In contemporary education, mathematics education has been the process of learning and teaching mathematics, in addition to the related scientific research. There are different forms of mathematics, such as arithmetic, algebra, geometry, calculus, etc. There are also different topics involved in it, such as probability, statistics, and computing. Some topics that are usually taught in the curriculum of mathematics to include algebra, algebraic equations, finite and infinite numbers, differential calculus, algebraic expressions, geometric objects, probability theory, finite elements, functions, properties of real and complex variables, and discrete math.
Algebra is one of the subtopics in mathematics education. It deals with ordering the various elements of a number so that they can be added, subtracted or multiplied by other numbers. It also involves finding the solutions of many algebraic equations. Thus, it enables students to solve problems involving multiplication, division, addition, subtraction, and multiplication. Other topics taught in this sub-field are algebraic equations, geometry, calculus, and statistics.
Geometry deals with shapes, lines, and its geometric properties. Geometric properties of a shape describe its size, shape, and position in space. The subject includes the study of polygon, construction, optimization, and graphs. Ordinary and complicated geometrical shapes, area, volume, perimeter, and measure are some of the important concepts taught in this subject. Astronomy, topology, and calculus are other important topics taught in mathematics education.
The subject of statistics deals with gathering data and calculating the results. Students learn to study statistics by performing basic operations on numbers. Examples of concepts in statistics include probability, statistics, and regression. Some topics taught in mathematics curricula for teachers covering teaching and learning of mathematics also deal with the topics of graphing, calculations, and estimation among others.
Another interesting field of mathematics education is that of scientific research. Some interesting topics taught in this field are Genetics, Space Science, and Astrology. In addition, the subject also deals with applications and methods of scientific research to education. For instance, a researcher can choose to be a research associate, a research technician, or even a researcher. Having an educational background in this field can also be advantageous when looking for jobs in the scientific research industry.
These are just some of the areas of mathematics education that a student can learn. A student can take up mathematics at any age. However, it is better for them if they start teaching and learning mathematics at a very early age. If one is not interested in teaching, then becoming a teacher is highly recommended. This is because there are more teaching jobs in this field than any other.
To get more details about this topic, see here: https://www.encyclopedia.com/science-and-technology/mathematics/mathematics/mathematics.