Essential Articles

Beneschan, Mike. “Math Is Not The Study Of Numbers”. 2020. Medium. https://mikebeneschan.medium.com/math-is-not-the-study-of-numbers-3c9fd8087772.

Biology is the study of life; it’s right there in the name. Chemistry is the study of chemicals. Physics is broadly the study of forces and how objects interact. What about math? Math is the study of patterns. It is the study of patterns both in the real world you and I live in, and in the abstract world of formulas, x’s and y’s. As mathematician Keith Devlin states in The Math Gene, math studies patterns that come “from the world around us, from the depths of space and time, and from the workings of the human mind.”

Canen, Cathy. 2018. “Using the Socratic Method with High Schoolers | Paradise Praises”. Paradise Praises. https://paradisepraises.com/socratic-method/.

⭐ Cheney, Chloe. “Pros And Cons of Formal & Informal Learning”. 2022. Medium. https://chloecheney44.medium.com/pros-and-cons-of-formal-informal-learning-abc8e59f22c.

Education is the process of gaining or imparting knowledge and being successful later. This whole process demands learning, and it is done in many ways. And to acquire knowledge, you have to undergo at least each process of learning. ‘Learning’ gives us the idea of classes, extracurricular activities, syllabus, structured rooms, and the entire academic process that our kids or we experience. Even though you learn daily from incidents you face, people you meet, or the experiences, the list goes on. Today, you will learn about the learning types an education sector or the workplace follows: formal and informal learning.

Medium Member Only Corbeel, Brecht. 2023. “What Is Mathematics?” Medium. October 9. https://medium.com/@brechtcorbeel/what-is-mathematics-6073d82ea302.

Mathematics is often misconceived as a mere tool for solving equations or calculating sums. This reductionist view obscures the profound complexity and depth that characterize the discipline. At its core, mathematics is the study of structures, patterns, and relationships that emerge from abstracted quantities and symbols. It serves as the backbone for understanding the universe, from the subatomic particles to the vastness of cosmological phenomena.

“Live The #Mathlife with Lessons, Activities, Videos, & Much More”. 2021. iteachalgebra. https://iteachalgebra.com/.

Medium Member Only Remick, Karen. “The Least Efficient Way to Teach Math”. 2021. Medium. https://medium.com/math-simplified/the-least-efficient-way-to-teach-math-abdc7177217.

The US ranks 30th in the world for math1. I’m not surprised as I teach a remedial math class to people in the Army (soldiers need to pass a timed competency test to determine what jobs are available to them. The class I teach is a test prep class.) It’s not the students who are at fault here. 95% of the kids I teach (yes, 20 somethings are kids. I’m old.) are bright and hard-working. So what went wrong?

⭐ “Richard Feynman On Teaching Math to Kids and The Lessons Of Knowledge”. 2016. Farnam Street. https://fs.blog/2016/07/richard-feynman-teaching-math-kids/.

“The Feynman Technique: A Beginner’s Guide to Learning Fast”. 2019. Develop Good Habits. https://www.developgoodhabits.com/feynman-technique/.

Using the Feynman Technique allows you to apply the concepts that you learn to real-world problems because you are able to grasp the concepts and processes of complex ideas.


⭐ I suggest that you read the entire reference. Other references can be read in their entirety but I leave that up to you.


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