# data[].attributes.body
In class we talked about how hard rulers are for students to use. Professor Marin said we should reminds students that rulers are just like a number line. The only challenging aspect is that fractions are learned way later then the ruler is introduced, but the ruler requires an understanding of how fractions are used and what they are. When rulers are introduced in 1st and 2nd grade I must make sure students understand how to properly use them and what challenges they may face with them.

# data[].attributes.body
In class we went over geometrical ideas and how to use tools to teach students to spot similarities and differences. I learned how shapes are different and similar to one another. This is important to understand how shapes and measurement relate to the world around us.

# data[].attributes.body
In class we discussed decimals. One thing I learned about decimals is that they can be regrouped just like whole numbers. If you have 11 tenths then that represents 1 and 1 tenths. By demonstrating this to students it can help them understand that decimals follow the same regrouping patterns as whole numbers and that they are based on a system of 10s.

# data[].attributes.body
Today we began discussing decimals and how to introduce them in the classroom. One way is to connect it with the metric system and do an activity that combines both ideas. This will get students engaged and give them a visual representation of the metric system and decimals. Decimals can be confusing especially their value, but by comparing them fractions of 10, 100, and 1000 a student can better understand what they represent.

# data[].attributes.body
Today we rapped up talking about fractions. We discussed different strategies to multiply and divide fractions. One take aways from this class is to use real world examples when teaching students how to multiply and divide fractions. This allows them to understand the answer and why it makes sense in this setting (for value because multiplying fractions does not make a bigger value like multiplying whole numbers).

# data[].attributes.body
In class we discussed different strategies that could be used to compare fractions. I learned about common numerator which I have definitely used but never knew it was an official strategy. These strategies help to understand the abstract ideals of fractions.

# data[].attributes.body
Today we started to explore fractions using desmos. By representing what a fraction is using a example student will experience outside of the classroom they will better understand the significance and what a fraction really is.

# data[].attributes.body
We talked about rules that will eventually expire as a student continues their math career. Here is the list of the 13 rules that will be broken.
1. When you multiply a number by ten,
just add a zero to the end of the number.
2. Use keywords to solve word problems.
3. You cannot take a bigger number
from a smaller number
4. Addition and multiplication make
numbers bigger.
5. Subtraction and division make
numbers smaller.
6. You always divide the larger number
by the smaller number.
7. Two negatives make a positive.
8. Multiply everything inside the
parentheses by the number outside
the parentheses.
9. Improper fractions should always be written as a mixed number.
10. The number you say first in counting is always less than the number that comes next.
11. The longer the number, the larger
the number.
12. . Please Excuse My Dear Aunt Sally.
13. The equal sign means Find the
answer or Write the answer.

# data[].attributes.body
In class we discussed different division strategies that could be used to solve a division problem. I only ever learned the standard algorithm so it was interesting to learn about different ways that division problems could be solved. I helped me to better understand place value surrounding division and is a nice progression to the standard algorithm.

# data[].attributes.body
Today in class we talked about multiplication strategies. I learned many new strategies that helped me better understand and improve my understanding of multiplication.

# data[].attributes.body
We talked about the disparity between boys and girls in math. We discussed how they were formed and what we can do to make math more equal. A lot of it comes down to teaching young girls that they can do math and that they can love math not just boys. Girls need a strong influence from either there mom or another female figure in there life. This women needs to encourage and teach her that math is for everyone.

# data[].attributes.body
One take aways of class today is how to incorporate parents into the math classroom. The teacher should provide instructions for the parents so that they know what strategy is being used and how to help their kid use this strategy. The parents want to understand why their student is learning these strategies and it is up to the teacher to explain how these strategies will help students with math.

# data[].attributes.body
We examined how even and odd numbers relate to one another.

# data[].attributes.body
Today we talked about how a teachers mindset effects a students mindset and how to build a growth mindset in a student. I learned that the teachers feedback and what they give feedback on effects a students growth mindset. Students also develop a mindset off the teachers mindset towards a subject. If the teacher makes an effort and shows engagement and a positive mindset towards a subject, so will the students.

# data[].attributes.body
Today in class and with the problem set we learn how to teach number placement which can be very confusing for new mathematicians. I had never thought of looking at number placement through anything but base 10 format, but now I know number placement can be done in any format. We used the base 3 format in the problem set to do this and I learned a lot about how numbers are ordered and formed.

# data[].attributes.body
Today in class we discussed different types of addition, subtraction, multiplication, and addition word problems. We learned how to write word problems to make students think differently using all these ideas and concepts to master these kinds of problems. Instead of thinking like students we have started looking at math like teachers. also really enjoyed getting creative with writing the word problems.

# data[].attributes.body
I was surprised to learn about the different strategies that can used to support fact fluency. I have been using these strategies for years but never realized that they had names and logic behind them. I always assumed that everyone else just had these facts memorized and I was the odd one out having to use these to prove my fluency. I think it is important to share that these can be used and encourage their use in the classroom.

# data[].attributes.body
Math games can help students become fluent in their math facts. Games allow students to learn from their peers new strategies and ways to solve the basic facts. Practice will help students become efficient and flexible when using different strategies to solve these math facts.

# data[].attributes.body
In class we discussed the importance of teaching students math vocabulary starting at a young age. I never thought of the impact this has on the students. My teachers rarely taught me math vocabulary so now it is very hard to feel comfortable using the vocabulary. I have noticed I have struggled explaining ideas about math concepts through the years but have recently learned that easily describe these concepts. I am going to work on building my math vocabulary to share with my future students.

# data[].attributes.body
Today in class we discussed the abstract ideas of numbers. I never realized how complicated numbers are to someone who does not already know what they mean. We discussed strategies students use to learn what a number means and represents. Numbers are also represented by many different symbols and students need to understand that they are all the same thing.

# data[].attributes.body
In class we went over the first problem set which involved manipulatives. I learned that even though everyone had the same manipulatives to solve the problems everyone uses them in a different way. Some people prefer certain manipulative over other manipulatives. We also discussed the use of a number line in the classroom. I was shocked to find out that only students in 2nd grade and above can understand the use and purpose of the number line. I honestly had not completely understood the purpose until watching the panopto video which explained that numberloine represent the distance between the numbers not just the concept of the numbers. I then connected number lines to rulers and now have a much better understanding of how to use both of these tools in my future classroom.

# data[].attributes.body
Today, in class we talked about the importance of manipulatives in the class. We talked about the how manipulatives can be used to make abstract ideas concrete. Manipulatives give students the confidence to understand and comprehend math. Some limitations that manipulatives is when teachers do not properly explain  the purpose and use of the manipulatives as tools not toys. Stigma surrounding manipulatives can cause students to not want to use them.