A math teacher is responsible for instructing students in mathematics. He or she may teach one or many types of math, such as algebra, geometry, or calculus. Math teachers can work at the secondary school level or the college level. They must have a solid understanding of all the mathematical concepts in the subjects they are teaching, and also need to know the educational standards for what must be covered in each.
In order to prepare for each day's class, a math teacher will develop lesson plans. A lesson plan is a guide for what the teacher wants to teach that day, including the concepts to be covered, how long it will take to discuss each topic, and problems for the students to practice. Often the lesson plan will follow the topics covered in the course textbook. The level of detail in the lesson plan will likely depend on the teacher's level of comfort with the material.
Once the lesson is developed, the math teacher must then deliver it to the class. This may be accomplished in different ways, depending on the material being covered and the teacher's preference. A lecture, where the teacher is doing most of the speaking to convey information and also answering questions, may be most appropriate. It may be useful for students to spend a portion of the lesson reading from the textbook. A more interactive approach, where students work together in pairs or groups to discuss concepts, could also be used.
Typically, a math teacher will assign homework to ensure that the students have absorbed the concepts taught during the lesson and give them a chance to practice. The teacher may design his or her own homework problems, or assign ones from the textbook. He or she will set a deadline for the homework to be turned in, usually the following day. It is then the teacher's responsibility to check it and provide feedback to the students so they know what areas they have understood and where they need improvement.
Once the teacher has taught a certain number of lessons, he or she will normally test the class. Tests will often cover a variety of related topics and will require the students to know the appropriate theories, equations, and formulas. The math teacher may develop new tests each time or re-use previous exams if that is appropriate. After the students have taken the test, the teacher will then need to check and grade them.