This paper will discuss the idea that problem solving is a process that needs to be understood by instructors so that they can develop better and more effective classroom activities and tasks.The necessary skills for problem solving as well as the methods and strategies to teach or facilitate them are discussed.Tags: Lynda Barry EssayJean-Jacques Rosseau Essay On The Origin Of LanguagesGeorge Mason Creative WritingAssignments On ContractShort Essay On WinterProposal Argument Essay Outline
First, the student is taught a 7-step process for attacking a math word problem (cognitive strategy).
Second, the instructor trains the student to use a three-part self-coaching routine for each of the seven problem-solving steps (metacognitive strategy). I will reread the problem if I don’t understand it.” Ask: “Now that I have read the problem, do I fully understand it” Check: “I understand the problem and will move forward.”Say: “I will highlight key words and phrases that relate to the problem question.” “I will restate the problem in my own words.” Ask: “Did I highlight the most important words or phrases in the problem” Check: “I found the key words or phrases that will help to solve the problem.”Say: “I will compute the answer to the problem.” Ask: “Does my answer sound right” “Is my answer close to my estimate” Check: “I carried out all of the operations in the correct order to solve this problem.”Students will benefit from close teacher support when learning to combine the 7-step cognitive strategy to attack math word problems with the iterative 3-step metacognitive Say-Ask-Check sequence.
If the instructors understanding of the process is limited, difficulties in teaching mathematical problem solving, will arise.
Hence the great need to understand these factors and skills if we want to help our students acquire this important process.
Mathematics is now used to quantify numerically and spatially natural as well as man-made situations.
It is used to solve problems and with the advent of the computer technology, it has helped in making social, economical and technological advances that few decades ago would have been unthinkable.To balance the equation, they can then subtract 7 from 89.Suppose students must find the difference of 567 and 153.My purpose here is to present some of these issues in order to stimulate discussions.Suggestions on how to facilitate certain aspects of mathematical problem solving, as I apply them in my classes, are also presented.Let’s say students must find the sum of 393 and 89.They should quickly see that adding 7 onto 393 will equal 400 — an easier number to work with.Solving an advanced math problem independently requires the coordination of a number of complex skills.The student must have the capacity to reliably implement the specific steps of a particular problem-solving process, or cognitive strategy.In fact one of the main difficulties in learning problem solving is the fact that many skills are needed for a learner to be an effective problem solver.Also, these factors and skills make the teaching of problem solving one of the most complex topic to teach.