ABCTE Professional Teaching Knowledge Practice Exam

Which of the following describes an inductive sequence?

1. The class studies multiple examples and forms a general rule.

2. The class learns step-by-step how to solve a problem.

3. The class applies a broad rule to specific cases.

4. The class memorizes definitions and examples.

The correct answer is: The class studies multiple examples and forms a general rule.

An inductive sequence is characterized by the process of drawing general conclusions based on specific observations or examples. When a class studies multiple examples and formulates a general rule, they are engaging in inductive reasoning. This method allows students to see patterns and relationships among specific cases, which leads them to make broader generalizations. In this context, students might examine various instances of a concept, identify common features, and then establish a general principle that applies to all instances reviewed. This approach encourages critical thinking and fosters a deeper understanding as learners connect specific data points to a larger theoretical framework. The other choices illustrate different instructional methods. Learning step-by-step how to solve a problem represents a more structured, deductive approach, where the learner follows a predetermined method to reach a solution. Applying a broad rule to specific cases is characteristic of deductive reasoning, reverse to inductive reasoning. Finally, memorizing definitions and examples focuses on rote learning rather than the analytical process inherent in forming generalizations from specific instances.