Discover how logical reasoning, clear definitions, and engaging dialogues between John and Jane turn confusing high-school mathematics into a subject that finally makes sense, reduces anxiety, builds confidence, and prepares curious students for university, STEM careers, and real-world problem solving in a supportive, step-by-step booklet designed for learners, tutors, contest coaches, and parents who believe mathematics should feel challenging, enjoyable, absolutely logical, and deeply rewarding every single day to everyone.
About AUTHOR
Emanouil Blias
Emanouil Blias has spent more than three decades helping students move from memorization to understanding in mathematics classrooms and tutoring spaces alike.
Trained as a Doctor of Sciences in Physics and Mathematics, a degree awarded by the Higher Attestation Committee of the Russian Federation in Moscow in 1990, Blias built his academic foundation in a system known for rigorous theoretical training and disciplined mathematical reasoning.
He later served as a full professor at Murmansk Technical University and as head of the Mathematics Department at Murmansk Lyceum, where he worked with advanced students, Olympiad competitors, and learners who once believed mathematics was beyond them.
His career has crossed continents, including many years teaching and tutoring in both Russia and Canada.
What distinguishes his approach is simple but powerful: he refuses to treat students as passive recipients of rules.
Instead he encourages them to question, define ideas carefully, and justify each conclusion they reach.
Everything in Mathematics Makes Sense reflects the explanations he refined across classrooms, math circles, and private tutoring sessions over many years.
For Emanouil Blias, mathematics is not about speed or tricks. It is about disciplined thinking, intellectual honesty, and understanding.
About Book
This book is written not only for students who understand mathematics but also for those who do not but are planning to contimie 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 mathematies is not a memerization of a set of rules and recipes that most students will forper soon after the final exam.
Teaching mothematies should be based on the developmem of mathematical thinking, based un creativity. logic, the ability to prove statements, establishing logical connections and solving non-standard problems
The study of mathematics should stimulare the development of mental abilities and imellectual 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 eustest subject to “make sense, because EVERY THING in elementary mathematics makes sense if logically supported and clearly explained!
This book could be used as a glossary with definitions of 240 besic mathematical notions.
“Don’t worry too much about your difficulty in mathematics. I can assure you that mine are still greater.” Albert Einstein
Watch Video Trailer
Watch the trailer to see how a simple conversation can transform the way students think about mathematics.
TESTIMONIALS
LOOK WHAT OUR CLIENTS SAY!
Educators, students, and parents are already responding to the way this book treats teenagers as serious thinkers while still keeping the tone warm, conversational, and sometimes gently humorous. Here is what early readers say.
“After twenty years in the classroom, this is the first resource I have seen that teaches proofs in the same language my students actually speak. The dialogues make abstract ideas surprisingly approachable.”
“I used to memorize steps the night before a test and forget them a week later. Working through John and Jane’s questions helped me understand what I am doing and why it works.”
“The fifty diagnostic problems and the large bank of follow-up exercises are perfect for math-club sessions. They let me check conceptual gaps quickly and show students how logical tools power contest solutions.”