The Origin Of Counting: The Birth Of Mathematics?

Improved Essays
Abstract: This paper reveals the birth of mathematics. Representing quantities in some way is considered the first invention of mathematics. We use mathematics every day in one way or another. Sometimes we even use mathematics unconsciously, as in the case of filing a cup of water for cooking. The measure cup is readily available to us and all we have to do is fill it out, but who started this type of measurement? How old is mathematics? Specifically, how old is counting? When was representing quantities thought of? Where did it start? Counting originated based on the needs of societies. For example, a primitive society did not need more than a few numbers to manage their life, while a more advanced society needed more than a few numbers to …show more content…
However, through anthropology and etymology we understand more on origins of counting. There are two possibilities for how counting originated. The first possibility is that counting started spontaneously in different parts of the world. The other possibility is that counting was born once somewhere and then spread to different parts in the world from that source. This thought came from the similarities in counting found in different parts of the world such as India, Egypt, and China (Allen, 2000-03). Some societies designated words or symbols for numbers. For example the Indians of Tamanaca on the Orinoco River used certain words for numbers 0-4. Then used one whole hand for the number 5, a whole hand and a finger from the other hand for 6, and so on; then both hands for 10, and “an Indian” for number 20. In the trading of tobacco sticks for sheep, the tribesmen of the Dammara tribe in Africa from the 19th century used 2 sticks for 1 sheep. However they failed to know that 4 sticks would then equal 2 …show more content…
With today’s technology, we seldom ponder on the history of what we are using and where it came about. There exists valuable artifacts in the world that reveal how ancient societies managed their lives using mathematics without the conveniences we have at the tips of our fingers today. Physical evidences such as notches on bones or stones reflect the knowledge of quantities back then. Many of the notches were engraved in such a way where groupings are apparent. Societies needed a way to manipulate numbers in order to survive. The more complex the society was, the more sophisticated calculation systems they needed. The use of quantities dates back to the beginning of time, more than 35,000 BC. In more recent anthropological and archeological studies, scientists were able to discover more information about numbers associated with words and symbols. Not all societies had words that represented every number, therefore they had to compensate and re-use the few words they had. For example, a tribe that only counted to two used “two-two” to represent 4. Other people developed symbols to represent numbers. Although our ancestors would be rolling in their graves if they see an iPhone today, they are the ones who invented mathematics and empowered our world to be more convenient in terms of mathematical calculations. Ancient societies started the basics of the logic and mathematics, which

Related Documents

  • Superior Essays

    Part B Diagnostic Interview and Tutoring Sessions Permission was granted (Appendix A) to interview and tutor Athena*, who is a 9 year old student in Year 4 who returned to Australia in the middle of Year 3, after living in the United States for 5 years. The Mathematics Assessment Interview (MAI) was conducted on a weekend afternoon at Athena’s home shortly after lunch (Australian Catholic University, 2011b). She did not seem to be nervous and was informed that the purpose of the questions was to help a pre-service teacher learn and develop some effective ways of teaching through the follow up tutoring sessions. Athena began the MAI confidently and could read, write (on the calculator) and order two digit numbers with ease.…

    • 1550 Words
    • 7 Pages
    Superior Essays
  • Superior Essays

    Qlt1 Task 4

    • 1713 Words
    • 7 Pages

    Her responses placed her level of mathematical knowledge as growth point two (Australian Catholic University, 2011), which focuses on two digit numbers. The lessons were planned with a view to progress her to growth point three, three digit numbers (Australian Catholic University).…

    • 1713 Words
    • 7 Pages
    Superior Essays
  • Improved Essays

    Nt1310 Unit 1 Assignment

    • 986 Words
    • 4 Pages

    This essay concludes this assignment and this semesters mathematics module, when first starting the module I felt that my subject knowledge was adequate taking into account that I am out of practise by 4 years. When attending the seminars I quickly realised that I had to revise certain areas of subject knowledge in order to be able to have better practice, and I now have a greater understanding of effective pedagogy. In this essay however I will be discussing the research I have made on how attitudes surrounding mathematics has an impact on how well children perform in a mathematics lesson. There is much written documentation of the complexity of effectively teaching and deliver a good standard mathematics lesson to children one crucial point rasied after studying this was the importance of having a positive attitude around the subject, and the subject matter. Haylock (2007) suggested that the effectiveness of teaching mathematics with an…

    • 986 Words
    • 4 Pages
    Improved Essays
  • Decent Essays

    The definition of mathematics anxiety is is a phenomenon that is often considered when examining students' problems in mathematics. In the article “ Stop Telling Kids You’re Bad At Math” by Petra Bonfert-Taylor it talks about how in today’s society we are giving a bad image of mathematics which is causing children to have anxiety. Studies have shown that students and children tind to get the mathematics anxiety (MA) from teachers mainly, but can get it from parents. “we are passing on from generation to generation the phobia for mathematics and with that are priming our children for mathematical anxiety.…

    • 160 Words
    • 1 Pages
    Decent Essays
  • Improved Essays

    The Joy Of Pi Analysis

    • 1273 Words
    • 6 Pages

    In his book, The Joy of Pi, David Blatner, the author of fifteen books on various subjects, attempts to explain why mathematicians continue to approximate pi to this day. He believes that they continue to do so because it poses a challenge, and it is in human nature to conquer that challenge. He tries to relay this belief to his readers through a number of different methods including, a history of pi, explaining why pi is fascinating, and how pi appears in the natural world. His writing style, text format, book format, and content all excellently cater towards the non-mathematically oriented, but still educated audience. David Blatner’s book, The Joy of Pi, attempts to show the reader, who may not necessarily be a mathematician, why mathematicians…

    • 1273 Words
    • 6 Pages
    Improved Essays
  • Improved Essays

    Mythography Project

    • 515 Words
    • 3 Pages

    “Mythography” Project I use numbers and math for lots of things in my daily life. I use numbers and math for baking, measuring, learning activities, counting, telling time, planning, and scheduling. The first thing I use math and numbers for is baking and washing dishes. I use the numbers on the oven and microwave to set operating cycles. I use the microwave to make delicious noodles, and the oven for baking cookies.…

    • 515 Words
    • 3 Pages
    Improved Essays
  • Decent Essays

    As stated by mathematician Stanislas Dehaene, human beings have an inherent and/or built-in rationalization of numbers or “number sense,” which enables us to do some fundamental calculations and estimates. Unfortunately, the issues begin when we are introduced to mathematics, where we have to follow formulas, methods, and procedures, that are far from innate. According to the article “NUMBERS GUY: Are our brains wired for math?” written by Jim Holt, Mr. Dehaene has spent decades analyzing the outline of our number sense . He is also working to figure out which features of our math capabilities are intrinsic and which are learned. To answer this simple, but incredibly complex question, Mr. Dehaene has traveled across the globe, analyzing the…

    • 221 Words
    • 1 Pages
    Decent Essays
  • Improved Essays

    Ap Math Research Paper

    • 1094 Words
    • 5 Pages

    Known as the father of modern philosophy and the founder of analytic geometry, Descartes was the first to plot equations on a graph. He made curves a less frightening part of mathematics by developing the x-y plane which was officially deemed the Cartesian Coordinate Plane in his honor. After his death in 1649, Descartes’ 106-page essay titled La géométrie which was the first printed account of what we know now as coordinates or analytic geometry (C.H. Edwards). In many books he wrote, Descartes wrote very small alphabets in front of numbers which suggests his use of variables and constants. He also created the use of superscripted numerals to depict the powers of a number or quantity; Descartes occasionally wrote aa for the second power, a2.…

    • 1094 Words
    • 5 Pages
    Improved Essays
  • Improved Essays

    Honors Algebra 2

    • 647 Words
    • 3 Pages

    Some people measure time in days. I measure it in electrons. Another day passes. Commerce starts and halts. People rise and sleep.…

    • 647 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Multiplicative Simulation

    • 327 Words
    • 2 Pages

    The critical stage in children’s understanding of the mathematical rational number and mental and written computation strategies and ‘big ideas’ to reconceptualise their thinking in what is involved in multiplication and division to comprehend the ‘multiplicative situation. (Hurst., 2015).It is important students construct and coordinate the three aspects of multiplicative situations when they are developing multiplicative thinking which is the number of equal groups, the number in each group, and the total amount (Hurst, 2015). When each aspect is abstracted and can be comprehended as a mental object, multiplicative thinking begins to develop. For example, the modelled of equal groups is abstracted when the children can trust the count and…

    • 327 Words
    • 2 Pages
    Improved Essays
  • Decent Essays

    The 6 areas of learning included in the Early Years Foundation Stage are : - Communication and language; Communication is not always verbal, a baby communicate by pointing at objects, making noise, crying, language involves speech and understanding of words used. -Physical development; Developing good motor skills, being healthy, growing up well. - Mathematics. Knowing how to count from 0 to 20, making simple additions and substractions, being in the process of learning about maths, understand the value of 1,2,3,4,5 apples for instance.…

    • 181 Words
    • 1 Pages
    Decent Essays
  • Brilliant Essays

    Appropriately specific brief summary of MCK Test results. It was during week three that I completed the Mathematical Content Knowledge (MCK) test for the purposes of determining my level of understanding relating to certain mathematical concepts, such as multiplication, division, addition, and place value (Curtin, 2014). Before starting, I felt overly confident in my ability to successfully answer all the questions within the quiz, however, it was not until I skimmed through the questions that I began to think otherwise. The beliefs in myself concerning mathematics is one of duality: I know that I am more than capable of solving complex questions, yet I am also conscious of my lacking motivation behind the subject itself which stems from…

    • 1323 Words
    • 6 Pages
    Brilliant Essays
  • Decent Essays

    The Muslims made many advancements that would shape the world into what it is today and also help improve the quality of life during their time period and some of these advancements were in the medical, mathematical, scientific, and communication fields. The Islamic culture had many achievements that were the bases for some of the technology and resources that we use today. Some of their achievements came in the medical field and are mentioned when it says “Rulers wanted qualified physicians treating their ills” (Document 1) which shows why some of these advancements were made. During this time period the average life span was a third of what is today and rulers wanted to be able to be in power longer which meant new ideas in the medical field…

    • 609 Words
    • 3 Pages
    Decent Essays
  • Improved Essays

    Education is a key to every future endeavors and an open door to varieties of personal dreams. Educators, instructors and academic people seek high achievements in education as in for the good of their knowledge. Within the learning field, there are varieties of subjects that are being taught differently and also that include the four main that all education within the U.S enforces; such as English, Mathematical, Science, and History. However, math is appeared to be the hardest and more challenging subject that is being authorized widely.…

    • 1338 Words
    • 6 Pages
    Improved Essays
  • Great Essays

    For the Pythagoreans, abstract ideas are represented by numbers. For example, 4 could…

    • 1559 Words
    • 7 Pages
    Great Essays