Final answer:
In an experiment comparing two groups' math problem-solving speed, the independent variable is typically the group designation (e.g., using a new textbook), the dependent variable is the speed of solving problems, and constants are conditions held steady across groups.
Step-by-step explanation:
When comparing the speed of two groups of students working on math problems, the terms independent, dependent, and constant can be defined as follows:
Independent variable: This is the variable that is manipulated or changed to observe its effect on the dependent variable. In the context of comparing the speed of two groups of students, the group (whether they are using a new textbook or not) would typically be considered the independent variable.
Dependent variable: This is the variable that is measured or observed. In this case, it would be the speed at which the students work on math problems.
Constant: These are conditions that are kept the same for both groups to ensure that the experiment is fair. In the context of the math problem speed test, constants might include the difficulty and number of problems given, the time allowed, and the environment in which the problems are solved.