Which of the following is an example of continuous measurement?

Continuous measurement involves gathering data that captures all instances of a behavior as it occurs over time without interruptions. This type of measurement allows for a detailed understanding of the frequency of the behavior and is useful for tracking changes and progress effectively.

Counting the number of times a student raises their hand exemplifies continuous measurement because it involves a direct count of each occurrence of the behavior during a specified period. This method provides real-time data about how often the student engages in this specific behavior, allowing for precise analysis and intervention planning.

The other options do not represent continuous measurement. For instance, checking if a student is on task during class is typically a point-in-time observation that does not capture every instance but rather provides a snapshot. Noting if a student is behaving well during a lecture is also a momentary observation and does not give comprehensive data on all behaviors throughout the lecture. Measuring student engagement at the end of the class reflects a summary assessment rather than capturing the ongoing behaviors throughout the duration of the class. Therefore, the correct choice highlights the essence of continuous measurement by quantifying behavior as it occurs.