Most realize that the educational system is broken. Wilson comments.

A depressing 65 percent of all eighth-grade youth in America are considered not proficient in math. This means that after eight years of study, they lack the basic math skills to succeed in life. In some states, such as Louisiana, West Virginia, and Mississippi, a gloomy 80 percent of students lack math competency. Fifty percent of all students in our major cities drop out of school before they graduate from high school, and an alarming number of those who do graduate are considered functionally illiterate.

So why does the current pedagogical system fail to educate the students, and how do we make it work?

Two main issues.

1. Students do not learn to understand, but are taught to memorize. Wilson, page 95.

   Brain-based educators Renate and Geoffrey Caine point out how most educators believe that learning occurs due to memorization. In their book, Making Connections, they point out, "This is like looking at the moon and believing we have understood the solar system."

   When faced with solving a problem in the real world, students have no idea how to proceed because they never developed the skills to think critically to apply what they know to accomplish a goal. Imagine a student given a screw driver without any idea of its purpose. You place a screw in a vertical position, and tell the student to place the tip of the screw driver on the head of the screw and turn. Without an understanding of the purpose of the screw driver, the student will not accomplish the goal of securing the screw. The student has to understand the purpose of the screw driver to maintain the correct angle, apply the correct pressure and torque, and know when to stop.
2. Many advances in understanding, which occurred in the late nineteenth and throughout the twentieth century, provide deep insight into physical phenomenon, but these concepts rarely appear in curriculums. In fact, in the 1950's, a schism developed between mathematics and other STEM disciplines, which expanded as time progressed. Also, learning and exploiting modern mathematics requires reflection, deep observation, and the ability to make associations.

Offer courses in STEM subjects designed to accomplish the following.

1. Provoke the students to think, and discover the concepts they need to master through carefully crafted questions and projects, and customized feedback. Children enter the world with a natural curiosity, but the educational system, social media, and society in general beats this curiosity out of them. Reawakening the inquisitiveness of a student leads them to ask questions. Once they start asking questions, they begin learning. Presenting carefully targeted questions and projects to a student will then lead them to understanding of a particular topic. Also, the student will gain confidence in their own abilities. With this confidence, they can then tackle independently any problem or challenge presented them, leading to a happy individual with a successful and fulfilling career.
2. Incorporate modern concepts early in a students career. Mathematics grew from human observation of the world around them, so relating mathematics to it provides the perfect vehicle to develop a student's understanding of the concepts they need. These concepts provide deep insight into the world around us, and, ironically, make learning mathematics easier because they expose the essence of mathematical behavior. Also, understanding these concepts will greatly accelerate a student's mastery of physics, engineering, machine learning, and related subjects. In the movie Arrival, the aliens, Heptapods, visit Earth to provide us with a gift, their language. Truly speaking the Heptapod language expands one's consciousness. So it is with mathematics. Truly learning to speak mathematics expands your consciousness, opening the door to understanding the universe.

To implement the solution, university professors have designed a radical methodology for learning mathematics with no fear in a friendly atmosphere at all levels. The essence is to develop the understanding of basic mathematical concepts in an integrated approach. Features such as logical thinking, stimulation of the creative mind, and the ability of discovery are the center of our educational philosophy. Making young people deeper observers and capable to relate mathematics and science would have a significant impact in identifying their interests and realization as human beings. No more frustrations, no more memorization, but full understanding of the fundamental notions required to advance in life.

During 70 years of combined teaching experience, we have developed a curriculum that encompasses most of modern mathematics. This curriculum includes questions and projects that promote true understanding. Now we want to bring this curriculum to a larger audience.

1. We have started and want to complete dividing the curriculum into modules. Each module will focus on a particular mathematical concept, or its application to physics, astronomy, engineering, technology, computers, economics, or other STEM subject.
2. We want to expand our repertoire of introductory modules to attract primary and secondary students.
3. We want to team with others in academia and industry to develop more application modules and projects, and expand our audience.
4. We want to team with local schools to offer in person presentation of modules and projects to further refine our narrative and create a local positive impact.
5. We want to migrate all the modules online to expand our audience nationwide, and eventually globally.
6. Develop an advanced online feedback capability to ensure each online student gets the full benefits of our program.
7. Develop automated feedback to maintain quality while expanding our reach.
8. Conduct pedagogical research to improve the quality of the curriculum and the experience of the student. Also, general STEM research to provide more material to engage the students.

1. J. W. Wilson. Cracking The Learning Code: The Science That Is Transforming How The World Learns, Motivates, And Changes Behaviours. Learning Code Publishing, 2021.