Students Mathematical Errors

Misconceptions and errors are common in mathematics. Teachers can find it hard to deal with a misconception because it arises when a student misinterprets or misapplies an existing mathematical idea. This is a critical challenge especially when the teacher fails to promote the best learning activities and interactions in the classroom.Advertising We will write a custom essay sample on Student’s Mathematical Errors specifically for you for only $16.05 $11/page Learn More Teachers should understand that a learner is an active participant in the construction of new mathematical ideas and knowledge. A misconception occurs when a student uses an extant idea in the wrong manner. For example, a student may always expect to get a â€Å"larger† number after multiplying two whole numbers. A misconception can occur when a learner uses the above idea to multiply two fractions or decimals. This scenario explains why teachers should use the best instruct ional activities. The approach can help teachers deal with errors and misconceptions. There is a strong relationship between student and teacher misconceptions and instructional activities. Teachers should use the best ideas to identify misconceptions and errors in the classroom. Every teacher should provide the best support to his or her students. It is the teachers’ duty to use the best instructions whenever there is a misconception or an error. The strategy will help the teacher to address such an error or misconception. The example below explains how errors and misconceptions occur in the classroom. A seventh grade teacher observed that several students made this error: (-5) x (-6) = -30 Several misconceptions can cause this mathematical error. As mentioned earlier, misconceptions occur when a student constructs new mathematical knowledge through interaction or perception. This situation occurs when the learner decided to apply an â€Å"extant† to a mathematical pr oblem. To begin with, the students might have used the idea that the multiplication of two numbers will give a â€Å"positive number†. This explains why the students obtained a negative number after multiplying (-5) by (-6).Advertising Looking for essay on math statistics? Let's see if we can help you! Get your first paper with 15% OFF Learn More The other possible misconception is the use of â€Å"BODMAS†. This misconception might have occurred after the students applied the algorithm for multiplying â€Å"brackets† to the question. The other possible cause of this misconception is lack of proper â€Å"instructions†. Several things must have led to this error. The teacher might have adopted the wrong approach during the initial instruction. This explains why the students were unable to avoid this â€Å"error†. Learners accommodate new concepts within their existing mental knowledge or framework. The teacher failed to intervene in or der to ensure the learners’ conception was within the â€Å"intended instruction†. The teacher might have given improper examples to the learners. As a result, the teacher was unable to identify this error from the beginning. Teachers should understand that take time before accommodating new ideas. Several ways of teaching the multiplication of â€Å"signed† numbers can help the learners avoid these misconceptions. The teacher should begin by identifying the students’ existing knowledge. The teacher will easily identify how the learners multiply whole numbers. The teacher should go ahead and show the learners how to multiply â€Å"signed† numbers. It is also important for the teacher to provide numerous examples. An interactive approach will also help the teacher to identify any misconception. The teacher will then address the misconception accordingly. Teachers should also resolve any â€Å"cognitive conflict† in order to have an effective learning. Tutors should also use extensive discussions and examples. The approach will challenge and â€Å"ameliorate† any misconception in the learning environment. This essay on Student’s Mathematical Errors was written and submitted by user Landon Bowers to help you with your own studies. You are free to use it for research and reference purposes in order to write your own paper; however, you must cite it accordingly. You can donate your paper here.

Use Spanish Words for Pets to Become Fluent

Use Spanish Words for Pets to Become Fluent If you are looking for someone to talk in  Spanish with, how about talking directly to your pet? Learning Spanish can be easy with ongoing practice - even with your pet dog or cat. There are benefits of talking to an animal over a human. You will not get any nasty corrections, and you will  get a chance to practice talking without any interruptions. Plus, even when you make a mistake, your  pet will still be there unconditionally throughout your Spanish-language learning journey. Learn how to say phrases referring to pets in Spanish. Phrases Referring to Pets in Spanish Note that a pet in Spanish can be referred to as una mascota,  the same word used for a mascot, such as an animal symbolizing a team. The term un  animal domà ©stico  and the adjective domà ©stico can also be used to mean pet as an adjective, as in un perro domà ©stico, a pet dog. Additionally, the phrase  un animal de compaà ±Ãƒ ­a  and the phrase de compaà ±Ãƒ ­a can be appended to an animals name to indicate it is a pet. Remember that most of the time the genders given below for animals remain the same, whether the particular animal is male or female. Canary: el canarioCat: el gatoPopular cat types include:el bobtailel gato de pelo largo (long-hair)el gato persa (Persian)el gato de pelo corto (short-hair)el gato siamà ©s (Siamese)Chinchilla: la chinchillaCockatoo: la cacatà ºaDog: el perroPopular dog breeds include:el dogo argentino  (Argentine dog)el terrierel perro San Bernardo (St. Bernard)el caniche (poodle)el xoloitzcuintle (Mexican hairless)el mastà ­n (mastiff)el perro esquimal (husky)el gran danà ©s (great Dane)el galgo/la galga (greyhound)el dlmata (Dalmatian)el perro salchicha (dachshund)el collieel bulldogel bà ³xer (boxer)el sabueso (bloodhound or beagle)el basset (basset hound)un chucho  is a muttFish: el pez. A tropical fish is un pez tropicalFrog: la ranaGerbil: el jerbo, el gerboGuinea pig: la cobayaHamster: el hmster (usually pronounced as jmster; plural can include either versions  hmsters or hmsteres)Horse: el caballoIguana: la iguanaLizard: el lagarto, la lagartijaMouse: el ratà ³nParakeet: el peric oParrot: el papagayo, el loro ï » ¿Rabbit: el conejoRat: la rataSalamander: la salamandraSnake: la serpienteSpider: la araà ±aTortoise, Turtle: la tortuga Talk to Your Pet in Spanish After discovering what to call your pet in Spanish, you can progress to learning the  animal sounds  your pets might make, just in case they do make some noises or otherwise talk back to you while you are speaking to them in Spanish.

Andy Warhol Research Paper Example | Topics and Well Written Essays - 1000 words - 1

Andy Warhol - Research Paper Example Brief Biographical Profile Andy Warhol has been regarded as a pop artist and cultural icon of the 20th century (The Andy Warhol Foundation for the Visual Arts). Born on the 6th of August, 1928 in Oakland, Pittsburgh, Pennsylvania, Andy’s full name was actually Andrew Warhola. He was the youngest of three children and was diagnosed of being afflicted with a rare neurological disorder (The Andy Warhol Foundation for the Visual Arts par. 3). The disorder provided the impetus for Andy’s orientation to DC comic books and the celebrity magazines that proliferate during his time. He pursued a degree in Pictorial Design from the Carnegie Institute of Technology and graduated in 1949 (The Andy Warhol Foundation for the Visual Arts par. 3). His official website revealed that â€Å"building on the emerging movement of Pop Art, wherein artists used everyday consumer objects as subjects, Warhol started painting readily found, mass-produced objects, drawing on his extensive advertising background† (The Andy Warhol Foundation for the Visual Arts par. 5). In Open Culture, it was disclosed that Warhol decided to abruptly quit painting and delve into both music and film making. In this regard, the essay aims to describe contents and aesthetics of the Andy Warhol's work, particularly focusing on the controversial â€Å"anti-films†: Sleep, Eat and Kiss, with the ultimate objective of responding to the question :"why it is art?". Sleep As the title depicts, Warhol’s first film, Sleep, shot a man in deep slumber with the shot taken from different views, initially from the foot as the person taking the film with only the face in clear perspective.

Expansion of The Federal Governments Power Essay

Expansion of The Federal Governments Power - Essay Example If the federal government is not powerful enough, then conflicts are expected between the federal and state governments. In order for the country to stay united, it is important for the federal government to be more powerful. These are the cases that occurred in the early 1800 during the expansion of the federal government’s power:In Marbury v. Madison (1803), which is one of the landmark cases, it was decided that if the congress violates a law of the constitution, the Supreme Court could go against it (Lively and Weaver). In the national bank case McCulloch v. Maryland (1819) (Hall and Patrick) the court ordered that the establishment of a national bank would be acceptable by the interstate commerce clause. In Martin v. Hunter's Lessee (1816) and Cohens v. Virginia (1821), it was announced that appeals submitted by state courts can be heard by the Supreme Court (White). The superiority of the federal government over state laws was confirmed in McCulloch and Barron v. Baltimo re in 1833 (Drakeman)The author states that the major issues that occurred in the expansion of the federal government were as briefly discussed above it is proven through these cases that every time there is a significant issue the government has to go an extra mile and it has to use its power in order to resolve it.Establishment of a federal commission under the President Obama to fight against sexual assault is taking the time for the implementation as the number of victims is very high, and most of the schools have failed.

Tuition Fees in United States Essay Example for Free

Tuition Fees in United States Essay Introduction In their best-seller book, Rich Dad Poor Dad, Robert T. Kiyosaki and his co-author Susan L. Lechter encourage people to grow their assets instead of liabilities. In other words, they suggest that we, anyone who wants to be rich, should not spend our money in any way that is no relation with assets creation. While some parts of capitalism idea are true in assets creation, Robert gives hints what to invest in today ever changing market situation. They say that knowledge is the important thing everyone should invest to succeed as his â€Å"Rich Dad† told me when he was a teenager. Knowledge does not mean that we pursue doctorate degree; instead, he suggests that we keep our eyes, ear, and other senses to any changes that we encounter everyday. In this manner, we could obtain knowledge from books, chat with a friend, magazines, pages on the Internet, and even from a barking dog. In compliance with the importance of having appropriate knowledge, in this paper we discuss the increasing number of international students who pursue their study into graduate schools and college in the U.S. To be specific, this paper discusses why international students pay more tuition fee than the U.S. citizen. Aims and Objectives Concerning the discussion of discrepancy of tuition fee between U.S. citizen and international students, this paper will discuss three aims and objectives as following: This paper intends to discuss why many international students eagerly pursue their college and graduate degree in the U.S Using the non-participant observation method, collecting data and analyzing qualitative information from journal, books, magazine and other online materials, this paper aims at discussion factors-factors that cause the tuition fee for international students are larger than the U.S. counterparts. In addition, the paper aims at highlighting the benefits that international student would obtain when they have U.S college or universities degree Attractiveness of U.S Education Institution According to Riley (2008), about 500,000 students coming from various countries in the world pursue their degree in the U.S. universities and college. There are many driving factors that encourage international students to go to the Uncle Sam land instead of to other universities in other part of the world like Europe and Japan. Currently, there are about 4,000 public and private colleges, universities, and community colleges in the U.S. This number includes more than 600 public four-year college and more than 1,650 private four-year colleges and universities (Riley, 2008). According to Riley (2008), the reason behind the increasing number of international students into U.S. education institutions is because they provide very high quality of education standards. This long-time quality is built by a strong partnership between students and their families, the federal government, individual philanthropists, and the states has created sustainable and recognized model of educational standard in the U.S. Since the quality of education can be better if they are challenged with cultural diversity, U.S. educational institution also race for attracting more international students to pursue their study in the U.S in order to create high quality experience and enrich the diversity of the universities. Figure 1  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   Top Universities in the World Source: Paked, 2006   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   Another factor that encourages international students to pursue their graduate in the U.S is because many times U.S. universities and college are listed as the best universities in the world. This fact becomes the main basis for students since the pride of having U.S. graduates is valuable and saleable when they return to their home countries and chase for new attractive jobs and positions. High Tuition Fee for International Students One interesting fact behind the increasing number of non-resident (international) student that comes into the U.S. to obtain a degree is the difference amount of tuition fees that they should pay to a university compared to those of U.S. residents. For example, in the Idaho State University, students from the U.S. (residents) only pay $2,580.00 per semester. Meanwhile, other students coming from outside the U.S. (Non-residents) would pay about triple than those of the residents, about $6,922.00 per semester. Figure 2  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   UCLA Tuition Fees for Resident and Non-Residents (International) Students Source: http://www.registrar.ucla.edu/fees/gradfee.htm   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   Another example of the discrepancy of tuition fee for U.S residents and Non U.S. residents is on the University of California Los Angeles (UCLA) that charge U.S. residents about $8,967 and $23,955 for U.S. residents (Figure 2).   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   Similarly, the fee for international students at University of California Berkeley is also higher than those of U.S. residents. At UC Berkeley, the tuition fee for U.S. resident is about $4,190.75 per semester. Meanwhile the tuition fee for non-U.S resident is $14,000.75, representing three times higher than the U.S. resident. Figure 3  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   UC Berkeley Tuition Fees for Resident and Non-Residents Students Source: http://registrar.berkeley.edu/Registration/feesched.html Reasons of High Tuition Fee for International Students There are many reasons underlies the decision to charge international or non U.S. resident a much higher tuition fee. They are as following Tax Subsidy According to Idaho State University (2008), the one-third tuition fee for U.S. residents can occurs since two-third of the tuition fee is paid by tax subsidy. By definition, tax subsidy refers to any kind of subsidy that recipients or students in case of tuition fee receive the benefits according to the tax system in the U.S. The origin of tax subsidy is from consumption tax, profit tax, or income tax. Law of Demand According to Open Doors, an organization that focuses on organizing and monitoring the promotion of US educations to foreign students, the number of international students enrolled in United States higher education institution decreases notable during the last 3 years. The last available data however, was regarding the number of international students enrolling in US universities in the academic year of 2003/2004, which is 2.4% lower than the previous year. The decrease in said to be caused by a variety of reasons, some of them are: Difficulties in obtaining student visas Rising of US tuition costs Vigorous recruitment activities by other English-speaking nations (International Students, 2004) This paper is dedicated to discuss the second cause, which is the rising tuition cost in United States. It has been a common knowledge that international students in United States pay two to three times tuition fees as much as those paid by US students. Thus, a considerable portion of these international students rely on grants and loans from US government or other foundations. Others rely on personal loans. The center of attention of this paper is in the persisted increase in the cost of tuition for foreign students due to inflation and decreased percentage of study cost covered by government and other grants. This continuous increase in study costs for international students raise questions on the necessity of charging such a higher tuition fees on international students compare to local students. Economic Matters The study tuition and fees in United States varies from $ 5,000 to $30,000. This does not include the cost of living which is quite high, particularly in areas around Washington, California and New York. For the particular Asian students, the cost of living varies from $ 4,000 to $ 9,000, assuming that the students will live in share apartments, live out of the campus and have less telephone bill other expenses than US students. Students receiving any type of help like TA/RA/Fellowship of GA do not need to worry about costs, but student lacks of those aids must come prepared for the considerable amount of tuition fees and living costs (Spencer, 2005). In 2005, the average cost of tuition rose to $ 5,491, which is a 7% increase from previous year. Including the costs of room and board, the average annual cost of attendance is basically increased to $12,127. Furthermore, if the costs of books, transportation and additional fees are added, the average costs become more than $15,000 nationwide. In some universities, like the University of Miami, the tuition fee alone is $35,000 per semester, with boarding, books and additional costs included, the total costs of education in the University for foreign students is approximately $ 50,000 per semester. These continuing trends of tuition fees enhancement are not without notable effects. The cuts in tuition aids programs along with increased tuition fees have put many low-income students out of college. There are even more notable phenomena where foreign students perform sexually-oriented work to pay for their tuition fees in US (The Chronicle of Higher Education, 2008). Attentive Support Just like a service company, the more benefits a customer obtain, the more expensive the price might be. This condition is also true for U.S. universities since about one-third of students (about 1.2 million students) that choose to take study abroad will land in the U. S. The reasons are because U.S. universities provide better services to their students including the Leading Technology to fast track of the student success in the future (Hyperstudy, 2007). Another reason is because education in America represents a high value in most of home-country students. This situation is somewhat similar to branded and non-branded clothing, which means that as branded universities, they charge higher tuition fees for international students (Hyperstudy, 2007). Conclusions This paper elaborates the increasing number of international students who pursue their study into graduate schools and college in the U.S. To be specific, this paper is to answer the follow why international students pay more tuition fee than the U.S. citizen. According to the analysis, the reasons behind this issue is because there are many incentives and benefits that international student may obtain from attending school in the U.S. Reference: Gorski, Paul. (2001). Multicultural Education and the Digital Divide. McGraw Hill. Retrieved April 2, 2008 from http://www.mhhe.com/socscience/education/multi/philosophy/4divide.html Hyperstudy. (2007). Study Abroad in America. Retrieved April 3, 2008 from http://www.hyperstudy.com/study-in-usa/study-guide/why-study-in-america.php Idaho State University. (2008). Non-Resident Tuition Fee Waiver. Retrieved April 4, 2008 from http://www.isu.edu/iso/feewaiver.shtml International Student Enrollment declined by 2.4% in 2003/04. 2004. Network. Retrieved April 1, 2008 from opendoors.iienetwork.org/?p=50137 Kiyosaki, Robert T., and Susan L. Lechter. (1997). Rich Dad Poor Dad. Paked. (2006). World University /College Rankings. Retrieved April 3, 2008 from http://www.paked.net/higher_education/rankings/times_rankings_2004.htm Riley, Richard W. (2008). The US college/university experience: An opportunity worth exploring. Retrieved April 3, 2008 from http://www.paked.net/higher_education/rankings/times_rankings_2004.htm Spencer, Naomi. (2005). University students in US face higher tuition and loan debt. Retrieved April 1, 2008 from http://www.wsws.org/articles/2005/aug2005/tuit-a03.shtml . (2005). US colleges and universities increase tuition again. Retrieved April 1, 2008 from http://www.wsws.org/articles/2005/oct2005/tuit-o27.shtml Study in the USA. Understanding American Education. Retrieved April 3, 2008 from http://www.studyusa.com/articles/understanding.asp The Chronicle of Higher Education. (2008). French Students Increasingly Become Prostitutes to Pay Tuition, 2 Books Suggest. Retrieved April 1, 2008 from http://chronicle.com/news/article/3780/french-students-increasingly-become-prostitutes-to-pay-tuition-2-books-suggest

Aluminum Essay -- Elements Natural Resources Science Essays

Aluminum Hello buddy! How is the weather in Paris? It is extremely cold in New York and there is snow all over the place. The reason I am writing is to give you the information you wanted on aluminum. I have everything you would possibly want to know about everything from mining to recycling, but I will begin with a little background on the element first. Aluminum is the third most abundant element in the Earth's crust and was probably formed during the birth of our solar system through collisions of hydrogen atoms under intense heat and pressure. Aluminum never occurs as a metal in nature and is only found in the form of its compounds, such as alumina, because of its strong affinity with oxygen. It is this special bond for oxygen that explains why it withstood all attempts to prepare it in its elemental form until well into the nineteenth century. The aluminum industry was founded in 1854, but it was not until the late 1880's that a method was found to bring down the prices and permit aluminum to be used in a wide variety of ways. Most of the aluminum in the world today is made from Bauxite. It was first discovered in 1821 near Les Baux, France. It was formed by the weathering of aluminous rocks such as feldspar, nepheline, and clays. During the weathering, these rocks are decomposed and leached out, leaving behind a residue of ore rich in alumina, iron oxide, and silica. Most of these large Bauxite deposits are found in the tropical and the subtropical climates, where heavy rainfall, warm temperatures, and good drainage combine to encourage the weathering process. Because Bauxite is usually found near the surface, it is mined by open-pit methods. After the extraction of the Bauxite, it must be converted to A... ...dditional information, you could get in touch with the Reynolds Aluminum Recycling Company of America for tips to construct your program. Lorin Industries could also help since they are the worlds largest job shop anodizer of aluminum. As for myself, I could just call any of my references that I leave on the bottom of this letter if I need any additional information. Take care pal and I will see you very soon. References 1. Altenpohl, D. G., Aluminum Viewed from Within, (1981). 2. Ammen, C. W., Casting Aluminum, (1985). 3. Bakker, M., Encyclopedia of Packaging Technology, (1986). 4. Burkin, R. R. Production of Aluminum and Alumina, (1987). 5. King, F., Aluminum and its Alloys, (1987). 6. Pampillo, C. And Biloni, H., Aluminum Transformation Technology and Applications, (1980). 7. Peck, M. J., ed., World Aluminum Industry in a Changing Era, (1988).

My favorite quotation of St. Augustine

â€Å"The world is a book and those who do not travel read only one page. † ? Augustine of Hippo. This was my favourite quotation of St. Augustine, through my high school years we are taught about his life, journeys and teachings. I have live a Augustinian life, being a follower of Christ he is the one behind all of my success and failures. I may not be one of the best students from my batch but at least once I have proven that I give my best. Yes, I have proven myself and before that happens I almost failed, lost hope and even give up but courage to prove myself become my persuasion for not giving up to achieve all the success in education and in life. A teacher told me about inventing or improving a scientific investigatory project, which me and my group mates once studied and improve. While doing this we struggle searching for parts and materials we need to complete our product. It’s almost two weeks before the deadline but there is still a part of our project missing. We almost lost our hope submitting our project but yet my classmate broke her calculator and we’ve found the exact material that we need to complete this project. After inserting the material needed, finally it worked. Then, we have a week to finish the paper and ask some people to react about our said project. Some questioned it and some thought that it was amazing and good because we can lessen the use of electricity and benefit the solar heat from the sun. On the day of the submission we have to face our teacher and defend our product made, who would thought that we’ve got the highest grade among the class and have the chance to compete in the congress? We never did, it was one of the successful moments for me in my secondary level. In the science congress, we tried our best to win, impress the judges and encourage the audience to see our product and vote for it. Our competitors also has cool, different and creative inventions or innovations. Though we never succeeded on to win the science congress, I still felt happiness and contented just by submitting our project and getting those grades. This is one achievement, I think I had not because I’ve got a high grade, but because I have work on it hard and make everything in it creative and different. I want to achieve more, and I think by entering the University this institution will help me gain more achievement and train me more to become creative. I could tell also that it is not just pure creativity that we need in order to finish one project, it could also be team work. Life could be a tough road to travel through but if we don’t face the tough road we can never extend our talent and creativity. Our day to day experience is a daily lesson we must understand. We may give up but we can never achieve success if we easily loose hope.