Mathematics is an old, broad, and deep discipline (field of study). People working to improve math education need to understand “What is Mathematics?”
A Tidbit of History
Mathematics as a formal area of teaching and learning was developed about 5,000 years ago by the Sumerians. They did this at the same time as they developed reading and writing. However, the roots of mathematics go back much more than 5,000 years. Throughout their history, humans have faced the need to measure and communicate about time, quantity, and distance. The Ishango Bone (see ahttp://www.math.buffalo.edu/mad/Ancient-Africa/ishango.html and http://www.naturalsciences.be/expo/ishango/en/ishango/riddle.html) is a bone tool handle approximately 20,000 years old.
Mathematics is the study of topics such as quantity (numbers). There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof.
When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
CBSE class 9 Mathematics Syllabus
CBSE class 10 Mathematics Syllabus
CBSE class 11 Mathematics Syllabus
CBSE class 12 Mathematics Syllabus
ICSE class 9 Mathematics Syllabus
ICSE class 10 Mathematics Syllabus
ICSE class 11 Mathematics Syllabus
ICSE class 12 Mathematics Syllabus
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