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Those who do not appreciate math are those who do not understand what math is all about. That is why the nature of math desperately needs to be explained. Simply put, math is about solving problems.
 
Ever since there were humans in existence, there have been problems to solve. Whether the problems were over basic requirements like sustaining sufficient amounts of food or major accomplishments like constructing multifunctional homes, problems such as these remain with us to this day. The peculiar thing about problems is that they all have similar properties.
 
Successful problem solvers are able to understand what is expected of the problems they face. In other words, they know all of the details surrounding the problem at hand, which is the most important step to solving problems. It requires an attention to detail and therefore patience. After examining the details, intelligent choices need to be made as well as the beginning steps of developing a strategy. The plan must be carried out in an order that makes sense. So careful planning, possibly by justifiable experimentation, must take place. Once an actual solution is obtained, it must be tested to determine whether or not it is reasonable.
 
Every math problem that gets discussed, handled, and assigned forces us to use many, if not all, of the detailed methods of problem solving. Each individual problem becomes a small but important lesson for solving problems in general. Math is traditionally learned by first doing many smaller problems. Then the small problems are put together to solve bigger problems. For instance, in order to solve algebraic equations, being knowledgeable about addition, subtraction, multiplication, and division is a must. Ordering the steps to be carried out, evaluating expressions, and learning how and when equations are used must be learned, too.

Which professions use math?
Here is a small list of math orientated careers:

• Accountants assist businesses by working on their taxes and planning for upcoming years. They work with tax codes and forms, use formulas for calculating interest, and spend a considerable amount of energy organizing paperwork. 
• Agriculturists determine the proper amounts of fertilizers, pesticides, and water to produce bountiful amounts of foods. They must be familiar with chemistry and mixture problems. 
• Architects design buildings for structural integrity and beauty. They must know how to calculate loads for finding acceptable materials in design, which involved calculus. 
• Biologists study nature to act in concert with it since we are so closely tied to nature. They use proportions to count animals as well as use statistics/probability. 
• Chemists find ways to use chemicals to assist us which entails purifying water, dealing with waste management, researching superconductors, analyzing crime scenes, making food products, working with biologists to study the human body
• Computer Programmers create complicated sets of instructions called programs/software to help us use computers to solve problems. They must have a strong sense of logic and have critical thinking and problem solving skills. 
• Engineers (Chemical, Civil, Electrical, Industrial, Material) build products/structures/systems like automobiles, buildings, computers, machines, and planes, to name just a few examples. They cannot escape the frequent use of a variety of calculus. 
• Geologists use mathematical models to find oil and study earthquakes. 
• Lawyers argue cases using complicated lines of reason. That skill is nurtured by high level math courses. The also spend a lot of time researching cases, which means learning relevant codes, laws and ordinances. Building cases demands a strong sense of language with specific emphasis on hypotheses and conclusions.
• Managers maintain schedules, regulate worker performance, and analyze productivity. 
• Medical Doctors must understand the dynamic systems of the human body. They research illnesses, carefully administer the proper amounts of medicine, read charts/tables, and organize their workload and manage the duties nurses and technicians. 
• Meteorologists forecast the weather for agriculturists, pilots, vacationers, and those who are marine dependent. They read maps, work with computer models, and understand the mathematical laws of physics. 
• Military Personnel carry out a variety of tasks ranging from aircraft maintenance to following detailed procedures. Tacticians utilize a branch of mathematics called linear programming.