# Positional notation

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Throughout recent years, extensive research has been conducted into the best ways to introduce decimals to students in the younger and lower levels of their education. It has become more than evident that there are many ways to teach decimals to young children, as well as conflicting views on good and bad ways to go about this. For young people decimals can be a scary topic to tackle so going about this can be tricky at times. Decimals and denominators have been listed as the “demons of misunderstanding, confusion and fear.” (Sparrow and Swan, 2005.) None the less they are an important area of mathematics and need to be taken seriously. Like when teaching any subject a teacher must know their students abilities and ways in which each student learns and needs to be flexible in the way in which they teach this area. Throughout this essay, different suggested methods of how to teach decimals in the classroom will be highlighted and have the positives and negatives noted about the particular method as well as which type of learner each method would best suit, auditory, kinesthetic or visual. One of the most controversial ways to teach decimals to young people is to use a calculator. By using a calculator you “move beyond procedural teaching” to a more conceptive form of teaching and learning method in the classroom. Sparrow and Swan believe that the calculator adds another dimension into the teaching of decimals and that it is a “powerful teaching aid.” By using a calculator…

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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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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…

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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 students’ memory skills and providing a clear path way to understanding the fraction mathematical concepts (Lambert, 2003). Decimals The big idea of decimal is that the system of decimal numbers is an extension of the whole-number system. Decimal numbers are one way of representing fractions, ratios and…

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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…

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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…

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This classical music recital on September 24, 2015, in Duncan Recital Hall at Baird Musical Hall stars many of Morehead State University’s musical professors. The compositions it features are Donald Gillis’s They’re Off, Béla Bartók’s Quarrel, W.A. Mozart’s La ci darem la mano (Don Giovanni), Heitor Villa-Lobos’s Fantasie Concertante for Piano, Clarinet, and Bassoon, Michel Blavet’s Variations on a Theme by Corelli, John Macky’s Damn, and Ryan Mcguillicuddy’s On The Bus. In Donald Gillis’s…

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little else is available to shed light on the subject. Minamino explains how the majority of music performed by beggar musicians was never recorded onto paper, but instead simply memorized and changed/improvised as needed. Notated music may have not been practical anyway, according to Minamino’s assertion that beggar musicians were not formally trained in the art. Professional musicians, those of higher status and means, were able to study at the university, whereas beggar musicians were more…

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I would like you to take a minute to think about one of the most important things in your life, personally it would be my family and friends, but some people might agree with me when I say that music plays a huge part in our lives. For as long as humans have been around there has been some form of music made by these people, it’s safe to assume that even the first human beings had some form of music that they created and performed. Music can easily be compared to stories that have been passed…

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Business suit, waistcoat, black trousers and bow tie. Double check the time. Last preparation with a pocket square, check the tickets, and order the cab. David Geffen Hall at Lincoln center to experience New York Philharmonic. Thursday, April 7 by half past seven all classical music lovers in a hurry toward to classical music concert of Beethoven and Strauss. The audience is exciting about this evening, and it is foreseeing, program for today is big. It includes Strauss “Oboe Concerto” and…

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