Logical Reasoning and Proofs in High School Mathematics (Volume 2): Everything in Mathematics Makes Sense

This book is written not only for students who understand mathematics but also for those who do not but are planning to continue their education at university, take mathematical courses and want to avoid a lot of pain and frustration. This book will also be useful for enthusiastic secondary school teachers, who know that study of mathematics is not a memorization of a set of rules and recipes that most students will forget soon after the final exam. Teaching mathematics should be based on the development of mathematical thinking, based on creativity, logic, the ability to prove statements, establishing logical connections and solving non-standard problems. The study of mathematics should stimulate the development of mental abilities and intellectual growth. Many students have difficulty mastering the mathematical disciplines taught at school, not because they “lack” the ability, but because they are not taught to understand them. After studying this book, students will see that mathematics is the easiest subject to “make sense”, because EVERYTHING in elementary mathematics makes sense if logically supported and clearly explained! This book could be used as a glossary with definitions of 240 basic mathematical notions. “Don’t worry too much about your difficulty in mathematics. I can assure you that mine are still greater.” Albert Einstein.