When looked at from afar, a page of mathematical formulas and one of music resemble each other. The similarities go deeper than the look of the page. Both Music and Mathematics abound with numbers, proportions, recurring patterns, formulas, structures stacked inside other structures.
Young students can develop an intuitive understanding of such common elements early in life by learning music. The piano, on which the relationships have also a visual component is an ideal instrument for this purpose. School-aged children can benefit from practicing in a musical setting the same topics they learn in math (numbers, arithmetic operations, fractions, functions, graphs, etc.) The conscious approach to learning developed during the study of piano gives the students the mental tools necessary to surpass other academic challenges
The study of both Music and Mathematics involves acquiring three kinds of knowledge: factual, procedural and conceptual. Students who can distinguish between the three, and know how to approach each one learn more effortlessly, and build a strong foundation for further learning. Conceptual knowledge, the hardest one to acquire, is fostered by looking at the same topic from different angles. It is also the kind of knowledge which brings the most joy from learning.