Problem Solving Course Overview

The central theme of Module 2 is the role of algorithms in problem solving.

The three units in Module 1 are Roadmap to Solving Problems, The Problem Solving Process, and Computational Approaches to Problem Solving.

Module 3 focuses on implementation strategies, including recursion, control structures, and testing and debugging.

<p>Flowcharts serve as a graphical representation of the steps involved in an algorithm, aiding in visual understanding.</p> Signup and view all the answers

<p>Computational approaches discussed include various strategies for solving common real-life problems.</p> Signup and view all the answers

<p>Abstraction is emphasized as a logical representation of ideas that aids in problem solving.</p> Signup and view all the answers

<p>Learners should avail themselves of opportunities to compare their knowledge with that of others.</p> Signup and view all the answers

<p>One key strategy discussed is the use of typical problem-solving techniques, such as brainstorming ideas.</p> Signup and view all the answers

<p>Recursive solutions involve breaking down a problem into smaller sub-problems that follow the same solving procedures.</p> Signup and view all the answers

<p>Non-recursive solutions identify regularities in problem-solving procedures rather than breaking the problem down into smaller sub-problems.</p> Signup and view all the answers

<p>In odd moves, the smallest disk is involved, and its movements give insight into the placement of other disks.</p> Signup and view all the answers

<p>Binary notation assigns a bit to each disk, where the leftmost bit indicates the largest disk's position.</p> Signup and view all the answers

<p>Graphical representations visually model conditions and simplify the understanding of complex solutions.</p> Signup and view all the answers

<p>Reflecting on past experiences helps identify previously effective strategies and adapt them to current problems.</p> Signup and view all the answers

<p>A pyramid-shaped graph clearly displays different disk distributions and the legal moves between them.</p> Signup and view all the answers

<p>The four conditions are: initial situation, goal, applicable set of resources, and commitment to using one's resources.</p> Signup and view all the answers

<p>Legal moves adhere to the specific rules governing how disks can be moved between pegs without violating any established constraints.</p> Signup and view all the answers

<p>If one or more components are missing, the problem is considered ill-defined.</p> Signup and view all the answers

<p>In problem solving, 'goal' refers to the desired outcome that one aims to achieve.</p> Signup and view all the answers

<p>Resources provide the necessary means or tools that assist in transitioning from the initial situation to the desired goal.</p> Signup and view all the answers

<p>Critical thinking involves cognitive skills or strategies that enhance the likelihood of achieving a desirable outcome.</p> Signup and view all the answers

<p>Limitations may include rules, regulations, and guidelines that dictate permissible actions.</p> Signup and view all the answers

<p>It implies a willingness to invest personal knowledge, skills, and energy towards achieving the goal.</p> Signup and view all the answers

<p>Identifying the initial situation provides a clear starting point from which to assess needs and devise strategies.</p> Signup and view all the answers

<p>Identifying the problem, determining its root causes, deciding on a course of action, and implementing the solution.</p> Signup and view all the answers

<p>The right technique influences the effectiveness of the solution and is dependent on the individual's experience and resourcefulness.</p> Signup and view all the answers

<p>Trial and error, and algorithms.</p> Signup and view all the answers

<p>Resourcefulness allows individuals to adapt and select appropriate techniques based on the situation.</p> Signup and view all the answers

<p>Algorithms provide systematic procedures for solving problems efficiently.</p> Signup and view all the answers

<p>Means-ends-analysis is a technique that involves breaking down a problem into smaller, manageable parts to find solutions.</p> Signup and view all the answers

<p>Experience informs individuals about which techniques have been successful in similar situations.</p> Signup and view all the answers

<p>Trial and error involves trying various solutions to see which one works and learning from failed attempts.</p> Signup and view all the answers

<p>The main goal is to produce an efficient solution.</p> Signup and view all the answers

<p>Recursion and modularisation.</p> Signup and view all the answers

<p>They test learners on the materials covered and help reinforce their understanding.</p> Signup and view all the answers

<p>30%.</p> Signup and view all the answers

<p>Submit all assignments by the stipulated time and date.</p> Signup and view all the answers

<p>Self-assessment exercises, tutor-marked assignments, and written examination.</p> Signup and view all the answers

<p>To ensure that the presented solution not only works but is guaranteed to work.</p> Signup and view all the answers

<p>About three hours.</p> Signup and view all the answers

<p>Grades can be represented as whole numbers, real numbers (like 73.42), or letter grades (like A to F).</p> Signup and view all the answers

<p>We need to decide whether to include the absent students as having received a grade of 0 or to ignore them when calculating the average.</p> Signup and view all the answers

<p>The model is given by the formula $Average_1 = \frac{x_1 + x_2 + x_3 + ... + x_n}{n}$, where $n$ is the number of grades.</p> Signup and view all the answers

<p>Because addition and division cannot be performed on letter grades as they are non-numerical.</p> Signup and view all the answers

<p>Outputs could be presented as whole numbers, real numbers, or graphical formats like a pie chart.</p> Signup and view all the answers

<p>It is crucial to fully understand the type and format of the available input data.</p> Signup and view all the answers

<p>The challenge is that a defined method for converting letter grades into a numerical format is necessary for computations.</p> Signup and view all the answers

<p>One should consider the format of the grades, any missing data, and what output is expected.</p> Signup and view all the answers