Understanding Mathematics: Concepts, Learning Strategies, and Applications
Explore articles that help you understand mathematics more deeply, study more effectively, and see how mathematical ideas connect to the world around you. These posts complement our free video courses by focusing on concepts, learning strategies, applications, and tools that help students build confidence in mathematics.
Learning Strategies
Practical advice for studying mathematics, preparing for exams, building confidence, using guided notes, managing time, and developing stronger learning habits.
Mathematical Concepts
Clear explanations of important mathematical ideas, from algebra and trigonometry to calculus, linear algebra, and differential equations.
Applications and Tools
Articles that show how mathematics is used in the real world, along with technology tools that support learning, visualization, and problem solving.
Desmos
Overleaf
About Dr. Cheryl Hile
Understand The Math was created by Dr. Cheryl Hile, who earned a Ph.D. in Engineering Science and Applied Mathematics from Northwestern University. She has more than 25 years of experience teaching mathematics at the university level, including 20 years at Penn State. The lessons and guided notes on this site are based on materials she developed for her university courses.