Problem Solving Process in Mathematics

Problem solving is the practice of working through the â€Å"facts† of a problem or situation to get a solution. Problem solving entails the systematic use of â€Å"operations† to measure thinking abilities and skills. Problem solving practices help children to develop cognitive skills.Advertising We will write a custom essay sample on Problem Solving Process in Mathematics specifically for you for only $16.05 $11/page Learn More Polya’s model offers four principles for solving different mathematical problems. The first principle is to â€Å"understand the problem†. At this stage, the learner thinks of the best â€Å"strategy† to find a solution. The second principle is â€Å"devising a conceptual plan†. The stage helps learners to consider the best strategies to get a solution. The third stage is â€Å"carrying out the plan†. This stage entails using the selected plan or choosing a better strategy. The fo urth principle is â€Å"looking back†. At this stage, the learner examines what he or she has done to obtain the â€Å"solution†. Problem solving in mathematics is vital because it helps learners develop high-order thinking and analytical skills. The learners also become critical thinkers and address the problems encountered in life. Learners use various strategies to solve mathematical problems. The first one is â€Å"model drawing†. The strategy involves the use of visual effects. For example, learners required to add 5 to 2 would draw 5 and 2 cars to get 7. The other strategy is â€Å"drawing a picture†. A learner can draw pictures when adding numbers. For example, a child can draw three and two pens to get five. The third strategy is â€Å"making a systematic list†. Systematic â€Å"lists† can help learners memorize numerical numbers. For example, a child expected to write numbers 1 to 10 could make a systematic list of items from one to ten. The fourth strategy is â€Å"working backwards† as explained in this example. Jimmy spent five dollars to remain with five dollars. How many dollars did he have in total? The child will work from $5 and add 5 to get $10.Advertising Looking for essay on math statistics? Let's see if we can help you! Get your first paper with 15% OFF Learn More Learner in different grades will use these strategies differently. The first strategy is â€Å"drawing a picture†. A second grade science learner can use the method to solve mathematical problems as follows: A carpenter makes four pieces from a wood. How many cuts does she make? The learner will draw a piece of wood and divide it into four pieces. The child will get three â€Å"cuts†. A sixth grade learner can use the strategy as follows: In a party, there were three couples. Every person shook each one’s hand once. What was the total number of handshakes? The learner will draw letters to represe nt the couples and handshakes made. The second strategy is â€Å"working backwards† as presented below. A child had saved some money. His father gave him 10 dollars. He spent 13 dollars to remain with 7 dollars. How much had he saved? From this problem, the learner will begin with 7 dollars. The next thing is to add 13 to get 20. The learner will then subtract the $10 obtained from the father to get 10 dollars. A sixth grade learner can work backwards to solve the problem below. Agnes, Ann, and Angel had some coins. Agnes gave Ann 12 coins. Ann gave Angel 10 coins while Angel gave Agnes 4 coins. They all had 20 coins. What is the number of everyone’s coins at the beginning? The learner can work backwards from 20 coins to get the answer. In conclusion, teachers should incorporate problem-solving activities into instruction because they help sharpen the learners’ skills and competencies. The methods can also make the learning process easier. The learners can use t hese strategies to achieve mastery and proficiency in mathematics problem solving. These general heuristics for problem solving are important because they can help people become critical thinkers. Such activities can help learners develop the best interactional and decision-making skills. They also provide skills for dealing with challenges in life. This essay on Problem Solving Process in Mathematics was written and submitted by user Jazmin Lott 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.

Essay Preparation Tips For the Medusa and the Snail Sample AP Exam

Essay Preparation Tips For the Medusa and the Snail Sample AP ExamThe Medusa and the Snail sample AP Exam are divided into two parts. Part I involves a variety of sentence structures that use active voice and subordinate clauses in the past tense. Part II is the control portion that will test your comprehension of the material.In Part I, you will be given four short passages of the exact same length to read, but using different verbs and tenses. Each passage will have a similar purpose: to demonstrate the various uses of active voice and subordinate clauses in the past tense. There are very few instances where past tense is used throughout the entire essay.Your assignment will also be different for each essay. In some cases, you will be told what you need to do by the instructor or will receive a review sheet. For others, you will be asked to come up with an answer yourself.In order to be prepared for this type of essay, you should first know how the essays will be graded. Each essay will have its own points system, but they all look at your level of understanding of the topic. The higher your level of understanding, the more points you will get. The points system is determined by the professor and your teacher can give you more detailed instructions about it.The instructions that you will be given by your instructor, especially for the Medusa and the Snail sample AP essay, will give you a rough idea of what to expect. Many students have trouble with this part of the exam, especially if they have taken a test before that they feel was easier than the one you are currently taking. The majority of the essays, including the Medusa and the Snail sample, will be quite long, so you should be able to follow the directions and get through them without any problems.During the essays, you will be asked to perform multiple tasks. To start, you will be asked to complete a short survey that contains two questions, one about your level of understanding of the essay, and one about your opinion on it. You will then be asked to write a short paragraph summarizing the information you learned in the essay, as well as explaining why you think it is important.You will also be asked to consider four paragraphs which contain statements such as 'This topic is an important one,' 'This topic is important for everyone to understand,' and 'All students should learn about this topic.' Each paragraph should have a short statement related to the topic. You will be asked to provide support for each statement in your essay.You should plan to work hard during the Medusa and the Snail sample AP essay, as these kinds of tests will require a lot of mental acuity and planning. Remember that the information is not going to magically appear on the page for you to memorize, so you will need to come up with a way to represent it. Be sure to set aside plenty of time for the essay and practice making sense of the information that you learn during the essay.