What is the only scientific way to learn mathematics (According to neuroscience)?
There are Two Modes of Learning: The focus mode and diffused mode.
The two different neural networks we access when perceiving things and how they affect learning.
## Focus Mode vs. Diffuse Mode
- When we first sit down to learn something, we activate task-positive networks in our brain.
- However, this isn't always the right circuit to understand and comprehend the material.
- When we get frustrated, we activate a completely different set of neural circuits called the default mode network.
- This background-processing occurs when we stop thinking about it and relax, such as going for a walk or taking a shower.
- Learning involves going back and forth between these two modes: focus mode and diffuse mode.
# Neural Chunks
## Creating Well-Practiced Patterns
- When learning something new, you want to create a well-practiced neural pattern that you can easily draw to mind when you need it.
- These patterns are called "neural chunks."
- Chunking theory is incredibly important in learning because it helps us develop well-practiced patterns that make tasks seem easy.
- The bigger the library of these patterns, the more expertise you have in that topic.
# Chunking Theory
## Solid Neural Patterns
- Nobel Prize-winner Simon found that if you're a chess master, the higher your ranking in chess, the more patterns of chess you had memorized.
- Research shows that the better your expertise at anything, the more solid neural patterns (or neural chunks) you have.
- It's important to create well-practiced patterns related to multiplication, division, calculus concepts like limits, integrals, and derivatives.
- Practicing with each one of these enough makes it almost like backing up a car.
# Developing Chunks
## Practice with Key Problems (Selected key problem for solving)
- When learning something difficult, find key problems and try working on them cold.
- If you can't solve the problem, take a peek at whatever hints you need to be able to finish working it.
- Try working on the problem again cold without looking at the answer.
- Repeat this process over several days until you can step through all the solution steps in your mind.
## Develop Automatic Patterns
- By practicing key problems repeatedly, patterns become automatic.
- After several days of practice, you will have created valuable chunks that allow you to solve new problems more easily.
## All Learning Involves Neural Chunks
- Realize that all learning involves getting these neural chunks together.
Active recall and spaced repetition
Reinforced already-learned information
Cognitive Loading (Pre learning before any lecture)