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Education system in japan vs american
Japanese education
A strong introduction about the japan educational system
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Jim shrugged back into his long red robe, gave a quick, half-hearted swipe at his flaming mop, which was now even more out of control than usual, and shouldered his way out of the swampy atmosphere of the high school locker room. The soccer game had re-energized his previously smoldering brain cells.
The tedious honors Calculus class that he taught just before lunch was not the highlight of his day. Not that he didn’t like the subject matter, math had always come easy to him, but attempting to convince a group of 11th grade students that the logic of derivatives was actually something that they needed to master in order to survive was another matter. He bantered with students as he made his way through the herd of students aimlessly hurrying to their next classes. He perked up even more as he got closer to his den, the kitchen. Jim was not a vain man, but he was not ashamed of his prowess in the kitchen. He was famous for his brussel sprouts sautéed in balsamic vinegar. Just thinking of the delectable creation made his mouth water.
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He sighed audibly as his mind waffled between the stacks of Calculus problems he still had to grade and the fact that it was a beautiful day, and, with the slight breeze that was blowing, the conditions would be perfect for flying his new kite. Of course, nature won out, and moving efficiently he checked his voicemails, changed out of his robe, the dress code at the Japanese immersion school he was currently employed at, fed a frozen mouse to his pet snake, Slithers, and was out the door and back on the road in less than 15 minutes. He was
point where he told his friends not to mention math at all around him, Blaise
All children learn differently and teachers, especially those who teach mathematics, have to accommodate for all children’s different capacities for learning information. When teaching mathematics, a teacher has to be able to use various methods of presenting the information in order to help the students understand the concepts they are being taught.
Food has been a great part of how he has grown up. He was always interested in how food was prepared. He wanted to learn, even if his mother didn’t want him to be there. “I would enter the kitchen quietly and stand behind her, my chin lodging upon the point of the hip. Peering through...
K. C. Cole pushes this idea by explaining how math applies to every imaginable thing in the universe, and how mathematicians are, in a sense, scientists. She also uses quotes to promote the coolness of math: "Understanding is a lot like sex," states the first line of the book. This rather blunt analogy, as well as the passage that explains how bubbles meet at 120-degree angles, supports Cole's theory that math can be applied to any subject. This approach of looking at commonplace objects and activities in a new way in order to associate them with math makes Cole's comparison of mathematicians with scientists easier to understand. It requires one to look at mathematicians not just as people who know lots of facts and formulas, but rather as curious people who use these formulas to understand the world around them.
The argument in this paper that even though the onus of the discovery of calculus lies with Isaac Newton, the credit goes to Leibniz for the simple fact that he was the one who published his works first. Appending to this is the fact that the calculus wars that ensue was merely and egotistic battle between humans succumbing to their bare primal instincts. To commence, a brief historical explanation must be given about both individuals prior to stating their cases.
Calculus, the mathematical study of change, can be separated into two departments: differential calculus, and integral calculus. Both are concerned with infinite sequences and series to define a limit. In order to produce this study, inventors and innovators throughout history have been present and necessary. The ancient Greeks, Indians, and Enlightenment thinkers developed the basic elements of calculus by forming ideas and theories, but it was not until the late 17th century that the theories and concepts were being specified. Originally called infinitesimal calculus, meaning to create a solution for calculating objects smaller than any feasible measurement previously known through the use of symbolic manipulation of expressions. Generally accepted, Isaac Newton and Gottfried Leibniz were recognized as the two major inventors and innovators of calculus, but the controversy appeared when both wanted sole credit of the invention of calculus. This paper will display the typical reason of why Newton was the inventor of calculus and Leibniz was the innovator, while both contributed an immense amount of knowledge to the system.
A somewhat underused strategy for teaching mathematics is that of guided discovery. With this strategy, the student arrives at an understanding of a new mathematical concept on his or her own. An activity is given in which "students sequentially uncover layers of mathematical information one step at a time and learn new mathematics" (Gerver & Sgroi, 2003). This way, instead of simply being told the procedure for solving a problem, the student can develop the steps mainly on his own with only a little guidance from the teacher.
Class started by the Mrs. Polzin greeting the students with, what Jimmy thought to be, a fake smile and good morning. She sat down at her desk and asked the pupils to take out their show and tell items. Other students had brought their pictures; others had brought caps and sweatshirts from different countries. Jimmy thought, like the others, his show and tell item was the best.
Throughout life I have had many memorable events. The memorable times in my life vary from being the worst times in my life and some being the best, either way they have become milestones that will be remembered forever. The best day of my life was definitely the day that I received my drivers’ license. This day is one of the most memorable because of the feelings I had when I received it, the opportunities that were opened up for me and the long lasting benefits that I received from it that still exist today.
Ever wonder how scientists figure out how long it takes for the radiation from a nuclear weapon to decay? This dilemma can be solved by calculus, which helps determine the rate of decay of the radioactive material. Calculus can aid people in many everyday situations, such as deciding how much fencing is needed to encompass a designated area. Finding how gravity affects certain objects is how calculus aids people who study Physics. Mechanics find calculus useful to determine rates of flow of fluids in a car. Numerous developments in mathematics by Ancient Greeks to Europeans led to the discovery of integral calculus, which is still expanding. The first mathematicians came from Egypt, where they discovered the rule for the volume of a pyramid and approximation of the area of a circle. Later, Greeks made tremendous discoveries. Archimedes extended the method of inscribed and circumscribed figures by means of heuristic, which are rules that are specific to a given problem and can therefore help guide the search. These arguments involved parallel slices of figures and the laws of the lever, the idea of a surface as made up of lines. Finding areas and volumes of figures by using conic section (a circle, point, hyperbola, etc.) and weighing infinitely thin slices of figures, an idea used in integral calculus today was also a discovery of Archimedes. One of Archimedes's major crucial discoveries for integral calculus was a limit that allows the "slices" of a figure to be infinitely thin. Another Greek, Euclid, developed ideas supporting the theory of calculus, but the logic basis was not sustained since infinity and continuity weren't established yet (Boyer 47). His one mistake in finding a definite integral was that it is not found by the sums of an infinite number of points, lines, or surfaces but by the limit of an infinite sequence (Boyer 47). These early discoveries aided Newton and Leibniz in the development of calculus. In the 17th century, people from all over Europe made numerous mathematics discoveries in the integral calculus field. Johannes Kepler "anticipat(ed) results found… in the integral calculus" (Boyer 109) with his summations. For instance, in his Astronomia nova, he formed a summation similar to integral calculus dealing with sine and cosine. F. B. Cavalieri expanded on Johannes Kepler's work on measuring volumes. Also, he "investigate[d] areas under the curve" ("Calculus (mathematics)") with what he called "indivisible magnitudes.
This evaluation has not only allowed me explore calculus more in depth, but also physics, and the way the world works. This has personally allowed me to explore the connections between math and real-world situations, which is hard to find in textbooks.
Differential calculus is a subfield of Calculus that focuses on derivates, which are used to describe rates of change that are not constants. The term ‘differential’ comes from the process known as differentiation, which is the process of finding the derivative of a curve. Differential calculus is a major topic covered in calculus. According to Interactive Mathematics, “We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).” Not only are derivatives used to determine how to maximize or minimize functions, but they are also used in determining how two related variables are changing over time in relation to each other. Eight different differential rules were established in order to assist with finding the derivative of a function. Those rules include chain rule, the differentiation of the sum and difference of equations, the constant rule, the product rule, the quotient rule, and more. In addition to these differential rules, optimization is an application of differential calculus used today to effectively help with efficiency. Also, partial differentiation and implicit differentiation are subgroups of differential calculus that allow derivatives to be taken to more challenging and difficult formulas. The mean value theorem is applied in differential calculus. This rule basically states that there is at least one tangent line that produces the same slope as the slope made by the endpoints found on a closed interval. Differential calculus began to develop due to Sir Isaac Newton’s biggest problem: navigation at sea. Shipwrecks were frequent all due to the captain being unaware of how the Earth, planets, and stars mov...
The abstractions can be anything from strings of numbers to geometric figures to sets of equations. In deriving, for instance, an expression for the change in the surface area of any regular solid as its volume approaches zero, mathematicians have no interest in any correspondence between geometric solids and physical objects in the real world. A central line of investigation in theoretical mathematics is identifying in each field of study a small set of basic ideas and rules from which all other interesting ideas and rules in that field can be logically deduced. Mathematicians are particularly pleased when previously unrelated parts of mathematics are found to be derivable from one another, or from some more general theory. Part of the sense of beauty that many people have perceived in mathematics lies not in finding the greatest richness or complexity but on the contrary, in finding the greatest economy and simplicity of representation and proof.
The sky, mid-afternoon, a beautiful canvas graced with sky blues and pure milky whites. The blue in the depths beyond and the smooth, rounded, sugary sweet clouds in the foreground; February mornings were made to be like this. Stained white wooden porches, green plastic lawn and garden chairs and a yellow butterfly dancing above the steamy urban pavement with an invisible partner to a made up song.
...d a better understanding of differentiation, I have had several of my students tell me that I am the best math teacher they have ever had. They express their happiness by telling me that I teach math in a way they understand. They state, “You do not stand in front of the classroom and explain how to do the problem, give us homework, and move on to the next topic”. I take pride in this. I try very hard to help each of my students understand the necessary standards so when they leave my room, they are able to take a real-world problem and find solutions to them.