"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.

Related Questions

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Dyslexia is a perceptual disorder often occurring in persons of normal, or even above average intelligence. The reader is unable to perceive correctly what is on a page. Letters and numbers often appear reversed: "b" seems to be "d","quite" is "quiet" and "from" is "form". The reader tends to leave out letters or words or insert words or letters that are not there. Vowel and consonant sounds may be confused. Many dyslexics are left­handed or able to write with either hand. They often confuse left and right. Learning to speak may also be delayed beyond infancy. The condition seems to be inherited. It may persist into adulthood. However, with early recognition and specialized approaches to teaching reading, most dyslexics can learn to read. Some researchers believe that latent dyslexia may be aggravated by the way reading is taught. The modern whole­word, or look­and­say, method seems to be more of a hindrance to learning for dyslexics than it is for ordinary pupils. The phonetic method of teaching students to learn letters and sound them out appears to achieve better reading results. The problem of words that cannot be sounded out ­ such as rough, laugh or through ­ is not solved by phonetics. These words must simply be memorized. However, for children with dyslexia the problem can be compounded by the failure of parents or teachers to recognize the condition. This can easily lead to emotional problems for dyslexic children, who cannot understand their failure to keep up with their classmates.
In Dyslexia, letters and figures often appear __________
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Dyslexia is a perceptual disorder often occurring in persons of normal, or even above average intelligence. The reader is unable to perceive correctly what is on a page. Letters and numbers often appear reversed: "b" seems to be "d","quite" is "quiet" and "from" is "form". The reader tends to leave out letters or words or insert words or letters that are not there. Vowel and consonant sounds may be confused. Many dyslexics are left­handed or able to write with either hand. They often confuse left and right. Learning to speak may also be delayed beyond infancy. The condition seems to be inherited. It may persist into adulthood. However, with early recognition and specialized approaches to teaching reading, most dyslexics can learn to read. Some researchers believe that latent dyslexia may be aggravated by the way reading is taught. The modern whole­word, or look­and­say, method seems to be more of a hindrance to learning for dyslexics than it is for ordinary pupils. The phonetic method of teaching students to learn letters and sound them out appears to achieve better reading results. The problem of words that cannot be sounded out ­ such as rough, laugh or through ­ is not solved by phonetics. These words must simply be memorized. However, for children with dyslexia the problem can be compounded by the failure of parents or teachers to recognize the condition. This can easily lead to emotional problems for dyslexic children, who cannot understand their failure to keep up with their classmates.
The problem of perception can be compounded by the failure of parents and teachers to
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Dyslexia is a perceptual disorder often occurring in persons of normal, or even above average intelligence. The reader is unable to perceive correctly what is on a page. Letters and numbers often appear reversed: "b" seems to be "d","quite" is "quiet" and "from" is "form". The reader tends to leave out letters or words or insert words or letters that are not there. Vowel and consonant sounds may be confused. Many dyslexics are left­handed or able to write with either hand. They often confuse left and right. Learning to speak may also be delayed beyond infancy. The condition seems to be inherited. It may persist into adulthood. However, with early recognition and specialized approaches to teaching reading, most dyslexics can learn to read. Some researchers believe that latent dyslexia may be aggravated by the way reading is taught. The modern whole­word, or look­and­say, method seems to be more of a hindrance to learning for dyslexics than it is for ordinary pupils. The phonetic method of teaching students to learn letters and sound them out appears to achieve better reading results. The problem of words that cannot be sounded out ­ such as rough, laugh or through ­ is not solved by phonetics. These words must simply be memorized. However, for children with dyslexia the problem can be compounded by the failure of parents or teachers to recognize the condition. This can easily lead to emotional problems for dyslexic children, who cannot understand their failure to keep up with their classmates.
Dyslexia, often occurring in persons of normal, or even above average intelligence, is a __________
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Dyslexia is a perceptual disorder often occurring in persons of normal, or even above average intelligence. The reader is unable to perceive correctly what is on a page. Letters and numbers often appear reversed: "b" seems to be "d","quite" is "quiet" and "from" is "form". The reader tends to leave out letters or words or insert words or letters that are not there. Vowel and consonant sounds may be confused. Many dyslexics are left­handed or able to write with either hand. They often confuse left and right. Learning to speak may also be delayed beyond infancy. The condition seems to be inherited. It may persist into adulthood. However, with early recognition and specialized approaches to teaching reading, most dyslexics can learn to read. Some researchers believe that latent dyslexia may be aggravated by the way reading is taught. The modern whole­word, or look­and­say, method seems to be more of a hindrance to learning for dyslexics than it is for ordinary pupils. The phonetic method of teaching students to learn letters and sound them out appears to achieve better reading results. The problem of words that cannot be sounded out ­ such as rough, laugh or through ­ is not solved by phonetics. These words must simply be memorized. However, for children with dyslexia the problem can be compounded by the failure of parents or teachers to recognize the condition. This can easily lead to emotional problems for dyslexic children, who cannot understand their failure to keep up with their classmates.
People suffering from dyslexia are often ___________
Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.
Dyslexia is a perceptual disorder often occurring in persons of normal, or even above average intelligence. The reader is unable to perceive correctly what is on a page. Letters and numbers often appear reversed: "b" seems to be "d","quite" is "quiet" and "from" is "form". The reader tends to leave out letters or words or insert words or letters that are not there. Vowel and consonant sounds may be confused. Many dyslexics are left­handed or able to write with either hand. They often confuse left and right. Learning to speak may also be delayed beyond infancy. The condition seems to be inherited. It may persist into adulthood. However, with early recognition and specialized approaches to teaching reading, most dyslexics can learn to read. Some researchers believe that latent dyslexia may be aggravated by the way reading is taught. The modern whole­word, or look­and­say, method seems to be more of a hindrance to learning for dyslexics than it is for ordinary pupils. The phonetic method of teaching students to learn letters and sound them out appears to achieve better reading results. The problem of words that cannot be sounded out ­ such as rough, laugh or through ­ is not solved by phonetics. These words must simply be memorized. However, for children with dyslexia the problem can be compounded by the failure of parents or teachers to recognize the condition. This can easily lead to emotional problems for dyslexic children, who cannot understand their failure to keep up with their classmates.
Dyslexia may ___________