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When teaching students about the operations of decimals it is important to demonstrate how to do it by hand and the process. It shows how the teacher and calculator come to the correct answer while offering a visual. I think it is also important to show multiple ways to do the problem because what might work for someone might now work for another person. I like the idea of dividing fractions by multiplying by 1/10, 1/10, 1/100 to form a whole number. It is easier to do the math that way rather than dealing with decimals. - CC

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One thing that has stuck with me so far in this class is the idea that fractions can be taught to students in so many ways. There are multiple explanations to solving problems, and that makes it easier for students to conceptualize. When working with fractions, students can draw pictures, use standard methods, and work with the number line. If one way does not click with them right away, there are other ways to explain the concepts.
-E.L.

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Today I learned that some students might not know how to read the problem, so it is best to provide them a variety of methods on how to add/multiply decimals for example.  -D.R.

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It is important to always remember to place the decimal in the correct spot. Even the smallest mistake can give you the wrong answer. However, there are many ways to figure out the same problem.
-K.N.

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When working on decimals with students, it is important that conceptual understandings are developed so small details/mistakes can be noticed.

Paige

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Emma McNally

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If Chloe answered 0.4 for the problem 0.2+0.02 it would be necessary to explain place value of 10ths and 100ths. Perhaps showing an example of 10+2. If she has understanding of this problem and gets the answer 12, you could then return to the problem with decimals and show how place value would effect it. -GB

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I learned that if you are struggling with the decimal place, you can multiply by 1/1, 10/10, 100/100, etc. Whatever makes your fraction easiest to solve. I prefer looking at it as a whole number divided by a whole number, and this is a good way to find equivalent fractions to get the same answer.
K.D.

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I have learned that there are multiple ways to explain one problem. For example, when looking at fractions, they can be shown by drawings, number lines, and standard ways. If a student does not understand a problem on way, they can be shown another.
EL

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There are many ways to multiply decimals, so  that makes it easier for different students on different levels to solve it.

E.G

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There are many different ways to help students better conceptualize a problem through utilizing our problem solving strategies in our explanation--whether it be drawing a picture, setting up a simpler problem, or working backwards!
ID

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when multiplying decimals, change the numbers to fractions using power of 10s so that you can easily see the multiplication AND where to put the decimal!

Jade M

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I've learned a lot more about how to explain multiplying and dividing decimals, and how to  show kids the difference between the place values and why understanding them is important. I know how to represent the tenths and the hundredths values with base ten blocks, and I understand that this will help kids mark the difference between the place values. (JB)

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When working on decimals with students, it it important that conceptual understandings are developed so small details/mistakes can be noticed

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.4 is closer to 1. That is another way to compare the two other than drawing it out.

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Kaitlin Connolly

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Nicole and Heidi

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I learned about decimal operations and ways to teach it. I found that using a combination of visual aids, just numbers, and a mix of decimal fractions could serve to be the most helpful. I think the array model could be helpful for some decimals, but stops working the smaller you get, so another visual aid such as blocks may work better for that scenario. I think this could be a difficult topic for students, so really understanding how place value works will be important. -MS

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14 x 2.3

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if you change the decimals to fractions using powers of 10, it is easy to see the multiplication of the numbers AND where to put the decimal place!

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The value of the digit increases by a factor of 10 when the digit is moved one column to the left; the value increases by a factor of 100 moving 2 columns left

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Decimals Base 10 blocks on Place Value chart

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Decimals Base 10 blocks on Place Value chart

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Decimal grids/number line compare .36 and .4

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Decimal grids/number line compare .36 and .4