Prayer as Learning (or: what is Jewish prayer, anyway?)
שִׁמְעוֹן הַצַּדִּיק הָיָה מִשְּׁיָרֵי כְנֶסֶת הַגְּדוֹלָה. הוּא הָיָה אוֹמֵר, עַל שְׁלשָׁה דְבָרִים הָעוֹלָם עוֹמֵד, עַל הַתּוֹרָה וְעַל הָעֲבוֹדָה וְעַל גְּמִילוּת חֲסָדִים:

Shimon the Righteous was one of the last of the men of the great assembly. He used to say: the world stands upon three things: the Torah, the Temple service, and the practice of acts of piety.

מִצְוַת עֲשֵׂה לְהִתְפַּלֵּל בְּכָל יוֹם שֶׁנֶּאֱמַר (שמות כג כה) ״וַעֲבַדְתֶּם אֵת ה׳‎ אֱלֹהֵיכֶם״. מִפִּי הַשְּׁמוּעָה לָמְדוּ שֶׁעֲבוֹדָה זוֹ הִיא תְּפִלָּה שֶׁנֶּאֱמַר (דברים יא יג) ״וּלְעָבְדוֹ בְּכָל לְבַבְכֶם״ אָמְרוּ חֲכָמִים אֵי זוֹ הִיא עֲבוֹדָה שֶׁבַּלֵּב זוֹ תְּפִלָּה. וְאֵין מִנְיַן הַתְּפִלּוֹת מִן הַתּוֹרָה. וְאֵין מִשְׁנֶה הַתְּפִלָּה הַזֹּאת מִן הַתּוֹרָה. וְאֵין לַתְּפִלָּה זְמַן קָבוּעַ מִן הַתּוֹרָה:
To pray daily is an affirmative duty, as it is said, "And ye shall serve the Lord, your God" (Exodus 23:25). The service, here referred to, according to the teaching of tradition, is Prayer, as it is said, "And to serve Him with all your heart" (Deuteronomy 11:13), on which the sages commented, "What may be described as Service of the Heart? Prayer". The number of prayers is not prescribed in the Torah. No form of prayer is prescribed in the Torah. Nor does the Torah prescribe a fixed time for Prayer. Hence, women and slaves are under an obligation to pray, this being a duty, the fulfillment of which is independent of set periods.

ומצות עשה שהזמן גרמא נשים פטורות: ....גמר לה מתלמוד תורה מה תלמוד תורה נשים פטורות אף תפילין נשים פטורות

"and positive commandments that are time dependent, women are exempt."...Just like by [the commandment of] learning Torah women are exempt, so too by Tefillin women are exempt.

וּלְפִיכָךְ נָשִׁים וַעֲבָדִים חַיָּבִין בִּתְפִלָּה לְפִי שֶׁהִיא מִצְוַת עֲשֵׂה שֶׁלֹּא הַזְּמַן גְּרָמָא אֶלָּא חִיּוּב מִצְוָה זוֹ כָּךְ הוּא שֶׁיְּהֵא אָדָם מִתְחַנֵּן וּמִתְפַּלֵּל בְּכָל יוֹם וּמַגִּיד שִׁבְחוֹ שֶׁל הַקָּדוֹשׁ בָּרוּךְ הוּא וְאַחַר כָּךְ שׁוֹאֵל צְרָכָיו שֶׁהוּא צָרִיךְ לָהֶם בְּבַקָּשָׁה וּבִתְחִנָּה וְאַחַר כָּךְ נוֹתֵן שֶׁבַח וְהוֹדָיָה לַה׳‎ עַל הַטּוֹבָה שֶׁהִשְׁפִּיעַ לוֹ כָּל אֶחָד לְפִי כֹּחוֹ:

The obligation in this precept is that every person should daily, according to his ability, offer up supplication and prayer; first uttering praises of God, then, with humble supplication and petition ask for all that he needs, and finally offer praise and thanksgiving to the Eternal for the benefits already bestowed upon him in rich measure.

וַיְהִי֩ בַיָּמִ֨ים הָֽרַבִּ֜ים הָהֵ֗ם וַיָּ֙מָת֙ מֶ֣לֶךְ מִצְרַ֔יִם וַיֵּאָנְח֧וּ בְנֵֽי־יִשְׂרָאֵ֛ל מִן־הָעֲבֹדָ֖ה וַיִּזְעָ֑קוּ וַתַּ֧עַל שַׁוְעָתָ֛ם אֶל־הָאֱלֹקִ֖ים מִן־הָעֲבֹדָֽה׃
A long time after that, the king of Egypt died. The Israelites were groaning under the bondage and cried out; and their cry for help from the bondage rose up to God.

דַּבֵּ֤ר אֶֽל־אַהֲרֹן֙ וְאֶל־בָּנָ֣יו לֵאמֹ֔ר כֹּ֥ה תְבָרֲכ֖וּ אֶת־בְּנֵ֣י יִשְׂרָאֵ֑ל אָמ֖וֹר לָהֶֽם׃ (ס)

יְבָרֶכְךָ֥ ה' וְיִשְׁמְרֶֽךָ׃ (ס)

יָאֵ֨ר ה' ׀ פָּנָ֛יו אֵלֶ֖יךָ וִֽיחֻנֶּֽךָּ׃ (ס)

יִשָּׂ֨א ה' ׀ פָּנָיו֙ אֵלֶ֔יךָ וְיָשֵׂ֥ם לְךָ֖ שָׁלֽוֹם׃ (ס)

וְשָׂמ֥וּ אֶת־שְׁמִ֖י עַל־בְּנֵ֣י יִשְׂרָאֵ֑ל וַאֲנִ֖י אֲבָרֲכֵֽם׃ (פ)

Speak to Aaron and his sons: Thus shall you bless the people of Israel. Say to them:

The LORD bless you and protect you!

The LORD deal kindly and graciously with you!

The LORD bestow His favor upon you and grant you peace!

Thus they shall link My name with the people of Israel, and I will bless them.

וקורין עשרת הדברות שמע והיה אם שמוע ויאמר אמת ויציב ועבודה וברכת כהנים. אמר רב יהודה אמר שמואל אף בגבולין בקשו לקרות כן אלא שכבר בטלום מפני תרעומת המינין

In the Temple they read the Ten Commandments, Shema, VeHaya im Shamoa, VaYomer, Emet veYatziv, the Avoda, and the priestly benediction. Rav Yehuda in Shmuel's name: They sought to recite the Ten Commandments outside the Temple but it was already abolished due to the heretics.

שְׁמַ֖ע יִשְׂרָאֵ֑ל ה' אֱלֹקֵ֖ינוּ ה' ׀ אֶחָֽד׃
Hear, O Israel! The LORD is our God, the LORD alone.

(א) היה קורא בתורה, והגיע זמן המקרא: אם כיון לבו – יצא, ואם לאו – לא יצא.

(1) If one was reading [Shema] in the Torah, and it came time to recite [Shema]: If he directed his mind [and intended to fulfill his obligation to recite Shema as he read it], he has fulfilled his obligation. And if not, he has not fulfilled his obligation.

תנו רבנן קריאת שמע ככתבה דברי רבי וחכמים אומרים בכל לשון
The Sages taught in a baraita that Rabbi Yehuda HaNasi and the Rabbis disagreed with regard to the language in which Shema must be recited. This dispute serves as an introduction to a broader analysis of the question of intent: Shema must be recited as it is written, in Hebrew, this is the statement of Rabbi Yehuda HaNasi. And the Rabbis say: Shema may be recited in any language.

וּמִפְּנֵי זֶה כְּשֶׁהָיָה אֶחָד מֵהֶן מִתְפַּלֵּל תִּקְצַר לְשׁוֹנוֹ לִשְׁאל חֲפָצָיו אוֹ לְהַגִּיד שֶׁבַח הַקָּדוֹשׁ בָּרוּךְ הוּא בִּלְשׁוֹן הַקֹּדֶשׁ עַד שֶׁיֵּעָרְבוּ עִמָּהּ לְשׁוֹנוֹת אֲחֵרוֹת. וְכֵיוָן שֶׁרָאָה עֶזְרָא וּבֵית דִּינוֹ כָּךְ עָמְדוּ וְתִקְּנוּ לָהֶם שְׁמוֹנֶה עֶשְׂרֵה בְּרָכוֹת עַל הַסֵּדֶר. שָׁלֹשׁ רִאשׁוֹנוֹת שֶׁבַח לַה׳‎ וְשָׁלֹשׁ אַחֲרוֹנוֹת הוֹדָיָה. וְאֶמְצָעִיּוֹת יֵשׁ בָּהֶן שְׁאֵלַת כָּל הַדְּבָרִים שֶׁהֵן כְּמוֹ אָבוֹת לְכָל חֶפְצֵי אִישׁ וָאִישׁ וּלְצָרְכֵי הַצִּבּוּר כֻּלָּן, כְּדֵי שֶׁיִּהְיוּ עֲרוּכוֹת בְּפִי הַכּל וְיִלְמְדוּ אוֹתָן וְתִהְיֶה תְּפִלַּת אֵלּוּ הָעִלְּגִים תְּפִלָּה שְׁלֵמָה כִּתְפִלַּת בַּעֲלֵי הַלָּשׁוֹן הַצֶּחָה. וּמִפְּנֵי עִנְיָן זֶה תִּקְּנוּ כָּל הַבְּרָכוֹת וְהַתְּפִלּוֹת מְסֻדָּרוֹת בְּפִי כָּל יִשְׂרָאֵל כְּדֵי שֶׁיְּהֵא עִנְיַן כָּל בְּרָכָה עָרוּךְ בְּפִי הָעִלֵּג:

Consequently, when anyone of them prayed in Hebrew, he was unable adequately to express his needs or recount the praises of God, without mixing Hebrew with other languages. When Ezra and his Council realized this condition, they ordained the Eighteen Benedictions in their present order. The first three blessings consist of praises of God and the last three, of thanksgiving to Him. The intermediate benedictions are petitions for the things which may stand as categories of all the desires of the individual and the needs of the community. The object aimed at was that these prayers should be in an orderly form in everyone's mouth, that all should learn them, and thus the prayer of those who were not expert in speech would be as perfect as that of those who had command of a chaste style. For the same reason, they arranged [in a fixed form] all the blessings and prayers for all Jews so that the substance of every blessing should be familiar and current in the mouth of one who is not expert in speech.

וְכֵן תִּקְּנוּ שֶׁיְּהֵא מִנְיַן הַתְּפִלּוֹת כְּמִנְיַן הַקָּרְבָּנוֹת. שְׁתֵּי תְּפִלּוֹת בְּכָל יוֹם כְּנֶגֶד שְׁנֵי תְּמִידִין. וְכָל יוֹם שֶׁיֵּשׁ קָרְבַּן מוּסָף תִּקְּנוּ בּוֹ תְּפִלָּה שְׁלִישִׁית כְּנֶגֶד קָרְבַּן מוּסָף.

Thus, too, they ordained that the Services of Prayer should be equal in number to the Sacrifices—two services of prayer daily, corresponding to the two daily offerings. And for the day on which an additional offering was ordained, they instituted a third prayer, corresponding to the additional offering.

ובשכבך. יָכוֹל אֲפִלּוּ שָׁכַב בַּחֲצִי הַיּוֹם, תַּ"ל ובקומך, יָכוֹל אֲפִלּוּ עָמַד בַּחֲצִי הַלַּיְלָה, תַּ"ל בשבתך בביתך ובלכתך בדרך – דֶּרֶךְ אֶרֶץ דִּבְּרָה תוֹרָה, זְמַן שְׁכִיבָה וּזְמַן קִימָה (שם):
ובשכבך AND WHEN THOU LIEST DOWN — One might think that this means: even if one lies down (retires to bed) in the middle of the day, and that ובקומך AND WHEN THOU RISEST UP means: even if you rise up in the middle of the night! It, however, states בשבתך בביתך ובלכתך בדרך WHEN THOU SITTEST IN THY HOUSE AND WHEN THOU WALKEST BY THE WAY: The Torah is thus speaking of the usual way of living, and this therefore means, the usual time of lying down and the usual time of rising up (cf. Sifrei Devarim 36:9).
וְ֠דָנִיֵּאל כְּדִ֨י יְדַ֜ע דִּֽי־רְשִׁ֤ים כְּתָבָא֙ עַ֣ל לְבַיְתֵ֔הּ וְכַוִּ֨ין פְּתִיחָ֥ן לֵהּ֙ בְּעִלִּיתֵ֔הּ נֶ֖גֶד יְרוּשְׁלֶ֑ם וְזִמְנִין֩ תְּלָתָ֨ה בְיוֹמָ֜א ה֣וּא ׀ בָּרֵ֣ךְ עַל־בִּרְכ֗וֹהִי וּמְצַלֵּ֤א וּמוֹדֵא֙ קֳדָ֣ם אֱלָקֵ֔הּ כָּל־קֳבֵל֙ דִּֽי־הֲוָ֣א עָבֵ֔ד מִן־קַדְמַ֖ת דְּנָֽה׃ (ס)
When Daniel learned that it had been put in writing, he went to his house, in whose upper chamber he had had windows made facing Jerusalem, and three times a day he knelt down, prayed, and made confession to his God, as he had always done.