Introduction to Mathematics
Author: Manuel R. CortezRodas
We are reaching the limit of our school year, and we must take time to review the material that has been presented to our learners so they may study and learn from it. Students should have an understanding of the material that we have presented to them this school year. Students will benefit in their understanding of the material if they are to apply what they have learned, and further develop critical thinking skills based on their education thus far.
Mathematics
Defining mathematics requires the establishment of a number system. Numbers must be established before we can begin to define mathematics. Mathematics can be defined at its foundation as the study of numbers. How numbers are defined, arranged, and the patterns they form. How numbers interact when performing specific functions and operations, and the results they provide.
Introduction to Mathematics
Students are introduced to mathematics through instruction in the following three areas: Arithmetic, Algebra, and Geometry. Arithmetic introduces students to numbers and counting concepts. Algebra introduces students to groupings and operations of arithmetic. Geometry introduces students to space and dimensions by presenting figures and shapes for study.
Instruction should be presented in a balanced format that allows for presentation by age, grade and skill level. The measurement of comprehension in mathematics should be measured in the following four areas: Single Problem - Single Solution, Single Problem - Multiple Solutions, Multiple Problems - Single Solution, and Multiple Problems- Multiple Solutions. Application of the areas that are introduced in mathematics include arts, currency, distance, engineering, science, and time.
We should establish in students an interest in mathematics early on. We should continue our student's the development of mathematics. We should expand our student's understanding of mathematics. We should introduce students to the various specific areas of mathematics, so that they may have a diverse exposure and understanding of the subject of mathematics. It is also our responsibility as educators to allow for the exploration and development of mathematical thought in our students, for this will lead to the growth and expansion of the continuation into further mathematics.
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