mathematical reasoning. - LJ version

excluding Argument.
i discuss this with my students.
STATEMENT
no question element inside, no directive element inside, pure sentence based that leads your decision to TRUE or FALSE.

after learning this, it's further explained by the following subtopics.
-Quanlifier
further explain with question on determining what is the meaning of "ALL" and "SOME".
-Operation
further explain with question on determining what is the difference of using "or" and "and".
-Implication
i explained if ..."antecedent"..., then ... "consequent"...
i use example on:
Bryan is a boy
Bryan has a dick
i make it a implication based sentence.
IF Bryan is a boy, THEN Bryan has a dick.
i further make explain my Converse an implication as "if Bryan has a dick, then he is a boy."
the main thing that happens here is the meaning and the STATEMENT's truth doesn't change, it's still a TRUE statement.
Since the implication and the Converse implication is TRUE and doesn't change it's original meaning. then we can combined the two statement into a COMPOUND STATEMENT... like this:-
Bryan is a boy if and only if he has a dick.
then i stopped. and say i will teach them argument next week. and revise SETS.
BTW, i write out a separate paper with very basic Mathematical reasoning questions.