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Tuesday, November 11, 2014
Tuesday, November 4, 2014
Blog Post #3
A. I choose the Grapes of Math by Greg Tang. I remember reading this book in grade school, and my teacher actually had a project for us to "write" another page in the book. I believe Tang uses great visual aid for young children. It provides kids another way of counting; especially when you can count in groups.
B. In the Grapes of Math, it teaches children the concept of symmetry. Within a single group, you can count as many different types of objects. For example, on the section of Win-Doze: counting windows instead of sheep, Tang teaches the reader to instead of counting the windows that has a light in it, to count the windows that have "zzzzzz" in them. It is much faster to count the dark windows verses the windows with light in them.
B. In the Grapes of Math, it teaches children the concept of symmetry. Within a single group, you can count as many different types of objects. For example, on the section of Win-Doze: counting windows instead of sheep, Tang teaches the reader to instead of counting the windows that has a light in it, to count the windows that have "zzzzzz" in them. It is much faster to count the dark windows verses the windows with light in them.
C. This is one of the greatest children's book because it teaches kids how to count in a different way. I believe children learn better if they have a visual aid in front of them instead of just having someone talk about the concept. Same goes in College, I learn so much more when I have a visual to look at verses just sitting there and trying to figure it our.
Blog post number 3
A) In grapes of math the author uses real life examples that kids would be able to relate to in an attempt to teach how to count through grouping. The reader see that there a many reasons as to why counting by grouping is much better and easier as apposed to standard counting. This includes counting ants that are moving too fast to count individually. This teaches kids that it is possible to count to much higher numbers quicker than they ever could have imagined.
B) The concept being portrayed in this book is symmetry. This concept is when you group certain amounts of this in the same number of units. This example is best exemplified when the authors shows that counting fish in groups of four is much better, quicker and more efficient as opposed to counting each one individually. Instead of adding each fish 1+1+1+1+1 etc, it is possible to count through symmetry to count each group of fish in intervals of four.
C) Picture books are in my opinion the best way to teach kids math because it is hard to imagine something one doesn't know for someone who is so young. By seeing pictures, kids can much easily see what is being explained rather than trying to explain a concept without any visual aids. Kids this young need to see what they learn because it is the easiest way to explain what they are learning.
B) The concept being portrayed in this book is symmetry. This concept is when you group certain amounts of this in the same number of units. This example is best exemplified when the authors shows that counting fish in groups of four is much better, quicker and more efficient as opposed to counting each one individually. Instead of adding each fish 1+1+1+1+1 etc, it is possible to count through symmetry to count each group of fish in intervals of four.
C) Picture books are in my opinion the best way to teach kids math because it is hard to imagine something one doesn't know for someone who is so young. By seeing pictures, kids can much easily see what is being explained rather than trying to explain a concept without any visual aids. Kids this young need to see what they learn because it is the easiest way to explain what they are learning.
Mr. Archimede's Bath & Linear Functions
For this assignment I chose to focus on the children's book Mr. Archimede's Bath by Pamela Allen. This is a book I grew up reading. In the story, Mr. Archimede cannot understand why his bathtub is always overflowing and is growing sick of cleaning up the mess. One day he decides to find out where the water is coming from. Mr. Archimede fills the tub with just a little bit of water and hops in with his friends kangaroo, wombat, and goat. He cannot believe the water overflows when all the friends jump in and kicks them out one by one, blaming one after another for the mess. Mr. Archimede finds as each friend hops out, the water depth lowers each time, finally concluding that the addition of each person adds 2 inches to the height of the water.
Mr. Archimede's Bath represents a function of the number of people in the tub and the height of the water. For each input (number of people), one output is produced (height of the water). This particular function is linear because the rate of change (2 inches) is constant.
It is important to depict math in not only real life situations but children's books because it is a way to show real world application at a young age. These concepts are important to build off of in the years to come. Literature in general is effective in portraying mathematical situations because it can numbers and formulas and change them into words and situations which is helpful in understand where the numbers and formulas are derived from and how they work in the world around us.
Taylor McCulley
Mr. Archimede's Bath represents a function of the number of people in the tub and the height of the water. For each input (number of people), one output is produced (height of the water). This particular function is linear because the rate of change (2 inches) is constant.
It is important to depict math in not only real life situations but children's books because it is a way to show real world application at a young age. These concepts are important to build off of in the years to come. Literature in general is effective in portraying mathematical situations because it can numbers and formulas and change them into words and situations which is helpful in understand where the numbers and formulas are derived from and how they work in the world around us.
Taylor McCulley
Anita Tjahyadi Blog 3-- "The Math Curse"
1.Once you have selected a book, read the book and
write a synopsis (summary) of the book.
-The book that I have chosen is called The Math Curse. This book relates to math and to students in a very close matter. The Math Curse, is about a boy and his struggles in finding out that math is everywhere and in everything around him. In the beginning of the book, the little boy first hears how everyday life is basically like a math problem.The next day, he wakes up realizing that he has woken up to algebra when he starts to try thinking of the time in terms of it. As the day goes on, he begins to feel as if math is consuming his life. When everything in his life is transformed into a problem, he turns into a "math zombie". Mathematical subjects like probability turn up when a class treat becomes a fractions problem. Then when he goes to a trip to the local store, he has to deal with counting money and basic math. Finally, He is in a rut and counting the days until he is going to stop seeing math in his everyday life and feels as if he has become a math lunatic. His sister asks him what his problem is, and he responds, "365 days x 24 hours x 60 minutes." Finally, he collapses on his bed, and dreams that he is trapped in a blackboard-room covered in math problems. Armed with only a piece of chalk, he must escape and he manages to do just that by breaking the chalk in half, because "two halves make a whole." He escapes through this "whole", and awakens the next morning with the ability to solve any problem. His curse is broken...until the next day, when his science teacher mentions that in life, everything can be viewed as a science experiment.
2. After reading and summarizing the book, explain in detail the mathematical concept presented in the book.
- There are many mathematical concepts in this book. There is probability, money counting, adding and subtracting and multiplying complicated, everyday equations in life. This book was based solely on the exploration of everyday life and algebra concepts. When the class treats were distributed, the student is confronted with a problem in fractions-- how many are left if a certain amount is take away?[5/8]?[1/4]?
3. Explain in your own words why you believe literature is an effective way to teach/learn a mathematical concept.
- I feel that this book is a good source for people to relate to math because it helps to give a deeper understanding in how math revolves around our world. It helps to show that you do not need to get to stressed over math because you're doing it everyday. If kids were to read this, it could teach them not to panic just because there is a math problem on the board. It could help them to be more comfortable around it and even love math a little more because now they can just see math as little puzzles for them to solve.
-The book that I have chosen is called The Math Curse. This book relates to math and to students in a very close matter. The Math Curse, is about a boy and his struggles in finding out that math is everywhere and in everything around him. In the beginning of the book, the little boy first hears how everyday life is basically like a math problem.The next day, he wakes up realizing that he has woken up to algebra when he starts to try thinking of the time in terms of it. As the day goes on, he begins to feel as if math is consuming his life. When everything in his life is transformed into a problem, he turns into a "math zombie". Mathematical subjects like probability turn up when a class treat becomes a fractions problem. Then when he goes to a trip to the local store, he has to deal with counting money and basic math. Finally, He is in a rut and counting the days until he is going to stop seeing math in his everyday life and feels as if he has become a math lunatic. His sister asks him what his problem is, and he responds, "365 days x 24 hours x 60 minutes." Finally, he collapses on his bed, and dreams that he is trapped in a blackboard-room covered in math problems. Armed with only a piece of chalk, he must escape and he manages to do just that by breaking the chalk in half, because "two halves make a whole." He escapes through this "whole", and awakens the next morning with the ability to solve any problem. His curse is broken...until the next day, when his science teacher mentions that in life, everything can be viewed as a science experiment.
2. After reading and summarizing the book, explain in detail the mathematical concept presented in the book.
- There are many mathematical concepts in this book. There is probability, money counting, adding and subtracting and multiplying complicated, everyday equations in life. This book was based solely on the exploration of everyday life and algebra concepts. When the class treats were distributed, the student is confronted with a problem in fractions-- how many are left if a certain amount is take away?[5/8]?[1/4]?
3. Explain in your own words why you believe literature is an effective way to teach/learn a mathematical concept.
- I feel that this book is a good source for people to relate to math because it helps to give a deeper understanding in how math revolves around our world. It helps to show that you do not need to get to stressed over math because you're doing it everyday. If kids were to read this, it could teach them not to panic just because there is a math problem on the board. It could help them to be more comfortable around it and even love math a little more because now they can just see math as little puzzles for them to solve.
Blog post #3- Alexander, Who Used to Be Rich Last Sunday
1.The children book I chose is “Alexander, Who Used to be Rich Last Sunday” by Judith Viorst. In the beginning of the book the main character Alexander is talking about how unfair it is that his brother Anthony and his other brother Nicholas have more money than him. Alexander complains about his lack in money and that he only has bus tokens. Every time Alexander is rich he knows he will end up only with bus tokens, because he used to be rich last Sunday. He used to be rich last Sunday because Grandma Betty and Grandpa Louie came to visit from New Jersey. They brought gifts for everyone in the family, lox for his father, plants for his mother and they brought one dollar for Alexander and his brothers. His brothers and him love money especially him. His mother told him to save the dollar if he really wanted to buy a walkie-talkie, but saving money is hard for Alexander. After Alexander received the dollar he went and bought candy, did multiple bets, lost money, spent recklessly and when he was going to actually save the money he realize he had zero. Alexander tried to gain his money by searching in Pearson’s telephone booth for nickels and dimes that people sometimes forget, but failed. He went to desperate measures by trying to make his tooth to fall out and putting it below his pillow to get a quarter, but failed again. He gave up and told his grandpa and grandma to come back soon.
2. The
mathematical concept behind the book is Finance and compound interest. Even though the compound interest formula isn't in the story, it can relate in the context of saving money. It is related to finance because Alexander doesn't know how to manage his money and struggles investing and saving money to buy the walkie-talkie. Alexander the main character starts with an amount of one
dollar and every paragraph subtracts the amount he spent in that paragraph
eventually leading to zero. I like it a lot because he spent little amounts of
money every paragraph and it is written like if he was actually rich. It is
very interesting because kids need to pay attention to every amount of money
spent and it has an entertaining story with it. What also makes this math
concept easy to learn and entertaining is that kids can relate to the reckless
spending when their family give them money.
3. Literature is
an effective way for children to learn mathematical concepts because it teaches
them the fundamentals since an early age and in a fun way. If they learn math
in a fun way they will relate math with fun and won’t struggle in the future
like most of us do. Children will also know since an early stage i their life
that math is completely related to life.
Blog Post 3
Ashley Maddox
The Grapes of Math
Part 1: In the story the Grapes of Math, author Greg Tang teaches readers how to use symmetry and grouping to count, rather than counting individual pieces or objects. Through each example, there is a reason the reader can't efficiently count the number of objects whether it be because the ants are moving to fast, the pizza is hot and ready to go, or because the eggs are about to hatch. Near the end of the story, the reader has learned that when there is a large amount of objects to count, it's better to find symmetry and multiply small groups. Finally at the end, there are answers and diagrams of how to group every picture into symmetric groups.
Part 2: Symmetry is the mathematical concept in the book. Grapes of Math explains symmetry with grouping and lines of symmetry. The most clear example of symmetry through grouping is the scallop example. Rather than counting every scallop, the answer key maps boxes around clearly 3 distinguished groups, so the reader counts 11 scallops in one group, and multiplies 11 by 3, as all three sections are symmetrical. Also the book addresses finding symmetry through lines of symmetry. For example to count bugs in the jungle, the answer key shows that the most efficient way is to draw six lines of symmetry.
Part 3. I believe that literature is an effective way to teach math skills because it gives examples beyond numbers. While someone may not be able to see where an unfamiliar shape is symmetrical, it may be much easier to understand the concept on a pizza, or group of animals. Also following a storyline can help people stay engaged and not get frustrated by number or shapes.
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