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<p>Singapore was a third-world country back in the 1960s. How do you go
from being a third-world country to being one of the wealthiest
countries in the world with no natural resources in forty years?</p>
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<p>I haven’t looked at their educational spending numbers recently but
the last time I looked (which is within the last year), they spent
more than we did.</p>
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<p>Outside of my wife having grown up there, me living there for a few
months, talking to my relatives that live there, my kids spending
about five months there and visiting their schools and playgrounds?</p>
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<p>You could add South Korea, Taiwan and Japan if you wish.</p>
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<p>Teaching a kid algebra at 6 implies that you taught all of arithmetic,
including fractions, long division, word problems, geometry, number
sense, ratios, proportions, etc. when they were younger.</p>
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<p>Our son taught himself algebra at 6. We used Jacob’s Algebra which
would be considered an old-school book. It’s a wonderful book in that
it does a nice job explaining concepts and relationships in multiple
ways. The book is outstanding for self-study. We also used some
materials from the New Math back in the 1960s that covered
non-standard topics.</p>
<p>The exercise sections had brain teasers and included word problems.
I think that it would be hard to answer the brain teasers and word
problems with only a plug-and-chug approach.</p>
<p>I do know what you are talking about though. I once sat in on a
university calculus course. This was in the evening program where the
standards for admission are a lot lower than the regular full-time day
school. The professor was teaching plug-and-chug. I was astonished at
how little was taught. The textbook wasn’t used at all. It was all about
remembering patterns.</p>
<p>I spoke to the professor for an hour after class and he explained why
they do it this way - it’s the only way to get these students through
to a degree. I understand why the interview process is so tough at a
lot of employers now. A degree may mean very little depeneding on
where it comes from. This guy is a tenured professor with significant
research. I got the feeling that he was as sick at what he was doing
as I felt about the approach.</p>
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<p>Universities with Schools of Education typically have dedicated
libraries for these schools. Boston College and Boston University
certainly do. The Boston College SOE library was open to the public
when we were raising our kids and I used their resources (along with
those at BU) to learn what teachers learn, at least from the
perspective of textbooks and curricular materials. These libraries
typically have lots of sample curriculum sets - I assume that the
textbook providers send them free samples. We have another SOE library
that I had access to at a local college and our school district made
their curriculum library available to us (we didn’t use their
materials).</p>
<p>This was all back in the stone ages before the internet. It would be
considerably easier to get access to curricular materials today with
lots of free materials now.</p>
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<p>Unschooling is a range of educational philosophies and practices
centered on allowing children to learn through their natural life
experiences, including play, game play, household responsibilities,
work experience, and social interaction, rather than through a more
traditional school curriculum. Unschooling encourages exploration of
activities, often initiated by the children themselves, facilitated by
the adults. Unschooling differs from conventional schooling
principally in the thesis that standard curricula and conventional
grading methods, as well as other features of traditional schooling,
are counterproductive to the goal of maximizing the education of each
child.</p>
<p>The term “unschooling” was coined in the 1970s and used by educator
John Holt, widely regarded as the “father” of unschooling.[1] While
often considered a subset of homeschooling, unschoolers may be as
philosophically separate from other homeschoolers as they are from
advocates of conventional schooling. While homeschooling has been
subject to widespread public debate, little media attention has been
given to unschooling in particular. Popular critics of unschooling
tend to view it as an extreme educational philosophy, with concerns
that unschooled children lack the social skills, structure, and
motivation of their peers, especially in the job market, while
proponents of unschooling say exactly the opposite is true:
self-directed education in a natural environment makes a child more
equipped to handle the “real world.”[2]</p>
<p>– Wikipedia</p>
<p>If your child showed strong interest in doing algebra at 6-years,
would you provide the means for them to study it? If they showed
strong interest in playing the violin at 6-years, would you provide
the private lessons for them to pursue it?</p>