Direct Modeling; the use of manipulatives and drawings along with counting to represent directly the meaning of a story or problem, is the step that usually precedes invented strategies.
When you simplify, you are just taking the equation down to it's simplest form, not solving it. Evaluation involves actually solving the problem.
A step that is NOT part of the problem-solving model is "ignoring the problem." Effective problem-solving typically involves steps such as identifying the problem, analyzing possible solutions, implementing a solution, and evaluating the results. Ignoring the issue would prevent any progress from being made and contradicts the purpose of the model.
An equation is a ploblem with no answer and an expression is a problem with an answer so you'll get different answers with an equation and an expression.
Problem solving involves several key dimensions, including cognitive, emotional, and social aspects. Cognitively, it entails identifying the problem, analyzing information, generating solutions, and evaluating outcomes. Emotionally, it requires resilience and motivation to navigate challenges and setbacks. Socially, collaboration and communication with others can enhance the problem-solving process by bringing in diverse perspectives and expertise.
The difference is that decision making usually come first than problem solving.
In research, a problem is identified and a solution is sought. Whereas in problem solving, the problem itself is the focus of attention and the goal is to find a way to solve it. One key distinction between these two approaches is that research assumes there is a solution to be found, while problem solving does not assume this. In fact, there may not be a good or workable solution to a given problem. Therefore, the key difference between research and problem solving lies in their respective orientations: Problem solving starts with the recognition of a difficulty or obstacle that needs to be overcome; whereas research starts with an idea or question that needs to be explored.
Critical thinking is a large, overarching term, while problem solving is specific. In problem solving, you have something specific to figure out, and may need to use critical thinking to accomplish the goal.
Top-down problem-solving starts with a general idea or goal and breaks it down into smaller steps to reach a solution. Bottom-up problem-solving involves analyzing specific details and gradually building up to a larger solution.
A problem is a task or situation that needs to be solved, while an algorithm is a step-by-step procedure for solving a problem. Understanding this distinction helps in choosing the right approach for problem-solving. By recognizing the difference, individuals can apply appropriate algorithms to efficiently and effectively solve problems.
Problem solving
Problem solving
Problem solving, logical thinking towards a problem. in short,the capability of analyzing the situation,people,problem and arriving to a solution.== == from?
Decision making involves choosing between different options or courses of action, while problem solving is the process of finding a solution to a specific issue or challenge. Decision making typically involves weighing pros and cons, whereas problem solving often requires analyzing the root causes of a problem and exploring potential solutions.
Direct Modeling; the use of manipulatives and drawings along with counting to represent directly the meaning of a story or problem, is the step that usually precedes invented strategies.
problem solving
When you simplify, you are just taking the equation down to it's simplest form, not solving it. Evaluation involves actually solving the problem.