Quick #math tip: Fractions are just division wearing formal clothes. 1/4 means 1 divided by 4. Just division in a tiny tuxedo. corepathtutor.com #Math #Fractions #Learning

Quick #statistics tip: Correlation means two things move together. It does not mean one caused the other. Always look for the hidden third factor before blaming one variable for another. corepathtutor.com #Statistics #DataLiteracy #STEM

Quick #physics tip: Mass is how much stuff you have. Weight is how hard gravity is pulling on it. That is to say if you go to the Moon, you'll have a different scale drama. lol! corepathtutor.com #Physics #Science #STEM

Quick #math tip: Parentheses are not decoration. In a multinomial train they are the train cars showing who travels together. The train driver is the order of operation ;) (3 2)×4=20 is not the same trip as 3 2×4=11. corepathtutor.com #Math #OrderOfOperations #STEM

Quick #physics thought: Force changes motion. No force, no change. That is Newton’s way of saying: if nothing pushes the system, do not expect it to magically get its life together. corepathtutor.com #Physics #Newton #Science #Learning

Quick #math tip: A negative times a negative is positive. Two wrongs may not make a right in life. But in multiplication, apparently they filed an appeal and won. corepathtutor.com #Math #Mathematics #Learning #STEMEducation

Strong school years are usually built during quiet seasons. Summer is one of them. corepathtutor.com #StrongFoundations #LearningProcess #Tutoring #alpharetta #roswell #miltonga

The school year moves quickly. Summer gives students time to actually understand the “why.” corepathtutor.com #LearnTheWhy #SummerLearning #Education #alpharetta #roswell #miltonga

“Education is not the filling of a pail, but the lighting of a fire.” — Often attributed to William Butler Yeats Learning is not collecting facts. It is developing curiosity and understanding. corepathtutor.com #Learning #Education #STEM

Quick #statistics reminder: Average is useful. But average alone can lie politely. Always ask what the spread looks like before trusting the story. corepathtutor.com #Statistics #DataLiteracy #Learning #STEMEducation

Confidence next school year starts with understanding this summer. corepathtutor.com #ConfidenceInLearning #STEMEducation #MathTutor #alpharetta #roswell #miltonga

Quick #physics tip: Velocity has direction. Speed says, “I’m going fast.” Velocity says, “I’m going fast this way.” Physics cares about the drama of direction. corepathtutor.com #Physics #STEMEducation #Learning #Science

Self-actualization is not an event. It is built through consistent habits, practiced daily. Education is one of those places such habits begin. #Education #Habits #Learning #SelfDevelopment #Discipline

No doubt! Specially the #interpersonal skills in my opinion.

Summer tutoring is not about getting ahead fast. It’s about building clarity before the next step. corepathtutor.com #ConceptualUnderstanding #SummerTutoring #ClarityFirst #alpharetta #roswell #miltonga

Students rarely fall behind overnight. Small gaps grow over time. Summer is a chance to fix them early. corepathtutor.com #Education #StrongFoundations #Tutoring #alpharetta #roswell #miltonga

A few focused sessions over the summer can prevent months of frustration during the school year. corepathtutor.com #Learning #SummerLearning #BuildTheBasics #alpharetta #roswell #miltonga

The best time to catch up is before the next class starts, building on old material. Take summer seriously. corepathtutor.com #SummerTutoring #MathTutor #STEMEducation #alpharetta #roswell #miltonga

Do not use your energy to worry. Life is too short to worry about stupid things.  Have fun. Fall in love. Regret nothing and do not let people bring you down.  Study, think, create and grow. Teach yourself and teach others.  —Professor Richard Feynman

Apple has published a paper with a devastating title: “The Illusion of Thinking” It argues that AI models, no matter how brilliant they may seem, do not understand what they are doing. They do not solve problems. They do not reason. They merely generate text word by word, trying to sound coherent. Apple tested the most advanced reasoning models in the world on controlled puzzle environments. They tore open the internal "thinking" traces. What they found shatters the narrative that we are getting closer to AGI. Current models don't scale with complexity. They have a hard mathematical cliff. And they do not degrade gracefully. They collapse. But here is the most unsettling part. When a problem gets too complex, the AI doesn't use its remaining compute to try harder. It just gives up. Its reasoning effort actually declines. It stops thinking and starts guessing. Then Apple ran the experiment that closes the casket on the reasoning debate. They gave the AI the exact, step-by-step algorithm to solve the puzzle. The cheat codes. All the AI had to do was follow the instructions. It couldn't do it. Performance didn't improve at all. When the complexity gets high enough, these models fail because they cannot actually execute a logical sequence. They are not reasoning. They are just pattern matching. When you give them a simple problem, they overthink. When you give them a hard problem, they collapse. Paper: The Illusion of Thinking, Apple, 2025