Obsevation notes

All present tense.

correction

suggestion

Girl O and Girl D each place a pillow and a blanket for sleeping on the floor. O raps herself in a blue blanket like a chrysalis using both of her hands and legs. D spreads a white blanket that bigger than her body. During this As she does this, she jumps and throws her hands up with while holding the blanket and makes sure to spread it on the floor.
O is pretending to be asleep like as she lays down calmly without opening her eyes. D also lays down next to her with her a smile.
O says, “Ca ca durudu duuu” and gets up from her bed. D says, “No, it’s not morning yet.” But D also gets out of her bed and leaves the area.
Boy L holds a deep pan on his right hand and a circular stuffy on his left hand. He puts the stuffy on the pan and throws it up in the air while he is walking around the area.
D says, “It’s time for dinner.” and sits down on the chair. Then she sees a soup on the table and says with her a frown, “I don’t like this.” She throws the mushroom in the soup on the floor using a spoon with her right hand.
L pretends to feed the stuffy as their pet. He grabs it with his right hand and faces it to a bowl and says “Yum yum yum.”
D calls L “Dad”. O joins them. D says to O, “I’ll bring dinner.”
“It’s time to sleep!” D tells O and L. D walks to a mirror area and pretends to brush her teeth using a pencil crayon pencil. She sees herself in the mirror and holds the pencil to move it back and forth in front of her mouth. Afterwards, she pretends to spit.
Girl F brings a baby doll and puts it on the high chair. She feeds her using a spoon with her right hand.
She puts the foods back in the shelf and finds an injection. She uses it on the baby’s palm with her right hand.

This was such a fun read. You are telling us about a group of kids maybe?

Going back to grammar, I just want to add a little note. When you use the article 'the' as you did, for example in these cases: ...sits down on the chair, and ...puts it on the high chair, the chairs had not been mentioned before so it can sound a bit strange.

When you talked about the mirror, however, you introduced it first using 'a' like so: D walks to a mirror area... and then in the next sentence you say: She sees herself in the mirror... using 'the'. This sounds more natural because we already knew there was a mirror and now you are talking about that mirror.

Hope this helps. Not many mistakes really, only minor details. Good job!

Ok, so without knowing the context it's a bit difficult to get things "right" so, bear with me ;)

suggestions

corrections

praise

Observation summary

• Identifying possible topics based upon observations, multiple topics/predictions may be identified.
Based upon 20 minutes of observation, I can think of the possible topics are to be hunting games, a baby (If the topic is a particular baby then it's ok to use 'a baby', if not, then I would use 'babies'), a bed time bedtime (I don't think you need the article 'a' there unless you talk about something like "a bedtime story", but if you are talking about bedtime in general, you definitely don't need it), seasonal songs. 

To me this would be a bit more natural: Based upon 20 minutes of observation, the possible topics I can think of are: hunting games, babies, bedtime and seasonal songs.

• Number of children involved
There were three children involved with the girl who (I guess it's not incorrect to use 'who' in this situation but leaving it out sounds more natural to me) I was tracking at during (This is only another suggestion. Using 'at' to me, makes it seem as if the observation was some kind of event you attended, so it's not wrong, it just sounds a bit weird to me)the observation.

• Conversations amongst the children
She showed a (No need to use this article here unless you said something like: a sympathy feeling) sympathy when she was talking with her peers about the others who was were (Because you said 'peers', plural) absent at from the art area. She said to the other child who was in the art area that her friend was absent because of sickness and so, she was making a card for her.

My suggestion: She showed a great amount of sympathy when she was talking about her peers who were absent from the art area. She said to the other child in the art area that her friend was absent because she was sick and so, she was making a card for her.

• How teachers were supporting the play
The teachers set the environment up before the children came to the center. (Awesome!)

• How the environment facilitated the play
There were Christmas themed or and winter themed activities on the tables such as shiny blue snow dough, shaving cream and baking powder in the sensory table, and making a Christmas cards (If you use 'a' then you can't use plural) table. The children naturally would learn about Christmas and winter. (This last sentence is interesting. If you say: The children naturally would learn... to me it feels like you are saying: The children obviously would learn... However, if you switch 'naturally' and 'would' like this: The children would naturally learn... to me it sounds like you are saying it would be easy for them to learn.)

I hope I didn't confuse you too much! Please feel free to ask me if you have any doubts or need any help.

Un viaje de negocios.

He ido en a Taiwán este mes.
Estuve 3 semanas.
El fin de semana, fui a la cascade Shifen. La cascade es la más amplia cascade de Taiwán. (la oración es correcta pero te sugiero la siguiente forma) Esta cascada es la más amplia de Taiwán. 
El cielo estaba nublado y había mucha gente, pero la cascade es fenomenal.

Buen trabajo!

How do you define “good at second language”?

My ESL friends who have been studying since you they were in junior high school! Some of you them now live in English speaking country (because you are not specifying a country, you have to use the plural form here)countries (when you use a duration of time, you should probably use a different tense, like the present perfect continuous) and have been living there for a long time. Don’t you just hate someone telling you “Oh you speak good English”
You now feel much worse. What made him to think that I just started learning English? In my case the accent is the main reason. I am traumatized by “ha” implies “don’t understand you”. I am immersed with in English everyday because of my husband. Then one day, I saw this person with heavy accent explaining his (I think it sounds better if you use the plural here too, because you are not specifying what his "belief" is, so you are just talking in general) beliefs on TV. It was obvious that he was highly educated with on academic languages. Then I realized we should work on our accent, but need to aim to improve the content as well.

Hi Yoko-san! I hope you find my correction helpful! Keep up the good work!