,320 quantities together to understand if I have one over here, you need one over 65 00:05:06,320 --> 00:05:10,720 there, and there's lots of ways that you can do that. You can use cards, you can 66 00:05:10,720 --> 00:05:15,360 use dice, you can have them just put things on top of others. This is also a 67 00:05:15,360 --> 00:05:19,680 really great opportunity to bring in a lot of play. If you have a play kitchen, 68 00:05:19,680 --> 00:05:24,440 you might say, oh I need to set the table for five of my friends, what will we need? 69 00:05:24,440 --> 00:05:29,600 So for each friend, they would need to get a plate, a cup, and then they're 70 00:05:29,600 --> 00:05:33,440 starting to match, okay one person needs one cup, needs one fork, or whatever 71 00:05:33,440 --> 00:05:38,360 you're playing, each person will need one thing, and that can also help them kind 72 00:05:38,360 --> 00:05:43,360 of understand the concept of one-to-one correspondence. Kids also really love 73 00:05:43,360 --> 00:05:47,880 stories, so you might use a themed counting mat, I will link some down in 74 00:05:47,880 --> 00:05:54,040 the description, and have them create stories around numbers and around 75 00:05:54,040 --> 00:05:58,280 counting. So maybe you have a space scene and they have little astronaut 76 00:05:58,280 --> 00:06:02,720 counters, and you might say okay five astronauts are in the rocket going to 77 00:06:02,720 --> 00:06:07,280 space, can you get out five astronauts, and then they can work on counting five, 78 00:06:07,280 --> 00:06:10,480 and that's something you can do in small groups. So if you have a group of students 79 00:06:10,480 --> 00:06:16,040 who are emergent counters and needing extra practice, that's a great way that 80 00:06:16,040 --> 00:06:19,160 you can kind of monitor all of them at the same time. If you don't necessarily 81 00:06:19,160 --> 00:06:23,360 have a play kitchen or have enough for everybody to be playing at the same time, 82 00:06:23,360 --> 00:06:26,880 that's something you can also do to support your emergent counters. And while 83 00:06:26,880 --> 00:06:32,440 working on that, take opportunities to do a lot of repetition of the numbers, and 84 00:06:32,440 --> 00:06:39,760 matching the quantity to a numeral. And I don't necessarily mean having kids just 85 00:06:39,760 --> 00:06:43,960 sit there and you know copy five a million times on a worksheet, that's not 86 00:06:43,960 --> 00:06:48,000 what I'm saying, just kind of making it meaningful for them. So if I'm setting my 87 00:06:48,000 --> 00:06:54,520 table again with five kids, I might have a number five card out, be like okay, this 88 00:06:54,520 --> 00:06:59,080 is the number five, I have five friends. So with these five friends I need to get 89 00:06:59,080 --> 00:07:05,080 my five plates, my five forks, my five cups. And then they can start to kind of 90 00:07:05,080 --> 00:07:09,760 put those things together, the number sequence, the quantity, and the written 91 00:07:09,760 --> 00:07:14,880 numeral. And something that can be really helpful for students at this point is 92 00:07:14,880 --> 00:07:20,600 for them to kind of keep track or set goals for their accounting. Now, especially 93 00:07:20,600 --> 00:07:24,560 at the beginning of the year, they might not even know what goal they're working 94 00:07:24,560 --> 00:07:30,280 on. So this is where it can be really helpful to bring in a visual goal setting 95 00:07:30,280 --> 00:07:35,440 chart or sheet so kids can know what it is that they're working on. I will put a 96 00:07:35,440 --> 00:07:39,760 link in the show notes to examples of this and kind of how to use a goal 97 00:07:39,760 --> 00:07:45,920 setting sheet. But this can be really helpful for motivating students into 98 00:07:45,920 --> 00:07:49,720 wanting to learn how to count. And these goal setting sheets are not 99 00:07:49,720 --> 00:07:54,120 necessarily for the whole class to see where everybody is. It's really a 100 00:07:54,120 --> 00:07:58,160 chance for that student to be able to reflect on their own learning and know 101 00:07:58,160 --> 00:08:02,120 what they're working towards with you. And that's something that you guys can 102 00:08:02,120 --> 00:08:06,240 keep checking on and growing on. And positive momentum in those little goals 103 00:08:06,240 --> 00:08:11,000 helps kids keep going and want to accomplish the next goal and the next 104 00:08:11,000 --> 00:08:14,960 goal. So it's really setting them on a trajectory of I don't know this yet, but 105 00:08:14,960 --> 00:08:18,840 I'm going to learn and I'm gonna have fun while I'm doing it. Because especially 106 00:08:18,840 --> 00:08:22,160 in kindergarten with an emergent counter, if you have emergent counters in 107 00:08:22,160 --> 00:08:27,920 kindergarten, it should be fun. They're still kids. They're little. I really love 108 00:08:27,920 --> 00:08:31,920 to see kids having fun and especially in math math is definitely a place where 109 00:08:31,920 --> 00:08:36,280 kids can have a lot of fun. We want them to keep that love of math and love of 110 00:08:36,280 --> 00:08:42,240 learning throughout the year and beyond. So this was emergent counters. Students 111 00:08:42,240 --> 00:08:45,560 who don't yet know the number sequence might still be still having trouble with 112 00:08:45,560 --> 00:08:48,960 one-to-one correspondence and might have trouble remembering the numeral 113 00:08:48,960 --> 00:08:54,000 symbols, which can often be the trickiest part for them to learn. So next week, I'll 114 00:08:54,000 --> 00:08:57,360 move on to the next stage. If you have a minute you've been enjoying the podcast, 115 00:08:57,360 --> 00:09:02,280 I would love if you can leave a review to let me know what you're liking, what 116 00:09:02,280 --> 00:09:06,600 you'd like to see from me next. I also have a link in the show notes to a Google 117 00:09:06,600 --> 00:09:10,600 form. If there's an episode I did that you'd like more information on, maybe like 118 00:09:10,600 --> 00:09:16,440 a part two, you can leave me all of the suggestions at the Google form in the 119 00:09:16,440 --> 00:09:21,720 link in the show notes. Until next time, keep counting everyone!
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