"She is very warm and frank, and when she is talking to people she conscientiously listens to what they have to say," said Wu Qing, a retired professor of Beijing Foreign Studies University who met Mrs. Obama on Sunday.
"In China, we usually use weather to express our mood or state of mind, so the fact that the weather has been so nice these few days means she is very welcome in China," Wu said.
Mrs. Obama hosted a discussion about education with a handful of Chinese professors, students and parents, as well as the new U.S. ambassador to China, Max Baucus, at the U.S. Embassy on Sunday morning. In the afternoon, she visited part of the Great Wall in the northern Beijing suburbs with her daughters, 15-year-old Malia and 12-year-old Sasha, and her mother, Marian Robinson.
There, the first lady and her daughters walked a stretch of the wall that looks out to a massive rock inscription on a hillside that reads in Chinese: "Loyal to Chairman Mao."
T-shirts of President Barack Obama in a Mao hat that are common at Beijing tourist sites were absent from souvenir stalls Sunday, although at least one vendor showed a whole box of them when asked.
The purpose of Mrs. Obama's weeklong visit is to promote educational exchanges between the U.S. and China, although she brought up a contentious issue Saturday in a 15-minute speech at a university.
She said that freedom of speech and unfettered access to information make countries stronger and should be universal rights. But she did not call out on Beijing directly in her speech at Peking University's Stanford Center.
China has some of the world's tightest restrictions on the Internet, and Mrs. Obama's comments were absent Sunday from state media but circulated in social media, where they were widely praised.
"I was very impressed by her speech mentioning freedom of speech," said Zhang Lifan, an independent historian who said he had read about it in overseas Chinese media. "Although the Chinese constitution guarantees freedom of speech, Chinese citizens don't really enjoy that right. I think she just reminded China in a polite and mild way that not allowing freedom of speech is not conducive to China."
On Sunday, Mrs. Obama returned to the safer territory of education.
"It's personal, because I wouldn't be where I am today without my parents investing and pushing me to get a good education," she said.
"My parents were not educated themselves, but one of the things they understood was that my brother and I needed that foundation," she said at the U.S. Embassy before hosting a discussion among professors, students and parents chosen by the embassy. The session was closed to the media.
During the private discussion, Mrs. Obama asked about China's college entrance exam and how easy it was for graduates to find work, and expressed hopes that society would pay more attention to the disabled and that more students from ethnic minorities would participate in exchanges between the two countries, according to a student at the meeting who would only give her surname, Sun.
Mrs. Obama on Friday toured an elite Beijing high school in the company of Chinese President Xi Jinping's wife, Peng Liyuan. On Tuesday, she will visit a high school in the southwestern city of Chengdu.
Students who met Mrs. Obama praised her affability. "She was so approachable," said Lu Yuhong, 16, who guided the first lady in writing the Chinese character "eternal" in calligraphy at the Beijing school.
Mu Rongduomijia, 16, said she traveled Saturday from the northeastern city of Dalian to Beijing, hoping to hear Mrs. Obama's speech. Instead, she waited outside for glimpses of the first lady's entourage.