Thursday, November 28, 2019
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 Studentââ¬â¢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 ââ¬Å"largerâ⬠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 teachersââ¬â¢ 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 ââ¬Å"extantâ⬠to a mathematical pr oblem. To begin with, the students might have used the idea that the multiplication of two numbers will give a ââ¬Å"positive numberâ⬠. 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 ââ¬Å"BODMASâ⬠. This misconception might have occurred after the students applied the algorithm for multiplying ââ¬Å"bracketsâ⬠to the question. The other possible cause of this misconception is lack of proper ââ¬Å"instructionsâ⬠. 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 ââ¬Å"errorâ⬠. Learners accommodate new concepts within their existing mental knowledge or framework. The teacher failed to intervene in or der to ensure the learnersââ¬â¢ conception was within the ââ¬Å"intended instructionâ⬠. 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 ââ¬Å"signedâ⬠numbers can help the learners avoid these misconceptions. The teacher should begin by identifying the studentsââ¬â¢ 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 ââ¬Å"signedâ⬠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 ââ¬Å"cognitive conflictâ⬠in order to have an effective learning. Tutors should also use extensive discussions and examples. The approach will challenge and ââ¬Å"ameliorateâ⬠any misconception in the learning environment. This essay on Studentââ¬â¢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.
Sunday, November 24, 2019
Pondwater paper Essays
Pondwater paper Essays Pondwater paper Essay Pondwater paper Essay 1995. Open Water. Pond Life. New York, Golden Books, 18 http:// www. brighthub. com/environment/science-environmental/articles/61550. aspx http:// www. thewildclassroom. com/biomes/FRESHWATER. html
Thursday, November 21, 2019
International marketing environment Essay Example | Topics and Well Written Essays - 1000 words
International marketing environment - Essay Example Thus, governments play a highly influential role in promoting, restricting and regulating import and export of the goods. In a way, government interventions cause a tremendous impact on the firms marketing the goods internationally (Vorton, 2010). Further, governmentââ¬â¢s role is crucial in formulating trade policies, negotiating trade agreements with other countries and preparing an environment that helps promote multilateral trade among the countries. For example, the Office of the US Trade Representative, a body under the US government, is fully responsible to develop trade related policies with the other countries. The office works as the presidents spokesperson, chief trade advisor, and finally as a negotiator with trade organizations of the other countries. It is pertinent to note here that the US has entered into free trade agreements with a total of 19 countries. The North American Free Trade Agreements (NAFTA) with Mexico and Canada is considered one of the largest of all the free trade agreements to promote bilateral trade among the member countries (NAFTA, 2012). Economic factor is quite important and critical as environmental uncontrollable while going for international marketing operations. Markets differ worldwide significantly in their growth prospects, size and the current GDPs. Some of them are developed, while many are in the developing stages and therefore, they differ widely in terms of opportunities. Many of the countries or regions do not have adequate infrastructure to undertake a fast paced economic growth. Natural resources, minerals, water, energy, skilled manpower are the key ingredients that are needed for the growth and industrial activities. Thus, marketers need to consider individual regions and economies carefully before launching any marketing operations (The Economic Environment, 2012). International marketing is influenced by the
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