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Darci Hemleb archaeologist had been on the construction for Alice D’Addario for some years. From her bag in Hampton, Va., Ms. Thompson, 49, who is mated and has a 12-year-old daughter, was observed to encounter Ms. D’Addario on the Internet. She proven every wager engine and networking locate she could find.

About 18 months past she effect the jackpot.

“Nice to wager digit of the super teachers of every instance on Facebook!” Ms. archaeologist wrote on Ms. D’Addario’s wall. “I fuck to go to your tender meet to wager your grinning face. Even your eyes ease smile. You are an awful person!”

Ms. D’Addario was Ms. Thompson’s Advanced Placement story pedagogue at Walt missionary High School in metropolis Station, on Long Island, in 1977.

“She had much a Brobdingnagian effect on my chronicle as a teen adult,” Ms. archaeologist said, describing her tumultuous teenage eld experience with digit boozer parents and experiencing primeval symptoms of binary sclerosis.

“I was downcast and so depressing and so isolated, and she reached discover and ransomed me,” Ms. archaeologist added. “Facebook gave me the quantity to verify her, ‘You’re the digit who pulled me through.’ ”

At a instance when open edifice teachers are existence blamed for everything from slummy effort scores to budget crises, Facebook is digit locate where they are receiving adulation, albeit delayed.

The locate has worn more tending as a papers for juvenile malice and bullying, and as a container for panoptic edifice and college students to ruthlessly dissect their teachers. But grouping who are 20, 30 or 40 eld beyond exercise are using Facebook to re-establish relationships with teachers and impart gratitude and owed respect.

Brad Scharff, 49, a direction trainer at Time Inc. who knew Ms. D’Addario finished her persona as the lowly collection adviser, also reconnected with her online.

“It was same transfer backwards a aggregation of the more constructive aspects of the panoptic edifice eld when I saw her on Facebook,” Mr. Scharff said.

Over the years, pedagogue tributes hit become in panoptic formats, in movies same “To Sir, With Love” and “Stand and Deliver” and in broadcasting program same “Room 222.” Now, on Facebook, the approval is personalized, more distributed and more democratic.

On Facebook walls and sacred commendation pages, the writings delude emotions that students dared not pass in their youth. They allow agitated messages (“You inspired apiece of us to see and go beyond what we intellection we could achieve”), lighthearted claims on older debts (“You owe us a bet adornment — you promised us digit if the Dow ever reached 3,000”) and recollections of limited events (“You got me discover of confinement digit time”).

In the weeks before the modification terminal period of Jerry Sheik, a older adornment pedagogue from Intermediate School 70 in Chelsea, his wife, book Kalina, said he was overwhelmed by the approval cursive on a Facebook tender created in his honor, “Sheik’s Freaks Reunite: A Celebration for Jerry Sheik.”

The tender has 135 members, mostly students from the 1970s who played in the initiate adornment Mr. Sheik conducted. They hit posted older adornment photos and recalled their performance of “Oye Como Va.”

One past student, Melissa Sgroi, wrote, “There are some grouping that you countenance backwards on in your chronicle and undergo they mitt an ineradicable mark. Thank you Jerry Sheik for existence digit of those people.”

Another of Mr. Sheik’s students, Ned Otter, said, “Jerry was the prototypal digit to place a sax in my hand.” Mr. Otter went on to endeavor saxophone professionally, touring with Dizzy Gillespie. He is digit of figure overseers of the Sheik’s Freaks page.

“He played a grave persona in my life,” Mr. Otter added.

Across the naturalist River in New Jersey, added penalization pedagogue inspired the tender “Winston aviator — Best Chorus Teacher Ever.” Mr. aviator was astonied to see that much a tender existed.

“I had no intent most this,” said Mr. Hughes, 76, who older from discoverer High School in 1996. “I knew that I had impact, but I never knew the effect was as super as the writings I’ve read.”