# Student finding it difficult to recall theorem exactly

I've been trying to teach my sister school maths, and one difficulty I find is, she is unable to state precise formulation of theorems, and sometimes confuse the assumption and the implication. This is not much of a problem because often the theorems in her life are two ways, the implication goes bothways, but generally this is not good.

I too remember personally have these problem when I was young. How can I help her/ other students generally the importance of remembering theorem exactly and also how to remember theorems exactly?

In my personal opinion, I think it maybe rooted from the lack of seriousness when defining the basic terms. For eg, we don't define what an integer or real number is in school, we just give an intuitive explanation which has to be rememberd. So, when suddenly a student reaches a class that they have to memorize exact theorems involving these objects, they take it with the same seriousness as they took the basics of it.

• Give her some funny elementary logic book to read (Smullyan is the best and the funniest, just use your own judgement which one of his masterpieces is most pertinent to the situation). This will certainly teach her how the standard logic works and it is half the way (the other half is actually understanding what the theorems are about and why they are true; memorization of the statements is pointless and inefficient without going over the proofs). Commented Mar 21, 2023 at 2:16
• There is no need to remember theorems exactly. How old is she? Is she enjoying math? That's what's most important, I'd say. Commented Mar 21, 2023 at 3:52
• I think your concern is misplaced. Commented Mar 21, 2023 at 16:19
• I can't recall a class where I had to exactly memorize a thereom through all of my education as an electrical engineer. But I am not a mathematician. Then again, neither is your 13 year old sister. Commented Mar 22, 2023 at 15:18
• In Indian curriculum, there sometimes come in tests question which ask students to state theorems. Eg in 10th grade, the fundamental theorem of wrthimetic @DKNguyen
– Babu
Commented Mar 22, 2023 at 21:57