Ancient Number Systems : The Number System

Numbers do not exist. They are creations of the mind, existing only in the realm of understanding. No one has ever touched a number, nor would it be possible to do so. You may sketch a symbol on a paper that represents a number, but that symbol is not the number itself. A number is just understood. Nevertheless, numbers hold symbolic meaning. Have you ever asked yourself serious questions about the significance, implications, and roles of numbers? For example, “Why does the number ten denote a change to double digits?” “Is zero a number or a non-number?” Or, the matter this paper will address: “Why does the number three hold an understood and symbolic importance?”

After looking over the symbols they created and how they were simple and understanding, I realized that the Mayans were way ahead of their time. All they used were dots and lines and as a zero, it was just a rugby ball looking thing. Instead of creating 400 different symbols to create just the number 400, they used four symbols and just changed the combination of them differently. Forty used three symbols, one rugby ball symbol and two single dots. Four hundred used three symbols too, two rugby ball looking symbols and just one single dot. By far more the one of the better in complex number systems. Compared to the Aztecs, who had feathers for 400 and finger symbols for 1, the Mayan’s number system was easy, with just dots and lines.

The Latin American subtraction algorithm is based on the fact that the difference between the two numbers does not change while adding the same amount to the minuend and subtrahend (Indiana University Southeast, n.d.). This algorithm appears to be one that requires precision to detail as it is different from the traditional subtraction algorithm the majority of students have been taught. Regardless of teacher preference, providing students with various strategies allows them to experience the diversity in problem

I think I need to understand the symbols better and how they work in Python, right now my head is thinking as I usually use them as in (1+1) = 2 , (5-2) =7 , 2*7 =14 ...but the answer is 8. how?

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

I will use the assessment from the previous lesson which divided three and four digit numbers by a one digit divisor.

In digit 2 we have a similar circuit, where the subtraction for the entrance minus the exit occurs. However in this one we have another multiplexer that has another two options. On one option we have where the subtraction occurs alone. On the other option we have where the subtraction of the entrance minus the exit minus 1. The reason that we have this minus one is to account for if digit 1 needed to borrow from digit 2. The selector bit for this multiplexer is also again controlled by the output of the function that determines if digit 1 of the exit is bigger

It’s hard to keep all the math rules straight. You may have been thinking of addition. With addition we would

[As a result of the step by step direction in the reengagement lesson, I want students to be able fully grasp the concept of addition; and how the knowledge of addition can be used to provide answers to expressions that require the decomposition of numbers totaling 8, 9, 10. The state standard that I am addressing in this reengagement lesson is 1.OA.1 Common Core State standards; use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together,

At: Students at grade level will be expected to complete 6-8 of the three digit addition problems during the provided activity time. At grade level students will be expected to use at least one of the provided strategies to solve for the sum. Students who finish early will be asked to draw a picture or write and explanation of the strategy/strategies they used to find the sum. The teacher will direct students who are early finishers to complete this task individually. Slow finishes will be provided with three, two-digit addition problems

As a student, I always enjoyed math. In high school I took all of the offered math classes, including Calculus. The first math class I took in college was a breeze, and I thought that this one would be no different. What could I learn about elementary school math that I did not already know? Contrary to my expectation, the first day of class, I learned things about math that had never been brought to my attention. This paper will discuss what I have learned about subtraction, about students, about the Common Core State Standards, and how my concept map has changed since my first draft.

We can use this information for simple division, multiplication and even when multiplying and dividing larger numbers. This information can be used when cooking, grocery shopping, building things etc..

The contents of this worksheet, when correctly completed cover all criteria attached to unit 310.

The reason to why their number system is truly their most remarkable achievement is because it would already be hard to make a number and then have to give it a name of what you or anyone would call it. Not only did they make their own number system, but they also understood. It can be very difficult to make your own language or number system and understand it. It is also very remarkable because at their time not a lot of cultures had the knowledge of the zero, they did.

Symbolic representation using base-ten and expanded algorithms is a way to show students the written connection to the visual models used. The partial-products algorithm is a more detailed step-by-step process and therefore more advisable to avoid errors in students learning to grasp the procedure (Reys ch.11.4). This process allows students to visualise the distributive property more easily. However, the standard multiplication algorithm is quicker and acceptable for students, if the teacher feels they have complete understanding of the steps in the partial-products algorithm.