Basics

MATHEMATIC SYMBOLICS
MATHEMATIC OPERATIONS

META templates:

Maths philosophy
Plan for learning Maths
Full Math MM|
Math Exam Problem-solving

ACTUAL template

Mathbase (Private Questionbase available upon request)

My Math I/O Process:

** Input/Output: Static**

Input (Learning/Formulating)

• Chunking: Break problems into smaller, familiar components (e.g., factor equations).
• Visualization: Use diagrams (graphs, geometric figures) to ground abstract concepts.
• Analogies: Map new concepts to known ones (e.g., derivatives as slopes).
• Interleaving: Mix topics (algebra + geometry) to foster flexible thinking.
• Active Recall: Test understanding by rederiving formulas without notes.

Output Strategies (Communication/Application)

• Precision: Define all terms (e.g., "Let XX be a random variable...").
• Notation Hygiene: Avoid ambiguous symbols (e.g., overloaded ∗∗).
• Stepwise Proofs: Structure arguments linearly (Lemma → Theorem → Corollary).
• Dimensional Analysis: Check units (e.g., m/s2m/s2 for acceleration).
• Peer Review: Submit work to scrutiny (e.g., preprint servers, study groups).

The ADEPT Method (Analogy, Diagram, Example, Plain-English, Technical Definition

1. Analogy: Relate to something familiar
2. Diagram: Create visual representation
3. Example: Concrete walkthrough
4. Plain English: Describe in simple terms
5. Technical Definition: Formalize with proper terminology