7.2 - Theories of Thinking and Problem Solving
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Interactive Audio Lesson
Listen to a student-teacher conversation explaining the topic in a relatable way.
Information Processing Model
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Today, let's talk about the Information Processing Model. This model describes thinking as a series of steps: encoding, storage, and retrieval. Can anyone tell me what they think encoding means?
Isn't encoding about gathering and organizing information?
Exactly! Encoding is all about taking in information and structuring it for understanding. Now, what comes after encoding?
Storage, right? That's when we hold the information.
Correct! Storage allows us to keep that information for later use. Finally, what do we do to access this information?
We retrieve it when we need it!
Exactly! So remember the acronym **E-S-R** for Encoding, Storage, and Retrieval. This model helps us understand how our mind works when processing information.
Algorithms vs. Heuristics
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Now let's move on to algorithms and heuristics. Who can tell me what an algorithm is?
An algorithm is a step-by-step procedure that always leads to a correct solution.
That's right! Algorithms are thorough but can be time-consuming. Can someone give an example of an algorithm?
Like using a formula to solve a math problem.
Great example! Now, what about heuristics? How do they differ?
Heuristics are shortcuts we use to make decisions faster, but they don’t always guarantee a correct answer.
Exactly! They’re useful, but can lead to errors. Remember: **A-H** for Algorithm is thorough, and **H** for Heuristic is a shortcut.
Types of Problem Solving
🔒 Unlock Audio Lesson
Sign up and enroll to listen to this audio lesson
Let's discuss types of problems. Can anyone tell me what a well-defined problem is?
It’s a problem with a clear goal and known steps!
Exactly! What’s an example of a well-defined problem?
Solving a math equation!
Exactly. Now, what about ill-defined problems? What do we know about them?
They don’t have clear solutions and can be ambiguous.
Correct! An example would be deciding on a career. Remember, **WD vs. ID**: Well-defined is clear, Ill-defined is vague.
Introduction & Overview
Read summaries of the section's main ideas at different levels of detail.
Quick Overview
Standard
In this section, we delve into the information processing model, which describes thinking as a series of stages such as encoding, storage, and retrieval. We also differentiate between algorithms and heuristics in problem solving and categorize problems into well-defined and ill-defined types, highlighting their significance in real-world contexts.
Detailed
Theories of Thinking and Problem Solving
This section elaborates on the theoretical frameworks that explain how we think and approach problem-solving. At the core is the Information Processing Model, which suggests that thinking is a structured process involving several stages: encoding (gathering and organizing information), storage (holding that information), and retrieval (accessing it when necessary). Understanding this model allows us to appreciate the cognitive processes behind decision-making.
We also explore two critical strategies in problem-solving: algorithms and heuristics. Algorithms are systematic, step-by-step procedures that guarantee a solution, whereas heuristics are mental shortcuts that expedite problem solving but do not ensure accuracy.
The section further categorizes problems into well-defined problems, which have clear goals and solutions (e.g., math equations), and ill-defined problems, which lack clarity and can involve personal or ethical dilemmas (e.g., career choices). This differentiation is crucial as it impacts the strategies we use in our problem-solving efforts.
Youtube Videos
Audio Book
Dive deep into the subject with an immersive audiobook experience.
Information Processing Model
Chapter 1 of 4
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
The information processing model suggests that thinking is a process of receiving input, organizing it, and processing it to reach a conclusion or solution.
The process is divided into several stages:
1. Encoding: Gathering and organizing information.
2. Storage: Holding the information for future use.
3. Retrieval: Accessing and applying the stored information when needed.
Detailed Explanation
The Information Processing Model describes how we think as a series of steps much like a computer processes data. It starts with encoding, where we gather and organize new information. Next, we store this information, keeping it safe until we need it again. Finally, when we need to use this information, we retrieve it, pulling it from our memory to help us think or solve problems. This model emphasizes that thinking is active and systematic, involving multiple stages that help refine our understanding and conclusions.
Examples & Analogies
Imagine you are preparing for a trivia quiz. First, you gather information from books and websites (encoding). Then you memorize the facts you think will be important for the quiz (storage). Lastly, when the quiz starts, you remember and use that stored information to answer questions (retrieval). This whole process mirrors what the Information Processing Model describes.
Algorithms in Problem Solving
Chapter 2 of 4
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
An algorithm is a step-by-step procedure that guarantees a correct solution to a problem. It is thorough and exhaustive but can be time-consuming.
Example: Solving a math problem using a formula or method.
Detailed Explanation
An algorithm is a clearly defined set of steps to solve a problem. It's like following a recipe in cooking: if you follow it correctly, you'll get the intended dish. For example, in a math class, you might use an algorithm to solve equations by applying specific rules and formulas. However, because algorithms can involve many steps, they may take longer to use than other approaches.
Examples & Analogies
Think of building furniture with a manual. If you follow each step in order, you will successfully create the furniture piece. This method, like an algorithm, ensures you won't miss any important steps, although it may require more time than just trying to figure it out on your own.
Heuristics in Problem Solving
Chapter 3 of 4
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
A heuristic is a mental shortcut or rule of thumb used to make decisions or solve problems quickly, but it does not guarantee a correct solution.
Example: Using "trial and error" or "working backwards" to solve a problem.
Detailed Explanation
Heuristics are strategies that allow us to make quick judgments or decisions based on limited information. Unlike algorithms, which guarantee a correct solution, heuristics rely on our experience and intuition to find a solution faster, but they can sometimes lead us astray. For example, if you're trying to find your way in a new city, you might try getting to know it by recognizing landmarks instead of studying a map exhaustively.
Examples & Analogies
When looking for your lost keys, you might first check the last place you remember having them instead of searching every possible location. This is an example of using a heuristic, where you use past experiences to guide your search.
Types of Problem Solving
Chapter 4 of 4
🔒 Unlock Audio Chapter
Sign up and enroll to access the full audio experience
Chapter Content
- Well-Defined Problems:
- Problems with clear goals, defined steps, and known solutions (e.g., mathematical problems or puzzles).
- Example: Solving an equation in mathematics.
- Ill-Defined Problems:
- Problems that do not have clear solutions or defined steps, and often involve ambiguity or uncertainty (e.g., personal decisions or ethical dilemmas).
- Example: Deciding on a career path or resolving a moral conflict.
Detailed Explanation
Problem-solving can be classified into two main types: well-defined and ill-defined problems. Well-defined problems have clear parameters; you know what the goal is and the steps needed to reach that goal, like a math problem where you have a specific answer to find. On the other hand, ill-defined problems lack clear solutions or steps, requiring deeper thinking and more subjective evaluation, like choosing a career path where many factors are involved and uncertain.
Examples & Analogies
Imagine preparing for a multiple-choice exam; that's a well-defined problem, as you can study specific materials and practice questions. Conversely, deciding which college to attend represents an ill-defined problem; many factors to consider might include location, cost, academic programs, and your personal interests, with no straightforward answer.
Key Concepts
-
Information Processing Model: A framework that outlines how information is received, organized, and processed.
-
Algorithms: Detailed step-by-step methods that lead to correct answers.
-
Heuristics: Mental shortcuts that help in decision-making but may not ensure accuracy.
-
Well-Defined Problems: Problems with set solutions and clear processes.
-
Ill-Defined Problems: Problems that are ambiguous with no clear solution.
Examples & Applications
An example of an algorithm is using a specific formula to solve a quadratic equation.
An ill-defined problem example is determining how to transition careers from one field to another.
Memory Aids
Interactive tools to help you remember key concepts
Rhymes
In thinking there's a way, E-S-R will save the day; encoding, store for future stay, retrieval helps us find the way.
Stories
Imagine a detective on a case. First, they gather clues (encoding), then keep these clues in a notebook (storage), and when it’s time to solve the mystery, they refer back to the notes (retrieval). That's how we think!
Memory Tools
Remember A-H - Algorithm, thorough and safe; Heuristic, fast but may misplace!
Acronyms
Use **WD vs. ID** to remember Well-defined is clear, while Ill-defined brings fear.
Flash Cards
Glossary
- Information Processing Model
A model that describes thinking as a process involving encoding, storage, and retrieval of information.
- Algorithm
A step-by-step procedure that guarantees the correct solution to a problem.
- Heuristic
A mental shortcut that allows for quick decision-making but does not guarantee a correct solution.
- WellDefined Problem
A problem with clear goals and known solutions.
- IllDefined Problem
A problem that lacks clear solutions or methods, often involving ambiguity.
Reference links
Supplementary resources to enhance your learning experience.