Hi, Eduardo,

The etymological origins of a word don't always affect its modern
meanings. Despite the "ped" in pedagogy, the word in modern English
applies to universities. While I understand your point about proposing
"demagogy" for adults, it doesn't really work. The word in all its
meanings deals with political leadership rather than with the specific
form of leadership known as education. 

For different purposes and meanings, we use a range of words such as
pedagogy, paedeutic, didactic, curriculum, education, and educate. All
these various words have something to do with different flavors and
nuances of leading, training, developing, and nourishing. The origins
and etymology of these words tell us about their development, but
current usage tells us current meanings. It would be difficult to get
all the English speakers of the world to abandon their current meanings
for a return to a classical Greek root for a word that means "leadership
of the people," without meaning education. Or so the Oxford English
Dictionary has it. See definitions pasted below -- this will also be an
experiment to see if the Greek letters come through on the list.

Yours,

Ken

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pedagogy, n.

Pronunciation:  Brit. /ˈpɛdəgɒdʒi/ , /ˈpɛdəgɒgi/ , U.S. /ˈpɛdəˌgɑdʒi/
Forms:  15–17 paedagogie, 15–17 pedagogie, 15– pedagogy, 16–
paedagogy. Etymology:  Partly < Middle French, French pédagogie
instruction, education (1495), and partly < post-classical Latin
paedagogia school (1550 in a British source), teaching, education
(a1560), college (a1575), both < ancient Greek παιδαγωγία office of a
pedagogue, teaching, training < παιδαγωγόςpedagogue n. + -ία-y suffix3.
Compare classical Latin paedagōgium training establishment for boys,
pupils in such an establishment, school building, practice of teaching,
in post-classical Latin also used of Christian teaching (c400), and its
etymon ancient Greek παιδαγωγεῖον room in a schoolhouse in which the
attendant slaves waited for their boys, in Hellenistic Greek also
school. Compare Spanish pedagogia (1605). Compare earlier pedagogue n.
4.

1. A place of instruction; a school, a college; a university. Also fig.
Now hist. and rare. Frequently used between the 15th and 17th centuries
as a name for the universities of Glasgow and St Andrews; also for the
faculty of arts at both places.

†2. Instruction, discipline, training; a system of introductory
training; a means of guidance. Obs.Used of the Jewish law (seen as the
means by which people are guided to Christianity), chiefly in reference
to Galatians 3:24. Cf. pedagogue n. 2.

3. The art, occupation, or practice of teaching. Also: the theory or
principles of education; a method of teaching based on such a theory.

pedagogy, n. Third edition, September 2005; online version March 2011.
<http://www.oed.com:80/Entry/139520>; accessed 27 April 2011. An entry
for this word was first included in New English Dictionary, 1904.

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paedeutics, n.

Pronunciation:  Brit. /piːˈdjuːtɪks/ , U.S. /piˈd(j)udɪks/ Forms:  18
paideutic , 18 paideutics, 18– paedeutics. Etymology:  < ancient Greek
παιδευτική education, use as noun (short for παιδευτικὴ τέχνη) of
feminine singular of παιδευτικός of or for teaching (first recorded in
Hellenistic Greek) < παιδευτής teacher, instructor ( < παιδεύειν to
teach, educate ( < παιδ-, παῖς child: see paedo- comb. form) + -της,
suffix forming agent nouns) + -ικός-ic suffix: see -ic suffix 2....
(Show Less)
Now rare.

The science, art, or practice of education.
 
paedeutics, n. Third edition, March 2005; online version March 2011.
<http://www.oed.com:80/Entry/135953>; accessed 27 April 2011. An
entry for this word was first included in New English Dictionary, 1904.

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didactic, adj. and n.

Pronunciation:  /dɪˈdæktɪk/ Etymology:  modern < Greek διδακτικ-ός apt
at teaching, < διδάσκειν to teach. Compare French didactique (1554 in
Hatzfeld & Darmesteter)...

Having the character or manner of a teacher or instructor;
characterized by giving instruction; having the giving of instruction as
its aim or object; instructive, preceptive.

†1. A didactic author or treatise. Obs.

 2.   didactics n.  [see -ic suffix + -s-] pl. The science or art of
teaching.

didactic, adj. and n. Second edition, 1989; online version March 2011.
<http://www.oed.com:80/Entry/52341>; accessed 27 April 2011. Earlier
version first published in New English Dictionary, 1895.

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curriculum, n.

Pronunciation:  /kəˈrɪkjʊləm/ Forms:  Pl. curricula. Etymology:  Latin,
= course, career (lit. and fig.): see above.

A course; spec. a regular course of study or training, as at a school
or university. (The recognized term in the Scottish Universities.)  
curriculum vitae n. the course of one's life; a brief account of one's
career.

curriculum, n. Second edition, 1989; online version March 2011.
<http://www.oed.com:80/Entry/46107>; accessed 27 April 2011.
Earlier version first published in New English Dictionary, 1893.

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education, n.

Pronunciation:  /ɛdjuːˈkeɪʃən/ Etymology:  < Latin ēducātiōn-em, <
ēducāre; see educate v. and -tion suffix

a. The process of nourishing or rearing a child or young person, an
animal. Obs.

b. spec.  [after French] The rearing of silkworms; concr., a number of
silkworms reared at one time.

2. The process of ‘bringing up’ (young persons); the manner in
which a person has been ‘brought up’; with reference to social
station, kind of manners and habits acquired, calling or employment
prepared for, etc. Obs. exc. with notion of 3.

a. The systematic instruction, schooling or training given to the young
in preparation for the work of life; by extension, similar instruction
or training obtained in adult age. Also, the whole course of scholastic
instruction which a person has received. Often with limiting words
denoting the nature or the predominant subject of the instruction or
kind of life for which it prepares, as classical education, legal
education, medical education, technical education, commercial education,
art education.

b. The training of animals.

c. fig.

4.  [ < sense 3, influenced by sense 2 and sometimes by the
quasi-etymological notion ‘drawing out’.] Culture or development of
powers, formation of character, as contrasted with the imparting of mere
knowledge or skill. Often with limiting word, as intellectual, moral,
physical.

education, n. Second edition, 1989; online version March 2011.
<http://www.oed.com:80/Entry/59584>; accessed 27 April 2011.
Earlier version first published in New English Dictionary, 1891.

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educate, v.

Pronunciation:  /ˈɛdjʊkeɪt/ Etymology:  < Latin ēducāt- participial
stem of ēducāre to rear, bring up (children, young animals), related to
ēdūcĕre to lead forth (see educe v.), which is sometimes used nearly
in the same sense.... 
 
†1. To rear, bring up (children, animals) by supply of food and
attention to physical wants. Obs.

2. a. To bring up (young persons) from childhood, so as to form (their)
habits, manners, intellectual and physical aptitudes.

b. To instruct, provide schooling for (young persons).

3. To train (any person) so as to develop the intellectual and moral
powers generally.

4. a. To train, discipline (a person, a class of persons, a particular
mental or physical faculty or organ), so as to develop some special
aptitude, taste, or disposition. Const. to, also inf.

b. To train (animals).

educate, v. Second edition, 1989; online version March 2011.
<http://www.oed.com:80/Entry/59580>; accessed 27 April 2011.
Earlier version first published in New English Dictionary, 1891.