IE 456 MATHEMATICAL MODELING AND APPLICATIONS Homework 1 1. [15 points] Consider the following linear programming problem: Min z = 3x12x23x3 Subject to x1+2x2 +x3 14 x1+2x2+4x3 12 x1 x2 +x3 = 2 x3 3 x1; x2 unrestricted (a) [6 points] Reformulate the problem so it is in standard format. (b) [6 points] Reformulate the problem so it is in canonical format. (c) [3 points] Convert the problem into a maximization problem. 2. [20 points] A lathe is used to reduce the diameter of a steel
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2. What are the discoveries of Dr. Maria Montessori ? Dr. Maria Montessori was a keen observer of children. She used her observational and experimental proclivities from her medical background to develop‚ what we might today call‚ a Constructivist understanding of the process of learning. She studied them scientifically. If she saw some unusual behavior in a child‚ she would say‚”I won’t believe it now‚ I shall if it happens again”. She studied the conditions in which the children would perform
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Task 1: Big Foot Part 1 After viewing some background information on the yowie (a short video and newspaper article)‚ we were given the foot length of the yowie (43cm) and asked to find its height from this measurement. We were asked to collect a series of measurements of our body proportions. After some discussion about not getting precise enough approximation for some body proportions‚ specifically the a/b/c finger‚ we decided to only include foot length‚ height and arm span as we thought that
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with reference to the Montessori Philosophy and Method. --------------------------------------------------------------------------------------------------------------------------------------- “We must take into consideration that from birth the child has a power in him. We must not just see the child‚ but God in him. We must respect the laws of creation in him.” Maria Montessori‚ 1935 (1989a‚ p. 98) By Dr. Maria Montessori The Child as Spiritual Embryo For Montessori‚ the Word is made flesh
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1 1. Discuss life and work of Dr. Maria Montessori and why is she referred to as a lady much ahead of her time? * Dr. Maria Montessori was born in Italy in 1870. Most of her life was spent in Rome. Her father Ale jandro was an accountant in government services. Her mother‚ Renilde ‚ had good education for a woman of her time and was more open to the many transformations that affected daily life at the end of the 19th Century. Maria Montessori‚ an only child‚ she was a vivacious‚ strong-willed
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Montessori philosophy interprets “discipline” (Montessori‚1988) and “obedience” (Montessori‚ 1988) in a different way than any other philosophy does. This essay intends to discuss and define those two important factors in detail and explains the difference between them.” Discipline” and “obedience” can only be discussed in combination with freedom in a prepared environment. Freedom not only allows the child to progress in his/her own pace‚ it also fosters the child’s emerging inner discipline. However
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Montessori Practical Life Overview - Scope and Sequence Important Periods of Childhood Development Most children are passionately interested in practical life activities because the activities respond to all the sensitive periods (important periods of childhood development). Practical life activities build a foundation on which the children will grow and carry over into the other areas of the classroom‚ and over in to their every day life. The Montessori Practical Life exercises respond to the
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Sensorial education begins the mionte a baby is born. He receives impressions through his senses. Mria Montessori believed that there was nothing in the intellect that did not first exist in the senses and the first of the childs organs that begin to function are the senses. During the forst thress years of a child life all the impressions received from the childs environment are stored in the unconscious memeory‚ The “mneme” A young child receives and perceives everything‚ both positive and negative
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of The Teacher By Clare Walker Introduction The following essay should describe the Role of a Teacher within the specially Prepared Environment as defined by Maria Montessori in her years of observation. In a Montessori School‚ the word Teacher is not used as Directress is used instead. In her writings‚ Maria Montessori used the word “Direttoressa” taken from the Italian word “direttore” which when looking into the meaning of the word is less about telling people what to do but more about
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Explain in your own words the following: A. FREEDOM IN A PREPARED ENVIRONMENT B. THE SENSITIVE PERIODS C. NORMALISATION D. ABSORBENT MIND A) FREEDOM IN A PREPARED ENVIRONMENT All over the world in constitutions of countries freedom is enshrined. This freedom applies not only to the adult but also to the child. For it is in freedom that a child reveals himself. Therefore a directress in a prepared environment must have the opportunity to observe the child in a free and open
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