METHODS OF TEACHING MATHEMATICS: Module 9: Problem Solving Method

 

problem solving method of teaching mathematics

Every year my students can be fantastic at math until they start to see math with words. For some reason, once math gets translated into reading, even my best readers start to panic. There is just something about word problems, or problem-solving, that causes children to think they don't know how to complete them. Every year in math, I start off by teaching my students problem-solving skills. Effectiveness ofProblem Solving Method in Teaching Mathematics at Elementary Level According to Nafees (), problem solving is a process to solve problems through higher order cognitive operations of visualizing, associating, abstracting, comprehending, manipulating, reasoning and analyzing. PSA encourages students to. The Role of Problem Solving in Teaching Mathematics as a Process. Problem solving is an important component of mathematics education because it is the single vehicle which seems to be able to achieve at school level all three of the values of mathematics listed at .


Problem-Solving - TeacherVision


Problem-solving is the ability to identify and solve problems by applying appropriate skills systematically. Problem-solving is a process—an ongoing activity in which we take what we know to discover what we don't know. It involves overcoming obstacles by problem solving method of teaching mathematics hypo-theses, testing problem solving method of teaching mathematics predictions, and arriving at satisfactory solutions, problem solving method of teaching mathematics.

Problem-solving is, and should be, a very real part of the curriculum. It presupposes that students can take on some of the responsibility for their own learning and can take personal action to solve problems, resolve conflicts, discuss alternatives, and focus on thinking as a vital element of the curriculum.

It provides students with opportunities to use their newly acquired knowledge in meaningful, real-life activities and assists them in working at higher levels of thinking see Levels of Questions. Here is a five-stage model that most students can easily memorize and put into action and which has direct applications to many areas of the curriculum as well as everyday life:. Here are some techniques that will help students understand the nature of a problem and the conditions that surround it:.

For younger students, illustrations are helpful in organizing data, manipulating information, and outlining the limits of a problem and its possible solution s, problem solving method of teaching mathematics. Students can use drawings to help them look at a problem from many different perspectives. Understand the problem. It's important that students understand the nature of a problem and its related goals.

Encourage students to frame a problem in their own words. Describe any barriers. Students need to be aware of any barriers or constraints that may be preventing them from achieving their goal.

In short, what is creating the problem? Encouraging students to verbalize these impediments is always an important step. Identify various solutions. After the nature and parameters of a problem are understood, students will need to select one or more appropriate strategies to help resolve the problem. Students need to understand that they have many strategies available to them and that no single strategy will work for all problems. Here are some problem-solving possibilities:, problem solving method of teaching mathematics.

Create visual images. Give students opportunities to engage in some trial-and-error approaches to problem-solving. It should be understood, however, that this is not a singular approach to problem-solving but rather an attempt to gather some problem solving method of teaching mathematics data.

Create a table. A table is an orderly arrangement of data. When students have opportunities to design and create tables of information, they begin to understand that they can group and organize most data relative to a problem.

Use manipulatives. By moving objects around on a table or desk, students can develop patterns and organize elements of a problem into recognizable and visually satisfying components. Work backward. It's frequently helpful for students to take the data presented at the end of a problem and use a series of computations to arrive at the data presented at the beginning of the problem.

Look for a pattern. Looking for patterns is an important problem-solving strategy because many problems are similar and fall into predictable patterns. A pattern, by definition, is a regular, systematic repetition and may be numerical, visual, or behavioral.

Create a systematic list. Recording information in list form is a process used quite frequently to map out a plan of attack for defining and solving problems.

Encourage students to record problem solving method of teaching mathematics ideas in lists to determine regularities, patterns, or similarities between problem elements. Try out a solution. When working through a strategy or combination of strategies, it will be important for students to …. Keep accurate and up-to-date records of their thoughts, proceedings, and procedures. Recording the data collected, the predictions made, and the strategies used is an important part of the problem solving process.

Try to work through a selected strategy or combination of strategies until it becomes evident that it's not working, it needs to be modified, or it is yielding inappropriate data.

As students become more proficient problem-solvers, they should feel comfortable rejecting potential strategies at any time during their quest for solutions. Monitor with great care the steps undertaken as part of a solution. Feel comfortable putting a problem aside for a period of time and tackling it at a later time. For example, problem solving method of teaching mathematics, scientists rarely come up with a solution the first time they approach a problem.

Students should also feel comfortable letting a problem rest for a while and returning to it later. Evaluate the results.

It's vitally important that students have multiple opportunities to assess their own problem-solving skills and the solutions they generate from using those skills. Frequently, students are overly dependent upon teachers to evaluate their performance in the classroom.

The process of self-assessment is not easy, however. It involves risk-taking, self-assurance, and a certain level of independence. All rights reserved including the right of reproduction in whole or in part in any form. Frequently Asked Questions on Inclusion.

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We have a plan for every budget. All plans include a free trial and enjoy the same features. Cancel anytime. Learn more about Premium. Help your students learn how to overcome issues independently by integrating problem-solving skills into your lesson plans. This article will help you teach your students how to understand, identify, and resolve issues that they are facing in class.

Teaching Strategies:. Problem Solving Curriculum Planning New Teacher Resources Manage My Favorites, problem solving method of teaching mathematics. Problem-Solving Jabberwocky Problem-solving is the ability to identify and solve problems by applying appropriate skills systematically.

Expert Opinion Here are some techniques that will help students understand the nature of a problem and the conditions that surround it: List all related relevant facts.

Make a list of all the given information. Restate the problem in their own words. List the conditions that surround a problem. Describe related known problems. It's Elementary For younger students, illustrations are helpful in organizing data, manipulating information, and outlining the limits of a problem and its possible solution s.

Excerpted from. Fredericks, Ed. To order this book visit Amazon's web site or call Buy This Book, problem solving method of teaching mathematics. Related Resources. Read more. This graphic organizer can be used in every subject, This printable is customizable. Tailor the PDF to your teaching needs by typing This printable resource provides excellent advice Join TeacherVision today Spend more time teaching and less time searching. Select a plan All plans include a free trial and enjoy the same features.

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problem solving method of teaching mathematics

 

Effectiveness ofProblem Solving Method in Teaching Mathematics at Elementary Level According to Nafees (), problem solving is a process to solve problems through higher order cognitive operations of visualizing, associating, abstracting, comprehending, manipulating, reasoning and analyzing. PSA encourages students to. Every year my students can be fantastic at math until they start to see math with words. For some reason, once math gets translated into reading, even my best readers start to panic. There is just something about word problems, or problem-solving, that causes children to think they don't know how to complete them. Every year in math, I start off by teaching my students problem-solving skills. May 20,  · METHODS OF TEACHING MATHEMATICS Friday, May 20, Module 9: Problem Solving Method PROBLEM SOLVING METHOD. The child is curious by nature. He wants to find out solutions of many problems, which sometimes are puzzling even to the adults. The problem solving method is one, which involves the use of the process of problem solving or reflective Author: Thiyagusuriya.