Problem Solving Strategy

Definition

A problem solving strategy is a systematic approach used to identify and address a problem or challenge. It involves a series of steps or techniques that guide an individual or a group towards finding a solution or resolution to the problem at hand.

5 Must Know Facts For Your Next Test

1. Effective problem solving strategies help individuals and teams break down complex problems into manageable steps, leading to more efficient and effective solutions.
2. The use of a problem solving strategy can enhance analytical and decision-making skills, as it encourages a structured and logical approach to problem-solving.
3. Identifying the root cause of a problem is a crucial step in the problem solving process, as it allows for the development of targeted and sustainable solutions.
4. Flexibility and adaptability are important when applying a problem solving strategy, as problems may require the use of different techniques or approaches depending on the context and complexity.
5. Regular practice and application of problem solving strategies can improve an individual's confidence and ability to tackle a wide range of problems in both personal and professional settings.

Review Questions

• Explain how a problem solving strategy can be beneficial in the context of intermediate algebra.
  • In the context of intermediate algebra, a problem solving strategy can be highly beneficial. By breaking down complex algebraic problems into manageable steps, students can develop a more systematic approach to problem-solving. This can lead to a better understanding of the underlying concepts, improved accuracy in calculations, and the ability to apply problem-solving techniques to a wider range of algebraic problems. Additionally, the use of a problem solving strategy can help students identify and address any gaps in their knowledge or understanding, ultimately enhancing their overall performance in the course.
• Describe how the Polya's Four-Step Method can be applied to solve an intermediate algebra word problem.
  • Polya's Four-Step Method is a widely recognized problem solving strategy that can be effectively applied to intermediate algebra word problems. The first step, understanding the problem, involves carefully reading the problem statement, identifying the given information, and determining the desired outcome. The second step, devising a plan, may involve translating the problem statement into an algebraic equation or expression and identifying the appropriate mathematical operations or techniques to solve it. The third step, carrying out the plan, involves executing the chosen problem-solving approach step-by-step. Finally, the fourth step, reviewing the solution, encourages students to check their work, ensure the solution makes sense, and consider alternative approaches or strategies that could have been used.
• Analyze how the use of critical thinking skills can enhance the effectiveness of a problem solving strategy in the context of intermediate algebra.
  • The application of critical thinking skills can significantly enhance the effectiveness of a problem solving strategy in the context of intermediate algebra. Critical thinking involves the ability to analyze, evaluate, and think deeply about a problem or situation, which is essential when tackling complex algebraic problems. By engaging in critical thinking, students can better identify the underlying principles and relationships within the problem, evaluate the appropriateness of various problem-solving techniques, and make well-reasoned decisions about the most effective approach. This deeper level of analysis and evaluation can lead to more robust and sustainable solutions, as well as a deeper understanding of the algebraic concepts involved. Furthermore, the development of critical thinking skills can empower students to adapt and apply problem solving strategies to a wider range of algebraic problems, ultimately improving their overall performance and problem-solving abilities.

Related terms

Polya's Four-Step Method: A widely used problem solving strategy that consists of four key steps: understanding the problem, devising a plan, carrying out the plan, and reviewing the solution.

Brainstorming: A collaborative technique where individuals generate and share a large number of ideas or possible solutions to a problem without initial evaluation or criticism.

Critical Thinking: The ability to analyze, evaluate, and think deeply about a problem or situation to arrive at a well-reasoned solution or decision.