I see this guest blog post was kindly submitted here today after making the rounds of my Facebook friends yesterday. What I have to say about this is that ill prepared college freshmen are a well known phenomenon in the United States. But I think the author of the guest blog post submitted here has not correctly identified the underlying cause of that problem.

I have read some of the curriculum standards adopted in various states over the last decade and have examined the item content of some of the No Child Left Behind Act state tests implemented during the same period. The curricula were often quite lousy, and the tests rather poorly constructed. But neither so constrained teachers that we can conclude that they made things WORSE for teachers than before the Act and the associated tests. Teachers are in the classroom to help pupils and students learn something. Defining part of what that something is by no means prevents teachers from teaching more. A teacher who self-educates about good quality research on human learning

http://www.danielwillingham.com/articles.html

and about effective teaching

http://www.gatesfoundation.org/united-states/Pages/measures-...

can help learners learn better even if the surrounding pattern of school regulation is less than ideal.

I am a teacher of prealgebra-level mathematics in private practice. (In earlier years I was a classroom teacher of English as a second language or of Chinese as a second language.) My elementary-age pupils come to me for lessons after attending their regular school lessons each week. All my clients have to pay me (my nonprofit program also offers financial aid, up to a full fee waiver, for families with financial need) after already paying their taxes for my state's friendly public schools, and some of my clients come to my program after paying out of pocket for a privately operated classroom school or as a supplement to family homeschooling. I don't give my pupils letter grades, and tests I offer to the pupils are from national voluntary participation mathematics contests, which they take (or not) as one of several reality checks on how they are learning the course material. Parents from a wide variety of school districts have told me that their children do much better on various kinds of school tests after taking my course, even though my course is explicitly NOT test-prep, and even though I don't align my curriculum to the curriculum presupposed by any testing program.

Children who learn how to use their brains to think

http://www.epsiloncamp.org/ProblemsversusExercises.php

http://www.epsiloncamp.org/LearningMathematics.php

can handle novel problems and are not afraid of tests. Children who are overprotected in school from learning challenges outside the standard curriculum often get scared and shut down when tested, even when tested on the curriculum content they have studied over and over. I'm all about helping young learners be unafraid to take on challenges. If a teacher is not doing that, what is the teacher doing?

It's probably worth noting for other HN participants that the blog from which this guest post was submitted has had guest posts before that many Hacker News readers caught omitting many of the key facts of the described situation,

http://news.ycombinator.com/item?id=3314676

until that hiding the ball was outed by more thorough bloggers who checked the facts.

http://news.ycombinator.com/item?id=3327847

AFTER EDIT: btilly kindly asks, in the first reply to this comment, what class size I teach. The class size I teach is lower than the typical class size at the schools of regular enrollment of the pupils I teach, and more to btilly's point, my total enrollment of students at a given time is less than the typical student load of a full-time teacher in the local public schools. That's a fair contrast between my situation and theirs. On the other hand, for the first several years of my program I was writing the whole curriculum from the ground up (as no suitable textbooks were avaiable from United States publishers) and sometimes gathering materials from three different countries just to put a lesson plan together.

More to the point of teaching large classes, it has been done and done well in many parts of the world. When my wife was growing up in Taiwan, the typical elementary school class size was sixty (60) pupils. An unusually small class would have only fifty (50) pupils enrolled. The differences in school staffing practices and teacher training to make that possible are described in book-length works

http://www.amazon.com/Knowing-Teaching-Elementary-Mathematic...

http://www.amazon.com/Teaching-Gap-Improving-Education-Class...

but boil down to letting classes be extra large, so that teachers can be scheduled to have joint prep time together each day in which new teachers learn from master teachers and plan lessons together. My teaching would be better if my program were big enough that I had a colleague to confer with each week, or especially each day.