Learning Science
Working Memory vs Long-Term Memory
There are two physical elements behind learning: working memory and long-term memory. Understanding their roles helps you be surgical about how you study and use your time on task.
We Overestimate One, Underestimate the Other
Most people vastly overestimate their long-term memory and underestimate their working memory. Long-term memory is your mental storage. It is the place where information you’ve encoded and organized lives for future retrieval. Working memory is your short-term workspace. Working memory is the part of your brain that holds and manipulates information in real-time.
When you already have a schema (schema is a mental framework that connects ideas) your working memory can process information efficiently. But if you don’t have schema about a topic yet, and you try to use working memory as long-term storage, you dilute your cognitive effectiveness. You’re forcing your brain to juggle recall and reasoning at the same time, which quickly overloads it.
Working Memory Has Limits
Your working memory isn’t designed to pull from the void. If you’ve memorized something to fluency—like times tables or phonetic decoding—your working memory can grab and use that information frictionlessly. But if you’re recalling a new formula and performing the calculations in your head, you’re exhausting your working memory and setting yourself up for errors.
When You Have to Memorize
Our education system often demands speed and fluency without notes. In those cases, you must build your long-term memory deliberately. Encoding into long-term memory takes repetition, organized filing, and retrieval practice. It’s not glamorous, but it’s how you scaffold future cognition.
Working memory, in contrast, is about processing and reasoning. The most efficient learners know which mode they’re in: Are you memorizing, or are you practicing thinking?
Outsourcing for Efficiency
You don’t have to memorize everything. I rarely do. My long-term memory is human and flawed, but I have tools: paper, software, and search. By offloading static facts, I give my working memory full bandwidth for problem solving.
When I do need to memorize, I rely on clean filing. Instead of memorizing three disconnected cases for horizontal asymptotes, I remember the process that creates them:
- Step 1 — Test increasingly large x-values.
- Step 2 — Observe how the rational expression behaves.
- Step 3 — Notice that bigger exponents in the numerator cause divergence, bigger exponents in the denominator collapse toward zero, and equal exponents stabilize to the ratio of coefficients.
This turns definition into narrative. It becomes a mental story about how a concept behaves, not just what it is. That story structure is easier for long-term memory to encode and for working memory to retrieve.
The Takeaway
Your working memory is stronger than you think, but only when it isn’t cluttered with recall. The more you outsource or automate long-term memory, the cleaner and faster your cognition becomes. Learning is about managing both: building durable files while keeping your active workspace clear for real thinking.
About Andre Vaquero, M.Ed.
Certified math educator and curriculum designer with advanced training in instructional technology. I’ve taught since 2017, both in-person and online, and specialize in turning abstract math into clear, visual steps students actually enjoy.
My mission is to help families build math confidence together — one skill at a time.

- B.S.Ed., Mathematics Education, 2017
- M.Ed., Curriculum and Instruction, specialization in math and instructional tech, 2020
- Graduate Certificate in Mathematics, 2022
- Classroom teaching since 2017, virtual teaching since 2021
I help middle school, high school, and college students master the exact skills that block progress, then build durable habits parents and students can sustain at home.
Serving families in St. Petersburg and online nationwide.