Etymology
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Words related to school

*skel- (1)
also *kel-, Proto-Indo-European root meaning "to cut."

It forms all or part of: coulter; cutlass; half; halve; scale (n.1) "skin plates on fish or snakes;" scale (n.2) "weighing instrument;" scalene; scallop; scalp; scalpel; school (n.2) "group of fish;" sculpture; shale; sheldrake; shelf; shell; shield; shoal (n.2) "large number;" skoal; skill.

It is the hypothetical source of/evidence for its existence is provided by: Latin culter "knife," scalpere "to cut, scrape;" Old Church Slavonic skolika "mussel, shell," Russian skala "rind, bark," Lithuanian skelti "split," Old English scell "shell," scalu "drinking cup, bowl, scale of a balance."
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shoal (n.2)
"large number" (especially of fish), 1570s, apparently identical with Old English scolu "band, troop, crowd of fish" (see school (n.2)); but perhaps rather a 16c. adoption of cognate Middle Dutch schole.
section (n.)
late 14c., "intersection of two straight lines; division of a scale;" from Old French section or directly from Latin sectionem (nominative sectio) "a cutting, cutting off, division," noun of action from past participle stem of secare "to cut," from PIE root *sek- "to cut." From 1550s as "act of cutting or dividing." Meaning "subdivision of a written work, statute, etc." is from 1570s. Meaning "a part cut off from the rest" is from early 15c.
*segh- 
Proto-Indo-European root meaning "to hold."

It forms all or part of: Antioch; asseverate; asthenia; asthenosphere; cachectic; cachexia; calisthenics; cathexis; entelechy; eunuch; epoch; hectic; Hector; ischemia; myasthenia; neurasthenia; Ophiuchus; persevere; schema; schematic; scheme; scholar; scholastic; school (n.1) "place of instruction;" severe; severity; Siegfried.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit sahate "he masters, overcomes," sahah "power, victory;" Avestan hazah "power, victory;" Greek skhema "figure, appearance, the nature of a thing," related to skhein "to get," ekhein "to have, hold; be in a given state or condition;" Gothic sigis, Old High German sigu, Old Norse sigr, Old English sige "victory."
schooled (adj.)
"taught, trained, disciplined," 1821, past-participle adjective from school (v.1).
schooling (n.)
mid-15c. "act of teaching; fact of being taught," verbal noun from school (v.1).
diatribe (n.)

1640s (in Latin form in English from 1580s), "continued discourse, critical dissertation" (senses now archaic), from French diatribe (15c.) and directly from Latin diatriba "learned discussion," from Greek diatribe "employment, study," in Plato, "discourse," literally "a wearing away (of time), a waste of time," from dia "away" (see dia-) + tribein "to wear, rub," from PIE root *tere- (1) "to rub, turn." For sense evolution, compare school (n.1).

The modern meaning "a strain of invective, a bitter and violent criticism" by 1804, apparently from French.

homeschool (v.)
also home-school, by 1989 (implied in homeschooling), from home (n.) + school (v.). Related: Homeschooled.
old-school (adj.)

in reference to a group of people noted for conservative views or principles on some professional or political matter, 1806, from the noun phrase, "party belonging to a former time or having the characteristics, manner, and opinions of a bygone age" (1749); see old + school (n.).

preschool (adj.)

also pre-school, "of or pertaining to the time before a child is old enough for school," 1886, from pre- "before" + school (n.); the noun is from 1910, "a nursery school for children of preschool age." Related: pre-schooling; pre-schooler.