teaching

Distinctions

hora'ah (הוראה)

Ibn Janach and Radak: from the root yud-reish-hey, which also yields throwing (yarah vayam, Shemos 15:4), teaching (yoreh dei'ah, Yeshayahu 28:9), and rain (yoreh and moreh, Devarim 11:14; Yoel 2:23). Menachem Ibn Saruk traces all of these to a one-letter reish element and adds a fourth sense, spittle or discharge (rir, rar: Vayikra 15:3; Shmuel I 21:14; Iyov 6:6). None of the grammarians ties the senses together thematically; the column itself proposes movement in one direction as the common thread, throwing away from oneself, rain and spittle downward, and teaching from teacher to pupil and not back.

In Mishnaic Hebrew hora'ah is specifically the authority to rule in halachah (Avos 4:7 and 6:6; Horayos 1:1 and 1:4; Parah 7:9), and masseches Horayos treats the consequences of a mistaken ruling. Modern Hebrew keeps the neutral sense of teaching or instructing.

Radak: Torah itself (and Aramaic Orayta) is from yud-reish-hey, so Torah is best rendered "a teaching" or "instruction." Radak also weighs Ibn Janach's alternative, the root tav-vav-reish, investigation or scouting, from which come system and order, and the word tor, one's turn within a fixed arrangement; on that reading Torah is law set out as an ordered code. Rav Hirsch (Bereishis 26:5; Devarim 4:1) takes a third root, hey-reish-hey, to impregnate: Torah is the seed of goodness planted in a person.

limmud (למוד)

Malbim, in the name of Shadal: limmud is going over the lesson again and again until it is engraved on the pupil's heart and he truly knows it, where hora'ah is teaching a thing once and trusting it will be retained. Shadal reads Melachim II 12:3 accordingly: Yoash did right in Hashem's eyes all the days that Yehoyada taught him (horahu), and no longer after Yehoyada died. The wording is a criticism of the method. Yehoyada used hora'ah and not limmud, never drilling the essential lessons into the boy-king, so once he was gone there was nothing engraved to hold.

Rav Hirsch makes the parallel point from Moshe's own usage: in Devarim, Moshe describes his teaching of Klal Yisrael with cognates of limmud, not with Torah, because he did not stop at planting seeds but saw the work through. Both Shadal and Rav Hirsch treat hora'ah as one step in the process and limmud as its completion. The early grammarians note that the malmad habakar, the ox-goad of Shoftim 3:31, is from the same root: training an animal by repetition.

alef (אלף)

Iyov 33:33 and 35:11; Mishlei 22:25. Malbim: this is teaching done inadvertently, where a person or thing serves as a prototype from which a lesson is drawn, though no one set out to teach it. In Rabbinic Hebrew, deriving such a lesson is yalfusa (verb yalif), usually inferring from a pasuk or a derashah; Modern Hebrew ulpan comes from the same root.

Menachem Ibn Saruk (Machberes Menachem) gives the root as aleph-lamed-peh, with the aleph sometimes dropping so that lamed-peh serves as well; on that basis he and Radak connect talpiyos (Shir HaShirim 4:4, its only occurrence) to this root. Chazal read talpiyos as tel and piyos, the mound to which all mouths turn in prayer, that is, the Beis HaMikdash (Berachos 30a). Rabbi Shlomo Pappenheim traces alef to the two-letter element lamed-peh, a strong hold hard to break free of: hence yalefes, a boil leaving a permanent scar (Vayikra 21:20); aluf, a chieftain ruling from strength; elef, a thousand, the following a warlord needs to claim the title; the lamed-peh-tav verbs of seizing (Shoftim 16:29; Rus 3:8); and lefes, the turnip, fixed firmly in the ground. On this account the learning called alef is the learner's firm grasp of material won by repeated instruction, and talpiyos is a tower where young soldiers are trained in arms. Malbim reads aluf the other way, as a leader who must teach his followers how to act.

Alef also names the ox (Devarim 7:13, 28:4, 28:12, 28:51; Tehillim 8:8, 50:10; Mishlei 14:4; Yeshayahu 30:24). Malbim: a trained ox, one that has learned to work the land. The Vilna Gaon reads alafim in Mishlei 14:4 as students, so that "for want of oxen the trough is empty" warns the teacher that without students he will become an empty vessel, in the spirit of Rabbi Yehuda HaNasi's "from my students I learned most of all" (Taanis 7a; Makkos 10a).

hadrachah (הדרכה)

Malbim's contrast term. Hora'ah, limmud, and alef all impart new knowledge; the madrich gives hadrachah, laying out a derech, a path, for applying what the student already knows. He supplies direction, not information.

Rendering guidance

• Trap: English "teach" will absorb hora'ah, limmud, and alef. Where a passage sets two of them against each other, use "instruct" for hora'ah, "drill" or "teach thoroughly" for limmud, and "train" or "school" for alef.
• Hora'ah in a Mishnaic or halachic context is "ruling," not "teaching." Bar hora'ah is one fit to rule, not merely a teacher.
• Where a mussar passage cites Melachim II 12:3, keep the verb visible: "as Yehoyada instructed him," so that the contrast with drilling survives in English.
• Hadrachah is "guidance," never "instruction," which would pull it back into hora'ah.
• Alef as a noun in a pasuk is an ox; as a verb it is to train or teach. In an unpointed text let the context decide, and note that the Vilna Gaon's derashah on Mishlei 14:4 turns on holding both senses at once.

Sources

Rabbi Reuven Chaim Klein, "The Ultimate Teacher," What's in a Word?, Ohr Somayach, 15 Av 5781 (2021-07-24): https://articles.ohr.edu/articles/the-ultimate-teacher; raw text in sources/whats-in-a-word/raw/9308-the-ultimate-teacher.md. Primary loci cited: Shemos 15:4; Vayikra 15:3, 21:20; Devarim 4:1, 7:13 (the article prints 7:12), 11:14, 28:4, 28:12, 28:51; Bereishis 26:5; Shoftim 3:31, 16:29; Rus 3:8; Shmuel I 21:14; Melachim II 12:3; Yeshayahu 28:9, 30:24; Yoel 2:23; Iyov 6:6, 33:33, 35:11; Mishlei 14:4, 22:25; Tehillim 8:8, 50:10; Shir HaShirim 4:4; Berachos 30a; Taanis 7a; Makkos 10a; Avos 4:7 and 6:6; Horayos 1:1 and 1:4; Parah 7:9; Menachem Ibn Saruk, Machberes Menachem; Radak, Sefer HaShorashim; Rabbi Shlomo Pappenheim.