How to Solve A Problem: Insights for Critical Thinking, Problem-Solving, and Success in College
- Length: 126 pages
- Edition: 1
- Language: English
- Publisher: CRC Press
- Publication Date: 2023-04-25
- ISBN-10: 1032203617
- ISBN-13: 9781032203614
- Sales Rank: #7376311 (See Top 100 Books)
This concise and accessible resource offers new college students, especially those in science degree programs, guidance on engaging successfully with the classroom experience and skillfully tackling technical or scientific questions. The author provides insights on identifying, from the outset, individual markers for what success in college will look like for students, how to think about the engagement with professors as a partnership, and how to function effectively in that partnership toward achieving their pre-defined goals or markers of success. It is an ideal companion for science degree prospects and first-generation students seeking insight into the college experience.
- Offers transferable problem-solving ideas and skills applicable for other disciplines and future careers.
- Provides new students with support and inspiration for their college experience.
- Includes guidance for successful interactions with professors, peers, professionals, and others.
- Encourages thoughtful determination of desired outcomes from the college experience and shaping one’s actions toward accomplishing those objectives.
Cover Endorsements Half Title Title Copyright Dedication Contents Preface Acknowledgments Author Biography 1 On Encountering a Problem What Is a Problem? The Right to Propose a Problem The Implicit Faculty Commitment The Responsibility of the Problem Solver The Student’s Personal Commitment Preparing for Problems Patience, Persistence, and Problem-Solving Knowing ≤ (The Battle)/2 To Take on a Problem What’s Really a Blessing? 2 The Logic of the Problem: Good Thinking and Its Rewards Subject-Independent Logic (Subject-Specific Laws) Scientific Laws ‘Do’ Nothing General Logical Ideas in Science The Logic of Limiting Factors The Logic of Amounts Units – The Basics Units and Meaning Logic above Memorization Reading a Chemical Formula – Not Only for Chemists 3 Solutions in Words: Answering Short Answer Questions Symbols and Words Short Answers in Words 4 Making Textbooks Pay 5 Solutions in Numbers: Basic Mathematical Procedures Some Mathematical Reminders (1) Algebraic Manipulations and Some Useful Math Relations (2) Trigonometric Ideas Beyond Triangles (3) Other Interesting Relationships and Definitions Helpful Definitions and Quantities More Emphasis on Logarithms and Powers Linear (Straight-Line) Equations Quadratic Equations Graphical Representations of Experimental Data Simultaneous Equations Option 1 – The Exponential Form:A= Aoe-kt Option 2 – The Straight Line Form: ln(A) = ln(Ao) – kt An Extra Example A Word on Matrices On the Shapes of Things Circles, Cylinders, and Spheres Triangles and (Triangular) Prisms Rectangles and Cuboids Layer upon Layer A Fun Illustration from Shapes Stay the Course 6 Practical Solutions: Science in the Laboratory Why Experiments Matter Approaching Laboratory Activities Insist on High Standards of Logic and Reasoning Be Willing to Think Independently and Take on New Challenges An Appreciation of Errors Another Suggestion to Keep in Mind The Unknown Possibilities Ethical Engagement 7 Spreading the Word Preparing Papers Writing Abstracts Preparing Posters Preparing Talks 8 Persisting against Problems Mindset and Anxiety about Belonging Thoughts on Managing the Demands Avoid Overcommitment Get a Calendar Sleep – Eat Well – Exercise Nurture Good Friendships Be Good to Others Remember Why You Are in College Be Gracious and Forgiving Celebrate On to the Next Problem Appendix I Additional Notes on Matrices and Matrix Algebra Appendix II Thinking about Vectors: Basic Notes Appendix III Safe Problem-Solving Index
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