Which of the following is the LEAST effective way of developing algebraic thinking among learners?

Question

Which of the following is the LEAST effective way of developing algebraic thinking among learners?

Exploring numerical situations, rather than just computing
Encouraging students to make their own generalisations
Solving linear equations in one variable and two variables
Asking the students to decide whether the following conjecture, "If we multiply any whole number by 2, the answer will be an even number" is true or false?

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : Solving linear equations in one variable and two variables

Algebraic thinking includes recognizing and analyzing patterns, studying and representing relationships, making generalizations, and analyzing how things change. This should be developed in the children in a step-by-step manner so that they can progress through understanding, not through rote methods.

Solving linear equations in one variable and two variables is the least effective way of developing algebraic thinking among learners because

The concept of algebraic thinking progresses from concrete to abstract.
Exploring many numeric situations with comprehension develops algebraic thinking in children.
As children form equations from the word problems given to them they progress a step ahead in this.
On the other hand, directly solving linear equations in one variable and two variables makes children ambiguous about the concept and algebraic thinking may remain till the classroom itself.

Hence Solving linear equations in one variable and two variables is the least effective way of developing algebraic thinking among learners.

On the other hand exploring numerical situations, rather than just computing, encouraging students to make their generalizations, and asking the students to decide whether the conjecture is true or false are good and effective ways of developing algebraic thinking in the children because here the children are given the freedom to explore and generalize on their own.