Is problem solving one word

Table of Contents

  1. What is problem solving team with example?
  2. What is another word for problem solving?
  3. What is another name for thinking?
  4. What’s another word for communication?
  5. What is communication one word?
  6. What is communication skills in simple words?
  7. What are examples of communication?
  8. What is oral communication in your own words?
  9. What is the main purpose of oral communication?
  10. What are advantages of oral communication?
  11. What are the principles of oral communication?
  12. What are the 5 principles of effective oral communication?
  13. What are the six types of oral communication?
  14. What are the type of oral communication?

problem solving—when used as a noun. Hyphenate when used as a modifier: The course examines problem solving in organizations. We went mountain climbing.

What is problem solving team with example?

Problem-solving teams: These types of teams are usually temporary and focus on solving a specific issue. For example, after the 2008 financial crisis, several organizational task force teams and governmental committees were created to come up with solutions to help the country climb out of a steep recession.

What is another word for problem solving?

What is another word for problem-solving?

analytic analytical
diagnostic logical
methodical scientific
systematic investigative
pinpointing precise

What is another name for thinking?

What is another word for thinking?

thought pondering
brown study contemplation
reflection deliberation
attention heed
regard advisement

What’s another word for communication?

other words for communication

  • connection.
  • contact.
  • conversation.
  • delivery.
  • intelligence.
  • link.
  • transmission.
  • elucidation.

What is communication one word?

Communication is simply the act of transferring information from one place, person or group to another. Every communication involves (at least) one sender, a message and a recipient. These include our emotions, the cultural situation, the medium used to communicate, and even our location.

What is communication skills in simple words?

Communication skills are the abilities you use when giving and receiving different kinds of information. Some examples include communicating new ideas, feelings or even an update on your project. Communication skills involve listening, speaking, observing and empathising.

What are examples of communication?

Five Types of Communication

  • Verbal Communication. Verbal communication occurs when we engage in speaking with others.
  • Non-Verbal Communication. What we do while we speak often says more than the actual words.
  • Written Communication. Whether it is an email, a memo, a report, a Facebook post, a Tweet, a contract, etc.
  • Listening.
  • Visual Communication.

What is oral communication in your own words?

Oral communication is communicating with spoken words. It’s a verbal form of communication where you communicate your thoughts, present ideas and share information. Examples of oral communication are conversations with friends, family or colleagues, presentations and speeches.

What is the main purpose of oral communication?

The importance of oral communication The goal of learning a language is to communicate. Oral communication skills are fundamental to the development of literacy and essential for thinking and learning. It is the glue that puts all the components of a language together.

What are advantages of oral communication?

Oral communication is best in case of problem resolution. The conflicts, disputes and many issues/differences can be put to an end by talking them over. Oral communication is an essential for teamwork and group energy. Oral communication promotes a receptive and encouraging morale among organizational employees.

What are the principles of oral communication?

Principles of effective oral communication

  • Well-Planned. Before presenting something, there should be proper planning regarding the audience, topics to be delivered, timing, and other factors: So, a person must be well-prepared to deliver his speech.
  • Clear pronunciation.
  • Brevity.
  • Precision.
  • Natural voice.
  • Logical sequence.
  • Suitable words.
  • Courteous.

What are the 5 principles of effective oral communication?

Effective Communication: Five Principles to Perfect

  • Understand yourself. Understanding who you are and what your natural tendencies are is the first step to being an effective and genuine communicator.
  • Understand your audience.
  • Listen actively.
  • Simplify.
  • Find a perfect time.

What are the six types of oral communication?

As you can see, there are at least 6 distinct types of communication: non-verbal, verbal-oral-face-to-face, verbal-oral-distance, verbal-written, formal and informal types of communication.

What are the type of oral communication?

Types of oral communication include formal communication, such as classroom lectures, speeches and meeting presentations; and informal communication, such as casual phone or dinner table conversations.

Is it problem-solving or problem solving? Hyphenation rules seem to be a little confusing when you’re first picking up a language. Don’t worry, though. They’re not nearly as complicated as the language may have led you to believe!

When we discuss the problem-solving hyphen rule, we learn that problem-solving is hyphenated when used to modify a noun or object in a sentence. We keep the two words separated when using them as their own noun and not modifying anything else in the sentence.

Examples Of When To Use “Problem-Solving”

Now that we’re into the whole debate of problem-solving vs problem solving, let’s look through some examples of how we can use “problem-solving” with a hyphen. As stated above, we use “problem-solving” when modifying a noun or object in a sentence. It’s the most common way to write “problem-solving.” Even the spelling without a hyphen is slowly being pushed out of common language use!

  • This is a problem-solving class.
  • I hold a problem-solving position at my workplace.
  • My manager put me in charge of the problem-solving accounts.
  • They say I have a problem-solving mind.
  • We’re known as problem-solving children.

Examples Of When To Use “Problem Solving”

Though much less common to be seen written as a phrase noun, it is still worth mentioning. It’s grammatically correct to use “problem solving” at the end of a sentence or clause without a hyphen. However, as we stated above, many people are beginning to prefer the ease of sticking to the hyphenated spelling, meaning that it’s slowly phasing out of existence even in this form.

  • I’m good at problem solving.
  • This requires a lot of problem solving.
  • We are all trained in problem solving.
  • My job asks for problem solving.
  • Did you say you were good at problem solving?

Is Problem-Solving Hyphenated AP Style?

Have you had a look through the rules in the AP stylebook before? Even if you haven’t, there’s a good explanation for hyphens there. As we stated above, we use hyphens when linking close words that modify a noun or object in a sentence. They’re used to help a reader better understand what is going on through the modification of the clause.

Should I Capitalize “Solving” In The Word “Problem-Solving”?

The question of “is problem-solving hyphenated” was answered, but now we’ve got a new question. What happens to capitalization rules when we add a hyphen to a title. It depends on your own title choices, so let’s look a little further into the three potential options. The first option capitalizes only the first word and any proper nouns in a title. In this case, neither word in “problem-solving” is capitalized.

The second option capitalizes all words except for short conjunctions, short prepositions, and articles. In this case, you will always capitalize “problem” but always leave “solving” uncapitalized. The final option capitalizes every single word in a title. No matter what, you’ll capitalize both words in “problem-solving” when using this style to write your titles.

Does The Rule Also Apply To “Problem Solver” Vs “Problem-Solver”?

The same rule does apply when we use “problem solver” instead of “problem solving.” However, it’s not often that we’ll see a “problem-solver” modifying a noun or object (unless it’s a problem-solver robot or something). So, it’s most likely you’ll write “problem solver.”

Alternatives To “Problem-Solving”

If you’re still struggling with the hyphen rule of whether it’s problem solving or problem-solving, there’s one last thing we can help you with. We can give you some alternatives that have the same meanings but don’t require a hyphen. This way, you can be safe in your own knowledge without having to worry about getting the rules wrong.

  • analytic
  • detailed
  • diagnostic
  • interpretive
  • rational

Quiz – Problem-Solving Or Problem Solving?

We’ll finish with a quiz to see how much you’ve learned from this article. The answers are all multiple choice, so you should have a blast with them! We’ll include the answers at the end to reference as well.

  1. I’ve been told that I’m good at (A. problem-solving / B. problem solving).
  2. I hold my (A. problem-solving / B. problem solving) skills close to my heart.
  3. We aren’t great at (A. problem-solving / B. problem solving).
  4. These are all the best (A. problem-solving / B. problem solving) subjects.
  5. Can we have a go at a (A. problem-solving / B. problem solving) puzzle?

Quiz Answers

  1. B
  2. A
  3. B
  4. A
  5. A

martin lassen dam grammarhow

Martin holds a Master’s degree in Finance and International Business. He has six years of experience in professional communication with clients, executives, and colleagues. Furthermore, he has teaching experience from Aarhus University. Martin has been featured as an expert in communication and teaching on Forbes and Shopify. Read more about Martin here.

What is problem-solving and critical thinking?

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Table of contents

  • Is problem-solving one word?

  • What is problem-solving and critical thinking?

  • What is the synonym of solving?

  • How do you say I am a good problem solver?

  • Related questions

Find another word for problem-solve. In this page you can discover 16 synonyms, antonyms, idiomatic expressions, and related words for problem-solve, like: critical-thinking, , interpersonal, creatively, problemsolving, metacognitive, communicative, , time-management, teamworking and group-work.

Is problem-solving one word?

Sr. No. Key Spoofing Phishing
1 Definition Spoofing is an identity theft where a person is trying to use the identity of a legitimate user. Phishing is where a person steals the sensitive information of user like bank account details.
2 Category Spoofing can be phishing in part. Phishing is not a part of spoofing.
3 Way For Spoofing, someone has to download a malicious software in user’s computer. Phishing is done using social engineering.
4 Purpose Spoofing is done to get a new identity. Phishing is done to get confidential information.
5 Examples IP Scoofing, Email Scoofing, URL Scoofing. Phone Phishing like asking OTP or getting bank account details, Clone phishing.
  • Related Questions & Answers
  • Difference Between Phishing and Spoofing
  • Difference between Phishing and Vishing
  • Difference between Spam and Phishing Mail
  • Difference between Spear Phishing and Whaling
  • What are the differences between Phishing and Spear Phishing?
  • Content Spoofing
  • What is Phishing?
  • What is Spoofing and what are its types?
  • What is Email Spoofing?
  • What is GPS spoofing?
  • What is Spear Phishing?
  • What is IP Spoofing? (Process and How to Prevent)
  • Difference between JCoClient and JCoDestination
  • Difference between String and StringBuffer.
  • Difference between StringBuffer and StringBuilder.

What is problem-solving and critical thinking?

Problem solving and critical thinking refers to the ability to use knowledge, facts, and data to effectively solve problems. This doesn’t mean you need to have an immediate answer, it means you have to be able to think on your feet, assess problems and find solutions.

What is the synonym of solving?

Let’s look at the terms “Finance capability” “Financial Capability” “Financial Competency” and “Financial Capacity” and see how the terms are very different based on the context and the perspective of user and the use case.

“Financial Capability” may refer to an organization’s liquidity, solvency, and an ability to raise, deploy, and service capital flows (debt or equity.) “Financial Capability” for an individual may refer to his/her net worth and the ability to take on and service debt (for example, a mortgage). This may also be considered the “financial capacity.” “Financial Competencies” refers to an individual’s skills in the area of finance and accounting spanning technical, strategic, leadership, and collaboration skills.

Alternatively, if you speak with performance improvement experts or F&A transformation experts, their reference of finance capabilities may reflect their worldview – which is how to a) optimize the finance and accounting processes and b) reskill and upgrade the competencies and skills of finance and accounting workforce.

How do you say I am a good problem solver?

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image-Is problem-solving one word?

image-Is problem-solving one word?

Related
What is the concept of problem-solving?

Yahoo on osa Yahoon tuotemerkkejä.

Klikkaamalla » Hyväksy kaikki » hyväksyt, että Yahoo ja kumppanimme tallentavat ja/tai käyttävät laitteellesi tietoja evästeiden ja vastaavien tekniikoiden avulla, ja käsittelevät henkilötietoja yksilöllisten mainosten ja sisällön näyttämistä, mainosten ja sisällön mittaamista ja kohderyhmän kävijätietoja ja tuotekehitystä varten.

Valitsemalla Hallitse asetuksia saat lisätietoja ja voit hallita valintojasi. Voit muuttaa valintojasi milloin tahansa siirtymällä tietosuoja-asetuksiisi. Lue lisää tavastamme käyttää tietojasi tietosuojakäytännöstämme ja evästekäytännöstämme. Napsauttamalla tätä saat lisätietoja kumppaneistamme.

Related
Is problem-solving a communication skill?

Marginal cost refers to the increase or decrease in the cost of producing one more unit or serving one more customer. It is also known as incremental cost.

Marginal costs are based on production expenses that are variable or direct – labor, materials, and equipment, for example – and not fixed costs the company will have whether it increases production or not. Fixed costs might include administrative overhead and marketing efforts – expenses that are the same no matter how many pieces are produced.

It is often calculated when enough items have been produced to cover the fixed costs and production is at a break-even point, where the only expenses going forward are variable or direct costs. When average costs are constant, as opposed to situations where material costs fluctuate because of scarcity issues, marginal cost is usually the same as average cost.

Calculating Marginal Cost

Calculating the marginal cost helps a business determine the point at which increasing the number of items produced will push the average cost up. Costs can increase when volume increases if the company needs to add equipment, move to a larger facility, or struggles to find a supplier that can provide enough materials.

Related
What is a synonym for the word solver?

Apple has fallen during a bad week for equity markets, which are selling off stocks in nearly every industry on fears of Fed rate hikes, weakening consumer confidence, rising inflation and global supply chain challenges. The Nasdaq Composite is down over 7% so far this week and is on pace for a six-week losing streak.

Apple faces some supply chain challenges, but the outlook for its business hasn’t markedly changed this week.

The company has typically been viewed as a «safe» place for investors to park their money. The fact that it’s being sold off alongside everything else is a bad sign for other stocks, and a sign of deteriorating investor confidence.

Renaissance Macro Research’s Jeff DeGraff told CNBC on Thursday that in a bear market, there’s nowhere to hide — and that includes Apple.

«For tech, when they start taking out the leadership in tech, that’s a better sign that they’re starting to take everything,» DeGraff said.

«Our assumption is that the AAPL sell-off will continue, not because we know anything about this quarter’s iPhone shipments or services revenue, but because we believe that once investors start selling best-of-breed names they are rarely done in one day,» said Datatrek co-founder Nick Colas on Thursday.

Related
What is an adjective for problem-solving?

Similar words for problem-solving:

  • analytic (adjective)
  • analytic/analytical (adjective)
  • analytical (adjective)
  • other relevant words (adjective)

Paraphrases for problem-solving

Opposite words for problem-solving:

Synonyms for Problem-solving:

  • adj.analytic (adjective)analytic/analytical (adjective)
    • rational,
    • sound,
    • cogent,
    • investigative,
    • testing,
    • thorough,
    • organized,
    • inquiring,
    • penetrating,
    • searching,
    • perceptive,
    • perspicuous,
    • studious,
    • Dissecting,
    • interpretive,
    • diagnostic,
    • explanatory,
    • reasonable,
    • solid,
    • conclusive,
    • precise,
    • discrete,
    • inquisitive,
    • detailed,
    • subtle,
    • systematic,
    • expository,
    • well-grounded,
    • scientific,
    • judicious.

    analytical (adjective)Other relevant words: (adjective)

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Словосочетания

Автоматический перевод

решение проблем

Перевод по словам

problem  — проблема, задача, вопрос, проблемный
solve  — решать, разрешать, растворять, оплатить, находить выход, объяснять

Примеры

She showed great resource at problem solving.

Она проявила большую изобретательность в разрешении проблем.

She gave us 20 mathematical problems to solve.

Она задала нам двадцать математических задач.

Does this mean that all our problems are solved?

Означает ли это, что все наши проблемы решены?

Our homework consisted of ten problems to solve.

Наша домашняя работа заключалась в решении десяти задач.

In mathematics, we use many techniques of problem-solving.

В математике мы используем множество способов решения задач.

I’ll be pushing up daisies before this problem is solved. *

Я быстрее коньки отброшу, прежде чем они решат эту проблему.

Примеры, отмеченные *, могут содержать сленг и разговорные фразы.

Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles.[1] Another classification is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for.[2] Similarly, one may distinguish formal or fact-based problems requiring psychometric intelligence, versus socio-emotional problems which depend on the changeable emotions of individuals or groups, such as tactful behavior, fashion, or gift choices.[3]

Solutions require sufficient resources and knowledge to attain the goal. Professionals such as lawyers, doctors, and consultants are largely problem solvers for issues which require technical skills and knowledge beyond general competence. Many businesses have found profitable markets by recognizing a problem and creating a solution: the more widespread and inconvenient the problem, the greater the opportunity to develop a scalable solution.

There are many specialized problem-solving techniques and methods in fields such as engineering, business, medicine, mathematics, computer science, philosophy, and social organization. The mental techniques to identify, analyze, and solve problems are studied in psychology and cognitive sciences. Additionally, the mental obstacles preventing people from finding solutions is a widely researched topic: problem solving impediments include confirmation bias, mental set, and functional fixedness.

Definition[edit]

The term problem solving has a slightly different meaning depending on the discipline. For instance, it is a mental process in psychology and a computerized process in computer science. There are two different types of problems: ill-defined and well-defined; different approaches are used for each. Well-defined problems have specific end goals and clearly expected solutions, while ill-defined problems do not. Well-defined problems allow for more initial planning than ill-defined problems.[2] Solving problems sometimes involves dealing with pragmatics, the way that context contributes to meaning, and semantics, the interpretation of the problem. The ability to understand what the end goal of the problem is, and what rules could be applied represents the key to solving the problem. Sometimes the problem requires abstract thinking or coming up with a creative solution.

Psychology[edit]

Problem solving in psychology refers to the process of finding solutions to problems encountered in life.[4] Solutions to these problems are usually situation or context-specific. The process starts with problem finding and problem shaping, where the problem is discovered and simplified. The next step is to generate possible solutions and evaluate them. Finally a solution is selected to be implemented and verified. Problems have an end goal to be reached and how you get there depends upon problem orientation (problem-solving coping style and skills) and systematic analysis.[5] Mental health professionals study the human problem solving processes using methods such as introspection, behaviorism, simulation, computer modeling, and experiment. Social psychologists look into the person-environment relationship aspect of the problem and independent and interdependent problem-solving methods.[6] Problem solving has been defined as a higher-order cognitive process and intellectual function that requires the modulation and control of more routine or fundamental skills.[7]

Problem solving has two major domains: mathematical problem solving and personal problem solving. Both are seen in terms of some difficulty or barrier that is encountered.[8] Empirical research shows many different strategies and factors influence everyday problem solving.[9][10][11] Rehabilitation psychologists studying individuals with frontal lobe injuries have found that deficits in emotional control and reasoning can be re-mediated with effective rehabilitation and could improve the capacity of injured persons to resolve everyday problems.[12] Interpersonal everyday problem solving is dependent upon the individual personal motivational and contextual components. One such component is the emotional valence of «real-world» problems and it can either impede or aid problem-solving performance. Researchers have focused on the role of emotions in problem solving,[13][14] demonstrating that poor emotional control can disrupt focus on the target task and impede problem resolution and likely lead to negative outcomes such as fatigue, depression, and inertia.[15] In conceptualization, human problem solving consists of two related processes: problem orientation and the motivational/attitudinal/affective approach to problematic situations and problem-solving skills. Studies conclude people’s strategies cohere with their goals[16] and stem from the natural process of comparing oneself with others.

Cognitive sciences[edit]

Among the first experimental psychologists to study problem solving were the Gestaltists in Germany, e.g., Karl Duncker in The Psychology of Productive Thinking (1935).[17] Perhaps best known is the work of Allen Newell and Herbert A. Simon.[18]

Experiments the 1960s and early 1970s asked participants to solve relatively simple, well-defined, but not previously seen laboratory tasks.[19][20] These simple problems, such as the Tower of Hanoi, admitted optimal solutions which could be found quickly, allowing observation of the full problem-solving process. Researchers assumed that these model problems would elicit the characteristic cognitive processes by which more complex «real world» problems are solved.

An outstanding problem solving technique found by this research is the principle of decomposition.[21]

Computer science[edit]

[icon]

This section needs expansion. You can help by adding to it. (September 2018)

Much of computer science and artificial intelligence involves designing automatic systems to solve a specified type of problem: to accept input data and calculate a correct or adequate response, reasonably quickly. Algorithms are recipes or instructions that direct such systems, written into computer programs.

Steps for designing such systems include problem determination, heuristics, root cause analysis, de-duplication, analysis, diagnosis, and repair. Analytic techniques include linear and nonlinear programming, queuing systems, and simulation.[22] A large, perennial obstacle is to find and fix errors in computer programs: debugging.

Logic[edit]

Formal logic is concerned with such issues as validity, truth, inference, argumentation and proof. In a problem-solving context, it can be used to formally represent a problem as a theorem to be proved, and to represent the knowledge needed to solve the problem as the premises to be used in a proof that the problem has a solution. The use of computers to prove mathematical theorems using formal logic emerged as the field of automated theorem proving in the 1950s. It included the use of heuristic methods designed to simulate human problem solving, as in the Logic Theory Machine, developed by Allen Newell, Herbert A. Simon and J. C. Shaw, as well as algorithmic methods such as the resolution principle developed by John Alan Robinson.

In addition to its use for finding proofs of mathematical theorems, automated theorem-proving has also been used for program verification in computer science. However, already in 1958, John McCarthy proposed the advice taker, to represent information in formal logic and to derive answers to questions using automated theorem-proving. An important step in this direction was made by Cordell Green in 1969, using a resolution theorem prover for question-answering and for such other applications in artificial intelligence as robot planning.

The resolution theorem-prover used by Cordell Green bore little resemblance to human problem solving methods. In response to criticism of his approach, emanating from researchers at MIT, Robert Kowalski developed logic programming and SLD resolution,[23] which solves problems by problem decomposition. He has advocated logic for both computer and human problem solving[24] and computational logic to improve human thinking[25]

Engineering[edit]

Problem solving is used when products or processes fail, so corrective action can be taken to prevent further failures. It can also be applied to a product or process prior to an actual failure event—when a potential problem can be predicted and analyzed, and mitigation applied to prevent the problem. Techniques such as failure mode and effects analysis can proactively reduce the likelihood of problems.

Forensic engineering is an important technique of failure analysis that involves tracing product defects and flaws. Corrective action can then be taken to prevent further failures.

Reverse engineering attempts to discover the original problem-solving logic used in developing a product by taking it apart.[26]

Military science[edit]

In military science, problem solving is linked to the concept of «end-states», the condition or situation which is the aim of the strategy.[27]: xiii, E-2  Ability to solve problems is important at any military rank, but is essential at the command and control level, where it results from deep qualitative and quantitative understanding of possible scenarios.[clarification needed] Effectiveness is evaluation of results, whether the goal was accomplished.[27]: IV-24  Planning is the process of determining how to achieve the goal.[27]: IV-1 

Processes[edit]

Some models of problem solving involve identifying a goal and then a sequence of subgoals towards achieving this goal. Andersson, who introduced the ACT-R model of cognition, modelled this collection of goals and subgoals as a goal stack, where the mind contains a stack of goals and subgoals to be completed with a single task being carried out at any time.[28]: 51 

It has been observed that knowledge of how to solve one problem can be applied to another problem, in a process known as transfer.[28]: 56 

Problem-solving strategies[edit]

Problem-solving strategies are steps to overcoming the obstacles to achieving a goal, the «problem-solving cycle».[29]

Common steps in this cycle include recognizing the problem, defining it, developing a strategy to fix it, organizing knowledge and resources available, monitoring progress, and evaluating the effectiveness of the solution. Once a solution is achieved, another problem usually arises, and the cycle starts again.

Insight is the sudden aha! solution to a problem, the birth of a new idea to simplify a complex situation. Solutions found through insight are often more incisive than those from step-by-step analysis. A quick solution process requires insight to select productive moves at different stages of the problem-solving cycle. Unlike Newell and Simon’s formal definition of a move problem, there is no consensus definition of an insight problem.[30][31][32]

Some problem-solving strategies include:[33]

  • Abstraction: solving the problem in a tractable model system to gain insight into the real system
  • Analogy: adapting the solution to a previous problem which has similar features or mechanisms
  • Brainstorming: (especially among groups of people) suggesting a large number of solutions or ideas and combining and developing them until an optimum solution is found
  • Critical thinking
  • Divide and conquer: breaking down a large, complex problem into smaller, solvable problems
  • Hypothesis testing: assuming a possible explanation to the problem and trying to prove (or, in some contexts, disprove) the assumption
  • Lateral thinking: approaching solutions indirectly and creatively
  • Means-ends analysis: choosing an action at each step to move closer to the goal
  • Morphological analysis: assessing the output and interactions of an entire system
  • Proof of impossibility: try to prove that the problem cannot be solved. The point where the proof fails will be the starting point for solving it
  • Reduction: transforming the problem into another problem for which solutions exist
  • Research: employing existing ideas or adapting existing solutions to similar problems
  • Root cause analysis: identifying the cause of a problem
  • Trial-and-error: testing possible solutions until the right one is found
  • Help-seeking

Problem-solving methods[edit]

  • Eight Disciplines Problem Solving
  • GROW model
  • How to Solve It
  • Lateral thinking
  • OODA loop (observe, orient, decide, and act)
  • PDCA (plan–do–check–act)
  • Root cause analysis
  • RPR problem diagnosis (rapid problem resolution)
  • TRIZ (Russian: теория решения изобретательских задач, romanized: teoriya resheniya izobretatelskikh zadatch, lit. ‘theory of inventive problem solving’)
  • A3 problem solving
  • System dynamics
  • Hive mind
  • Design Thinking
  • Help-seeking

Common barriers[edit]

Common barriers to problem solving are mental constructs that impede an efficient search for solutions. Five of the most common identified by researchers are: confirmation bias, mental set, functional fixedness, unnecessary constraints, and irrelevant information.

Confirmation bias[edit]

Confirmation bias is an unintentional tendency to collect and use data which favors preconceived notions. Such notions may be incidental rather than motivated by important personal beliefs: the desire to be right may be sufficient motivation.[34] Research has found that scientific and technical professionals also experience confirmation bias.

Andreas Hergovich, Reinhard Schott, and Christoph Burger’s experiment conducted online, for instance, suggested that professionals within the field of psychological research are likely to view scientific studies that agree with their preconceived notions more favorably than clashing studies.[35] According to Raymond Nickerson, one can see the consequences of confirmation bias in real-life situations, which range in severity from inefficient government policies to genocide. Nickerson argued that those who killed people accused of witchcraft demonstrated confirmation bias with motivation. Researcher Michael Allen found evidence for confirmation bias with motivation in school children who worked to manipulate their science experiments to produce favorable results.[36]

However, confirmation bias does not necessarily require motivation. In 1960, Peter Cathcart Wason conducted an experiment in which participants first viewed three numbers and then created a hypothesis that proposed a rule that could have been used to create that triplet of numbers. When testing their hypotheses, participants tended to only create additional triplets of numbers that would confirm their hypotheses, and tended not to create triplets that would negate or disprove their hypotheses.[37]

Mental set[edit]

Mental set is the inclination to re-use a previously successful solution, rather than search for new and better solutions. It is a reliance on habit.

It was first articulated by Abraham Luchins in the 1940s with his well-known water jug experiments.[38] Participants were asked to fill one jug with a specific amount of water using other jugs with different maximum capacities. After Luchins gave a set of jug problems that could all be solved by a single technique, he then introduced a problem that could be solved by the same technique, but also by a novel and simpler method. His participants tended to use the accustomed technique, oblivious of the simpler alternative.[39] This was again demonstrated in Norman Maier’s 1931 experiment, which challenged participants to solve a problem by using a familiar tool (pliers) in an unconventional manner. Participants were often unable to view the object in a way that strayed from its typical use, a type of mental set known as functional fixedness (see the following section).

Rigidly clinging to a mental set is called fixation, which can deepen to an obsession or preoccupation with attempted strategies that are repeatedly unsuccessful.[40] In the late 1990s, researcher Jennifer Wiley found that professional expertise in a field can create a mental set, perhaps leading to fixation.[40]

Groupthink, where each individual takes on the mindset of the rest of the group, can produce and exacerbate mental set.[41] Social pressure leads to everybody thinking the same thing and reaching the same conclusions.

Functional fixedness[edit]

Functional fixedness is the tendency to view an object as having only one function, unable to conceive of any novel use, as in the Maier pliers experiment above. Functional fixedness is a specific form of mental set, and is one of the most common forms of cognitive bias in daily life.

Tim German and Clark Barrett describe this barrier: «subjects become ‘fixed’ on the design function of the objects, and problem solving suffers relative to control conditions in which the object’s function is not demonstrated.»[42] Their research found that young children’s limited knowledge of an object’s intended function reduces this barrier[43] Research has also discovered functional fixedness in many educational instances, as an obstacle to understanding. Furio, Calatayud, Baracenas, and Padilla stated: «… functional fixedness may be found in learning concepts as well as in solving chemistry problems.»[44]

As an example, imagine a man wants to kill a bug in is house, but the only thing at hand is a can of air freshener. He may start searching for something to kill the bug instead of squashing it with the can, thinking only of its main function of deodorizing.

There are several hypotheses in regards to how functional fixedness relates to problem solving.[45] It may waste time, delaying or entirely preventing the correct use of a tool.

Unnecessary constraints[edit]

Unnecessary constraints are arbitrary boundaries imposed unconsciously on the task at hand, which foreclose a productive avenue of solution. The solver may become fixated on only one type of solution, as if it were an inevitable requirement of the problem. Typically, this combines with mental set, clinging to a previously successful method.[46]

Visual problems can also produce mentally invented constraints.[47] A famous example is the dot problem: nine dots arranged in a three-by-three grid pattern must be connected by drawing four straight line segments, without lifting pen from paper or backtracking along a line. The subject typically assumes the pen must stay within the outer square of dots, but the solution requires lines continuing beyond this frame, and researchers have found a 0% solution rate within a brief allotted time.[48]

This problem has produced the expression «think outside the box».[49] Such problems are typically solved via a sudden insight which leaps over the mental barriers, often after long toil against them.[50] This can be difficult depending on how the subject has structured the problem in their mind, how they draw on past experiences, and how well they juggle this information in their working memory. In the example, envisioning the dots connected outside the framing square requires visualizing an unconventional arrangement, a strain on working memory.[49]

Irrelevant information[edit]

Irrelevant information is a specification or data presented in a problem that is unrelated to the solution.[46] If the solver assumes that all information presented needs to be used, this often derails the problem solving process, making relatively simple problems much harder.[51]

For example: «Fifteen percent of the people in Topeka have unlisted telephone numbers. You select 200 names at random from the Topeka phone book. How many of these people have unlisted phone numbers?»[52] The «obvious» answer is 15%, but in fact none of the unlisted people would be listed among the 200. This kind of «trick question» is often used in aptitude tests or cognitive evaluations.[53] Though not inherently difficult, they require independent thinking that is not necessarily common. Mathematical word problems often include irrelevant qualitative or numerical information as an extra challenge.

Avoiding barriers by changing problem representation[edit]

The disruption caused by the above cognitive biases can depend on how the information is represented:[53] visually, verbally, or mathematically. A classic example is the Buddhist monk problem:

A Buddhist monk begins at dawn one day walking up a mountain, reaches the top at sunset, meditates at the top for several days until one dawn when he begins to walk back to the foot of the mountain, which he reaches at sunset. Making no assumptions about his starting or stopping or about his pace during the trips, prove that there is a place on the path which he occupies at the same hour of the day on the two separate journeys.

The problem cannot be addressed in a verbal context, trying to describe the monk’s progress on each day. It becomes much easier when the paragraph is represented mathematically by a function: one visualizes a graph whose horizontal axis is time of day, and whose vertical axis shows the monk’s position (or altitude) on the path at each time. Superimposing the two journey curves, which traverse opposite diagonals of a rectangle, one sees they must cross each other somewhere. The visual representation by graphing has resolved the difficulty.

Similar strategies can often improve problem solving on tests.[46][54]

Other barriers for individuals[edit]

Individual humans engaged in problem-solving tend to overlook subtractive changes, including those that are critical elements of efficient solutions. This tendency to solve by first, only or mostly creating or adding elements, rather than by subtracting elements or processes is shown to intensify with higher cognitive loads such as information overload.[55][56]

Dreaming: problem-solving without waking consciousness[edit]

Problem solving can also occur without waking consciousness. There are many reports of scientists and engineers who solved problems in their dreams. Elias Howe, inventor of the sewing machine, figured out the structure of the bobbin from a dream.[57]

The chemist August Kekulé was considering how benzene arranged its six carbon and hydrogen atoms. Thinking about the problem, he dozed off, and dreamt of dancing atoms that fell into a snakelike pattern, which led him to discover the benzene ring. As Kekulé wrote in his diary,

One of the snakes seized hold of its own tail, and the form whirled mockingly before my eyes. As if by a flash of lightning I awoke; and this time also I spent the rest of the night in working out the consequences of the hypothesis.[58]

There also are empirical studies of how people can think consciously about a problem before going to sleep, and then solve the problem with a dream image. Dream researcher William C. Dement told his undergraduate class of 500 students that he wanted them to think about an infinite series, whose first elements were OTTFF, to see if they could deduce the principle behind it and to say what the next elements of the series would be.[59] He asked them to think about this problem every night for 15 minutes before going to sleep and to write down any dreams that they then had. They were instructed to think about the problem again for 15 minutes when they awakened in the morning.

The sequence OTTFF is the first letters of the numbers: one, two, three, four, five. The next five elements of the series are SSENT (six, seven, eight, nine, ten). Some of the students solved the puzzle by reflecting on their dreams. One example was a student who reported the following dream:[59]

I was standing in an art gallery, looking at the paintings on the wall. As I walked down the hall, I began to count the paintings: one, two, three, four, five. As I came to the sixth and seventh, the paintings had been ripped from their frames. I stared at the empty frames with a peculiar feeling that some mystery was about to be solved. Suddenly I realized that the sixth and seventh spaces were the solution to the problem!

With more than 500 undergraduate students, 87 dreams were judged to be related to the problems students were assigned (53 directly related and 34 indirectly related). Yet of the people who had dreams that apparently solved the problem, only seven were actually able to consciously know the solution. The rest (46 out of 53) thought they did not know the solution.

Mark Blechner conducted this experiment and obtained results similar to Dement’s.[60] He found that while trying to solve the problem, people had dreams in which the solution appeared to be obvious from the dream, but it was rare for the dreamers to realize how their dreams had solved the puzzle. Coaxing or hints did not get them to realize it, although once they heard the solution, they recognized how their dream had solved it. For example, one person in that OTTFF experiment dreamed:[60]

There is a big clock. You can see the movement. The big hand of the clock was on the number six. You could see it move up, number by number, six, seven, eight, nine, ten, eleven, twelve. The dream focused on the small parts of the machinery. You could see the gears inside.

In the dream, the person counted out the next elements of the series – six, seven, eight, nine, ten, eleven, twelve – yet he did not realize that this was the solution of the problem. His sleeping mindbrain solved the problem, but his waking mindbrain was not aware how.

Albert Einstein believed that much problem solving goes on unconsciously, and the person must then figure out and formulate consciously what the mindbrain has already solved. He believed this was his process in formulating the theory of relativity: «The creator of the problem possesses the solution.»[61] Einstein said that he did his problem-solving without words, mostly in images. «The words or the language, as they are written or spoken, do not seem to play any role in my mechanism of thought. The psychical entities which seem to serve as elements in thought are certain signs and more or less clear images which can be ‘voluntarily’ reproduced and combined.»[62]

Cognitive sciences: two schools[edit]


In cognitive sciences, researchers’ realization that problem-solving processes differ across knowledge domains and across levels of expertise[63] and that, consequently, findings obtained in the laboratory cannot necessarily generalize to problem-solving situations outside the laboratory, has led to an emphasis on real-world problem solving since the 1990s. This emphasis has been expressed quite differently in North America and Europe, however. Whereas North American research has typically concentrated on studying problem solving in separate, natural knowledge domains, much of the European research has focused on novel, complex problems, and has been performed with computerized scenarios.[64]

Europe[edit]

In Europe, two main approaches have surfaced, one initiated by Donald Broadbent[65][66] in the United Kingdom and the other one by Dietrich Dörner[67][68][69] in Germany. The two approaches share an emphasis on relatively complex, semantically rich, computerized laboratory tasks, constructed to resemble real-life problems. The approaches differ somewhat in their theoretical goals and methodology, however. The tradition initiated by Broadbent emphasizes the distinction between cognitive problem-solving processes that operate under awareness versus outside of awareness, and typically employs mathematically well-defined computerized systems. The tradition initiated by Dörner, on the other hand, has an interest in the interplay of the cognitive, motivational, and social components of problem solving, and utilizes very complex computerized scenarios that contain up to 2,000 highly interconnected variables.[70][71]

North America[edit]

In North America, initiated by the work of Herbert A. Simon on «learning by doing» in semantically rich domains,[72][73] researchers began to investigate problem solving separately in different natural knowledge domains – such as physics, writing, or chess playing – thus relinquishing their attempts to extract a global theory of problem solving.[74] Instead, these researchers have frequently focused on the development of problem solving within a certain domain, that is on the development of expertise.[75][76][77]

Areas that have attracted rather intensive attention in North America include:

  • Reading[78]
  • Writing[79]
  • Calculation[80]
  • Political decision making[81]
  • Managerial problem solving[82]
  • Lawyers’ reasoning[83]
  • Mechanical problem solving[84]
  • Problem solving in electronics[85]
  • Computer skills[86]
  • Game playing[87]
  • Personal problem solving[88]
  • Mathematical problem solving[89][90]
  • Social problem solving[13][14]
  • Problem solving for innovations and inventions: TRIZ[91]

Characteristics of complex problems[edit]

Complex problem solving (CPS) is distinguishable from simple problem solving (SPS). When dealing with SPS there is a singular and simple obstacle in the way. But CPS comprises one or more obstacles at a time. In a real-life example, a surgeon at work has far more complex problems than an individual deciding what shoes to wear. As elucidated by Dietrich Dörner, and later expanded upon by Joachim Funke, complex problems have some typical characteristics as follows:[1]

  • Complexity (large numbers of items, interrelations and decisions)
  • enumerability
  • heterogeneity
  • connectivity (hierarchy relation, communication relation, allocation relation)
  • Dynamics (time considerations)
    • temporal constraints
    • temporal sensitivity
    • phase effects
    • dynamic unpredictability
  • Intransparency (lack of clarity of the situation)
    • commencement opacity
    • continuation opacity
  • Polytely (multiple goals)[92]
    • inexpressivenes
    • opposition
    • transience

Collective problem solving[edit]

Problem solving is applied on many different levels − from the individual to the civilizational. Collective problem solving refers to problem solving performed collectively.

Social issues and global issues can typically only be solved collectively.

It has been noted that the complexity of contemporary problems has exceeded the cognitive capacity of any individual and requires different but complementary expertise and collective problem solving ability.[93]

Collective intelligence is shared or group intelligence that emerges from the collaboration, collective efforts, and competition of many individuals.

Collaborative problem solving is about people working together face-to-face or in online workspaces with a focus on solving real world problems. These groups are made up of members that share a common concern, a similar passion, and/or a commitment to their work. Members are willing to ask questions, wonder, and try to understand common issues. They share expertise, experiences, tools, and methods.[94] These groups can be assigned by instructors, or may be student regulated based on the individual student needs. The groups, or group members, may be fluid based on need, or may only occur temporarily to finish an assigned task. They may also be more permanent in nature depending on the needs of the learners. All members of the group must have some input into the decision-making process and have a role in the learning process. Group members are responsible for the thinking, teaching, and monitoring of all members in the group. Group work must be coordinated among its members so that each member makes an equal contribution to the whole work. Group members must identify and build on their individual strengths so that everyone can make a significant contribution to the task.[95] Collaborative groups require joint intellectual efforts between the members and involve social interactions to solve problems together. The knowledge shared during these interactions is acquired during communication, negotiation, and production of materials.[96] Members actively seek information from others by asking questions. The capacity to use questions to acquire new information increases understanding and the ability to solve problems.[97] Collaborative group work has the ability to promote critical thinking skills, problem solving skills, social skills, and self-esteem. By using collaboration and communication, members often learn from one another and construct meaningful knowledge that often leads to better learning outcomes than individual work.[98]

In a 1962 research report, Douglas Engelbart linked collective intelligence to organizational effectiveness, and predicted that pro-actively ‘augmenting human intellect’ would yield a multiplier effect in group problem solving: «Three people working together in this augmented mode [would] seem to be more than three times as effective in solving a complex problem as is one augmented person working alone».[99]

Henry Jenkins, a key theorist of new media and media convergence draws on the theory that collective intelligence can be attributed to media convergence and participatory culture.[100] He criticizes contemporary education for failing to incorporate online trends of collective problem solving into the classroom, stating «whereas a collective intelligence community encourages ownership of work as a group, schools grade individuals». Jenkins argues that interaction within a knowledge community builds vital skills for young people, and teamwork through collective intelligence communities contributes to the development of such skills.[101]

Collective impact is the commitment of a group of actors from different sectors to a common agenda for solving a specific social problem, using a structured form of collaboration.

After World War II the UN, the Bretton Woods organization and the WTO were created; collective problem solving on the international level crystallized around these three types of organizations from the 1980s onward. As these global institutions remain state-like or state-centric it has been called unsurprising that these continue state-like or state-centric approaches to collective problem-solving rather than alternative ones.[102]

Crowdsourcing is a process of accumulating the ideas, thoughts or information from many independent participants, with aim to find the best solution for a given challenge. Modern information technologies allow for massive number of subjects to be involved as well as systems of managing these suggestions that provide good results.[103][104] With the Internet a new capacity for collective, including planetary-scale, problem solving was created.[105]

See also[edit]

  • Actuarial science
  • Analytical skill
  • Creative problem-solving
  • Collective intelligence
  • Community of practice
  • Coworking
  • Crowdsolving
  • Divergent thinking
  • Grey problem
  • Innovation
  • Instrumentalism
  • Problem statement
  • Problem structuring methods
  • Psychedelics in problem-solving experiment
  • Structural fix
  • Subgoal labeling
  • Troubleshooting
  • Wicked problem

Notes[edit]

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Further reading[edit]

  • Beckmann, J. F., & Guthke, J. (1995). Complex problem solving, intelligence, and learning ability. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 177-200). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Brehmer, B. (1995). Feedback delays in dynamic decision making. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 103-130). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Brehmer, B., & Dörner, D. (1993). Experiments with computer-simulated microworlds: Escaping both the narrow straits of the laboratory and the deep blue sea of the field study. Computers in Human Behavior, 9, 171-184.
  • Dörner, D. (1992). Über die Philosophie der Verwendung von Mikrowelten oder «Computerszenarios» in der psychologischen Forschung [On the proper use of microworlds or «computer scenarios» in psychological research]. In H. Gundlach (Ed.), Psychologische Forschung und Methode: Das Versprechen des Experiments. Festschrift für Werner Traxel (pp. 53-87). Passau, Germany: Passavia-Universitäts-Verlag.
  • Eyferth, K.; Schömann, M.; Widowski, D. (1986). «Der Umgang von Psychologen mit Komplexität» [On how psychologists deal with complexity]. Sprache & Kognition (in German). 5: 11–26.
  • Funke, J. (1993). Microworlds based on linear equation systems: A new approach to complex problem solving and experimental results. In G. Strube & K.-F. Wender (Eds.), The cognitive psychology of knowledge (pp. 313-330). Amsterdam: Elsevier Science Publishers.
  • Funke, J. (1995). Experimental research on complex problem solving. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 243-268). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Funke, U. (1995). Complex problem solving in personnel selection and training. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 219-240). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Groner, M., Groner, R., & Bischof, W. F. (1983). Approaches to heuristics: A historical review. In R. Groner, M. Groner, & W. F. Bischof (Eds.), Methods of heuristics (pp. 1-18). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Hayes, J. (1980). The complete problem solver. Philadelphia: The Franklin Institute Press.
  • Huber, O. (1995). Complex problem solving as multistage decision making. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 151-173). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Hübner, R. (1989). Methoden zur Analyse und Konstruktion von Aufgaben zur kognitiven Steuerung dynamischer Systeme [Methods for the analysis and construction of dynamic system control tasks]. Zeitschrift für Experimentelle und Angewandte Psychologie, 36, 221-238.
  • Hunt, E. (1991). Some comments on the study of complexity. In R. J. Sternberg, & P. A. Frensch (Eds.), Complex problem solving: Principles and mechanisms (pp. 383-395). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Hussy, W. (1985). Komplexes Problemlösen — Eine Sackgasse? [Complex problem solving — a dead end?]. Zeitschrift für Experimentelle und Angewandte Psychologie, 32, 55-77.
  • Kluwe, R. H. (1993). «Chapter 19 Knowledge and Performance in Complex Problem Solving». The Cognitive Psychology of Knowledge. Advances in Psychology. Vol. 101. pp. 401–423. doi:10.1016/S0166-4115(08)62668-0. ISBN 9780444899422.
  • Kluwe, R. H. (1995). Single case studies and models of complex problem solving. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 269-291). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Kolb, S., Petzing, F., & Stumpf, S. (1992). Komplexes Problemlösen: Bestimmung der Problemlösegüte von Probanden mittels Verfahren des Operations Research ? ein interdisziplinärer Ansatz [Complex problem solving: determining the quality of human problem solving by operations research tools — an interdisciplinary approach]. Sprache & Kognition, 11, 115-128.
  • Krems, J. F. (1995). Cognitive flexibility and complex problem solving. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European Perspective (pp. 201-218). Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Müller, H. (1993). Komplexes Problemlösen: Reliabilität und Wissen [Complex problem solving: Reliability and knowledge]. Bonn, Germany: Holos.
  • Paradies, M.W., & Unger, L. W. (2000). TapRooT — The System for Root Cause Analysis, Problem Investigation, and Proactive Improvement. Knoxville, TN: System Improvements.
  • Putz-Osterloh, Wiebke (1993). «Chapter 15 Strategies for Knowledge Acquisition and Transfer of Knowledge in Dynamic Tasks». The Cognitive Psychology of Knowledge. Advances in Psychology. Vol. 101. pp. 331–350. doi:10.1016/S0166-4115(08)62664-3. ISBN 9780444899422.
  • Riefer, D.M., & Batchelder, W.H. (1988). Multinomial modeling and the measurement of cognitive processes. Psychological Review, 95, 318-339.
  • Schaub, H. (1993). Modellierung der Handlungsorganisation. Bern, Switzerland: Hans Huber.
  • Strauß, B. (1993). Konfundierungen beim Komplexen Problemlösen. Zum Einfluß des Anteils der richtigen Lösungen (ArL) auf das Problemlöseverhalten in komplexen Situationen [Confoundations in complex problem solving. On the influence of the degree of correct solutions on problem solving in complex situations]. Bonn, Germany: Holos.
  • Strohschneider, S. (1991). Kein System von Systemen! Kommentar zu dem Aufsatz «Systemmerkmale als Determinanten des Umgangs mit dynamischen Systemen» von Joachim Funke [No system of systems! Reply to the paper «System features as determinants of behavior in dynamic task environments» by Joachim Funke]. Sprache & Kognition, 10, 109-113.
  • Tonelli M. (2011). Unstructured Processes of Strategic Decision-Making. Saarbrücken, Germany: Lambert Academic Publishing. ISBN 978-3-8465-5598-9
  • Van Lehn, K. (1989). Problem solving and cognitive skill acquisition. In M. I. Posner (Ed.), Foundations of cognitive science (pp. 527-579). Cambridge, MA: MIT Press.
  • Wisconsin Educational Media Association. (1993). «Information literacy: A position paper on information problem-solving.» Madison, WI: WEMA Publications. (ED 376 817). (Portions adapted from Michigan State Board of Education’s Position Paper on Information Processing Skills, 1992).

External links[edit]

  • Learning materials related to Solving Problems at Wikiversity

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