I urge you to be patient, because there are people on this forum are not studied in formal logic. The authority of the Magisterium is most important, rather than proving something based upon inductive or deductive reasoning, which can be false in its assumptions.
No, that sentence includes nothing specifically about teaching kids but about the practices of avoiding children.
At that time, in another thread, (May 5, 2010) I came up with:
(Merriam Webster) contraception (noun): deliberate prevention of conception or impregnation.
Basis: is it immoral to intentionally disorder the physical constitution or physical processes. This must allow for preservation and promotion of life, for example an amputation to save a life is not intended to cause a disorder but to preserve life.
ABC: artificial birth control disorders the physical constitution or physical processes.
NFP: natural family planning does not disorder the physical constitution or physical processes.
Conclusion: of the two ABC and NFP, only ABC is immoral on this basis, due to intentionally disording the physical constitution or physical processes.
It remains to show how the ABC disorders the physical constitution or physical processes. They way some work are shown below.
Hormones: prevent ovulation, fertilization,or implantation
Barriers: prevent fertilization
IUD: prevent implantation
Poisons: destroy reproductive cells
Abortifactants: destroy zygote
Note the word
disorder. People can argue that changing timing of coitis is a disorder, however that is not what is taught by the Magisterium, nor is that taught by St. Paul in 1 Cor 7 where we may abstain. What can make abstinance unacceptable is intention invalidating the marital covenent or incorrect motives.
All the above is backed by statements from the Magisterium: Pope Pius XI (casti cannubii), Pope Pius XII (allocution to midwives), Pope Paul VI (humanae vitae), Pope John Paul II (many statements 1978-1996).
CC
vatican.va/holy_father/pius_xi/encyclicals/documents/hf_p-xi_enc_31121930_casti-connubii_en.html
ATM
ewtn.com/library/PAPALDOC/P511029.HTM
HV
vatican.va/holy_father/paul_vi/encyclicals/documents/hf_p-vi_enc_25071968_humanae-vitae_en.html
JPII
catholicsagainstcontraception.com/statements_by_john_paul_ii_1978_1996.htm