Brother, do you understand Arabic? Please see this thread:
http://www.ahlalhdeeth.com/vb/showthread.php?t=58620
If not, then it is very difficult to translate and explain everything in English here.
In brief, for the sake of all other members:
The Hadith quoted above is narrated several times as follows:
Narrated Abu Huraira :ra:: A man entered the mosque and started praying while Allah's Messenger (ﷺ) was sitting somewhere in the mosque. Then (after finishing the prayer) the man came to the Prophet (ﷺ) and greeted him. The Prophet (ﷺ) said to him, "Go back and pray, for you have not prayed. The man went back, and having prayed, he came and greeted the Prophet. The Prophet (ﷺ) after returning his greetings said, "Go back and pray, for you did not pray." On the third time the man said, "(O Allah's Messenger (ﷺ)!) teach me (how to pray)." The Prophet said, "
When you get up for the prayer, perform the ablution properly and then face the Qibla and say Takbir (Allahu Akbar), and then recite of what you know of the Qur'an, and then bow, and remain in this state till you feel at rest in bowing, and then raise your head and stand straight; and then prostrate till you feel at rest in prostration, and then sit up till you feel at rest while sitting; and then prostrate again till you feel at rest in prostration; and then get up and stand straight, and do all this in all your prayers." [
Bukhari]
Narrated Abu Huraira :ra:: Allah's Messenger (ﷺ) entered the mosque and a person followed him. The man prayed and went to the Prophet and greeted him. The Prophet (ﷺ) returned the greeting and said to him, "Go back and pray, for you have not prayed." The man went back prayed in the same way as before, returned and greeted the Prophet who said, "Go back and pray, for you have not prayed." This happened thrice. The man said, "By Him Who sent you with the Truth, I cannot offer the prayer in a better way than this. Please, teach me how to pray." The Prophet (ﷺ) said, "
When you stand for Prayer say Takbir and then recite from the Holy Qur'an (of what you know by heart) and then bow till you feel at ease. Then raise your head and stand up straight, then prostrate till you feel at ease during your prostration, then sit with calmness till you feel at ease (do not hurry) and do the same in all your prayers. [
Bukhari]
(No mention of second prostration in this Hadith above)
Narrated Abu Huraira :ra:: Once the Prophet (ﷺ) entered the mosque, a man came in, offered the prayer and greeted the Prophet. The Prophet returned his greeting and said to him, "Go back and pray again for you have not prayed." The man offered the prayer again, came back and greeted the Prophet. He said to him thrice, "Go back and pray again for you have not prayed." The man said, "By Him Who has sent you with the truth! I do not know a better way of praying. Kindly teach Me how to pray." He said, "
When you stand for the prayer, say Takbir and then recite from the Qur'an what you know and then bow with calmness till you feel at ease, then rise from bowing till you stand straight. Afterwards prostrate calmly till you feel at ease and then raise (your head) and sit with Calmness till you feel at ease and then prostrate with calmness till you feel at ease in prostration and do the same in the whole of your prayer." [
Bukhari]
(No mention of Jalsa istiraha)
It was narrated from 'Ali- who is bin Yahya- from his father that:
A paternal uncle of his who was present at Badr told him, that a man entered the masjid and prayed, and the Messenger of Allah (ﷺ) was watching, but we did not realize. When he had finished, he came and greeted the Messenger of Allah (ﷺ) with salam. He said: "Go back and pray, for you have not prayed." So he went back and prayed, then he came to the Messenger of Allah (ﷺ) and he said: "Go back and pray, for you have not prayed." (This happened) two or three times. Then the man said to him: "By the One who has honored you , O Messenger of Allah (ﷺ), I have tried my best; teach me." He said: "
When you get up to pray, perform wudu and do it well, then turn to face the Qiblah and say the takbir. Then recite the Quran, then bow until you are at ease in bowing. Then stand up until you are standing straight, then prostrate until you are at ease prostrating, then sit up until you are at ease sitting, then prostrate until you are at ease prostrating, then get up, and continue doing that until you have finished your prayer." [
Nasa'i]
It was narrated that Rifa'ah bin Rafi'- who had been present at Badr- said:
"We were with the Messenger of Allah (ﷺ) when a man entered the Masjid and prayed. The Messenger of Allah (ﷺ) watched him without him realizing, then he finished, came to the Messenger of Allah (ﷺ) and greeted him with salam. He returned the salam and said: "Go back and pray, for you have not prayed.'" He (the narrator) said: "I do not know if it was the second or third time,- "(the man) said: 'By the One Who revealed the Book to you, I have tried my best. Teach me and show me.' He said: '
When you want to pray, perform wudu' and do it well, then stand up and face the qiblah. Then say the takbir, then recite, then bow until you are at ease in bowing. Then stand up until you are standing up straight. Then prostrate until you are at ease in prostration, then raise your head until you are at ease in sitting, then prostrate until you are at ease in prostration. If you do that then you will have done your prayer properly, and whatever you failed to do properly is going to detract from your prayer." [
Nasa'i]
(No mention of Jalsa istiraha)
Ali bin Yahya bin Khallad bin Raf' bin Malik Al-Ansari said:
"My father narrated to me that a paternal uncle of his, who had been at Badr, said: 'I was sitting with the Messenger of Allah (ﷺ) in the masjid when a man came in and prayed two rak'ahs, then he came and greeted the Prophet (ﷺ) with salam. The Prophet (ﷺ) had been watching him as he prayed, so he returned his salam, then he said: "Go back and pray, for you have not prayed." So he went back and prayed, then he came back and greeted the Prophet (ﷺ) with salam. He returned the salam, then he said: "Go back and pray, for you have not prayed." The third or fourth time this happened, then the man said: "By the One Who revealed the Book to you, I have done my best and have tried hard; show me and teach me." He said: '
When you want to pray, perform wudu and do it well, then turn to face the Qiblah and say the takbir. Then recite the Quran, then bow until you are at ease in bowing. Then stand up until you are standing straight, then prostrate until you are at ease prostrating, then sit up until you are at ease sitting, then prostrate until you are at ease prostrating, then get up. If you complete the prayer in this manner you wil hve done it properly, and whatever you do less than this is lacking from you prayer.'" [
Nasa'i]
As we can see, most of the Ahadeeth either say get up and stand straight or do not mention anything after the second Sajdah.
The link which I have pasted above explains both the Ahadeeth mentioned by brother Linkdeutscher. After a long explanation, it says about the Hadith quoted in OP as a summary,
أنّ خالد الحذاء أخطأ في نسبة الجلسة إلى رسول الله صلى الله عليه و سلم . و خالفه مَن هو أحفظ منه و أثبت ، فنسبها إلى عمرو بن سلِمة ، و ميّزها عن صفة الصلاة التي صلاها مالك بن الحويرث رضي الله عنه . بل و استغربها و نبّه على أنّ الناس لا يفعلونها . و يعني بالناس مَن أدرك مِن التابعين.
و أنّ عبد الحميد بن جعفر أخطأ في ذكر الجلسة قبل القيام ، و نفاها عيسى بن عبد الله و غيره . و لم يتعرض لذلك جُل مَن روى حديث أبي حميد.
The narrator Khalid :rh: has erred in associating the Jalsah Istirahah to the Prophet :saws:, and other narrators who were stronger in memory and more trustworthy than him have opposed him and they associate this jalsa to 'Amr bin Salamah :rh: and explain it as the prayer performed by the Sahabi Malik in Huwayrith :ra: (due to his old age). And they also say that the Tabi'een who were present there found this action by 'Amr :rh: as strange and they did not perform this jalsa.
Also that 'AbdulHameed bin Ja'far :rh: has erred in mentioning this Jalsa before qiyam and 'Isa bin 'Abdullah :rh: and others have denied it.
And regarding the Hadith quoted in Post#8, it is said:
قال البخاري نفسه مشيرا إلى خطإ ابن نُمير : " و قال أبو أسامة في الأخير " حتى تستوي قائما " .
Imam Bukhari himself has pointed out the mistake of the narrator 'Abdullah ibn Numair :rh: by saying at the end "Abu Usamah said: till you stand up straight".
There are things which only a Hadith and Fiqh scholar can understand. A layman is not supposed to pick up a Hadith and use it to derive rulings out of it. I recommend you to read link in its entirety for better clarification. And if you don't understand Arabic, please learn Arabic first before learning Hadith.