July 13, 2025

Math Revolution: Rethinking Education with Dr. Craig Hane

Math Revolution: Rethinking Education with Dr. Craig Hane
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Season 1

Welcome to episode 36 of the Designing with Love podcast! In this episode, I had the pleasure of interviewing Dr. Craig Hane, a math educator and founder of the Triad Math Army. 

Mathematics doesn't have to be intimidating, confusing, or useless. Dr. Craig Hane proves this through his remarkable journey from being told he wasn't "college material" to revolutionizing how math is taught and learned.

Dr. Hane shares how his uncle taught him practical mathematics that put him ahead of his peers, yet traditional algebra instruction nearly derailed his academic future. This contradiction sparked a lifelong mission to transform mathematical education. With refreshing candor, he explains why 90% of what's in standard algebra textbooks is either obsolete or unnecessarily theoretical, serving examinations rather than real-life applications.

Whether you're a student struggling with mathematics, an educator seeking better approaches, or someone who's always felt alienated by traditional math instruction, this conversation offers a revolutionary perspective on learning and teaching. Dr. Hane’s practical, technology-embracing approach could transform how we think about not just mathematics, but education as a whole.

🔗Website and Social Links:

Please visit Dr. Hane's website and social media links below.

Craig Hane's Website

Triad Math Army (TMA) Website

Triad Math Army Facebook Page

Triad Math Army X Social Media Page

Triad Math Army YouTube Channel

Triad Math Army Instagram Page

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00:00 - Episode Introduction and Welcome

03:33 - Dr. Hane's Educational Journey

09:30 - From Teaching to Educational Innovation

16:24 - Practical Math vs. Traditional Teaching

23:04 - Wolfram Alpha and AI Learning Tools

31:04 - The Six-Tier Math Learning System

37:58 - Wisdom Tools Beyond Mathematics

45:04 - Outdated Math Curriculum in Schools

52:00 - The Triad Math Army Program

WEBVTT

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Hello and welcome to the Designing with Love podcast.

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I am your host, Jackie Pelegrin, where my goal is to bring you information, tips, and tricks as an instructional designer.

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Hello, GCU students, alumni, and educators.

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Welcome to episode 36 of the Designing with Love podcast.

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Today I have the pleasure of interviewing Dr.

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Craig Hane, also known as Dr.

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Dell by his students, and an expert in the education field and mathematics.

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Welcome, Dr.

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Hane.

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Thank you, Janet.

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Thank you.

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So can you tell us a little bit about yourself?

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Well, I've been around a long time, and when I was a young man a boy I had a homeschool teacher, my uncle, jack Davis, who was a barber and a builder, and he taught me practical math, and I was always ahead of my students and my teachers because of him, and so I started.

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I actually had my first teaching experience when I was five years old.

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He had taught me how to count and none of the other students had been taught how to count, and so my first grade teacher enlisted my aid in helping them to learn to count.

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My first teacher experience he taught me all sorts of practical math.

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He was not a math teacher, by the way, he was a builder and a barber and I learned things that most people don't know, like if you want a third of a square angle, how do you do it with string, and it's called the one-two rule.

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Most people don't know that, and things like that.

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I excelled at math through the eighth grade, when I was a freshman in high school in Greencastle Indiana.

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I took algebra and I did not do well in it.

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I got a pretty bad grade.

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I didn't flunk it, but I got a bad grade.

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I didn't like it and my principal and my counselor told me Craig, you're not college material, you're not going to go to college, because if you don't do well in algebra in high school you can't go to college.

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They recommended I take shop industrial arts, which I did.

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No one in my family had ever gone to college.

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Then I got saved by two wonderful teachers.

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I had a geometry teacher my sophomore year and she taught great geometry and I did really well and I loved it, just like Uncle Jack.

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Then I had the algebra teacher again in my junior year.

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Didn't do good again, but now I was a troublemaker.

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I argued with him a lot.

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Why is this true?

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Why is this true?

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Where did this come from?

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Don't ask that, just do it Didn't get a very good grade.

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My senior year Ms O'Hara recommended I go to DePaul University in Greencastle and take college algebra as a special student and I did my senior year.

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By the way, I was the youngest kid in my class.

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I was 16 years old when I did it.

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When I entered Dr Clint Gass, who was the chairman of the department was my teacher and I took college algebra and he was a good teacher and I got an A.

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Wow, that's amazing, whoa how could that happen?

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Right, he became my mentor.

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He got me enrolled in the number one liberal arts college in the United States at that time Oberlin College.

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I could get there on a Pennsylvania railroad up near Cleveland.

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I'm from Greencastle, indiana, went to Oberlin, majored in math and English.

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Then I taught and, by the way, I tutored students all through this time.

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Now I made a good living tutoring students and as a tutor I never had a failure.

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The year after I graduated from Oberlin I taught high school for a year in Western Reserve High School, wakeman, ohio.

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All four grades of math.

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And now I had students failing because they couldn't keep up and I couldn't slow down.

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I had to be on a schedule and for the first time ever I had students fail.

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I felt terrible.

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I couldn't do anything about it.

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I had other students who were bored because I was going too slow, couldn't do anything about it.

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That's when I realized there's a real problem with classroom teaching and math on a schedule.

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Right, I wanted to do something about it.

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Well, anyway, that was one year.

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I went back that next year back to Greencastle and Dr Gass had me teach math at DePaul while he went on sabbatical.

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He wanted me to teach their most advanced theory that I learned at Oberlin.

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They didn't know so at age 22, from having been told I was not college material when I was a freshman at age 22, I'm teaching the most advanced math at DePaul.

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He then said why don't you go to graduate school?

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Because I didn't know what I wanted to do.

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I'm an adventurer.

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So I went to Bloomington, indiana, down about 40 miles down the road to Indiana University, enrolled as a grad student.

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Well, it was fun.

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I loved it.

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So I hate tests.

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By the way, I didn't take the master's degree exam.

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I don't have a master's degree, but it turns out what's important is doing research and a dissertation.

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And after four years they said okay, craig, here's a PhD, now go be a professor, you're out of here.

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Wow, that's awesome Now at age 27,.

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I'm a professor.

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For seven years I was a professor.

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I went to Terre Haute, indiana State University three years, rose-hulman Institute of Technology, four years.

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I also then began to apply math, practical math.

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I'm really an adventurer.

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I've never done any one thing more than a few years of my life.

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And one of the things I did I built the world's first, the best eighth-mile drag strip action dragway in Terre Haute, and it was practical math that.

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Let me do it.

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Then I invented.

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I did some other things too, lots of other things, but the big thing I did.

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I invented what I call the dynabrain to monitor racing engines as they were being tested on water break dynamometers for racers, for racing, oh wow.

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And NASCAR became my number one customer.

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The NASCAR teams Hustle and Racing was my number one customer, and they had the best racing engines because they could test them using my dynabrain.

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And, by the way, all I needed to develop all that was practical math.

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I didn't need advanced topology and Hilbert spaces and all that which I've been teaching at the advanced level.

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I just need a practical math.

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And guess who my first racing customer was in?

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I was also racing and they had a racer named Daylor I forget his name, marcus.

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They fired him.

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They hired had a racer named Dale.

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I forget his name, marcus.

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They fired him.

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They hired a new racer One day.

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Ronald Locke, the general manager, was standing out back and he said we've hired this new racer.

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He said he's a crazy guy.

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No one else would hire him, but we think he could be a pretty good racer and we don't know.

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We're going to try him and we've told him.

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And to try them, and we've told him and he called him up, introduced me to him.

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He says this is Craig Hayne.

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He's the guy that got the DynaBrain.

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That's why we got the best racing engines in NASCAR.

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You know, you got to go out and win races.

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Craig, meet Dale Earnhardt.

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That's awesome, that's great.

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I met Dale Earnhardt before he ran his first race, and on and on and on.

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Well then, I thought I was going to get rich.

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On the Dynabrain.

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They quit making the processor that I needed to build and Intel couldn't make it.

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So I ended up forming a training company called Hain Training, and we trained skilled tradesmen for the military and utilities and the big three automakers and Caterpillar, and on and on, all across the United States, and I hired people to help me do it.

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I had lots of instructors and all that, and we ended up with about 50 different workshops and every one of the workshops technical workshop depended on practical math.

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We teach them just enough math and they go.

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Why didn't somebody teach me this 20 years ago?

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Sorry, and here's the reason.

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When I teach practical algebra today and I do it online now I have an online program how many lessons do you think you need for practical algebra?

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Maybe 16 weeks, Maybe 16?

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weeks About 16 weeks, maybe 10 lessons, and you're going to go through them in about two weeks.

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That's it.

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That's all you need.

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Now, how much math have you had in your life.

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Let's see, I got through algebra.

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Okay, do you remember the quadratic equation?

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Barely because I haven't used it much yeah.

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You've never used it.

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Yeah, no, no.

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You've never used it except for your test.

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Now that's an example, and I can take a typical freshman Algebra 1 book and 90% of it shouldn't be in it.

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It's either obsolete stuff you'll never use or it's theory you'll never use.

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For example, the square root of 2.

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What kind of a number is it?

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You were taught that in algebra maybe probably it's in the books, and the answer is it's an irrational number, meaning you can't express it as a fraction.

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Now the question is who cares?

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No scientist cares, no engineer cares.

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There's no irrational numbers in the real world.

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It's a theoretical concept that only theoretical mathematicians care about, and so it's full of that.

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So I teach 10 lessons in algebra, then I apply it to geometry and I have 19 lessons for geometry.

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How long is something, what is the area, what's the volume?

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Now that doesn't deal with angles.

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You now need trigonometry, but for practical trigonometry it's only seven lessons.

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Now all that's explained in this book how and why public school math is destroying the USA.

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There are no textbooks that do what I'm telling you.

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I have a program online that does it, with tutorial videos which is me coming from Amazon Web Services 24-7, notes and exercises that you can buy.

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You can either print them out yourself from a PDF or you can buy them very inexpensively from Amazon Amazon is my cheap printer Right and you can learn practical math now in about one semester to a year, and that's the basis.

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Now there's a six-tier system and that's the first two tiers.

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Now let's talk about science and engineering.

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You mentioned that your school has a lot of science and engineers.

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Correct, yes.

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Now you need math at a much deeper level.

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You need trigonometry.

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Trigonometry is a huge subject and you need it at a much deeper level.

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Algebra you need it at a much deeper level.

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Algebra you need that at a deeper level.

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Analytical geometry at a deeper level.

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Complex numbers All that Historically, when I taught it at an engineering school.

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It would take a long time to get through that properly Because there's a lot of manual tools.

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Here's the thing about math.

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There's two things there's concepts and there's tools.

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The concepts can be easy to learn, but you have to apply them with the tools.

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And the manual tools are difficult.

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They're difficult to learn, they're difficult to do.

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Well, for example, if I gave you a number today 397 times 296, I said tell me what it is.

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Would you do it manually?

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No.

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No, you take your calculator, blah, blah, blah, blah, blah.

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There's the answer.

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Right, okay Now, and I teach the calculator back in the practical math.

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That's the first thing I teach.

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But now you need other tools, manual tools that you need to learn to use, that are difficult, and they've now been replaced, because what happened was in the year 2009, a new I'll call it AI tool augmented intelligence tool was introduced to the world.

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It's free on the internet.

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It's free on the internet.

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It's incredible and it does all of the math you need now for science and engineering for you.

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It does the tools for you.

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You need to learn the concepts and you need to know how to learn to use it, but it does it.

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The name of that tool is Wolfram Alpha Wow that's great it came out in 2009.

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Now I could spend the next 10 minutes telling you how it all came about.

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I won't because you probably don't have time for that.

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Steve Wolfram is the guy that did it, and he developed a programming language called Mathematica in 1988.

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He and Steve Jobs worked together.

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By the way, mathematica was bundled on Steve Jobs' next computer and that was what was used to create the World Wide Web by the guy in Churn, john Berners-Lee.

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I don't want to get too much history here.

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Anyway, 30 years later, he was able to write a program in mathematics.

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It's so powerful that you can ask it a question about some math problem.

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If you understand the concept, know how to ask the question and bingo, it gives you the answer.

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Wow.

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Unbelievable.

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Now.

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A scientist or an engineer today can learn all that pre-calculus I just talked about very easily in a year and that's what I teach in Tier 4.

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It would normally take two or three years to learn it manually.

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Right?

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I teach a lot of things that they don't even teach manually.

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It's just too difficult.

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Now, once you've learned that pre-calc, you need to learn calculus.

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There's differential calculus and there's integral calculus.

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Calculus 1, differential calculus is a relatively easy manual tool because it's just taking derivatives and using them to find maximum minimum of functions.

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It's not easy, but it can be done.

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Integral calculus applies the fundamental theorem of calculus.

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What that means is if you have a function it's not easy but it can be done Integral calculus applies the fundamental theorem of calculus.

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What that means is if you have a function, you want to know the area under its curve.

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You've got to find another function whose derivative is the given one you've got.

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They call that an antiderivative, very difficult to find manually.

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That flunked more students out of engineering school than any other thing, that particular problem.

00:14:09.206 --> 00:14:10.048
you probably never took.

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that too, you probably never went that far, very few people have.

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If you're an engineer or scientist, you go back and think about calculus to integral calculus and you'll remember how hard it was and how you almost and it was hard for me when I took it.

00:14:24.864 --> 00:14:27.787
I mean I took it way before these tools.

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I had to learn it manually and it was very difficult at Oberlin College I had to really, really work hard to learn it and a lot of students just give up.

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It's just too darn hard.

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Well, wolfram Alva does it for you and it goes beyond that now.

00:14:44.803 --> 00:14:52.583
So I now teach them calculus with my tutorial videos and I have a notebook, of course, using Wolfram Alpha.

00:14:52.583 --> 00:14:59.870
Both calculus differently One semester, 30 lessons Done.

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Can you believe that?

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Wow, that's amazing.

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Now the workhorse of science and engineering.

00:15:04.820 --> 00:15:09.993
If you know science and engineering, some of your customers might are called differential equations.

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You set up a model of something with a differential equation the solutions of function.

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Solving a differential equation is not easy at all.

00:15:18.107 --> 00:15:18.750
It's very difficult.

00:15:18.750 --> 00:15:26.547
It's even harder than integral calculus and so that's usually taught by sophomore year in college.

00:15:26.547 --> 00:15:30.634
Very difficult, most students hate it.

00:15:30.634 --> 00:15:32.384
They just get through it.

00:15:33.366 --> 00:15:59.863
Wolfram alpha makes it easy peasy wow that's an amazing tool, yeah oh so if you're, if you are teaching scientists and engineers at any level, but let's say college, and you're not using Wolfram, Alpha or some other equivalent tool and there are others but they're not easy to find you're doing your students a disservice If you're.

00:15:59.863 --> 00:16:04.812
All calculus books today are obsolete, all calculus books because they use the old manual tools.

00:16:04.812 --> 00:16:09.182
All differential equation books are obsolete.

00:16:09.182 --> 00:16:19.799
The two best differential equations, the best differential equation book ever written was by George Simmons, Dr George Simmons, Great book, but it's obsolete because it's all manual tools.

00:16:19.799 --> 00:16:20.942
Calculus same thing.

00:16:20.942 --> 00:16:22.649
He wrote the greatest calculus book, Dr George Simmons.

00:16:22.649 --> 00:16:25.044
There's lots of calculus books out there.

00:16:25.044 --> 00:16:25.748
There's tons of them.

00:16:25.748 --> 00:16:28.184
They're all the same pretty much.

00:16:29.307 --> 00:16:31.192
Right, not much difference yeah.

00:16:32.019 --> 00:16:41.029
And so today I'm trying to reform math education with my sixth year program and I'm trying to go into the high school level.

00:16:41.029 --> 00:16:50.451
I have students now at age 16 and 17 that have been through differential equations and they know it better than any ordinary high school graduate.

00:16:51.524 --> 00:17:04.107
Wow, that's amazing If you go to MIT and you've been through a public school, a good public school program, say through calculus, and you're sitting next to one of my students who's been through my program.

00:17:04.107 --> 00:17:05.751
You're at a big disadvantage.

00:17:05.751 --> 00:17:10.849
My student knows a lot of math you don't know and can do a lot of things you can't do with that tool.

00:17:10.849 --> 00:17:12.605
You got to catch up.

00:17:12.605 --> 00:17:15.121
That's the world we live in Now.

00:17:15.121 --> 00:17:21.213
Your private school doesn't have to follow the norm.

00:17:21.213 --> 00:17:23.709
It can be a good school.

00:17:23.709 --> 00:17:28.185
Your math teachers won't like it because what they're teaching is obsolete.

00:17:32.012 --> 00:17:33.494
Wow, that's amazing.

00:17:33.494 --> 00:17:46.590
And I think it would even help with the kind of work I do as an instructional designer, being able to know those tools so that way we can create the best curriculum possible right for the students and for the faculty to teach.

00:17:46.590 --> 00:17:55.317
Because if you don't have the tools you need as an instructor to give to the students, then how are we creating the best education and the best curriculum?

00:17:55.479 --> 00:17:55.700
possible.

00:17:55.700 --> 00:18:01.772
But on top of that, you can't teach in a classroom One-on-one, one-on-one.

00:18:01.772 --> 00:18:06.632
There's two things about math education to make it successful.

00:18:06.632 --> 00:18:10.131
First of all, the most important thing is the psychology of the student.

00:18:10.131 --> 00:18:12.891
The student has to not be afraid of math.

00:18:12.891 --> 00:18:19.269
They don't have to love it, but they've got to not be afraid of it and they've got to want to learn it and they see the value of it.

00:18:19.269 --> 00:18:23.842
Right, that's an extrinsic motivation is to see the value.

00:18:23.842 --> 00:18:27.545
An intrinsic motivation is to understand that they just love it.

00:18:28.266 --> 00:18:29.866
Now what's it take to do that?

00:18:29.866 --> 00:18:31.729
Pedagogy and content.

00:18:31.729 --> 00:18:35.030
I've been telling you about content, but pedagogy is equally important.

00:18:35.030 --> 00:18:37.472
I call it spike pedagogy.

00:18:37.472 --> 00:18:39.634
I made up the acronym S-P-I-K-A.

00:18:39.634 --> 00:18:44.747
It's got to be self-paced and every lesson the student has to be ready for.

00:18:44.747 --> 00:18:48.667
You can't be skipping lessons and you can't assume the student knows something they don't know.

00:18:48.667 --> 00:18:55.644
So you've got to go through and I start them at the beginning, even an advanced student.

00:18:55.644 --> 00:19:01.130
I make them go through my program at the beginning and if they know the math it's a review they go through it real fast.

00:19:02.940 --> 00:19:14.236
If they don't know it, they've got to learn it Because view, they go through it real fast If they don't know it, they've got to learn it because they're going to need it later on, right, and I mean, if you don't know the law of cosines, you're stuck.

00:19:14.236 --> 00:19:17.473
I mean you can't, there's all sorts of things you can't do.

00:19:17.473 --> 00:19:24.160
So if you somehow didn't learn the law of cosines, well, you can't learn advanced math.

00:19:24.160 --> 00:19:26.285
Then You've got to.

00:19:26.285 --> 00:19:31.564
It's kind of like learning to drive a car but you don't know how to use a brake.

00:19:32.306 --> 00:19:34.412
Yeah, see what.

00:19:34.412 --> 00:19:38.145
I'm saying you can't move on, yeah, you can't move forward without, so I move all the way through it.

00:19:38.759 --> 00:19:40.267
Now Tier 3 I didn't tell you about.

00:19:40.267 --> 00:19:42.709
I told you about Tiers 1 and 2 and 4, 5.

00:19:42.709 --> 00:19:49.066
Tier 3 is the closest thing I come to teaching ordinary, the way it's done in school.

00:19:49.066 --> 00:19:51.949
It's called getting people ready for the SAT and ACT.

00:19:51.949 --> 00:19:55.846
Tier three and I teach them a bunch more math.

00:19:55.846 --> 00:20:02.720
If they're not going into science and engineering, they'll never use it, but they need it for the test, For example, a quadratic equation.

00:20:02.720 --> 00:20:04.961
Yeah, you've got to teach them.

00:20:04.961 --> 00:20:16.346
You got to take a test and I tell them up front half of the things, two-thirds of the things I'm teaching now, you'll never use if you're not going into science, engineering, if you're not STEM, a STEM student.

00:20:16.346 --> 00:20:18.147
But you got to learn from the SAT.

00:20:18.147 --> 00:20:21.288
The SAT is a horrible test, so is the ACT?

00:20:21.288 --> 00:20:22.529
It'll prove a damn thing.

00:20:22.529 --> 00:20:25.411
But in fact some schools are quit using them.

00:20:25.411 --> 00:20:26.131
They realize that.

00:20:26.832 --> 00:20:37.155
Yeah, gcu doesn't require the SAT or ACT to enter, so I think they're realizing yeah, that it's obsolete, they're horrible tests yeah, absolutely.

00:20:37.415 --> 00:20:44.502
They don't prove anything but Tier 3, I teach you how to do pretty good on them, just in case you've got to take them, that's true.

00:20:44.502 --> 00:20:46.468
And then I tell you a lot of stuff I'm teaching to her through.

00:20:46.468 --> 00:20:55.185
I'm teaching the manual way of doing things now, once you get into her, for you can go back and review that and do it with wolfram alpha, go and say, well, why didn't you do that back in tier three?

00:20:55.185 --> 00:21:01.981
Well, you can't use wolfram alpha on the sat right, I won't let you do that.

00:21:02.762 --> 00:21:03.123
Why?

00:21:03.123 --> 00:21:06.384
Well, the sat would be a meaningless test if you could rule from alpha.

00:21:06.384 --> 00:21:10.472
It's a meaningless test with what?

00:21:10.472 --> 00:21:14.848
If you know how to use wolfram alpha and you take the sat or the act.

00:21:15.589 --> 00:21:20.116
It's a joke you score 100 on it, right?

00:21:20.738 --> 00:21:24.951
wow, that's the world we live in today yeah people don't.

00:21:24.951 --> 00:21:25.673
People don't like it.

00:21:25.673 --> 00:21:38.516
Well, you need to learn these old manual, these old manual tools, because that's how you learn math bullcrap yeah, bullcrap, especially today with the technology that's available, you know we need to harness that and use it.

00:21:39.006 --> 00:21:42.056
Yeah, that's absolutely, and that's what I did.

00:21:42.056 --> 00:21:44.202
Now I have, I've gone beyond math.

00:21:44.202 --> 00:21:50.778
Now I've created something called the triad math army, and what I've done is over the many decades of my life.

00:21:50.778 --> 00:21:52.792
I'm like everybody.

00:21:52.792 --> 00:21:59.892
I've had a lot of problems, I've had a lot of challenges, I've had bad habits, I've had bad addictions, but I've had opportunities.

00:21:59.892 --> 00:22:05.317
And so what I've done is, over the course of my life, I've acquired what I call wisdom tools.

00:22:05.317 --> 00:22:16.825
And here's what a wisdom tool is Any action you take will have consequences, short-term and long-term, good and bad, depending on how you define them Right.

00:22:16.825 --> 00:22:21.694
The problem is, too often you take an action and you don't know what the consequences are going to be.

00:22:21.694 --> 00:22:23.438
Then you've got to live with them.

00:22:23.438 --> 00:22:29.096
So a wisdom tool is understanding what will be the consequences of a specific action.

00:22:29.096 --> 00:22:31.950
Once you understand that, you can decide.

00:22:31.950 --> 00:22:33.234
Well, now what action do I want to take?

00:22:33.234 --> 00:22:36.210
This action may have a short-term consequence.

00:22:36.210 --> 00:22:39.136
That's good, but a long-term consequence is bad.

00:22:39.136 --> 00:22:40.611
So maybe you don't want to do it.

00:22:40.611 --> 00:22:43.208
Smoking cigarettes, good example.

00:22:43.208 --> 00:22:43.788
I smoked.

00:22:43.788 --> 00:22:44.530
You ever smoke?

00:22:45.291 --> 00:22:46.615
No, thankfully Good for you.

00:22:46.935 --> 00:22:47.256
I did.

00:22:47.256 --> 00:22:48.338
I'm an old guy.

00:22:48.338 --> 00:22:51.207
Back when I was a young man, everybody smoked Not I'm an old guy.

00:22:51.207 --> 00:22:53.108
Back when I was a young man, everybody smoked, Not everybody.

00:22:53.108 --> 00:22:53.650
A lot of people smoked.

00:22:53.650 --> 00:22:55.550
When I was 21 years old, I dated a girl that smoked.

00:22:55.550 --> 00:23:00.056
Loved her she's a great girl but she smoked and I couldn't stand to be around her if I didn't smoke.

00:23:00.056 --> 00:23:04.299
She stunk so I smoked her cigarettes so I could be around her.

00:23:04.299 --> 00:23:06.602
We broke up and guess what?

00:23:06.602 --> 00:23:08.287
I was hooked.

00:23:08.287 --> 00:23:10.069
I didn't know, I was hooked.

00:23:10.770 --> 00:23:13.434
Nicotine is a very addictive substance.

00:23:13.434 --> 00:23:16.380
So it took me 10 years.

00:23:16.380 --> 00:23:18.390
And, by the way, I cough a lot when I smoke.

00:23:18.390 --> 00:23:21.436
I didn't like smoking, but yet I do it because I wanted this.

00:23:21.436 --> 00:23:23.288
The nicotine hit.

00:23:23.288 --> 00:23:26.313
I would like Mark Twain.

00:23:26.313 --> 00:23:27.734
I quit a thousand times.

00:23:28.557 --> 00:23:30.987
It's easy to quit smoking 10 years before I quit.

00:23:30.987 --> 00:23:34.695
And, by the way, if I hadn't quit after ten years, you'd never heard of me today.

00:23:34.695 --> 00:23:39.112
I wouldn't be around, and on and on.

00:23:39.112 --> 00:23:42.013
There was a time in my life when I drank a quart of whiskey every day.

00:23:42.013 --> 00:23:50.394
Well, I learned that that wasn't wise and I quit, and I could go through lots and lots of examples of that.

00:23:50.865 --> 00:23:59.330
I've had a lot of health problems over the years, but I learned what it took to overcome them, Both mental and panic attacks.

00:23:59.330 --> 00:24:00.674
Learned how to overcome them.

00:24:00.674 --> 00:24:03.911
Do on the lawsuit learned how to overcome it.

00:24:03.911 --> 00:24:05.395
On and on and on.

00:24:05.395 --> 00:24:10.416
So these wisdom tools are now available to the Triad Math Army members.

00:24:10.416 --> 00:24:13.335
So not only do they get all the math, they get all the wisdom tools.

00:24:13.335 --> 00:24:18.433
It took me decades to learn and every one of the wisdom tools helped me improve my life.

00:24:18.433 --> 00:24:20.247
Would it help you?

00:24:20.247 --> 00:24:22.714
I don't know who knows Right.

00:24:22.714 --> 00:24:25.433
Different tools, different people.

00:24:25.433 --> 00:24:27.771
It was decades and decades I learned.

00:24:27.771 --> 00:24:32.233
I learned from other people and then I put them in.

00:24:32.233 --> 00:24:34.353
I explain them in videos, what they are.

00:24:34.353 --> 00:24:36.349
Tell you the book if you need to go read it.

00:24:36.349 --> 00:24:37.314
A lot of times you don't.

00:24:37.314 --> 00:24:39.150
So that's in a nutshell.

00:24:39.150 --> 00:24:39.771
That's what I've got.

00:24:39.771 --> 00:25:00.847
So today, if your listeners want to know, you can go to my website and I've got lots of free stuff on my web craighanecom, C-R-A-I-G-H-A-N-Ecom All kinds of free stuff on it that you might enjoy A bunch of books like this book.

00:25:00.867 --> 00:25:02.711
you can get a free PDF copy of it.

00:25:02.711 --> 00:25:04.395
There's a free PDF.

00:25:04.395 --> 00:25:09.796
You can buy it on Amazon for less than $5, but you get a free PDF copy.

00:25:09.796 --> 00:25:17.268
Okay, and I got a bunch of other books Now on my website.

00:25:17.268 --> 00:25:17.550
I take you to.

00:25:17.550 --> 00:25:19.144
I say, if you want to improve your life, I take you to the TriMath Army webpage.

00:25:19.144 --> 00:25:20.950
It explains the TriMath Army.

00:25:20.950 --> 00:25:22.288
Of course, $30 a month to join.

00:25:22.288 --> 00:25:30.939
$30 a month, but the first month you join it and if you don't love it we don't charge you.

00:25:30.939 --> 00:25:34.509
It didn't cost you anything to have.

00:25:34.509 --> 00:25:36.954
Yes, that's everything for 30 days for free.

00:25:37.016 --> 00:25:38.819
Wow, that's great, I love it.

00:25:38.819 --> 00:25:42.910
Yeah, so you can meet people where they are and help them improve their lives.

00:25:42.910 --> 00:25:44.112
So it goes beyond math.

00:25:44.472 --> 00:25:52.740
I love that, absolutely, absolutely, and there's a forum on it for the tri-math army and you can ask questions and you can talk to each other and so on and so forth.

00:25:52.740 --> 00:26:21.201
But no, if you have a lot of STEM students at your school, you'll definitely want to put me in touch, probably with the head of your engineering departments, because I want to tell you what in most schools maybe not your school, but I know some engineering schools and the engineering departments and the science departments don't like the math department.

00:26:21.201 --> 00:26:38.151
They don't like each other, but they're both tenured and they do what they want to do, and the engineering departments know that their students aren't learning what they need to know and the math department won't teach them.

00:26:38.713 --> 00:26:38.973
Right.

00:26:38.973 --> 00:26:42.224
So then the engineering students struggle right with that.

00:26:42.224 --> 00:26:43.048
That's the point?

00:26:43.108 --> 00:27:01.424
exactly, yeah, and so what you need to do is you need to have the leader of your university put together a team to analyze it, and it needs to be probably the chairman of, or the some leader at, each of the engineering schools and the math department.

00:27:01.424 --> 00:27:08.608
They need to be able to make their arguments, and then you get me involved with them, and they don't.

00:27:08.608 --> 00:27:09.790
They can't stand a chance against me.

00:27:09.790 --> 00:27:12.015
I'll ask them what calculus book are you using?

00:27:12.015 --> 00:27:14.038
And they'll show me.

00:27:14.038 --> 00:27:18.269
I'll say okay, now tell me this.

00:27:18.269 --> 00:27:19.511
Are you teaching this in this book?

00:27:19.511 --> 00:27:21.875
Well, yeah, well, why it's obsolete?

00:27:21.875 --> 00:27:23.498
Why are you teaching this?

00:27:23.498 --> 00:27:24.058
And on and on.

00:27:24.058 --> 00:27:26.528
I get into a lot of detail.

00:27:26.528 --> 00:27:38.167
I'm not going to deal with you on this podcast Right, but you do a deep analysis of finding out what

00:27:38.188 --> 00:27:39.288
they're doing right and what they're not doing right.

00:27:39.288 --> 00:27:56.698
I just tell them I go through any calculus book today and point out things in it that are obsolete, difficult to learn, difficult to do, and that's particularly true when we get into integral calculus and then differential equations are even worse.

00:27:56.698 --> 00:28:01.766
Wow, my goodness See, in 1972, I was teaching engineering school, and the first scientific calculator in the world came out.

00:28:01.766 --> 00:28:03.492
Then it was called the HP35.

00:28:03.492 --> 00:28:06.454
If you look, packard, 35 keys, hp35.

00:28:06.454 --> 00:28:10.107
In today's dollars this is 2025.

00:28:10.107 --> 00:28:13.136
In today's dollars it was about $2,500.

00:28:13.136 --> 00:28:20.576
No professors bought it, but some of the rich students had it at the engineering school.

00:28:20.576 --> 00:28:21.238
They had a lot of money.

00:28:21.238 --> 00:28:25.511
The students did some of them and so they had this thing.

00:28:25.511 --> 00:28:26.294
I didn't know what it was.

00:28:27.067 --> 00:28:32.276
We used to use slide rules, trig tables, logarithm tables, trig tables.

00:28:32.276 --> 00:28:34.651
They were put on slide rules, trick tables, logarithm tables, trick tables.

00:28:34.651 --> 00:28:38.303
They were put on slide rules and that's what we taught everybody.

00:28:38.303 --> 00:28:39.807
I didn't.

00:28:39.807 --> 00:28:42.651
I was teaching advanced theory, but that's what the other professors were teaching.

00:28:42.651 --> 00:28:44.608
So I asked this student.

00:28:44.608 --> 00:28:45.311
I said show me this thing.

00:28:45.311 --> 00:28:48.490
He showed me it In 15 minutes.

00:28:48.490 --> 00:28:51.994
I knew that slide rules were obsolete, trick tables were obsolete.

00:28:51.994 --> 00:28:52.565
Trick tables were obsolete.

00:28:52.565 --> 00:28:54.769
Log tables were obsolete.

00:28:54.769 --> 00:28:55.814
Why?

00:28:55.814 --> 00:29:02.617
What takes you 10 minutes to do with that you could do in one minute with this calculator.

00:29:02.617 --> 00:29:05.614
So I go to the math department meeting.

00:29:05.785 --> 00:29:11.435
We had a meeting once in a while and I said what are you guys going to do now that your slide rules and log tables and trick tables are obsolete?

00:29:11.435 --> 00:29:12.458
What are you talking about, hayne?

00:29:12.458 --> 00:29:15.652
Have you seen this new tool?

00:29:15.652 --> 00:29:18.892
Yeah, but it's expensive.

00:29:18.892 --> 00:29:21.569
Students can't afford that.

00:29:21.569 --> 00:29:22.532
We can't afford it.

00:29:22.532 --> 00:29:33.184
I said industry could afford it, and do you think any industry is going to let an engineer waste time on a slide rule when they can do it in a tenth of the time with a calculator?

00:29:33.184 --> 00:29:34.048
Right?

00:29:34.108 --> 00:29:37.805
of course a year, hewlett packard thought they would sell out 10 000 of these to engineers.

00:29:37.805 --> 00:29:45.280
They sold a hundred thousand oh, wow they lowered the price half price down to 195.

00:29:45.280 --> 00:29:48.347
It was 395 and 72 to 195.

00:29:48.347 --> 00:29:50.230
But then texas service came along.

00:29:50.230 --> 00:29:52.876
They built a better one, easier to use.

00:29:53.657 --> 00:29:54.519
Under $100.

00:29:55.648 --> 00:30:03.071
And today they dominate that market and today they just kept getting better, better and cheaper and cheaper.

00:30:03.071 --> 00:30:08.730
Now the TI-30XA is way better than those original scientific calculators and much.

00:30:08.730 --> 00:30:09.373
It's great.

00:30:09.373 --> 00:30:11.349
It's very easy to use.

00:30:11.349 --> 00:30:19.373
If you're taught which that's the first thing I teach young students Seventh, eighth, ninth grade first thing I teach is a calculator.

00:30:19.373 --> 00:30:24.090
I only teach the things we're going to use.

00:30:24.090 --> 00:30:25.746
A lot of stuff you'll never use and I don't teach that.

00:30:25.746 --> 00:30:27.191
I teach the stuff we're going to use.

00:30:27.191 --> 00:30:28.674
It's wonderful.

00:30:28.674 --> 00:30:30.046
It's the world we live in.

00:30:30.046 --> 00:30:34.753
Now, as we go forward in this world, there's going to be more and more AI tools.

00:30:34.753 --> 00:30:37.618
You know about ChatGDP and Grok and all that.

00:30:37.618 --> 00:30:48.878
Well, if you know the basic math that I teach, that makes it easier then to learn these AI tools.

00:30:48.878 --> 00:30:50.625
After all, an AI tool is only as good as what you ask it.

00:30:50.625 --> 00:30:52.148
Wolfram Alpha is an AI tool.

00:30:52.148 --> 00:30:54.409
It's not worth a damn thing if you don't know how to ask it the right question.

00:30:54.951 --> 00:30:55.372
That's true.

00:30:55.372 --> 00:30:57.451
Yeah, you have to learn to learn.

00:30:58.385 --> 00:31:06.208
Our students today that are going to be successful in this world are going to learn to use these tools, so they've got to start with basic math.

00:31:06.208 --> 00:31:08.992
By the way, they only need my practical math.

00:31:08.992 --> 00:31:10.748
They don't need to go through calculus.

00:31:10.748 --> 00:31:11.509
They only need my practical math.

00:31:11.509 --> 00:31:12.471
They don't need to go through calculus.

00:31:12.471 --> 00:31:14.856
If they're not in science and engineering, they don't need calculus.

00:31:14.856 --> 00:31:21.169
You need it in science and engineering, you don't need it anywhere else, but you need to know how to learn.

00:31:21.169 --> 00:31:24.414
Learn to learn, and that's one of the wisdom tools I talk about.

00:31:24.414 --> 00:31:25.296
How do you learn to learn?

00:31:25.296 --> 00:31:35.857
Because you're going to be learning to learn the rest of your life, I don't care what tool you're using today, it'll be obsolete in five years It'll be a better tool, right Absolutely.

00:31:35.897 --> 00:31:37.443
And that's going to go on and on and on.

00:31:37.905 --> 00:31:39.750
It doesn't matter what industry you're in, right?

00:31:39.750 --> 00:31:40.250
No?

00:31:40.550 --> 00:31:42.855
no, no, there's no escaping it.

00:31:44.526 --> 00:31:44.665
Right.

00:31:44.685 --> 00:31:44.968
That's true.

00:31:44.968 --> 00:31:45.710
There's no escaping it.

00:31:46.693 --> 00:32:00.535
Yeah, and I'm glad you brought up the AI technology, because even today, some of the students that I teach for the instructional design program they're educators, they're in K-12 education or they're in higher education and some of them are math teachers.

00:32:00.535 --> 00:32:11.239
So it's kind of neat to have this conversation and they don't bring up the AI technology and I'm like, but it's in every facet, every industry, so we need to embrace it.

00:32:11.965 --> 00:32:14.333
The reason they don't.

00:32:14.333 --> 00:32:18.634
There's a reason they don't what I'm talking about in my program.

00:32:18.634 --> 00:32:21.934
There are no textbooks that teach it, none.

00:32:21.934 --> 00:32:25.352
You cannot buy what I teach.

00:32:25.352 --> 00:32:27.217
The closest thing you can get.

00:32:27.217 --> 00:32:32.050
In tier three I start using the greatest high school math textbook in my opinion.

00:32:32.050 --> 00:32:35.717
I start using the greatest high school math textbook in my opinion ever, written by George Simmons.

00:32:35.717 --> 00:32:43.855
Dr George Simmons called Precalculus, mathematics in a Nutshell Algebra, geometry and Trigonometry.

00:32:43.855 --> 00:32:46.098
And guess how much that book is?

00:32:46.098 --> 00:32:47.490
It's 119 pages.

00:32:47.490 --> 00:32:49.196
It costs $20.

00:32:49.196 --> 00:32:52.170
No school has ever adopted it.

00:32:52.170 --> 00:32:57.625
It's still in print.

00:32:57.645 --> 00:33:03.538
I do use that textbook as a minor part of what I do because it's really good, but I don't use it until tier three.

00:33:03.538 --> 00:33:05.167
It's of no value.

00:33:05.167 --> 00:33:10.367
In the first two tiers I use a little bit in tier three and I use a little bit more than in the upper tiers.

00:33:10.367 --> 00:33:15.671
But I have to go way deeper than that textbook because there's all sorts of things that I go that are not in that book.

00:33:15.671 --> 00:33:21.090
But no, the math curriculum today that your college is teaching.

00:33:21.090 --> 00:33:22.385
I could be wrong.

00:33:22.385 --> 00:33:24.409
Obviously they could show me what they're doing.

00:33:24.409 --> 00:33:34.186
And, by the way, if you go to my website, craighaincom, I got my syllabus all six tiers of syllabus is all there, you can go down and look and see everything I teach.

00:33:34.207 --> 00:33:37.852
Wow, that's great, because if you're going to tell me about your math program, I'm going to say send me your syllabus.

00:33:38.532 --> 00:33:38.772
Right.

00:33:39.394 --> 00:33:40.816
And if you don't have a syllabus, well, what the hell?

00:33:40.816 --> 00:33:41.997
How are you going to tell me what you're teaching?

00:33:42.698 --> 00:33:44.740
Exactly, you need to see it yeah.

00:33:47.626 --> 00:33:48.688
Well, then give me your textbook.

00:33:48.688 --> 00:33:50.770
That's just as bad as the syllabus.

00:33:50.770 --> 00:33:59.607
So then I go and the problem is what the teachers have been taught and what they're teaching.

00:33:59.607 --> 00:34:00.712
Most of it's obsolete.

00:34:03.969 --> 00:34:09.059
One of the tools that's commonly used in the math courses is SPSS.

00:34:09.059 --> 00:34:13.994
Do you think that that's a valuable tool for statistics?

00:34:13.994 --> 00:34:18.795
Because there's a lot of math and statistics, so do you think that's a valuable tool?

00:34:19.385 --> 00:34:25.492
I don't teach statistics specifically and I'm not familiar with that tool, so I don't know, okay, okay, that's good to know.

00:34:25.492 --> 00:34:40.856
Yeah, what I do is statistics in a very generic way, is that I teach that when you have a set of data spread across some sort of a scale, it'll have some kind of a distribution.

00:34:41.737 --> 00:34:41.918
Right.

00:34:43.085 --> 00:34:48.018
Now here's the problem that a lot of statisticians have.

00:34:48.018 --> 00:34:59.353
One of the distributions that's very common is called a Gaussian distribution, the normal distribution, the bell curve, right, okay, and then they got versions that weren't slightly limited.

00:34:59.353 --> 00:35:00.588
But it's the bell curve.

00:35:00.588 --> 00:35:06.313
You got an average and you got what's called a standard deviation Goes out.

00:35:06.313 --> 00:35:22.963
Now a lot of distributions don't aren't a bell curve, but if you start taking samples and taking average of samples and creating new distributions, eventually you'll get a bell curve.

00:35:22.963 --> 00:35:29.327
That's called the central limit theorem, and so a lot of statisticians always want to make everything into a bell curve.

00:35:29.327 --> 00:35:34.677
The problem is there are certain distributions that that should never be done for.

00:35:34.677 --> 00:35:40.978
For example, you might have a bimodal distribution where you've got a bell curve here, a bell curve here and not much in between.

00:35:40.978 --> 00:35:43.512
Well, don't make one big bell curve out of it.

00:35:43.512 --> 00:35:51.250
You've got two, but the big one is this it's called the power law distribution and that's like this oh right.

00:35:51.269 --> 00:35:54.487
The power law distribution, which a lot of distributions today, very important ones.

00:35:54.487 --> 00:35:59.038
Standard deviation doesn't mean a damn thing in a bell curve.

00:35:59.038 --> 00:36:09.068
A standard deviation means something, and if you have, you wouldn't have eight sigma, for example, in a bell, in a bell curve, but a power distribution you do.

00:36:09.068 --> 00:36:18.019
And so they try to do a standard statistical analysis to this and you can't do it.

00:36:18.019 --> 00:36:21.333
The power law, now that's just a theoretical thing I'm telling you about.

00:36:21.333 --> 00:36:27.958
So, whatever statistics you take, you make damn sure that you study the power law quite differently.

00:36:29.146 --> 00:36:35.550
And, by the way, there are companies today that didn't do that, that have lost billions and billions and billions of dollars.

00:36:35.550 --> 00:36:42.842
It's a real problem today because a lot of things are parallel and you can have an eight sigma or a 10 sigma.

00:36:42.842 --> 00:36:46.952
Well, a good example would be incomes of American people.

00:36:46.952 --> 00:36:48.934
That's not a normal distribution.

00:36:48.934 --> 00:36:52.128
Don't try to make a normal distribution out of that.

00:36:52.128 --> 00:37:00.875
That is a parallel distribution and if you try to make a normal distribution out of it, your analysis is no good.

00:37:00.875 --> 00:37:07.753
Now, I'm not a statistician in terms of I don't get into the nitty-gritty of it and I don't teach that.

00:37:08.355 --> 00:37:08.596
Right.

00:37:08.905 --> 00:37:13.043
But I know that and so that's what I do Tell people about statistics.

00:37:13.043 --> 00:37:14.286
I'm not familiar with that tool you had.

00:37:14.286 --> 00:37:15.632
I don't know the tool.

00:37:15.632 --> 00:37:16.474
What was the tool called?

00:37:17.945 --> 00:37:20.114
SPSS is what they normally use.

00:37:20.114 --> 00:37:27.655
I don't know how far up they use it, but it's similar to Excel, but it's used for statistics.

00:37:28.318 --> 00:37:33.153
Well, Excel's a good tool if you know what you're doing.

00:37:33.153 --> 00:37:34.476
You know what the formula is being and all that.

00:37:34.476 --> 00:37:37.172
But I don't know that tool, so I can't comment on it.

00:37:37.713 --> 00:37:38.536
Right, that's okay.

00:37:38.536 --> 00:37:47.304
Yeah, and they, of course, as you know, statistics is taken in a PhD level and things like that, so I don't know.

00:37:47.465 --> 00:37:54.936
First, question I ask a statistician tell me the difference between a Gaussian distribution and a parallel distribution.

00:37:54.936 --> 00:38:00.429
Explain the difference, yeah, in general terms.

00:38:00.690 --> 00:38:01.271
General terms.

00:38:01.271 --> 00:38:03.034
Yeah, that's important.

00:38:03.034 --> 00:38:08.545
Wow, I love that you've created the Triad Math Foundation.

00:38:08.545 --> 00:38:12.856
So the Math Foundation that's part of the army right?

00:38:12.856 --> 00:38:13.947
Is that the umbrella?

00:38:14.126 --> 00:38:15.369
No, there's not a foundation.

00:38:15.831 --> 00:38:16.793
Oh, there's not a foundation.

00:38:16.793 --> 00:38:19.391
Okay, so there's just the.

00:38:19.411 --> 00:38:20.434
Triad Math Army.

00:38:20.434 --> 00:38:21.577
Well, not yet.

00:38:21.577 --> 00:38:22.059
There's not.

00:38:22.059 --> 00:38:23.885
One day there probably will be, but there's not yet.

00:38:24.445 --> 00:38:25.527
Okay, good to know.

00:38:25.648 --> 00:38:28.092
But what I've done is I've created the Triad Math Army.

00:38:28.773 --> 00:38:29.072
Okay.

00:38:29.715 --> 00:38:37.590
And when you join it you have access to all the math, all six tiers, and you and your family do Not just you, but your family.

00:38:37.590 --> 00:38:43.155
So if you've got an advanced math student, they can go in and get into some of the upper tiers pretty quick.

00:38:43.155 --> 00:38:47.474
But if you've got beginners, they just start at tier one.

00:38:47.474 --> 00:38:49.630
But it's also got all the wisdom tools.

00:38:49.630 --> 00:38:53.425
There's a bunch of those and those will take you years to use.

00:38:53.425 --> 00:38:56.853
I mean, it took me many decades really to learn them and use them.

00:38:56.853 --> 00:39:02.974
So different ones, you need different ones at different times and uh, but there's a lot of.

00:39:02.974 --> 00:39:04.885
You know, how can you be a good salesman?

00:39:04.885 --> 00:39:07.932
How do you deal with practical, difficult people?

00:39:07.932 --> 00:39:13.766
So I have to do that things like that how do you not lose an argument?

00:39:14.590 --> 00:39:14.690
I?

00:39:14.730 --> 00:39:15.686
never lose an argument.

00:39:15.766 --> 00:39:17.371
I don't always win an argument, but I never lose one.

00:39:17.371 --> 00:39:21.112
I love that, but there's a way to never lose an argument.

00:39:22.166 --> 00:39:25.079
Yeah, I love that, and by the way.

00:39:25.119 --> 00:39:37.898
The reason is, if you have an idea about something and you believe in some fact that you believe, to prove it you got to go all the way back to your basic assumptions, your basic fundamental beliefs.

00:39:38.440 --> 00:39:39.224
Right.

00:39:39.985 --> 00:39:44.277
And if you've got certain fundamental beliefs, you're right.

00:39:44.277 --> 00:39:46.873
But if you have different fundamental beliefs, you're wrong.

00:39:46.873 --> 00:39:49.873
And different people can have different fundamental beliefs.

00:39:49.873 --> 00:39:54.474
So one's right and one's wrong.

00:39:54.474 --> 00:39:57.514
So I want to find out what are your fundamental beliefs.

00:39:57.514 --> 00:40:04.253
So if you and I have an argument about something, I start asking you questions, trying to get back to what's your fundamental belief.

00:40:04.253 --> 00:40:06.190
It's kind of like proving a theorem.

00:40:06.190 --> 00:40:09.364
You've heard of the Pythagorean theorem, right, yes, You've heard of the Pythagorean theorem right.

00:40:12.068 --> 00:40:18.699
Yes, it's a theorem about if you've got a plane, a two-dimensional plane Pythagorean theorem.

00:40:18.699 --> 00:40:24.003
The question is is the Pythagorean theorem always true?

00:40:25.708 --> 00:40:26.929
Hmm, that's a good question.

00:40:26.929 --> 00:40:31.137
I would say probably no.

00:40:31.137 --> 00:40:36.985
Why that's a good question?

00:40:36.985 --> 00:40:40.548
I haven't used the Pythagorean theorem in a while, so I'm trying to remember.

00:40:40.548 --> 00:40:47.755
Yeah, that's probably why, because I probably didn't fully understand it when I first got it.

00:40:48.956 --> 00:41:00.757
If you have a plane that has zero curvature, the Pythagorean theorem is always true, and that was the implicit assumption of the Euclideans.

00:41:00.757 --> 00:41:05.737
So when you talk about Euclidean geometry, it's a plane with no curvature.

00:41:05.737 --> 00:41:12.677
Now, if you have a plane with any curvature in it, the Pythagorean theorem is not true.

00:41:12.677 --> 00:41:20.119
So, for example, we live on a two-dimensional plane surrounding a sphere Right.

00:41:20.119 --> 00:41:26.309
The Pythagorean theorem isn't true, and that's true of any.

00:41:26.309 --> 00:41:29.978
So any plane that had any curvature to it, the Pythagorean theorem is not true.

00:41:29.978 --> 00:41:37.077
Now, I didn't understand that for a long time, but I finally came up with a proof one day.

00:41:37.077 --> 00:41:46.460
The first proof of the Pythagorean theorem that people are aware of is in Euclid's Elements, proposition 47 of Book 1.

00:41:46.460 --> 00:41:50.695
And it's the damned most difficult proof I've ever seen of the Pythagorean Theorem.

00:41:50.695 --> 00:41:55.949
I don't know anybody that could reproduce it without going back and studying it based on what's called the windmill diagram.

00:41:55.949 --> 00:41:59.692
It's very difficult, so people came up with simpler proofs.

00:42:00.224 --> 00:42:03.916
There are many, many proofs now of the Pythagorean Theorem for a flat plane.

00:42:03.916 --> 00:42:18.340
I came up with one that's only three lines long, and it also demonstrated why the Pythagorean theorem was only true on a flat surface.

00:42:18.340 --> 00:42:18.822
I was so proud of that.

00:42:18.822 --> 00:42:22.184
This was about a few years ago and I thought man, I've never seen it anywhere.

00:42:22.184 --> 00:42:25.824
I've never seen a proof anywhere.

00:42:25.824 --> 00:42:26.827
Surely somebody else has done it.

00:42:26.827 --> 00:42:29.831
I can't believe I'm the first one to do it, but I've never seen it before.

00:42:29.831 --> 00:42:32.474
And I said well, it turned out there was another guy that did it.

00:42:32.474 --> 00:42:33.927
This proved it this way.

00:42:33.927 --> 00:42:35.911
His name was Albert Einstein.

00:42:37.896 --> 00:42:38.458
Oh, wow.

00:42:39.465 --> 00:42:45.371
And he understood curvature Right and a lot more than that.

00:42:45.824 --> 00:42:50.271
And, by the way, albert Einstein was not a great mathematician, he was a great physicist.

00:42:50.271 --> 00:42:59.938
He learned his mathematics from some other great mathematicians and he applied it to create a model that he believed would be true, based on basic assumptions.

00:42:59.938 --> 00:43:10.840
So now, in special relativity, time depends on the speed of something.

00:43:10.840 --> 00:43:14.614
If something starts going faster and faster, the clock slows down.

00:43:14.614 --> 00:43:18.833
Right, in fact, if you get up near the speed of light, the clock will stop.

00:43:18.833 --> 00:43:21.630
A photon traveling at a speed of light.

00:43:21.630 --> 00:43:24.117
If it had a clock in it, the clock is zero.

00:43:24.117 --> 00:43:31.358
A photon that started a billion years ago by our time still the same time today.

00:43:31.358 --> 00:43:33.219
That's special relativity.

00:43:33.219 --> 00:43:36.923
Then he discovered special relativity.

00:43:36.923 --> 00:43:38.070
The math's not too hard.

00:43:38.070 --> 00:43:40.664
Then he got general relativity 10 years later.

00:43:40.664 --> 00:43:46.333
That takes into account gravity and that really blew away.

00:43:46.333 --> 00:43:48.833
Physics, newtonian physics.

00:43:48.833 --> 00:43:54.880
And did you know that if you got two watches here and that really blew away?

00:43:54.880 --> 00:43:55.501
Physics, newtonian physics?

00:43:55.501 --> 00:44:00.108
And did you know that if you got two watches here and if you take one watch up, 10?

00:44:00.128 --> 00:44:00.429
feet in the air.

00:44:00.429 --> 00:44:00.708
It slows down.

00:44:00.708 --> 00:44:01.230
I'm sorry it speeds up.

00:44:01.230 --> 00:44:02.110
It speeds up.

00:44:02.110 --> 00:44:02.371
Oh, okay, wow.

00:44:03.152 --> 00:44:05.996
And that's all in his theory, his math theory.

00:44:05.996 --> 00:44:10.260
And if you didn't have the speed, it slows down.

00:44:10.260 --> 00:44:13.152
If it goes faster, it slows down.

00:44:13.152 --> 00:44:14.583
If it goes less gravity, it speeds up.

00:44:14.583 --> 00:44:19.050
If you didn't have those two correction factors, we would not have GPS today.

00:44:19.050 --> 00:44:21.190
You used GPS, right.

00:44:21.846 --> 00:44:22.610
Right, yeah.

00:44:25.257 --> 00:44:27.291
You couldn't make GPS with Newtonian physics.

00:44:27.291 --> 00:44:29.952
Most things you could do in Newtonian physics.

00:44:29.952 --> 00:44:32.532
That's an approximation of Einstein's physics.

00:44:32.532 --> 00:44:36.434
In ordinary situations it's very close.

00:44:36.434 --> 00:44:39.630
Life's interesting, isn't it?

00:44:40.590 --> 00:44:41.398
Wow, it is.

00:44:41.398 --> 00:44:42.025
It's fascinating and.

00:44:42.306 --> 00:44:43.773
I'm just beginning to tell you stuff.

00:44:44.465 --> 00:44:45.530
Wow, that's great.

00:44:45.530 --> 00:45:14.132
I know that my listeners will love all of this, especially the ones that teach math and teach science the STEM, like you mentioned, those on it and designing curriculum and being able to impact those that do teach and also the students as well.

00:45:14.132 --> 00:45:21.255
So it's a labor of love, right, as they say, when you're a teacher and when you design curriculum, it's a labor of love.

00:45:21.784 --> 00:45:24.271
Well, if they read this, yes, it is labor of love, that's right.

00:45:24.271 --> 00:45:26.335
I call that intrinsic motivation.

00:45:26.856 --> 00:45:27.038
Yes.

00:45:27.545 --> 00:45:34.072
And you should do in your life things you're intrinsically motivated to do, and hopefully some of them will make you some money.

00:45:34.072 --> 00:45:39.434
Right, and by the way, I talk about in my wisdom tool money.

00:45:39.434 --> 00:45:40.496
The good, the bad and the ugly.

00:45:40.496 --> 00:45:42.512
Financial freedom and all that.

00:45:42.512 --> 00:45:45.913
I achieved financial freedom when I was 17 years old.

00:45:49.342 --> 00:45:49.864
I'll tell you how it is.

00:45:49.864 --> 00:45:50.164
That's amazing.

00:45:50.385 --> 00:45:53.246
Now, this book I explain a lot of that my history.

00:45:53.246 --> 00:45:55.074
The first three parts are a lot of my history.

00:45:55.074 --> 00:45:57.833
Part four is what's Wrong with Public School Math.

00:45:57.833 --> 00:45:59.471
Part five is my New Program.

00:45:59.471 --> 00:46:22.626
So you get this book and then at the end there's a special offer a link they can go to to get a special offer, a link they can go to to get a special offer and the special offer will enroll them in the Army for $30 a month, but the first 30 days are free if they don't love it, that's great and once they're in the Army, if they recruit other Army members, I pay them to do it.

00:46:23.610 --> 00:46:35.753
You can actually join the Army if you're a good communicator, you can get other people to join the Army and get paid to do that and you can make.

00:46:35.773 --> 00:46:41.853
There's no limit on how much you can make, depending on how many people you could recruit, wow, so there's a benefit to bringing others in to the program that's right, wow, that's great.

00:46:41.853 --> 00:46:52.478
I'll make sure to link all of your um your website and also at the army as well, and and link everybody to that so that they can make sure to check that out, because I think that's wonderful.

00:46:52.478 --> 00:46:55.596
I've been on your website and, yeah, it's amazing.

00:46:55.978 --> 00:46:56.278
I love it.

00:46:56.278 --> 00:46:56.739
What's the website?

00:46:56.739 --> 00:46:57.664
I've got lots of them.

00:46:57.664 --> 00:46:58.025
Which one?

00:46:59.869 --> 00:47:01.775
Your Craig Hayne website yeah.

00:47:02.467 --> 00:47:03.371
Go to the video library.

00:47:03.371 --> 00:47:04.771
If you're interested in math at all, just go there.

00:47:04.771 --> 00:47:07.735
There's all kinds of videos about math.

00:47:07.735 --> 00:47:12.070
It's not training, it's just interesting things about math.

00:47:12.070 --> 00:47:16.222
By the way, there's three videos that are the concepts of calculus about an hour.

00:47:16.304 --> 00:47:28.277
You learn the concept of calculus about an hour wow, oh my goodness, that would be amazing, because I think now I have uh, I'm not afraid of math anymore after talking to you, so it's great.

00:47:29.097 --> 00:47:30.706
No, you won't be as a matter of fact.

00:47:30.706 --> 00:47:37.275
And then what I do with people, I have what I call the million-dollar gift.

00:47:37.275 --> 00:47:58.893
If somebody really believes in the TriMath Army, I have them deal with me directly and they go through, at least through tier two of the math and then some of the wisdom tool, and then if they want to go out and really promote it as an affiliate to make money I hope I'm do that.

00:47:58.893 --> 00:48:11.144
In fact I'm I'm looking to have someday somebody become financially independent as a triad math army member just by recruiting other members wow, that's amazing.

00:48:11.585 --> 00:48:13.168
I love that maybe that'll be you.

00:48:13.168 --> 00:48:33.199
Yeah, you never know, you never know so yeah and I think that we can stay in in touch with each other and and definitely and I'd love to have you back on again and we can talk about some other things too when, when it comes to the army, the math army and things like that, because I think it's really amazing.

00:48:33.518 --> 00:48:33.960
Yeah, I love it.

00:48:33.960 --> 00:48:34.760
Well, we can talk about that.

00:48:34.760 --> 00:48:38.735
And then I can tell you some things about you might want to do a special program on theoretical math.

00:48:38.735 --> 00:48:51.773
I can just tell you a lot of things that intuitively will blow your mind, I'm sure, about theoretical math, and to me it's just mind-blowing.

00:48:51.773 --> 00:48:53.309
And then we can talk about a lot of other things.

00:48:53.309 --> 00:48:54.550
There's all sorts of things we can talk about.

00:48:54.550 --> 00:48:57.193
Tribalism is a big thing today.

00:48:57.193 --> 00:49:08.172
I love talking about tribalism and, by the way, I have published a book by an author whose pen name is T Ruth Galore, on an inconvenient lie.

00:49:08.172 --> 00:49:12.489
You know Al Gore's book An Inconvenient Truth.

00:49:13.152 --> 00:49:13.333
Yes.

00:49:14.695 --> 00:49:15.157
Well, it wasn't.

00:49:15.157 --> 00:49:18.074
It was a lie, an inconvenient lie, and I explained why.

00:49:18.074 --> 00:49:19.760
The book explains why I don't do it.

00:49:19.760 --> 00:49:29.400
It's not me, I'm not the author, but I've read this book and published it on Amazon and I think it's true.

00:49:29.400 --> 00:49:33.090
So we can talk about that sometime if you want to.

00:49:33.873 --> 00:49:34.454
That would be great.

00:49:34.454 --> 00:49:35.157
I'd love that.

00:49:35.157 --> 00:49:37.391
Well, thank you so much for your time.

00:49:37.391 --> 00:49:38.034
Thank you.

00:49:38.034 --> 00:49:39.668
And I love that.

00:49:39.668 --> 00:49:42.536
You're making a difference all around.

00:49:42.536 --> 00:49:54.217
It seems like you're making a difference in the world too, because you're helping students and individuals to not be afraid of math anymore and to also have those wisdom skills that they need in life.

00:49:54.217 --> 00:49:55.226
So that's great.

00:49:55.246 --> 00:49:55.688
I love it.

00:49:55.688 --> 00:49:56.269
That's my mission.

00:49:56.269 --> 00:49:57.231
That's why I live today.

00:49:57.231 --> 00:49:58.757
I've traveled the world.

00:49:58.757 --> 00:49:59.865
I've had an exciting life.

00:49:59.865 --> 00:50:02.088
You can tell how old I am looking at me right.

00:50:02.088 --> 00:50:04.672
How old do you think I am?

00:50:04.672 --> 00:50:08.057
Just take a quick guess 70, maybe.

00:50:08.057 --> 00:50:09.340
That's a good guess.

00:50:09.340 --> 00:50:10.686
By the way, I have no aches, no pains.

00:50:10.686 --> 00:50:11.568
I don't take any medicine.

00:50:11.568 --> 00:50:12.311
I'm very active.

00:50:13.454 --> 00:50:13.735
I love it.

00:50:14.085 --> 00:50:23.074
I was born, my third birthday was one week before Pearl Harbor.

00:50:23.074 --> 00:50:27.992
Pearl Harbor happened one week after my third birthday, so you can figure it out.

00:50:28.726 --> 00:50:30.028
Yeah, we can do the math.

00:50:30.028 --> 00:50:30.891
I love it All right.

00:50:31.291 --> 00:50:32.996
Thank you, dr Payne, appreciate it.

00:50:32.996 --> 00:50:33.597
Thank you.

00:50:35.188 --> 00:50:38.356
Thank you for taking some time to listen to this podcast episode today.

00:50:38.356 --> 00:50:40.652
Your support means the world to me.

00:50:40.652 --> 00:50:49.376
If you'd like to help keep the podcast going, you can share it with a friend or colleague, leave a heartfelt review or offer a monetary contribution.

00:50:49.376 --> 00:50:54.940
Every act of support, big or small, makes a difference and I'm truly thankful for you.