One possible activity or project for Equivalent Proposition logic in math could be to create a truth table for a given set of logical propositions and then determine if they are equivalent or not.

Here are the steps for this activity:

1. Provide a set of logical propositions to the students. For example, you could give them two propositions: “p or q” and “not p and not q”.

2. Ask the students to create a truth table for these propositions. They should list all possible combinations of truth values for the variables p and q, and then determine the truth value of each proposition for each combination.

3. Once the truth table is complete, ask the students to compare the truth values of the two propositions for each combination. If the truth values are the same for all combinations, then the propositions are equivalent. If there is at least one combination where the truth values are different, then the propositions are not equivalent.

4. Finally, have the students write a conclusion based on their findings. They should state whether the propositions are equivalent or not, and provide a logical explanation for their conclusion.

This activity allows students to practice creating truth tables and analyzing logical propositions for equivalence. It also helps them develop critical thinking skills and logical reasoning abilities.