Multiplying and dividing large numbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study—such as algebra, geometry, and calculus—and to discover new levels of confidence in dealing with the math of everyday life.
We all know that beneath the surface of music, beyond the joy or excitement or even heartache that this beautiful language of sound can stir within us, lies the often mysterious realm of music theory—a complex syntax of structural and instrumental resources that composers may draw on. No matter what kind of music we listen to—symphony or string quartet, saxophone solo or vocal ballad, hip hop or Gregorian chant—we feel the impact of that music and have done so all our lives, even though we may not know how such impact is achieved, or understand the fundamental processes of musical composition. But what if we did understand how certain musical effects were achieved? What if we could learn to follow the often-intimidating language of key signatures, pitch, mode, melody, meter, and other parts of musical structure used by composers? What if we could recognize these various components at work as we listened to our favorite music? What if we could "speak" the language of Western music?
Great photography goes beyond knowing about how lenses and f-stops work. It’s about creative problem solving under real-world conditions. Taking great photographs means knowing how to choose the right tool or apply the right technique to capture your subject in the best possible way. Photographers who wish to excel—professional and recreational alike—need to have a solid foundation of technical skills and the ability to apply that knowledge intuitively to a wide range of scenarios and subjects.
Photographs are more than just snapshots. When taken the right way, they become dramatic personal statements with the power to last forever. They can transport you to distant landscapes, capture fleeting emotions, recall cherished memories, reveal the beauty of daily life, and even change the world.