Introduction to Pure Mathematics for Advanced High School Students Lesson 1 – Logic – Statements and Truth Hi everyone! I have decided to create a series of math lessons in an attempt to expose advanced high school students to pure mathematics. I am making the first lesson available for free. Here are a few of the reasons I have decided to create these lessons: As a math professor, I have always found it to be unfortunate that most students that decide to become math majors are not exposed to real theoretical mathematics until their sophomore year of college. The high school curriculum in the US is full of computational math like algebra, trigonometry, and calculus. There is an extreme lack of pure mathematics being done in the classroom. How is a student supposed to know that they want to be a math major if they never have the opportunity to experience any pure mathematics? I hope to offer students the ability to give math a “trial run” before making an important life decision. Students who put in some time and effort to understand and solve problems in pure mathematics will improve their mathematical skill level much more than if they just complete nonrigorous high school mathematics such as calculus. This will have a real effect on their performance on standardized tests like the SAT and ACT, and their success in college. I hope that some high schools will eventually follow my lead and start offering a math course that gives an introduction to pure mathematics for their stronger math students that are considering becoming math majors. The lessons I will be making available will cover topics in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. There are no prerequisites for using these lessons, although later lessons may require some knowledge from previous lessons. This does not mean that they are easy. Many of the problems included in these lessons require more advanced reasoning skills than any of the problem types done in typical high school math classes. Working through these lessons will help to develop those reasoning skills. The first lesson that I have made available today covers basic sentential logic. The free version of this product includes a PDF file with notes followed by a problem set. The problems are broken down into five levels of difficulty. This product is available at my Teachers Pay Teachers store here: Lesson 1 – Logic – Free Version The paid version of this product (a small fee) also includes a second PDF file consisting of solutions to all the problems. The paid version can be found here: Lesson 1 – Logic – Paid Version After taking a look at the first lesson, I’d love to hear your feedback. Please feel free to email me with your comments and questions at steve@SATPrepGet800.com. If you think your friends might be interested in this lesson, please share it with them on Facebook: Thank you all for your continued support! Important update: Once the 16 lessons were completed, I decided to put them all into a single book called Pure Mathematics for Beginners. You can find the complete book on Amazon here: Pure Mathematics for Beginners on Amazon Comments comments