sequences – Early Math Counts https://earlymathcounts.org Laying the foundation for a lifetime of achievement Mon, 30 Dec 2019 23:32:35 +0000 en-US hourly 1 183791774 Observing Water Table Play https://earlymathcounts.org/observing-water-table-play/ https://earlymathcounts.org/observing-water-table-play/#comments Fri, 22 Jun 2018 06:27:08 +0000 http://earlymathcounts.org/?p=10415 This week I thought we could look at two videos.  The first is less than a minute and it focuses on 4 children, all under three years of age, playing at the water table.  The table is set up with some interesting materials and the children are pretty engaged.  Pay special attention to the ways in which each child is attempting to manipulate the turkey basters. Notice each of their techniques.

Of the three children who are using the turkey basters as a tool to move the water, none of them are using it the way it is intended.  Since we don’t know the background of the children we can’t assume that they have had or have not had experience using turkey basters or observing others using them.  This may be their first opportunity to play with them in the water table. They appear to understand that somehow the liquid is supposed to go into the tube and the rounded end is for squeezing.  They do not know that the rounded end is also key to getting the water up and into the tube. They are using the basters pretty successfully as tools for stirring the water.

The water table is rich with mathematical experiences for children.  Not only are they estimating and measuring, they are also problem-solving .  In this scenario, we can also see the children motor planning**.  They have to figure out how to use both of their hands simultaneously to hold the cups, pour the water, make the water wheel spin, and hold the baster. Both the turkey basters and the making the water wheel turn require a sequence of coordinated movements to make them work.

Now watch the next video.  In this one, one of the teacher has come over and is providing scaffolding around the use of the turkey basters.  What do you think?

How would you support these children? How specific would you be in offering instruction?  How do you know when to provide exact directions for problem-solving and when to encourage independent problem solving?  When do you “teach” and when do you “scaffold?”

One of the things I consider when deciding which technique to choose is whether or not, through observation and experience, and trial and error, a child could figure how to do something (in this case-manipulate a turkey baster) on his/her own.

In the video, the teacher explains the required sequence of manipulations for the basters to work.  She explains to the child that he needs to squeeze the rubber end, put it into the water, release the end so the water will be sucked in, and then squeeze the rubber end to move the water out.  I don’t know about you, but I think this is a very complicated tool to learn how to use. To be honest, I’ve seen many a grown-up fail to use a turkey baster correctly come Thanksgiving time.

You have to follow the sequence exactly or it won’t work.  For young children, especially those under three, following these multi-step directions is very difficult.  As they focus on one part of the problem, they can’t (or find it extremely difficult) to pay attention to the other details at the same time. They may be able to squeeze the rubber end and put it into the water, but then remembering to release it and let the water rise is probably too many things to expect a very young child to be able to do.  You can see that even after the teacher has explained it a few times, the boy continues to struggle while he little girl uses the baster to scoop the water out of the cup.

In the case of a complicated tool, I would show children the steps to make it work.  However, I would focus on the first step, until the children are successful before moving on to the subsequent steps.  I would also play alongside the children and model using the tool.  Remember to encourage the children to follow the steps by explicitly saying, “First squeeze.  Then put the tip in the water.  Then release and watch the water go up.”  Keep repeating this sequence until the children are able to complete the sequence themselves.  They will be so thrilled when they master this tool.

 

 

**Motor planning is the ability to conceive, plan, and carry out a skilled, non-habitual motor act in the correct sequence from beginning to end. 

https://nspt4kids.com/healthtopics-and-conditions-database/motor-planning/
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The Importance of Daily Routines https://earlymathcounts.org/the-importance-of-daily-routines/ https://earlymathcounts.org/the-importance-of-daily-routines/#comments Wed, 10 Aug 2016 12:35:28 +0000 http://www.mathathome.org/blog1/?p=3744 Following a daily routine at school provides stability for children, allowing them to feel more secure in the classroom setting. The schedule should not be rigid; in fact, the ideal schedule is flexible and adapts to both the needs and interests of the kids, allowing for spontaneity within the structure of the school day. A regular and predictable routine helps children understand what’s coming next, what they’ll be expected to do during each part of their day and encourages autonomy, independence and confidence. Mostly, it helps children feel relaxed and free to explore the room, activities and relationships. I have also found that this structure works well for all types of teachers. It provides a framework for necessary curricular planning and allows for creative responses to “what-if” scenarios.

Generally speaking, the daily schedule should have large chunks of time dedicated to broad activities. It is far more important to have an hour scheduled for “free play” and the next hour scheduled for “outdoor time” than to include a ten-minute chunk for “transition” or “bathroom break.” The broad categories ensure fluidity and allow the teachers to meet the needs of the group flexibly on each day.

Mathematically, sticking to a daily routine allows children experience sequencing first-hand and will help when it comes time for more sophisticated math operations such as adding and subtracting two digit numbers and understanding the order of operations, the rules that define which procedures to perform first in a math equation (surely we all remember: PEDMA or Please Excuse My Dear Aunt Sally/parentheses, exponents, multiplication, division, addition, subtraction). The order of routine in the classroom becomes meaningful to children when they realize, for example, that they can’t sit down to eat snack at the table unless they’ve first cleaned the table of playthings (“cleanup time”). This is also true when they are working on getting dressed to go outside. First the children put on their coats and then they put on their mittens. The natural consequence of putting on mittens before coats is that for most, it simply isn’t possible to zip the zipper or close the buttons with mittens on. Encouraging “order of operations” within the classroom structures and activities by allowing the children to see, feel, and experience the natural outcomes of the sequencing hammers the concepts home in real and meaningful ways.

When creating a schedule, don’t forget to allow ample time for transitions which can be stressful to both children and adults); be sure to incorporate a realistic time for clean up, hand-washing, and dressing (for going outdoors), in addition to snack set-up and preparing to go home. Transitions are learning opportunities in their own right! However, best practice asks that we minimize transitions as much as possible to lessen the anxiety associated with them and to increase the time children spend at play.

I have seen a preschool class transition from free play to cleanup time, only to sit at the rug and wait for the whole group to transition to the washroom for hand washing. Once arriving at the washroom, all of the children had to sit against the wall and wait to have their turn washing their hands. Once they were done, they lined up and waited for all of the children to finish. They then went back to the classroom and sat at the tables while they waited for the snack to arrive. Each part of this scenario is another transition and there are far too many. How would you reduce the above-described transitions down to 2?

I have found that teachers who voice the daily routines as a part of their practice encourage this type of thinking in the children. It is OK and actually recommended that you say things like, “First we have snack and then we go outside.” Or, “After you wake up, your dad is coming to get you.” Even though you might think you say these things every day – all day long – young children do not have enough experience in their short lives to know for sure how the schedule works. They need reassurance about their upcoming activities and the way their day will unfold. You can provide that by giving voice to the daily routines in your classroom.

posted by Alison Balis Hirsch

 

 

 

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Patterning and Sequencing Kit https://earlymathcounts.org/patterning-and-sequencing-kit/ https://earlymathcounts.org/patterning-and-sequencing-kit/#comments Mon, 22 Apr 2013 11:00:30 +0000 http://www.mathathome.org/blog1/?p=1556 Patterning and Sequencing KitThis kit is a really nice way to support patterning and sequencing in your program.  I think young children might find it interesting, since it has small spaces that can be open and closed, and you can change up the patterns by inserting a different card.

I was thinking it would be nice to create one of these using an ice-cube tray or an egg carton (the ice cube tray would be more permanent).  With manipulatives you already have in your program, you can make a pattern on one side of the tray and have children copy the pattern on the other.  You could also extend a pattern by putting in the first part of the pattern and ask children to complete it.  I have created the examples below so you can clearly see what I mean.

ice cube tray pattern 1                                                   Copy the Pattern

ice cube tray pattern 2                                                  Complete the Pattern

Sometimes it is nice to buy beautiful materials and sometimes it is nice to create beautiful materials.  Give it a try and let us know what you think.

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