Reference for Kiddushin 58:9

איהי מנלן דלא מיחייבא דכתיב ולימדתם ולמדתם כל שמצווה ללמוד מצווה ללמד וכל שאינו מצווה ללמוד אינו מצווה ללמד

And if his father did not teach him, he must teach himself, for it is written, and ye shall study.<span class="x" onmousemove="('comment',' Deut. V, 1. The education of children in olden times was in their parents' hands, organized teaching being for adults only. The defects of this system were obvious, and schools were established in Jerusalem and later in the provinces for children from the ages of six or seven and upwards. These reforms are variously ascribed to R. Simeon b. Shetah and the High Priest Joshua b. Gamala; v. Halevy, Doroth I, 111, p. 466 and note a.l.');">¹²</span> How do we know that she [the mother] has no duty [to teach her children]? - Because it is written, we-limaddetem [and ye shall teach], [which also reads] u-lemadetem [and ye shall study]:<span class="x" onmousemove="('comment',' [So Rashi. The derivation may however be based on the analogy of Deut. XI, 9 and V, 1.]');">¹³</span> [hence] whoever is commanded to study, is commanded to teach; whoever is not commanded to study, is not commanded to teach.

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