"Algebraic thinking involves generalisation and symbolisation". Which of the following explains the meaning of the given statement? (a) Algebraic equations are solved by using mathematical symbols hence these symbols should be memorized (b) Algebra involves the process of creating generalizations from arithmetic (c) Algebra involves representing patterns and regularities in our world (d) Algebra is more abstract and symbolic hence cannot be taught through concrete experiences Choose the correct option.
"Algebraic thinking involves generalisation and symbolisation". Which of the following explains the meaning of the given statement? (a) Algebraic equations are solved by using mathematical symbols hence these symbols should be memorized (b) Algebra involves the process of creating generalizations from arithmetic (c) Algebra involves representing patterns and regularities in our world (d) Algebra is more abstract and symbolic hence cannot be taught through concrete experiences Choose the correct option. Correct Answer (b) and (c)
Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas, it is a unifying thread of almost all of mathematics. Key Points
- Generalization in algebra means examining varying quantities and describing relationships that exist among cases for a particular situation.
- Symbolisation in algebra means that Algebra is a part of mathematics that deals with symbols and the rules for manipulating those symbols. In algebra, those symbols represent quantities without fixed values, called variables.
- Algebra involves the process of creating generalizations from arithmetic.
- Algebra involves representing patterns and regularities in our world.
Hence B & C are the correct options. Additional InformationThe remaining two options are wrong as they don't point toward the importance and usage of generalization and symbols in algebra.