Monday, November 9, 2015

Fourth Night (Upenn/Bard)

On the fourth night, the Number Devil takes Robert to the beach, in the dream. The Number Devil introduces unreasonable numbers and numbers that are called rutabagas. Huh!!! He describes numbers that are continuous. He also draws a square and tells that if each side equals to one, the diagonal line from one edge to the other will equal another continuing number.



When answering questions in a post, be sure to answer them in complete sentences. Avoid echoing someone else's comment. Utilize more of the questions. This means find a question that no one has answered, or answer a same question from another point of view. Remember to expand your thinking and think of mathematical examples that will make your response richer. Please respect the blog. Do not treat this blog like a social media site.

Your task this week is to choose one of the following questions and post an intelligent response. Use the bookmark to help guide your comments. Then continue reading through Chapter 5.


1.       How are 1÷3 and 1/3 similar? Find the result of this calculation.
         
2.     The number devil states, “Fractions are something you can’t abide.” What does he mean?

3.      If ⅓ of 33 bakers can make 89 pretzels in 2½ hours, then how many pretzels can 5¾ bakers make    in 1½ hours? Find the discrepancy in this problem.

4.      The number devil says, “The chain of nines behind the zero, if it goes on forever, will turn out to be equal to one.” What does he mean? Is this possible? If so, when? If not, why?

5.       Why are the unreasonable numbers referred to as unreasonable? Identify the mathematical term for the unreasonable numbers.

6.       How are hopping numbers and taking the rutabaga of numbers related? Find the rutabaga of 36.

7.       Identify the mathematical term for taking the rutabaga of a number. What type of number is the rutabaga of two?

8.       What is special about the number of small boxes within the squares drawn by the number devil?

9.       How can you go from hopping numbers to taking the rutabaga of numbers using square models? 

10.    What is the relationship between the diagonal of a square and the sides of that square?

Friday, November 6, 2015

Fourth Night

On the fourth night, the Number Devil takes Robert to the beach, in the dream. The Number Devil introduces unreasonable numbers and numbers that are called rutabagas. Huh!!! He describes numbers that are continuous. He also draws a square and tells that if each side equals to one, the diagonal line from one edge to the other will equal another continuing number.


When answering questions in a post, be sure to answer them in complete sentences. Avoid echoing someone else's comment. Utilize more of the questions. This means find a question that no one has answered, or answer a same question from another point of view. Remember to expand your thinking and think of mathematical examples that will make your response richer. Please respect the blog. Do not treat this blog like a social media site.

Your task this week is to choose one of the following questions and post an intelligent response. Use the bookmark to help guide your comments. Then continue reading through Chapter 5.


1.       How are 1÷3 and 1 similar? Find the result of this calculation.
                   3
2.     The number devil states, “Fractions are something you can’t abide.” What            does he mean?
3.      If ⅓ of 33 bakers can make 89 pretzels in 2½ hours, then how many pretzels can 5¾ bakers make    in 1½ hours? Find the discrepancy in this problem.


4.      The number devil says, “The chain of nines behind the zero, if it goes on forever, will turn out to    be equal   to one.” What does he mean? Is this possible? If so, when? If not, why?


5.       Why are the unreasonable numbers referred to as unreasonable? Identify the mathematical term    for the unreasonable numbers.
6.       How are hopping numbers and taking the rutabaga of numbers related? Find the rutabaga of 36.
7.       Identify the mathematical term for taking the rutabaga of a number. What type of number is the       rutabaga of two?
8.       What is special about the number of small boxes within the squares drawn by the number devil?
9.       How can you go from hopping numbers to taking the rutabaga of numbers using square models? 
10.    What is the relationship between the diagonal of a square and the sides of that square?