Saturday, January 19, 2013

Problem Solving

The problems that we worked with in class this week were word problems. We are learning how to solve problems in the most comfortable way for ourselves. Solving word problems may be easiest for someone through making a list, drawing a picture, or even by doing some algebra.

An example of a word problem that we worked on was by finding the correct order of the cars in a race, by taking each of the clues and applying them to the cars. The clues told how far apart, in seconds, certain cars were and they did not all connect to each other. The first way that I solved it was by drawing a picture. 


This method worked, although it was time consuming. After we discussed different methods to solve this problem, I adapted a new way that I liked better and was more efficient. 


The student who used this method explained that they used hashmarks to keep track of the second in between each car. I think it was a great method to use. It was a great example of how much we can learn from each other through discussing problems and methods.


Another concept that we learned on Thursday of this week was the relationship of sets. The Union of a set (represented by a U) means to combine the two sets together as one. While the Intersection of a set (represented by an upside down U) means to only count the part that overlaps. These are shown in the pictures below.


We will learn more about this next week! That is all for this week!




2 comments:

  1. Hello,
    I really enjoyed reading your blog about the word problems and the venn diagrams. In the word problem you discussed about the different cars, me and you had similar thoughts on it. I used the same method you did to first solve the problem because it is what first came to my head. After the discussion we had in class I came up with using a number line with dashes just like you said you adapted as well. I find it very important to adapt new methods in this class by being involved in discussion and open to new ideas. Students will have different ways to solve a problem and it is good for us to learn the different methods as to which they will use that way we will be familiar with it when our time comes in the class room.
    As for the venn diagram, I personally found these very challenging. However, after going over them more I have grown to understand them more. The work we did in the lab on Tuesday of this week really helped out.
    Thank you for your post! Looking forward to more of yours in the future.

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  2. I loved your picture of the car problem. You showed two methods that I saw people in class using and I like how you told which method worked better for you. Everyone has different ways of thinking so showing the two different methods in pictures is a very good idea for your blog. Your venn diagrams are very clear and neat as well. Although I had a hard time figuring some of the unions and intersections, your pictures and explanations helped remind me what to do!

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