What? What filter lense are you wearing? Where have I ever once said put blind faith in teachers? Where have I ever said put no faith in parents? You are letting your ideological blinders put ideas in your head that are not written or implied.
I have never suggested any such thing. I merely pointed out that trying to cram your way or the highway into a child still learning a concept can often leave children confused and frustrated. And a child asking for help on his homework is not a sign of a child not learning, there is a large difference between asking for help on a homework assignment and a struggling student.
The important thing is that the child learn the concept or construct, and are able to apply it effectively. Whether they be taught by method a or method b when first exposed is inconsequencial in the grand scheme.... however if a student is learning via method a and then suddenly forced mid point into method b, they are very likely to become confused and frustrated. Will some kids pick up faster with method b than a? yes, will some be faster with a than b yes, and will some kids have no problem picking up both at the same time? yes.... however I guarantee you dollars to doughnuts you take any group of students and teach them method a or method b and in mid stride switch to the other, you will leave the vast majority of them confused. I don't care what concept or subject you are teaching.
I think parents should help, and I think if a child is having a difficult time grasping the method being taught then yes showing alternatives is great... but that doesn't mean that it is always the best course to introduce completely differing and sometimes contradictory concepts in the middle of the learning curve. If a child is learning, and asks for help, by all means help, however if you try to force something on them even more out of their contextual realm they have never seen before, you can and do often leave them even more confused.
You are the one describing parents style as know it all, cramming it down their throats, not enough patience, etc. You have been highly critical of parents abilities to teach. Certainly I have my biases too, but admit yours. I taught my daughter to read and basic math prior to her going to school. I review her homework nightly. I think it is insultive for anyone to suggest what I can and can't teach my daughter. I know her and care about her more than anyone, including her teachers, and am more than qualified to help her as I see fit.