Monday, April 13, 2020
Problem Solving Process in Mathematics
Problem solving is the practice of working through the ââ¬Å"factsâ⬠of a problem or situation to get a solution. Problem solving entails the systematic use of ââ¬Å"operationsâ⬠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 Polyaââ¬â¢s model offers four principles for solving different mathematical problems. The first principle is to ââ¬Å"understand the problemâ⬠. At this stage, the learner thinks of the best ââ¬Å"strategyâ⬠to find a solution. The second principle is ââ¬Å"devising a conceptual planâ⬠. The stage helps learners to consider the best strategies to get a solution. The third stage is ââ¬Å"carrying out the planâ⬠. This stage entails using the selected plan or choosing a better strategy. The fo urth principle is ââ¬Å"looking backâ⬠. At this stage, the learner examines what he or she has done to obtain the ââ¬Å"solutionâ⬠. 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 ââ¬Å"model drawingâ⬠. 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 ââ¬Å"drawing a pictureâ⬠. 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 ââ¬Å"making a systematic listâ⬠. Systematic ââ¬Å"listsâ⬠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 ââ¬Å"working backwardsâ⬠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 ââ¬Å"drawing a pictureâ⬠. 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 ââ¬Å"cutsâ⬠. A sixth grade learner can use the strategy as follows: In a party, there were three couples. Every person shook each oneââ¬â¢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 ââ¬Å"working backwardsâ⬠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 everyoneââ¬â¢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 learnersââ¬â¢ 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.
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