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Procedia - Social and Behavioral Sciences
Wclta 2010 effect of problem solving strategies on problem solving achievement in primary school mathematics.
This research is extracted from master thesis and searches the success of the students in the second grade primary school on problem solving strategies. The research is experimentally carried out on the second grade primary school students during 14 weeks. During the research, the experiment group has been trained about problem solving strategies in mathematics classes by the researcher while the control group was continued traditional problem solving practices. The data of this study was obtained from the two written problem solving tests including open-ended problems. These tests are applied in the middle and end of the practices and scored by rubrics. Additionaly, qualitive interviews were performed with the students to provide expalanation describing their solutions, strategies they used and their thoughts while solving the problems. At the end of the study, experiment group have been found significantly successful in the strategies of making a drawing-diagram, making a table, writing mathematical sentences, looking for pattern, making a list, using logical reasoning and guess-check strategies.
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Center for Teaching
Teaching problem solving.
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Tips and Techniques
Expert vs. novice problem solvers, communicate.
- Have students identify specific problems, difficulties, or confusions . Don’t waste time working through problems that students already understand.
- If students are unable to articulate their concerns, determine where they are having trouble by asking them to identify the specific concepts or principles associated with the problem.
- In a one-on-one tutoring session, ask the student to work his/her problem out loud . This slows down the thinking process, making it more accurate and allowing you to access understanding.
- When working with larger groups you can ask students to provide a written “two-column solution.” Have students write up their solution to a problem by putting all their calculations in one column and all of their reasoning (in complete sentences) in the other column. This helps them to think critically about their own problem solving and helps you to more easily identify where they may be having problems. Two-Column Solution (Math) Two-Column Solution (Physics)
Encourage Independence
- Model the problem solving process rather than just giving students the answer. As you work through the problem, consider how a novice might struggle with the concepts and make your thinking clear
- Have students work through problems on their own. Ask directing questions or give helpful suggestions, but provide only minimal assistance and only when needed to overcome obstacles.
- Don’t fear group work ! Students can frequently help each other, and talking about a problem helps them think more critically about the steps needed to solve the problem. Additionally, group work helps students realize that problems often have multiple solution strategies, some that might be more effective than others
Be sensitive
- Frequently, when working problems, students are unsure of themselves. This lack of confidence may hamper their learning. It is important to recognize this when students come to us for help, and to give each student some feeling of mastery. Do this by providing positive reinforcement to let students know when they have mastered a new concept or skill.
Encourage Thoroughness and Patience
- Try to communicate that the process is more important than the answer so that the student learns that it is OK to not have an instant solution. This is learned through your acceptance of his/her pace of doing things, through your refusal to let anxiety pressure you into giving the right answer, and through your example of problem solving through a step-by step process.
Experts (teachers) in a particular field are often so fluent in solving problems from that field that they can find it difficult to articulate the problem solving principles and strategies they use to novices (students) in their field because these principles and strategies are second nature to the expert. To teach students problem solving skills, a teacher should be aware of principles and strategies of good problem solving in his or her discipline .
The mathematician George Polya captured the problem solving principles and strategies he used in his discipline in the book How to Solve It: A New Aspect of Mathematical Method (Princeton University Press, 1957). The book includes a summary of Polya’s problem solving heuristic as well as advice on the teaching of problem solving.
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IMAGES
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COMMENTS
This study examined three different strategies in order to examine the effects it has on students' understanding of word problems. Students were taught the.
As soon as the students develop and refine their own repertoire of problem-solving strategies, teachers can highlight or concentrate on a particular strategy
emphasis on problem-solving skills (Bottge & Cho, 2013). In the field of special education, research has identified strategy instruction as a powerful means
The purpose of this study was to examine the role of exploration strategies students used in the first phase of problem solving.
Identifying the problem allows you to see which steps need to be taken to solve it. First, break the problem down into achievable blocks. Then
“Nested” strategies are described. Research is summarized of the cognitive and attitudinal processing used when we solve problems. The
this research was to investigate students' problem solving strategies ... mathematics classrooms have been currently changed to a more insight-based problem.
During the research, the experiment group has been trained about problem solving strategies in mathematics classes by the researcher while the control group was
that student has not learned good strategies for solving problems. By focusing directly on an equation, the student bypasses critical steps.
Novices in a particular field typically have not yet developed effective problem solving principles and strategies. Helping students identify their own problem