A student tries several methods to solve a difficult mathematics problem.…

2026

A student tries several methods to solve a difficult mathematics problem. After making repeated mistakes, he finally finds the correct solution and uses the same method in similar problems later. This learning best illustrates:

Answer: D. Trial-and-error learningConceptLearning by trial and error is an incremental process: a learner attempts different responses, observes their consequences, discards ineffective…

  1. A.

    Observational learning

  2. B.

    Rote memorization

  3. C.

    Insight learning

  4. D.

    Trial-and-error learning

Attempted by 32 students.

Show answer & explanation

Correct answer: D

Concept

Learning by trial and error is an incremental process: a learner attempts different responses, observes their consequences, discards ineffective responses, and retains the effective one.

Its defining pattern is repeated self-generated attempts followed by selection and reuse of the response that succeeds.

Application

The student tries several methods, makes repeated mistakes, identifies a method that solves the problem, and later reuses it. This is the attempt–outcome–selection–retention sequence.

Contrast

  • Observational learning depends on learning from a model's demonstrated behavior; no model is described here.

  • Rote memorization emphasizes repeated recall of material; the student instead tests alternative methods.

  • Insight learning centers on a sudden grasp of the solution; the stem emphasizes repeated attempts and errors.

Cross-check: the successful method is retained and transferred to similar problems, which is the expected strengthening of a response selected through its successful consequence.

Therefore, the learning illustrated is trial-and-error learning.

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