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I learned the importance that the"simple things" have on math instruction. For example, using the folding exercise with multiplying fractions and be cautious of wording can all help instruction.
MJ

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I learned how to demonstrate to students how it can be applied to real life scenarios as well as a hands on model that students can make any time.

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I learned how to visually show multiplication of fractions and divide paper into various fractions which is a more conceptual way of teaching fraction multiplication. EW.

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I learned how to draw a picture pertaining a multiplication problem that includes fractions. This makes it much easier for students to visualize how it is done.

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I learned what how to answer questions with "groups of" and how to fold paper into fifths to model fraction multiplication.

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The folding method can be really useful for helping students visualize the multiplication of fractions...once they know how to fold the paper!

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Today I learned how to make fifths. I am still a little hesitant with it but I know way more than I did before on this concept. I think these strategies can be very helpful when teaching students in the future!

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I learned how to fold into fifths. I also gained a better understanding on the area models.

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I learned how to make fifths on a piece of paper. As well as what I need to teach students so that they can be successful as reading and doing fractions.

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I learned how to show multiplication of fractions by folding paper as a manipulative as well as drawing out how to multiply fractions on paper. This helped me better understand what it means by "____ of _____."

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After today's lesson, I better understand how to apply my prior knowledge of the standard algorithm for multiplying fractions to the paper folding method/strategy. Also, I finally learned how to fold a paper in fifths, a skill that I will definitely need to use when teaching students in the future.

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I learned how to read the problem 2/5 X 1/3 using the word "of". I did not know how to read a problem like this before. KH

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Using visuals such as different blocks to represent different parts of a whole can help students visually see how to add/subtract different fractions. I also think using a number line that jumps from fraction to fraction showing the difference is a great visual for students to understand what is happening.

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In terms of teaching fractions and decimal operations to students, it is important for students to first understand that decimals are fractions and fractions are decimals. They are just in a different form. Using manipulatives would allow students to understand that relationship. When going through a math problem for fractions or decimals, it is important to think aloud the thought process because students are likely to solve the same way. Solving in multiple ways will show students that there is not just a single way to solve. Additionally, reminding and showing students to check their work is important because it reinforces the thinking they used to solved the problem.

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Teaching fractions and decimals can be achieved using manipulatives. By using manipulatives, students are able to visually see the breakdown of the numbers and their relations to other numbers. Also, allowing students to understand the rules of fractions and decimals BEFORE complex ideas creates a foundation for trickier content. EW.

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I love how there are many ways to teach fraction and decimal operations rather than just the standard ways such as finding common denominators and lining up addition/subtracting like I remember learning in elementary school. I think teaching students how to use methods such the number line, manipulatives, and drawing diagrams, keeps the focus on understanding the concepts of fractions and decimals. Rather than being taught what to do, students are taught how and why various fraction and decimal operations occur. Students are not longer just going through the process of solving the math problem, but they are understanding what they are doing, why they are doing it, and how it can be shown in multiple ways.

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To display how and why we get a common denominator when adding and subtracting fractions. making students visually understand and recognize how we got to that common number

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Fractions and decimals are an important concept to learn for some basic life skills. Some tools for teaching fractions and decimals that I would definitely use are number lines and fine manipulatives. Students learn extremely well when hands-on activities are involved so I think using these strategies will help them conceptualize the topic quicker and easier.

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Math can be very difficult and complex to understand. It is important that teachers attend to the needs of the students and different learning styles to make concepts easily understood. Using manipulatives, number lines, and other visuals sets students up for success as they are able to see and feel the math being down which allows them to better understand the concept and skill.

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Using visuals and hands on activities very helpful and beneficial for the students when learning harder concepts like this because it can help the student visually see and picture the problem when working with tools such as number lines or fraction pieces.

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It is important to build conceptual knowledge by teaching the steps not just for the problem students are working on, but how they can apply those steps to other problems that are similar. Using the correct terminology helps with this.

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Students can use the fraction pieces and layer them to visualize fractions. This helps them to have visual proof and reason when it comes to problem solving.

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I think using a number line is very effective in how conceptual and representative it is. I think that it would be a nice touch to give all students a laminated number line and expo marker where students can mark up there number line and solve the problem with a universal classroom tool

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It is important to go over the process of coming up with the number for a common denominator because this is a concept that students often struggle with. Also, having multiple ways of representing problems to students, like using a number line, can be helpful for students who are working on conceptually understanding fraction operations.

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The most important thing to do while teaching fractions is to explain in detail and use terminology that will be helpful for students to know and use. It is also important that we provide a visual either through manipulatives or drawings so that they are not just able to hear how to do it but also visualize it.

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It is important to conceptualize ideas to students to they truly understand the content, rather than just the procedure.

CB

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With topics like fractions and decimals the whole concept can be quite confusing to students, so the use of manipulatives, number lines, visual representations, etc. can be quite helpful in making things less confusing for students