Key message: It is not enough to just name the steps of the problem-solving process. Without the right mindset, difficult problems cannot be solved.
I have a problem when I am dissatisfied with a current situation, but at the moment I am not able to achieve the desired target situation (the goal). It may be that I do not know what the goal looks like or the means to achieve the goal are unknown or an obstacle must be overcome on the way to the goal (e.g. the required means may be known but not available). So a problem solution has four main elements: the initial situation, the obstacle, the goal and the method to achieve the goal.
problem occurs when a problem solver has a goal but initially does not know how to achieve the goal. This definition has three parts: (1) the current state - the problems begins
in a given state; (2) the goal state - the problem solver wants the problem to be in a different state, and problem solving is required to transform the problem from the current (or
given) state into the goal state, and (3) obstacles - the problem solver does not know the correct solution and an effective solution method is not obvious to the problem solver."
In order to solve a problem, three main steps must always be carried out:
(Lindemann, U. (2009). Methodische Entwicklung technischer Produkte. Heidelberg: Springer, p. 46)
"A common misconception regarding the CPS [creative problem-solving] process is that it is a freewheeling, unstructured, almost mystical process. This belief is fostered by anecdotes of creative breakthroughs occurring during periods of unconscious sleep or via some subconscious thought process. Although entirely possible, research on creativity has found the CPS process to require much more methodical, disciplined, and sustained cognitive effort ...
... the CPS process involves some degree of problem preparation followed by periods of idea generation, idea evaluation and refinement, and idea implementation. During problem preparation, the
problem is identified, relevant information gathered, and the problem further delineated, producing a clear
problem definition. Problem preparation is then followed by a period of “solution finding” where activities are undertaken to generate, to evaluate, and to refine new ideas that ultimately lead to a creative solution(s) to the problem. Finally, the solution is administered or implemented to actually
resolve the problem." (Titus, P. A. (2000). Marketing and the creative problem-solving process. Journal of Marketing Education, 22, p. 226)
The following figure shows my understanding of the problem-solving process:
We go through this process quite quickly when we want to solve small problems: We want to achieve a goal, but we don't know how. We recognize this as a problem and try to understand it. We estimate how much time we have to reach the goal and determine how optimal our problem solution should be. Based on our existing knowledge, we develop ideas to solve the problem. We consider how these ideas could be implemented. Then we select the best idea and its implementation and apply it. We check whether we have achieved our goal in the desired quality.
With major problems, every step in the process is difficult. Read the explanation for every step of the problem-solving process on Learn-Study-Work:
Many problems are very difficult or impossible to solve because they were not recognized in time.
"The ability to detect problems at early stages can lead to more timely and effective interventions. Conversely, failures of early problem detection can result in accidents and performance breakdowns if action is not initiated until the situation has deteriorated to the point where recovery is impossible." (Klein, G., Pliske, R. Crandall, B., & Woods, D. D. (2005). Problem detection. Cognition, Technology & Work 7(1), p. 14)
Recognizing problems is also a chance to set and achieve new goals.
"In artificial cognitive systems, goals serve functions similar to those they do in people. ... Autonomy involves not only the capacity to achieve given goals, but it also concerns the ability to recognize new problems and to propose goals that are worth achieving. ... Both opportunities and threats in the world require an agent to anticipate events within the context of its interests." (Cox, M. T. (2013). Goal-Driven Autonomy and Question-Based Problem Recognition. In Poster Collection. Palo Alto, CA: Cognitive Systems Foundation. http://mcox.org, 29.08.21, p. 2)
There are two ways to solve a complex problem: the problem can be solved in one run of the problem-solving process (waterfall style) or iteratively.
"The waterfall style breaks down a project based on activity. ... [A one year software project] might thus have a 2-month analysis phase, followed by a 4-month design phase, followed by a 3-month coding phae, followed by a 3-month testing phase.
The iterativ style breaks down a project by subsets of functionality. ... In the first iteration, you'd take a quarter of the requirements and do the complete software life cycle for that quarter: analysis, design, code and test. Then you'd do a second iteration so that at the end of 6 month, you'd have a system that does half of the functionality. Of course the above is a simplified description ..." (Fowler, M. (2004) UML destilled. Addison-Wesley, Boston, p. 20)
It is often useful to divide a complex problem into subproblems and solve them one after the other.
"... we defend the position that the ... assertion (ie that the central focus of education should be to inculcate general skills like critical thinking, problem solving, clinical reasoning and reflection) is indeed a myth. ... the evidence demonstrates again and again that the essence of expertise is the possession of a large, organised and retrievable body of both formal and experiential knowledge, not any kind of general thinking skills." (Monteiro S, Sherbino J, Sibbald M, Norman G. Critical thinking, biases and dual processing: The enduring myth of generalisable skills. Med Educ. 2020;54(1), p. 66)
"Consider ... the myth examined by Monteiro et al [see the quote above] in this issue of Medical Education. ... The authors call into question the utility of dedicating valuable teaching time to content‐independent general cognitive skills when the impact of this type of education on improving rates of diagnostic error remains unclear." (Dehmoobad Sharifabadi A, Clarkin C, Doja A. Myths in medicine: How did we get here? Med Educ. 2020 Jan;54(1), p. 13)
No one claims that the central focus of an education should be to teach general skills, but one must be able to apply knowledge. The ability to apply knowledge is called skill or competence (in my opinion skill and competence are the same).
"... ‘competence’ means the proven ability to use knowledge, skills and personal, social and/or methodological abilities ..." (https://eur-lex.europa.eu/legal-content/EN/TXT/HTML/?uri=CELEX:32017H0615(01)&from=DE#d1e32-20-1, 14.11.20, annex 1)
"Personal, social, and methodological abilities" are general skills that help apply knowledge. Understanding the problem-solving process is a "methodological ability".
"Methodological competence [refers to the] willingness and ability to proceed in a goal-oriented, systematic approach when dealing with tasks and problems (for example, when planning the work steps)." (www.kmk.org/fileadmin/veroeffentlichungen_beschluesse/2021/2021_06_17-GEP-Handreichung.pdf, 07.11.21, p. 16)
Each step of the
problem solving process requires a great deal of knowledge related to the problem at hand. It is important to recognize what knowledge is necessary to solve the problem and whether knowledge is
missing. People who have no experience in problem solving often make mistakes here. In my experience, people with problem-solving skills put more effort into gathering the necessary knowledge
because they want to find an optimal solution and because they take into account that something can go wrong.
How can an expert come into the "possession of a large, organised and retrievable body of both formal and experiential knowledge" (the request of the above articles)?
"Understanding is about transfer ... To be truly able requires the ability to transfer what we have learned to new and sometimes confusing settings. The ability to transfer our knowledge and skill effectively involves the capacity to take what we know and use it creatively, flexibly, fluently, in different settings or problems, on our own. Transferability is not mere plugging in of previously learned knowledge and skill." (Wiggins, G., & McTighe, J. (1998). Understanding by design. Alexandria, VA: ASCD, p. 40)
A deep understanding of knowledge can only be achieved by applying it and thus gaining experience:
If our knowledge is not complete, i.e. if necessary information is missing, then our creativity is required.
"Expertise encompasses everything that a person knows and can do in the broad domain of his or her work. ... Creative thinking ... refers to how people approach problems and solutions - their capacity to put existing ideas together in new combinations. ...
Expertise and creative thinking are an individual's raw materials - his or her natural resources, if you will. But a third factor - motivation - determines what people will actually do." (Amabile, T. M. (1998). ‘How to kill creativity’. Harvard Business Review, Sept/Oct, p. 78,79)
Learn-Study-Work is not a political website. Therefore this is just an example how to apply the first steps of the problems solving process.
First step: See the problem
At first people did
not notice that industrialization is causing climate change. Then they realized that climate change can be threatening to the earth.
Second step: Understand the problem
People studied climate change and understood that climate change is an "unsatisfactory situation" because as a result glaciers and sea ice melt, the sea level rises, more flooding and droughts occur, hurricanes and other storms become stronger, species become extinct and some diseases can spread due to migration.
Third step: Set the goal
A possible goal is to stop the climate change by reducing the amount of carbon dioxide and other greenhouse gases in the atmosphere.
Unfortunately this is not easy to do because there are two obstacles:
1. To stop the climate change, many people would have to change their lifestyles considerably but not enough people agree.
2. To stop the climate change without changing the lifestyle would cost a huge amount of money but not enough countries are able or agree to invest this amount of money.
Fourth step: Find or have ideas to solve the problem
After understanding the situation, the obstacles and the goal it is necessary to think about possible solutions how to overcome the obstacles and to achieve the goal. Here is a list of possible strategies (a strategie is a long-term plan):
*) "Use economic power" means buying green products and services and investing in "green" business.
Everyone must decide for himself which of these alternative strategies is effective and is in line with his values. Probably only a combination of different strategies will lead to solving the problem of climate change. Maybe you are creative and find further strategies.
Read on Learn-Study-Work:
"How to define words", "What is Respect", "How to respond to disrespect", "What is Science", "What is Health", "How to write a text", "How to analyze situations = systems", "How to be creative", "How to recognize problems"