ConTeXt: Too much hyphenation

Question

I am trying to control the amount of automatic hyphenation in my document. But all the options I specify don't seem to have any effect. The following MWE shows two paragraphs with six hyphenated words. This happens through out the rest of the document. Any suggestions are welcome.

Also, I would like to disable hyphenation completely in the margin text. align=flushleft still gives hyphenated words. In latex, \hyphenpenalty=10000 completely disables hyphenation.

Is there a similar option in context?

MWE

\setupbodyfont[modern,11pt]
\setuplayout[width=12cm]
\setuptolerance[horizontal,stretch]
\definefontfeature [default] [default] [expansion=quality]
\setupalign [hz]
\starttext
Various Monte Carlo methods are the most popular tool for propagating 
uncertainty during robust design and optimisation. Theoretically, Monte Carlo
methods can generate arbitrarily accurate estimates of mean and variance.
However, the convergence is slow and many engineering scenarios do not justify
the computational expense demanded by the nonlinear Monte Carlo
methods.

The proposed Inexpensive Monte Carlo (IMC) method is a cost efficient
alternative to the nonlinear Monte Carlo method under certain assumptions.
Judicious use of IMC method can greatly speed-up uncertainty propagation for 
robust design algorithms. This chapter outlines motivation behind the proposed
IMC method. Probable application areas are identified along with a survey 
of various alternative methods available presently. 
The basic formulation of IMC method is presented. The 
implementation details and the effectiveness of the methods are explored using a
simple algebraic model problem. The limitations of the IMC method are also
demonstrated in a clear fashion using the model problem. Finally, the last
section compares performance of the proposed IMC methods with the more
traditional moment methods for the model problem.
\stoptext

Answer 1

[...]
\setupalign [hz]    
\lefthyphenmin=4
\starttext
[...]

Answer 2

You can use \hyphenpenalty1000 in ConTeXt as well. However, the native ConTeXt way to suppress hyphenation is to use

\setupalign [nothyphenated]

To suppress hyphenation only for \margintext you use the command \setupmargindata

\setupmargindata
  [margintext]
  [align=nothyphenated]

To apply several keys to align separate them with a comma and surround with braces:

\setupmargindata
  [margintext]
  [align={nothyphenated, flushright}]

Answer 3

As Herbert said, you can try to change the value of lefthyphenmin. If you are using a multi-lingual document, you can change the value of lefthyphenmin for each language.

\setuplanguage[en][lefthyphenmin=4]
\setuplanguage[de][lefthyphenmin=3]

ConTeXt also defines two macros: \lesshypens and \morehyphens, which respectively increase and decrease the value of both lefthyphenmin and righthyphenmin.