I am not sure these explanations are correct.

Many thanks, Cecile.

Best regards from one old-fashioned person to another, ;-)

Walter B.

Hello, Cecile,

YOUR translation is quite clear, but I agree with Dernier that the "doe-eyes at the screen in-between" is a bit obscure.  To me it resembles a Google-translation or perhaps an obscure Imagist poem ... you have to kind of guess at the meaning.

Walter B.

Hi Solveigh,

I think the sentence should be:

Ils détestent jouer au foot. The infinitive of jouer, not the 3rd person plural. So you are correct.

-- Chris.

Je déteste les voyages. -- I hate the travels (= I hate traveling).
Je déteste voyager. -- I hate to travel.

I can't really detect any significant difference between them.

-- Chris (not a native speaker).

You can also say faire du shopping.

-- Chris (not a native speaker).

Hello John,

That was my point regarding the context. In the tutorial there are only two references to shopping: `Faire du Courses` for groceries and `Faire les Magasins` for doing the malls etc.There is no mention at all of `Faire du Shopping`. The latter seems very anglicized, but if it is colloquial, then I have learnt something.

Hi Nim,

the many uses of the English continuous form (-ing form) can lead to confusion when translating to/from French.

In the lesson you refer to, the continuous form really stands in for the infinitive. A good hint is that the infinitive even works in English, even though it isn't quite as natural as the -ing form:

Dieting is useful. -- To diet is useful. -- Faire un régime ist util.

I guess with the "-ant" form you mean the gerund. It serves a different purpose and cannot replace the inifinitive in the above examples.

En faisant un régime j'ai faim souvent. -- While dieting I am often hungry.
Here the gerund expresses a simultaneity. Note that in English you could also omit "while" and still have the sentence work.

En prenant le train il a réussi à y arriver à l'heure. -- By taking the train he succeeded in arriving there in time. The gerund can also express causality, as in this example. Again, dropping "by" would also work in English.

The upshot is that the English infinitive is indistinguishable from the English gerund which is why a lot of English speaker don't know how to differentiate between them. In French they are distincly different concepts and not to be mixed.

-- Chris (not a native speaker).

...sorry, in my last paragraph I referred to the "English infinitive" but I really meant the English continuous form.

-- Chris.

Oh, silly me, I must have missed themsecomd line. Sorry. 

The point of this lesson is to demonstrate the use of the infinitive for some continuous form constructions in English. In the example you cite, "voit" is the verb and "souffrir" is the infinitive (sufferING). 

Parce qu'on voit les gens souffrir. -- Because one sees the people suffering. 

-- Chris (not a native speaker). 

No, that would be incorrect. It isn't that the French infinitive simply corresponds to the English present continuous form. Rather, the French present tense can often times also be translated as present continuous in English.

The girl who plays the piano is my friend. -- La fille qui joue du piano est mon amie.
The girl playing the piano is my friend. -- La fille en jouant du piano est mon amie. (you'd need a gerundive in French)

But to demonstrate it in a simpler sentence:

La fille joue du piano -- The girl plays piano. And also: The girl is playing the piano.

The problem is that in English the gerundive of a verb is identical with the "-ing" form.

The girl playing the piano. -- Here "playing" is the gerundive.
The girl is playing the piano. -- Here "playing" is present continuous tense.

I don't know if that makes it any clearer, though....

-- Chris (not a native speaker).

Without the "en", you have yourself a present participle. It is less frequently used than its counterpart in English but it is being used.

Elle est partie, oubliant ses clefs. -- She left, forgetting her keys.
Elle est partie en oubliant ses clefs. -- (sounds silly) She left by/while forgetting her keys.

Most often, the present participle is used as an adjective: charmant, intéressant, courant, stressant, etc.

In this context, it is useful to note the change in meaning between the following pairs of adjectives:

stressant -- stressé: stressing (stressful) -- stressing
intéressant -- intéressé: interesting -- interested

Greetings, -- Chris (not a native speaker).

It sounds pretty stilted to my ears but it would be grammatically correct. You'd never hear it said, though, I believe. 

-- Chris.