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    Pedagogical Case Studies

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    entry-level mathematics students often encounter difficulties in understanding magnitudes of large numbers. I shall begin my case study from some experiments that how accurately the children could estimate the numbers magnitudes by various aspects of a stimulus. Thus far, my research has followed two lines of inquiry. The first line of study is to identify children’s different understanding levels for number magnitudes and to accurately estimate numbers7. Specifically I am interested in…

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    2014 pp. 90 identifies that a major cause of student’s difficulties in mathematics has been how they understand and process numbers. The teacher then writes on the board 723- 246. The class is asked to copy and complete the above exercise in their books. The teacher then asked a student the answer. The student says “four hundred and seventy-seven”. The teacher interrupts the student:…

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    360 was used for circles The Sumerians also gave us the decimal system. The Hindu’s gave us the Arabic Numeral System which gave mankind counting numbers. With the extension of numbers, math took off. The Hebrew’s gave us another numeral system but this one went into the hundreds. The Babylonians gave us the digit 0 and then we had a a completed number system for that time. Agriculture was a ginormous element when civilization was first coming together and it has stuck with humans all through…

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    Leibniz's Number System

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    Computers have all but replaced humans for doing complex calculations. But computers handle numbers much differently than humans do. At this point, the majority of people use base-10 for their math. The base of a number system refers to the number of number symbols used in that system. In base 10 the numbers used are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Humans use this system because it shortens numbers. Humans have 10 fingers so it is logical that base-10 counting systems developed naturally. But…

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    student will start to develop their place value knowledge once they are confident using number names, classifying objects, identifying patterns and as they begin to develop their counting skills. From Year 1, the Australian Curriculum expects students to count collections to 100 by partitioning numbers using place value (ACARA, 2016). This means students need to learn about grouping in tens and that two-digit numbers are made up of tens and ones. Booker, Bond, Barrow and Swan (2014, p. 87)…

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    Voronoi Patterns

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    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…

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    the list goes on. I had a notebook in the third grade in which I would write numbers from one and beyond. Unfortunately that list was never finished; the fact that one could begin to write numbers from the day they were born to the day they would die and would not even be close to infinity is both scary and fascinating to me. This blew my eight year old mind. It sparked this passion in me to expand my knowledge of numbers, how they work and why they worked. Now I’m engaged in Calculus trying to…

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    and needs. This would in turn trigger the technology development in the target market to adapt to the change. If a company could manage to take this opportunity, then it is rated high with a positive number under “Technology” of “Opportunity and Threat”. Otherwise, it would be rated with a negative number as a threat to the company. Demand in Strength and Weakness refers to the stability of customer source. If a company has quite stable large customers in each year, then it is rated high in…

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    Numeracy In Schools

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    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…

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    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…

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