Number theory

mathematician Leonardo Fibonacci discovered the unique properties of the Fibonacci sequence. This sequence ties directly into the Golden ratio because if you take any two consecutive Fibonacci numbers, their ratio is very close to the Golden ratio. As the numbers increase, the closer the get to the golden ratio. As the numbers decrease, the farther the…

of all numbers: The dictionary meaning of prime is ‘Of first importance’ or ‘Of the best quality, excellent’ etc. What is so great about prime numbers? A number is said to be a prime if it is divisible only by 1 and itself. 5, for example, is a prime number because it is divisible only by 1 and 5. The number 4 can be divided by 1, 4 AND 2. So it is not a prime number. Numbers that are not primes are said to be composite numbers. The fundamental theorem of Arithmetic states that all numbers are…

This brought about the idea of using cooperative learning strategies to help the students learn from one another and increase each student’s numeracy skills. When students were allowed to speak both English and Arabic, the students’ knowledge of numbers seems to increase slightly. Incorporating different cooperative strategies such as think pair share, roundtable, and strategic grouping will help each student improve their numeracy skills because each will be forced to think, as well as…

I had whole numbers, mixed numbers, and fractions being multiplied together. I had him work through a few with me, including drawing pictures together, and then gave him a variety of problems that I wanted him to work through on his own (I was right there to help if he got…

Although the number system is the same as in the United States of America, the way they are written in text is different. The numbers are fairly similar. They have the same number symbol, but with a diagonal line going through them from the top left to the bottom right. The numbers are used in various ways such as stating a monetary value, timekeeping, and measurements. They are all kept on a form…

Classify objects into given categories; count the number of objects in each category and sort the categories by count. K.CC.4a. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. K.CC.6. Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using…

numerical system where he assigns specific words to specific numbers. “Each word had a particular sign, a species of mark; the last were very complicated. I attempted to explain that this rhapsody of unconnected terms was precisely the contrary of a system of enumeration… Funes did not understand me, or did not wish to understand me”. In his attempts to make every number clearer, he decides to specify and assign a word to the number. However, the way that he goes about this assignment, which…

supportive atmosphere in Mark’s home, the activities ran smoothly. Mark engaged in three activities including number sense and addition activity, the combination of mathematical language and numbers activity, and coins activity. During the interactions, one educator observed and took notes, while the other educator initiated activities and managed the process. The first activity was number sense and addition activity. Educator showed five magnets stuck on a whiteboard in a random pattern and…

to see the pattern that the higher the number of pieces the more that is required to make a whole and therefore make the pieces smaller as the number gets larger. Number lines are an excellent resource for showing the difference in value between fractions, as it allows for the factions to be compared side by side. Educators have to be careful at this stage when comparing fractions, a common misconception is that the numbers within the fraction are whole numbers. This causes students to compare…

specifies a predefined symbol map with the number of distinct symbol map values to use as symbols. samples per symbol specifies an even, positive number of samples dedicated to each symbol. Multiply this value by the symbol rate to determine the sample rate. The default value is 16. symbol values specifies an array of symbol values with an order that corresponds to the symbol map. The number of QAM states in the array must be 2N, where N is the number of bits per symbol. The length, or…