Mathematics

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    Peter Trapa Biography

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    Trapa. Dr. Trapa is the Professor and Chair of the Department of Mathematics at the University of Utah, he is passionate about the world of mathematics and education. Dr. Trapa’s advice and dedication for student success here at the University of Utah reminded me how education is important. Dr. Trapa grew up in the Seattle area with a love for math. He graduated high school at the age of 14, later earning his doctorate in mathematics at the age of 23. After doing his postdoctoral fellowship at…

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    The reforms in mathematics education require teachers to teach in ways that many of them did not experience when learning mathematics in school or learning how to teach mathematics during their teacher preparation programs. The reform methods for teaching mathematics emphasize teaching mathematics for understanding rather than having students memorize rules or just use given procedures to solve tasks. Additionally, these instructional methods stress the use of open-ended tasks and real life…

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    beliefs is essential within the bounds of our respective fields as we often fail to recognize the underlying philosophical natures in the disciplines to which we devote the most time. Therefore, I have sought to develop my own Christian philosophy of mathematics by defining math, analyzing what can be learned about God from math, and discussing why there is no fundamental issue behind Christians using secular math textbooks. Math is much more…

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    To enter science, technology, engineering and mathematics (STEM) high schools, students must acquire the desire and foundational skills for success in science at an early age. Science instruction is often overlooked in elementary school. Reasons include an overemphasis on literacy and mathematics due to standards-based testing and teachers’ lack of professional development in teaching science. This literature review employed a case study design to examine the impact and the current standings…

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    forces of life both practical and theoretical, and Ptolemy helped the Greeks with some progress of the universe around them. Since this was a long period of time ago they didn't have the intelligence advancement as we do now, so with the help of mathematics, science, and astronomy, Ptolemy helped try to explain what the Greeks couldn't. Astronomy became important to the Greeks because Ptolemy taught the Greeks how they can use astronomy to answer their questions. Ptolemy came up with theories…

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    When it comes to the subject of mathematics, the challenge in teaching kids not only lies within learning the concepts, but also in learning the vocabulary of mathematics which describe these concepts. Mathematics incorporates theory and formula in order to produce answers. It is these answers that have agreed upon labels in the form of vocabulary. When students begin the process of learning mathematics through formulas, it is imperative that they begin learning the vocabulary necessary to…

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    A German Jewish mathematician, known for her contributions to abstract algebra and theoretical physics, Amalie Emmy Noether was described by many other famous mathematic theorists as the most important woman in the history of mathematics. An article on Applied Mathematics gives a brief insight into the importance of her work: Emmy Noether was one of the most brilliant and important mathematicians of the 20th century. She altered the course of modern physics. Einstein called her a genius. Yet…

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    Behaviorism Theory Essay

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    As identified by Anghileri (2006) the way mathematics has been taught to children over the years has changed to better prepare them for the future. In the past, as stated by Charlesworth et at.(2013) mathematics has focused on memorisation and drills in an isolated environment, often creating a negative stigma towards the subject. At present the current focus on teaching mathematics concentrates on acknowledging that learning is acquired by students constructing on previous experiences as they…

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    Procedural Fluency Paper

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    comprises five interwoven strands consisting of conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition. To assist educators, NCTM provided an explanation in Principles and Standards for School Mathematics (2000) that suggested students will reach specific levels of conceptual understanding and procedural fluency each year (p. 7) rather than every topic every year. The aim of this paper is to provide research on the process of developing…

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    rarely mention enjoying the homework or classes, and even the process of learn-ing isn’t as interesting anymore. And dolefully, for most students, inclusively myself, the math-ematics courses are the main problem. The impressively wide range of mathematics classes in the average American high school can lead to confusion and frustration for the students. In some foreign countries, mainly in Europe, the schools have one single math class, explaining and shortly introducing almost every basic…

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