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Jewish Prayer as Meditation

(א) אין עומדין להתפלל אלא מתוך כובד ראש. חסידים הראשונים היו שוהים שעה אחת ומתפללים כדי שיכונו את לבם למקום. אפילו המלך שואל בשלומו לא ישיבנו; ואפילו נחש כרוך על עקבו לא יפסיק .

(1) [One] should not stand up to pray unless he is in a serious frame of mind {lit. "heavy of head"}. The original pious ones used to wait one hour and then pray, in order to direct their hearts towards the Omnipresent. [While one is reciting Shemoneh Esrei,] even if the king greets him {lit. "asks about his welfare"}, he should not respond to him, and even if a snake wraps around his heel, he should not interrupt.

דתניא ר' אליעזר אומר שואל אדם צרכיו ואחר כך יתפלל שנאמר (תהלים קב, א) תפלה לעני כי יעטוף ולפני ה' ישפוך שיחו וגו' אין שיחה אלא תפלה שנאמר (בראשית כד, סג) ויצא יצחק לשוח בשדה
Rav Aḥa bar Minyumi elaborates: As it is taught in a baraita that Rabbi Eliezer says: A person should request his own needs first and afterward recite the Amida prayer, as it is stated: “A prayer of the afflicted, when he is faint and pours out siḥo before the Lord. O Lord, hear my prayer” (Psalms 102:1–2). These verses indicate that one first requests help concerning his afflictions and pains, and only afterward pours forth his siḥa. And siḥa means nothing other than prayer, as it is stated: “And Isaac went out to meditate [lasuaḥ] in the field” (Genesis 24:63).
יצחק תקן תפלת מנחה שנאמר (בראשית כד, סג) ויצא יצחק לשוח בשדה לפנות ערב ואין שיחה אלא תפלה שנאמר (תהלים קב, א) תפלה לעני כי יעטף ולפני ה' ישפוך שיחו

Isaac instituted the afternoon prayer service; as it is said, "And Isaac went out to meditate in the field at evening time" (Gen. xxiv. 63) — there is no "meditation" [sihah] that is not prayer; as it is said, "A prayer of the afflicted when he faints, and pours out his complaint [sihah] before the Lord" (Ps, cii. 1).

Zalman Schachter-Shalomi, Davening: A Guide to Meaningful Jewish Prayer
“Many who live their lives as Jews, even many who pray every day, live on a wrapped and refrigerated version of prayer. We go to synagogue dutifully enough. We rise when we should rise, sit when we should sit. We read and sing along with the cantor and answer ‘Amen’ in all the right places. We may even rattle through the prayers with ease. We sacrifice vitality for shelf-life, and the neshomoh, the Jewish soul, can taste the difference."
Menachem Mendel of Kotzk
A little with kavanah (focus, intention) is better than a lot without.
God doesn't count the number of words you say, She counts the time you spend with Her.
R. Sholom Dovber Schneerson:
Upon coming in from the “outside” (i.e., from his physical and material concerns), a person should not hasten to pray immediately. Rather, he ought to wait until he discards and dispels his earlier concerns so that they won’t disturb him.”
ומי אית ליה לרבי יהודה הרהור והתניא בעל קרי שאין לו מים לטבול קורא קריאת שמע ואינו מברך לא לפניה ולא לאחריה ואוכל פתו ומברך לאחריה ואינו מברך לפניה אבל מהרהר בלבו ואינו מוציא בשפתיו דברי רבי מאיר רבי יהודה אומר בין כך ובין כך מוציא בשפתיו
But does R. Judah hold that meditation [is sufficient] ? For lo, there is a teaching : A Ba'al Keri who has no water in which to bathe should read the Shema', but without the benediction before and after ; and he eats his meal with Grace after but not before, but he meditates [upon the Grace before meals] in his heart without uttering it with his lips. These are the words of R. Meir ; but R. Judah says : He should utter them both!