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Today I learned how to represent decimals on a number line when trying to find numbers in between two numbers for example, .75 and 1. I also learned why we add more digits in lower place values when you are trying to find numbers in between closer values like .40 and .42. We add more digits in the lower place values because there is a smaller gap between .40 and .42 so you have to add on more digits in the lower place values to come up with numbers in between two numbers with a smaller gap.

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the base ten place value system is what the metric system is based on, and every measurement for any type of object has a corresponding measurement based on how 10 times larger or smaller something is. For example, a meter corresponds to the thousands place, the decimeter to the hundreds place, the centimeter to the tens place, etc. This is partially why we use the metric system to teach this concept to students, but the problem is not every child has prior knowledge of the metric system because the U.S. uses the imperial measurement system

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i learned that to explain how decimals work I can show using blocks. I can do one single unit. then 10x1 equals 10 because I only have one group. so on and so on!

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I learned that when looking at place values it is important to help students understand that as each place value goes up like from one to tens you are multiplying by 10. When you are going down you divide by 10.

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During the demo I learned that base ten plays the main role in understanding place value. Students have to understand base ten before they can understand place value in order to know how to move a demical point.

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One thing I learned about teaching decimals is that each time you move one place value to the left, the number is then ten times bigger. This is a good way to represent solving problems with decimals, to show students exactly what is happening when multiplying by 10, 100, 1000, etc.

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One thing I learned from our decimals discussion is that we should not say we are adding a ten but instead the numbers are shifting x amount of place values to the left/right.

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During the in class demonstration, I learned that there are patterns in the place value chart and that teaching students patterns like these along with the meaning behind them is important.

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I learned how to do things differently then how I was taught when I wasn in school. I used to only have one option of how to solve but now I have learned that you can use bar graph models and number lines to solve the problems.

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I know I wasn't here for Thursday last week, but Tuesday, we talked about multiplying and dividing fractions using an area model, and I felt that that particular representation would have helped me conceptually understand this subject in elementary school

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One thing I learned throughout this unit has been the importance of using visual representations to show students exactly what they're doing when solving fraction operations. Being able to see exactly how to solve the problems using the visual model is really helpful to students because they can visually see how to get the answer, which makes solving them more understandable.

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I learned that when dividing fractions you can use a bar model to represent both fractions. This helps students visually see the fractions they are working with. Bar models can also be used with addition and subtraction of fractions. For multiplication you can use an array model to solve.

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I learned that you can use different models to represent multiplication and division. When I learned how to do these skills, I just learned the operations, not what the meaning behind it was.

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One thing I remember about adding and subtracting fractions is that using visual models can be extremely beneficial for students who struggle to conceptualize math. When I think back to when I learned how to add and subtract fractions, I never really understood what it was I was doing. I just knew how to do it.

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i learned that you can use an array model to show the multiplication of fractions. You can also use a ???tape diagram??? to show how to add fractions. you can even use number lines!