Fibonacci grew up in North Africa and was educated by Moors who were African Muslims of Berber and Arab descent. He met with numerous merchants and learned their systems of computing arithmetic, and soon realized the various advantages of the Hindu-Arabic system over all the other systems. Fibonacci was one of the first people to introduce the Hindu-Arabic number system into Europe. It was the positional system that we currently use today based on ten digits with its decimal point and most importantly a symbol for zero. In the new system the order of the number mattered since for example, twenty-five is completely different than fifty-two. The position of each digit was significant, therefore zero was needed to get digits into their correct places. For example, writing two thousand and five required two zeroes in order for two to be in the thousand place value, and five in the ones place value and there are no numbers in the tens and hundreds place value [11]. German bankers and Italian merchants took notice of Fibonacci’s developments with the use of zero. Accountants knew their books were balanced when the positive and negative amounts of their assets and liabilities equaled zero, but governments were not accepting of the Arabic numerals. Suspicion about the Arabic numerals existed among government officials due to the possible ability to change one symbol…
used mathematical concepts in their culture. Studying the evidence left behind by these people allow us to understand their number systems and their understanding and use of simple arithmetic concepts. Introduction Egyptians and Babylonians are groups of people who both developed mathematical concepts on their own societies. We can learn much from their ways of thinking by the evidence that was left from them. Egyptians are famous for their hieroglyphics which…
This summer I built the classic puzzle game Bejeweled, and abstract strategy games English Draughts and Chess. I did this because I am a big fan of all three of these games, and I wanted to challenge myself by implementing the game logic. Also during the summer I started learning android. The app that I built that I am most proud of is a calculator that works in sixty different numeral systems from base 2 to base 62. I started the project making a calculator that uses hexadecimal instead of…
Development of place value Place value and the ten-base system are important foundations of later mathematical concepts. The development of these concepts takes years and is built upon pre-number and early number development. Therefore, the development of place value and understanding of the ten-base system needs to be understood in relation to early concepts. Classifying and patterning are elements of pre-number development that need to be developed as part of numeracy. Classifying helps…
numerous ways in which fractions are connected in the method of dividing. Displaying division problems with physical materials an/or diagrams can help make sense of division that involves fractions (AAMT, 2016). Teaching and learning fractions effectively is essential as it forms the foundation needed to understand future mathematical topics. By getting hands on, using visuals and learning through games, educators can give students an increased motivation towards fractions, supporting the…
could use the resources to develop a conceptual understanding of how the numbers worked together, and experience reasons why they did not make sense if they were placed in incorrect columns. Using a number of different 100’s charts, the author and child also worked on 10/100 more or less than a given number. The author and child also used an interactive 100’s chart online (ABCYA, 2016b) to include an ICT element in the tutoring sessions. The author also created puzzles using 100’s charts,…
In fourth grade various new math ideas are presented and many students can face difficulties when new material is introduced. Difficulties are especially displayed when it comes to discovering decimals. Although decimals are introduced in fourth grade they are continuously presented in math thereafter. One common misconception held about decimals is the idea that the more digits that are presented in a number, the greater the value of the number. An example of this is students believing that 3…
Part B Diagnostic Assessment During the diagnostic assessment which focused on grade three student, Boris’s comprehension of number placement and value, Boris did well in most areas, with minimal exceptions. Boris took a great deal of time, when requested to partition the double digit the number. Though they progressed to partitioning the larger numbers in a standard and acceptable non-standard manner, they answered the two digit partitioning question with various multiplication equations.…
Data Type Description and example use **You must provide an example of what each data type could be used for** String A data type used in programmings such as an integer and floating point unit, but is used to represent text rather than numbers. • I bought 3 CD’s which were from 3 different artists. It shows that I bought it from 3 different people. • If (Option 1==Option 2) If the values are the same, then it is true. If they are different, then it is false. • Usernames are an example of…
The second grade classroom I am in began this year the students in the classroom practicing their addition and subtraction in a one-digit numbers through various strategies, word problems, and diverse lessons. However, as the year went on my cooperating teacher had the students begin solving two-digit addition and subtraction problems. My classroom is set up for their numeracy portion of the class that they usually start with whole group lesson, then move into small groups to practice the lesson…