Ep 14: 8+ Rote Counting Ideas: Number Sense Routines Series
Making Number Sense Make Sense: A Math Podcast for Early Elementary Teachers
One of my least favorite standards to work on is counting to 100. 🧮 It takes a long time and it's abstract and the students who need to practice the most often don’t when we count together. So how do we get students to practice counting when they don’t want to? In this week’s episode, I give 8 ideas for rote counting, counting backward, and skip counting!
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1 00:00:00,000 --> 00:00:05,680 Today's number sense routine isn't necessarily a routine but some ideas to 2 00:00:05,680 --> 00:00:11,320 help your kids with a standard that I find particularly it's like pulling teeth. 3 00:00:11,320 --> 00:00:16,600 Counting to 100 is like pulling teeth sometimes because it takes so long and 4 00:00:16,600 --> 00:00:21,160 it can get really repetitive and not in a good way. So I'm giving you some ideas 5 00:00:21,160 --> 00:00:25,080 of how you can make this skill, this routine that your kids need to be 6 00:00:25,080 --> 00:00:29,200 able to do counting to 100, a little more interesting and give it a little more 7 00:00:29,200 --> 00:00:33,240 a little more something extra so that your kids can count to 100 and 8 00:00:33,240 --> 00:00:34,800 actually understand what that means. 9 00:00:41,800 --> 00:00:46,960 Hello and welcome to Making Number Sense Makes Sense, a podcast for elementary 10 00:00:46,960 --> 00:00:50,720 teachers specifically early elementary teachers looking to really make an 11 00:00:50,720 --> 00:00:55,120 impact in the number sense of their students. What do you think of when I 12 00:00:55,120 --> 00:01:00,760 say the number five? Do you think of the numeral five? Do you think of five fingers? 13 00:01:00,760 --> 00:01:05,560 Do you think of five dots? Do you think of counting to five? There's lots of 14 00:01:05,560 --> 00:01:10,480 different things that you might think of when you think of five and as adults 15 00:01:10,480 --> 00:01:16,280 who have been counting for decades these things are not necessarily things that 16 00:01:16,280 --> 00:01:19,800 we think about but when you're talking about students who have not been 17 00:01:19,800 --> 00:01:24,400 counting and are new to counting who are literally only five years old have only 18 00:01:24,400 --> 00:01:27,960 been on this earth for five years talking for three maybe four of them. 19 00:01:27,960 --> 00:01:33,520 Counting can be a really complex mechanism. They have to think of the 20 00:01:33,520 --> 00:01:36,640 numeral so they have to understand that when they see this squiggle, the 21 00:01:36,640 --> 00:01:41,160 symbolic squiggle, it means five objects. They have to actually know that what it's 22 00:01:41,160 --> 00:01:45,360 called five and they have to know how many five is so they need these three 23 00:01:45,360 --> 00:01:51,480 things in order to really develop an understanding of a number and it really 24 00:01:51,480 --> 00:01:57,360 needs to come together simultaneously to develop number sense. So something that 25 00:01:57,360 --> 00:02:02,720 can often limit a student's ability to count high is that they just don't have 26 00:02:02,720 --> 00:02:06,600 a understanding of what it is that they're doing or why that's important. 27 00:02:06,600 --> 00:02:12,760 Kids need a lot of opportunities to practice the number sequence. One to one 28 00:02:12,760 --> 00:02:17,560 correspondence is just the act of like understanding that if you move one thing 29 00:02:17,560 --> 00:02:23,520 it has a name but learning those names can be really really tricky. So an example 30 00:02:23,520 --> 00:02:27,400 is if you're here kids you know singing the alphabet song before they 31 00:02:27,400 --> 00:02:32,880 understand that each of those words is representative of a letter they'll say 32 00:02:32,880 --> 00:02:37,360 like element OP thinking that all of that together is one thing and it's not 33 00:02:37,360 --> 00:02:41,040 those are all different letters the same thing happens with numbers they might 34 00:02:41,040 --> 00:02:44,320 just be repeating them not understand that the order that they're saying them 35 00:02:44,320 --> 00:02:50,400 matters at all and rote counting is something that is a challenge for me 36 00:02:50,400 --> 00:02:53,680 specifically I know that it was a challenge because they have to be able 37 00:02:53,680 --> 00:02:57,760 to count to 100 but a lot of times have no concept or understanding of how many 38 00:02:57,760 --> 00:03:02,480 a hundred is and why they would ever need to do that. So it's something that I 39 00:03:02,480 --> 00:03:06,920 practice every day but it can be really dry and a lot of times if you're 40 00:03:06,920 --> 00:03:11,360 practicing just the sequence the counting sequence to 100 the students who 41 00:03:11,360 --> 00:03:15,400 really having trouble with it are not participating with you. So there are some 42 00:03:15,400 --> 00:03:19,600 things I've done in my classroom to really support all of my kids learning 43 00:03:19,600 --> 00:03:23,320 to count to 100 and develop number sense and I'm gonna give you some ideas. 44 00:03:23,320 --> 00:03:27,840 The first one is number songs. Singing is a great way to help kids remember 45 00:03:27,840 --> 00:03:32,680 things like you ask them to sing a song for you they know all of the words so 46 00:03:32,680 --> 00:03:37,960 including a lot of number songs and what you're doing is very very helpful for 47 00:03:37,960 --> 00:03:42,920 helping kids develop the counting sequence or the number sequence. Just 48 00:03:42,920 --> 00:03:46,440 giving a lot of opportunities like counting in calendar math is a great 49 00:03:46,440 --> 00:03:53,320 way to have the kids practice there like a range from 1 to 30 and start to get 50 00:03:53,320 --> 00:03:57,960 the pattern of how numbers work or how the number sequence works. Another thing 51 00:03:57,960 --> 00:04:02,040 I've done before is movement counting so as we count down so like I'd be like 52 00:04:02,040 --> 00:04:04,600 it's the first day of school today is the second day of school then it's the 53 00:04:04,600 --> 00:04:09,840 third day of school so we add a number each day so in each decade I would give 54 00:04:09,840 --> 00:04:13,120 kids a different movement that they're doing so for example if we're counting 55 00:04:13,120 --> 00:04:19,960 and it is the 30th day of school from 1 to 10 we clap so it'd be like 1 2 3 4 5 56 00:04:19,960 --> 00:04:24,520 and each each number gets a clap and that will be my first decade from 1 to 57 00:04:24,520 --> 00:04:28,680 10 and then from 11 to 20 we do a different movement maybe we're doing 58 00:04:28,680 --> 00:04:33,040 jumping jacks or maybe we are patting our shoulders or touching our head or 59 00:04:33,040 --> 00:04:36,880 something like that so then from 11 to 20 you'd be counting you'd be patting your 60 00:04:36,880 --> 00:04:42,120 head and counting like 11 12 patting your head that way to start to develop 61 00:04:42,120 --> 00:04:45,960 one-to-one correspondence and the number sequence at the same time giving it 62 00:04:45,960 --> 00:04:51,760 meaning making it tactile and then for the next one from like 20 to 30 I might 63 00:04:51,760 --> 00:04:56,720 give them a different one like they might be playing air guitar or they might be 64 00:04:56,720 --> 00:05:01,360 you know stomping their feet or marching in place or something like that for the 65 00:05:01,360 --> 00:05:06,560 next decade so each decade gets its own movement and as the kids start to 66 00:05:06,560 --> 00:05:10,120 realize that each decade gets a next movement I bring them in on it it's like 67 00:05:10,120 --> 00:05:14,240 okay what movement do you think we should do for our next group of 10 and 68 00:05:14,240 --> 00:05:17,360 some of the things they come up with are hilarious some of the things you're 69 00:05:17,360 --> 00:05:20,880 like oh gosh that's not happening like if they want to do like spins on the floor 70 00:05:20,880 --> 00:05:24,360 I was like no spins on the floor is not gonna happen for me and a lot of times 71 00:05:24,360 --> 00:05:27,200 I'll frame it in the way of saying oh you know like I'm old I can't do that you're 72 00:05:27,200 --> 00:05:30,120 gonna make me dizzy and then I'm not gonna be able to teach anymore and they 73 00:05:30,120 --> 00:05:33,240 think they're gonna kick out of that but keeping it light and playful so if you 74 00:05:33,240 --> 00:05:37,520 for sure know that a certain movement is not going to work they they're like oh 75 00:05:37,520 --> 00:05:40,560 well it's because of this not because my idea was bad because they're not 76 00:05:40,560 --> 00:05:47,040 necessarily bad ideas it's just how can we keep everybody safe in this space and 77 00:05:47,040 --> 00:05:50,520 after you get some ideas I let the kids vote sometimes I choose be like oh of 78 00:05:50,520 --> 00:05:53,680 all of these ideas this one is the one I like but usually I just have them vote 79 00:05:53,680 --> 00:05:58,160 on the one that they enjoy and I'll have them practice each one so if we have 80 00:05:58,160 --> 00:06:02,200 three different ideas we'll practice the first idea counting from one to ten the 81 00:06:02,200 --> 00:06:05,640 second idea so you're sneaking in some extra counting to ten but they're 82 00:06:05,640 --> 00:06:08,520 getting their movement they're getting some wiggles out and that can help them 83 00:06:08,520 --> 00:06:12,200 with counting to 100 as well. Another game that you can do is a counting around 84 00:06:12,200 --> 00:06:16,560 game I would caution though that if your students are not super confident with 85 00:06:16,560 --> 00:06:20,120 the number sequence it can get a little bit of like a pressure situation if 86 00:06:20,120 --> 00:06:24,640 someone has to say the next number and they don't know what that number is that 87 00:06:24,640 --> 00:06:29,800 can be a little bit hard for the kids or kind of give it a like an air of like oh 88 00:06:29,800 --> 00:06:33,120 if you don't know just say oh I need some help and then another student can 89 00:06:33,120 --> 00:06:36,720 help them if they're not sure what number comes next so they can try counting 90 00:06:36,720 --> 00:06:40,480 around the circle so one person starts one the next person to and then try and 91 00:06:40,480 --> 00:06:45,120 get all the way around the circle you can also play a game like pop where they 92 00:06:45,120 --> 00:06:49,400 would count just a smaller sequence so it might be one two three four five and 93 00:06:49,400 --> 00:06:54,120 then the person who's five needs to pop so they'd be one two three four pop and 94 00:06:54,120 --> 00:06:57,680 then it would start over for the next person so be like one two three four 95 00:06:57,680 --> 00:07:01,960 pop and then the next person starts again from one one two three four pop and 96 00:07:01,960 --> 00:07:05,280 then keep going that way to see if you can get around the circle and that's 97 00:07:05,280 --> 00:07:09,640 great for smaller numbers or smaller sequences so my example was one two 98 00:07:09,640 --> 00:07:14,600 three four five but if we're having a tricky part of your sequence like the 99 00:07:14,600 --> 00:07:22,920 teen numbers 11 12 13 14 15 or crossing a decade so you might do 17 18 19 20 21 100 00:07:22,920 --> 00:07:27,120 like that kind of thing is another way that you could use counting around the 101 00:07:27,120 --> 00:07:31,560 circle or pop in a way that would help kids just practice that tiny little 102 00:07:31,560 --> 00:07:35,000 sequence that's giving them trouble when they're hearing it a lot in a different 103 00:07:35,000 --> 00:07:38,520 way and just like you counted forwards you can do backwards too so you could do 104 00:07:38,520 --> 00:07:43,440 like 10 9 8 7 6 5 4 3 2 pop and then keep going that way the speaking of 105 00:07:43,440 --> 00:07:46,680 counting backwards the one that I really like the best and my kids really like the 106 00:07:46,680 --> 00:07:50,320 best was blast off counting like a rocket so what I would do is I would put my 107 00:07:50,320 --> 00:07:53,880 like my hands above my head kind of like a little rocket and we start like in a 108 00:07:53,880 --> 00:07:59,480 squatting position and then we start from 10 to be 10 9 8 and after each number 109 00:07:59,480 --> 00:08:02,520 you get a little bit higher a little bit higher like you're in a rocket blasting 110 00:08:02,520 --> 00:08:06,160 off and then when you get to 0 you actually blast off and get your arms up 111 00:08:06,160 --> 00:08:09,600 like you really blasted off the kids really enjoyed that one as well the 112 00:08:09,600 --> 00:08:13,720 next one that I'm going to go more in depth with next week is coral counting 113 00:08:13,720 --> 00:08:17,720 and again that's great for shorter number sequences that you're counting 114 00:08:17,720 --> 00:08:21,560 together and everybody is hearing and that routine comes from the coral 115 00:08:21,560 --> 00:08:25,480 counting and counting collections book which is a great resource to have check 116 00:08:25,480 --> 00:08:29,280 out see if you have it in your professional library at your school or 117 00:08:29,280 --> 00:08:33,720 you can get your hands on it because it really is a great book for coral 118 00:08:33,720 --> 00:08:37,520 counting and counting collections which is a hands-on way for kids to really 119 00:08:37,520 --> 00:08:41,920 develop an understanding of how many of quantities numbers are so if you have the 120 00:08:41,920 --> 00:08:45,520 opportunity to thumb through that book it's a great one as you get into like 121 00:08:45,520 --> 00:08:49,800 first grade second grade the kids have to start skip counting skip counting by 122 00:08:49,800 --> 00:08:53,640 tens is I I feel like an easier one that will help your kids get to 100 because 123 00:08:53,640 --> 00:08:57,240 if they can skip count by tens they can cross the decades which trips up the 124 00:08:57,240 --> 00:09:02,120 kids and the strategy I use for that one was just making up a song for counting 125 00:09:02,120 --> 00:09:06,040 by tens and that's the only one that I did we did it every single day and that 126 00:09:06,040 --> 00:09:10,560 really really helped a lot of my kids get over the hump of not being able to 127 00:09:10,560 --> 00:09:16,040 cross over a decade so like getting stuck on 29 39 49 they would sing the song in 128 00:09:16,040 --> 00:09:19,280 their head and remember which one came next and then they could keep going so 129 00:09:19,280 --> 00:09:22,800 that one I'm not well alright don't judge me I'm not a singer but also I 130 00:09:22,800 --> 00:09:31,800 taught Spanish immersion so it was in Spanish so 10 30 40 50 60 70 80 90 131 00:09:31,800 --> 00:09:37,120 100 because 60 and 70 60 and 70 in Spanish it tripped them up every time 132 00:09:37,120 --> 00:09:42,880 they would either skip one or just skip both and go from 50 to 80 it's like well 133 00:09:42,880 --> 00:09:48,200 that's not gonna work we're gonna have to do 60 and 70 so that was I just sang 134 00:09:48,200 --> 00:09:51,200 that song with them every day you could do it in English as well and that really 135 00:09:51,200 --> 00:09:57,200 helped a lot of kids who understood the sequence 21 22 23 31 32 33 they just 136 00:09:57,200 --> 00:09:59,880 couldn't remember what the name of the decade was and once they remembered it 137 00:09:59,880 --> 00:10:02,920 they could keep going that really helped them out speaking of skip counting skip 138 00:10:02,920 --> 00:10:07,040 counting by tens like I said is the one for kindergarten that we really focus on 139 00:10:07,040 --> 00:10:10,160 at least at my school is the one that we really focused on but as they get into 140 00:10:10,160 --> 00:10:13,280 first grade second grade they're gonna have to practice skip counting by fives 141 00:10:13,280 --> 00:10:18,680 skip counting by twos and I think the concept of skip counting for the kids is 142 00:10:18,680 --> 00:10:22,720 also kind of abstract like why would I need to skip numbers especially when 143 00:10:22,720 --> 00:10:26,200 they're little you do not want them to skip numbers because if they skipped a 144 00:10:26,200 --> 00:10:30,640 number they have the wrong quantity so skip counting is one that can also be 145 00:10:30,640 --> 00:10:34,360 kind of abstract so something that I'd like to do with skip counting if I'm 146 00:10:34,360 --> 00:10:37,720 focusing on skip counting by fives or skips counting by twos is bring it into 147 00:10:37,720 --> 00:10:45,080 a problem-solving type arena and make it make sense make it more tangible why 148 00:10:45,080 --> 00:10:49,040 you would want to skip count instead of counting by one as grown-ups we know 149 00:10:49,040 --> 00:10:53,840 skip counting can make you more efficient in your counting but that's more of a 150 00:10:53,840 --> 00:10:58,560 higher level skill than base level one-to-one correspondence so one way I 151 00:10:58,560 --> 00:11:03,840 like to bring that in is I like to show them images of dice like a lot of dice 152 00:11:03,840 --> 00:11:07,200 together and they have to figure out how many pips or how many your dots are on 153 00:11:07,200 --> 00:11:11,360 their dice without counting by ones so they're looking at their image and then 154 00:11:11,360 --> 00:11:14,840 they start to kind of group them together and maybe they make they group 155 00:11:14,840 --> 00:11:19,240 them together in ways that make more sense so since counting by tens is the 156 00:11:19,240 --> 00:11:22,760 first one that they learn making tens might be something that makes more 157 00:11:22,760 --> 00:11:26,280 sense to them so they might know two fives make a ten so if I have an image 158 00:11:26,280 --> 00:11:30,960 of 20 dice that are all showing the five they might start grouping them by ten 159 00:11:30,960 --> 00:11:34,720 so that may be like okay these two are ten so instead of doing five ten 15 20 160 00:11:34,720 --> 00:11:40,200 they make do 10 20 30 and it just gives kids an opportunity to use what they 161 00:11:40,200 --> 00:11:45,840 know to make sense of this newer task that they're learning in a tangible way 162 00:11:45,840 --> 00:11:50,600 and I will have some examples of that that you can see in the show notes along 163 00:11:50,600 --> 00:11:54,880 with the blog post about this video all of that good stuff will be in the show 164 00:11:54,880 --> 00:11:57,680 notes so you can take a closer look at some of the things that I'm talking 165 00:11:57,680 --> 00:12:01,960 about and some of the images that I might use of my kids so that was a lot of 166 00:12:01,960 --> 00:12:07,160 different ways to help your kids get that number sequence which can I feel like 167 00:12:07,160 --> 00:12:12,880 be the most taxing time-consuming part of teaching math just because for me like 168 00:12:12,880 --> 00:12:16,240 I said I taught Spanish immersion so I would teach the same lesson twice one 169 00:12:16,240 --> 00:12:20,440 to my first class one to my second class and counting to a hundred every day 170 00:12:20,440 --> 00:12:25,920 twice was a nightmare I was like I don't want to do this anymore and I feel like 171 00:12:25,920 --> 00:12:29,000 sometimes the kids are like I don't want to do this anymore either so these are 172 00:12:29,000 --> 00:12:33,400 just some ways to spice it up give it a little something extra and help your 173 00:12:33,400 --> 00:12:36,920 kids be able to count to a hundred and like I said I would say of all of those 174 00:12:36,920 --> 00:12:41,960 things the counting by tens song so starting off the year practicing the 175 00:12:41,960 --> 00:12:45,160 movement counting until we got to a hundred and then after we got to the 176 00:12:45,160 --> 00:12:48,360 hundred day of school which is usually in February adding in the counting by 177 00:12:48,360 --> 00:12:53,440 tens song really help them be able to make it all the way to a hundred by the 178 00:12:53,440 --> 00:12:56,560 end of the year so like I said I hope you found some ideas helpful I hope you 179 00:12:56,560 --> 00:12:59,440 try one out in your classroom and if you do please let me know I would love to 180 00:12:59,440 --> 00:13:04,600 know what your kids are really enjoying in your classroom until then I will see 181 00:13:04,600 --> 00:13:27,880 you next time well you'll hear me next time you're gonna hear me next time