problem solving skills slideshare

The Importance of Problem-solving Skills

Enhancing Critical Thinking and Creativity

Slide 1 : Introduction

• Problem-solving is a fundamental skill in both personal and professional life.
• It involves finding solutions to challenges and overcoming obstacles.
• Developing problem-solving skills enhances critical thinking and creativity.
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Slide 2 : The Process of Problem-Solving

• Identify the problem and define its parameters.
• Analyze the situation and gather relevant information.
• Generate potential solutions and evaluate their feasibility.
• Implement the chosen solution and assess the outcome.

Slide 3 : Benefits of Problem-Solving Skills

• Enhances critical thinking and analytical skills.
• Fosters creativity and innovation.
• Boosts confidence and self-efficacy.
• Improves decision-making and adaptability.

Slide 4 : Practical Applications of Problem-Solving

• Business: Identifying market trends and developing strategies.
• Education: Resolving conflicts among students and promoting collaboration.
• Technology: Troubleshooting software issues and optimizing system performance.
• Personal Life: Solving everyday challenges and making informed choices.

Slide 5 : Developing Problem-Solving Skills

• Practice critical thinking and logical reasoning.
• Encourage creativity and open-mindedness.
• Collaborate with others and seek diverse perspectives.
• Learn from past experiences and reflect on different approaches.

Slide 6 : Conclusion

• Problem-solving skills play a crucial role in personal and professional success.
• They enhance critical thinking, creativity, and decision-making abilities.
• By developing problem-solving skills, individuals become more adaptable and resilient in the face of challenges.
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5 steps of problem solving .

Description  

There are many approaches to problem solving. Although the Six Sigma DMAIC and 8D problem solving methodologies are highly rigorous and require quite a fair bit of tools for data and statistical analysis, these techniques are more suitable for engineers and other professional/technical staff. 

However, for shopfloor supervisors, technicians and operators as well as office/administrative support staff, a lighter and simpler problem solving approach is more suitable. The Five Steps of Problem Solving process was developed specifically for this purpose.  

Based on the Plan-Do-Check-Act (PDCA) approach, the Five Steps of Problem Solving consist of: 

1. Define the Problem 2. Analyze Root Cause 3. Develop Countermeasures 4. Implement Solutions 5. Evaluate & Follow Up. 

The 12 tools covered in this presentation are the more commonly used ones in problem solving, process improvement and kaizen activities. They include Brainstorming, Stratification, Bar Chart, Line Graph, Pie Chart, Radar Chart, Check Sheet, Pareto Chart, 5 Whys, Cause & Effect Diagram, Histogram and Scatter Diagram.

Learning Objectives​

​1. Acquire knowledge of key concepts and principles in PDCA problem solving. 2. Understand team dynamics and define roles within the problem-solving team. 3. Familiarize with the five-step problem-solving process and tools.

4. Discover key strategies for successful problem-solving.

1. Key Concepts & Principles

2. Problem Solving Teams & Roles

3. Five Steps of Problem Solving

4. Problem Solving Tools

5. Practical Tips for Success

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5 Steps of Problem Solving

Business Process Reengineering (BPR)

Problem Solving & Visualization Tools

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Problem-solving skills

Jan 05, 2020

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Problem-solving skills. In most problems, you are given information about two points in space-time, and you are asked to find information about the space or time separation in another frame of reference.

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• energy consumption
• kinetic energy
• energy increase rapidly
• rest energy mc 2

Presentation Transcript

Problem-solving skills In most problems, you are given information about two points in space-time, and you are asked to find information about the space or time separation in another frame of reference. The single most universal way to attack such problems is to write down the 4-vector points in the one frame, and then transform them to the other frame to obtain the desired information.

Example: problem 5.14 For an observer in a rest frame S, an explosion occurs at x1=0, t1=0. A second explosion occurs at x2=500 m at time t2=10-6 s. Calculate the velocity of a second observer if the second observer is to observe the two flashes simultaneously. • Simultaneous: in the second observer’s frame, • Write down the 4-vectors in frame S:

Construct the Lorentz transform to the other frame: Check the sign of the second terms: look at how the origin of the frame S (x=0) moves as seen in the frame S’: x decreases, so the second terms need the - sign. (It depends upon the statement of the problem and which way you assume the relative velocity to point.) t=0 for simultaneity.

Invariants revisited We showed that is a Lorentz invariant: it has the same value for a given measure of (where and when) in all frames of reference. We will show that the same is true for the “dot product” of any two 4-vectors

So the scalar product of any two 4-vectors is a Lorentz invariant!

Energy and momentum How to treat energy and momentum in special relativity? We must recover two cases: Classical limit: v<<c, kinetic energy Relativistic limit: vc, no matter can travel faster than the c, no matter how much kinetic energy it has.

Construct 4-vectors of energy, momentum Einstein included two terms in the energy: the kinetic energy T associated with motion, and the rest energy mc2 associated with mass. We can evaluate the invariant easily in the rest frame: p=0, T=0, so

Now we can evaluate the velocity dependence of momentum, energy, kinetic energy, by making a Lorentz transform from the rest frame. Rest frame: Boost to velocity bc in x direction:

Now let’s recover the classical results: Indeed, we can define a relativistic transformation of mass:

Acceleration of a spaceship Suppose we accelerate a 10 ton spaceship to v=.5c. How much impulse do we deliver, how much work do we do? The output of a GW power plant for a year is 3x1016 J! This is comparable to the energy consumption of the entire Earth’s population for a year.

Suppose we keep accelerating? As we try to increase  further, gamma increases quadratically. The impulse and energy increase rapidly: It would take an infinite amount of energy to reach v=c!

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