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Mastering Idea Development Through the Derivation Method

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Chapter 1: Understanding the Derivation Method

In this article, we explore a practical approach to developing ideas, drawing inspiration from the structure of mathematical proofs.

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Section 1.1: The Relevance of Derivation

Many of us have struggled with complex concepts, particularly during our school years. For instance, I nearly flunked Geometry in high school due to my inability to comprehend geometric proofs. Those convoluted problems, like proving the congruence of triangles based on intersecting lines, left me bewildered. I often found myself questioning the very nature of proof—what it entailed and how to approach it.

Fortunately, over the past two decades, I've discovered a systematic strategy derived from mathematical proofs that can be applied to various aspects of life, which I term the "derivation method."

Who benefits from this method? Thinkers, writers, marketers, engineers, salespeople, creators, educators, and planners—essentially, everyone.

What advantages does it offer?

  • Accelerated idea development
  • Enhanced clarity in processes and results
  • Logical reasoning
  • Swift testing of concepts
  • User-friendly approach

Section 1.2: Steps of the Derivation Method

Step 1: Define Your Endpoint

What is the core message of your article? What is the conclusion of your journey? By identifying your endpoint, you establish a clear target—whether it's something to prove, achieve, teach, or create.

Step 2: Assess Your Starting Point

What is your initial position? Where does your narrative commence? Identifying the facts and axioms at your disposal clarifies the landscape you will navigate.

Step 3: Progress Incrementally Using Relevant Guidelines

This stage is where the actual work begins. What are the established rules for moving through your domain? For instance:

  • In formal proofs, logical rules ensure deductive validity.
  • Legal professionals adhere to statutes, precedents, and procedures.
  • Writers follow genre conventions, storytelling techniques, and cultural norms.
  • Educators focus on pedagogical strategies, audience engagement, and reasoning.
  • Designers must consider materials, trends, and market demands.

Each domain has its unique set of rules, presenting opportunities for creativity and innovation based on how these rules intersect.

Chapter 2: Practical Examples of the Derivation Method

The first video titled "Fleshing Out STORY IDEAS by Plumbing the PROMISE OF THE PREMISE" illustrates how to develop story concepts thoroughly. It provides insights into transforming basic ideas into engaging narratives.

The second video, "How Can You Flesh Out Your Story's Prose?" delves into crafting compelling prose, emphasizing techniques for enriching narrative style and substance.

Simple Example: Choosing an Outfit

End Goal: Find a clean, comfortable, and appealing outfit.

Starting Point:

  1. Check tomorrow's weather.
  2. Identify available clothing options.

Rules: Given my meeting with Janice, I need to appear semi-professional. I must avoid wearing jackets that don't fit and any unwashed items. I’ll also favor darker colors to enhance my appearance.

This method continues until I discover an outfit that meets my criteria.

Educational Example: Explaining Grass Growth

Endpoint Goal: Help students grasp why grass grows after being cut.

Starting Point:

What do students currently understand? They may not have considered this before.

To explain:

  • How plants grow
  • Structure of various plants, particularly grass

By breaking down these concepts using biological reasoning, we can effectively teach why grass continues to grow after mowing while other plants do not.

The Power of the Derivation Method

The simplicity of this method underscores its potential in complex scenarios—whether developing narratives, business plans, or creative projects. By starting with the end goal, assessing initial conditions, and applying relevant rules, we can navigate the intricacies of various endeavors.

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This article was published on June 15th, 2024, in Long. Sweet. Valuable. publication.

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