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A teacher asked the class to subtract 5 from 75.70% of the class said: 25. Their work was shown as: \(\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} 7&5 \end{array}}\\ {\underline {\begin{array}{*{20}{c}}\ { - 5} \ \ \ &{} \end{array}} }\\ {\underline {\begin{array}{*{20}{c}} 2&5 \end{array}} } \end{array}\) Which of the following describes the most appropriate remedial action that the teacher should take to clarify this misconception?

A teacher asked the class to subtract 5 from 75.70% of the class said: 25. Their work was shown as: \(\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} 7&5 \end{array}}\\ {\underline {\begin{array}{*{20}{c}}\ { - 5} \ \ \ &{} \end{array}} }\\ {\underline {\begin{array}{*{20}{c}} 2&5 \end{array}} } \end{array}\) Which of the following describes the most appropriate remedial action that the teacher should take to clarify this misconception? Correct Answer Revise the concept of place value and asking students to explain the process they have used to solve the problem

Misconception refers to the gap in children's knowledge. If they are not addressed properly can build over time.

Key Points

How to fix math misconceptions- Math misconceptions are important to address, since they can prevent students from learning and excelling in academics.

  • Identifying misconceptions- The teacher should spot and identify a child's misconception about a concept. (Here, the child is having a problem with the concept of place value).
  • Investigation- The teacher should facilitate a dialogue regarding the error, concentrating on getting the student to explain their process of arriving at the answer. For example- By asking how did you come up with that answer? This clarifies if the error was a simple mistake or a misconception.
  • Addressing the misconception- Now the teacher will fill the knowledge gap and provide students with an exact method to solve the problem by using a remedial teaching strategy.

Hence, we conclude that the most appropriate remedial action that the teachers should take to clarify this misconception is revising the concept of place value and asking students to explain the process they have used to solve the problem.

HintThe child here knows how to subtract but he's having a problem with the concept of place value. Hence providing practices on subtraction will be useless.

Additional Information

  1. Revising the rule of subtraction of 1-digit numbers from 2-digit numbers that digits should be written from right to left will eventually get clear if the concept of place value strenghtned.
  2. Drill and practice promote rote memorization.
  3. Using a number line to explain subtraction will become a complex process.

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