Conjugation of the formal volitional form is straightforward: it's the -masu stem of the verb + ましょう (e.g. する→しましょう, 行く→行きましょう) ... As for conjugation into the informal volitional, it's explained in more detail here: http://www.guidetojapanese.org/learn/complete/desire_volition ... Your intuition about the -たい + と + 思う / 考える is correct

volitional is the -masu stem, am I correct? Iki-masu=iki'tai, ect. -tai means that the speaker wants to do something, used with kangaeru or omou, it can mean to think or consider. 考える=to think/ponder 思う=to have a opinion/to feel. (lit. "to feel". Comes from 思 (omo) meaning "feeling/emotion")

The verb 考える is fine for expressing "to consider"; 思う can also be used. To express volition/consideration of doing an action, you can use one of the following patterns: (volitional form of verb / -たい form of verb) + と考えている [考えています] (volitional form of verb / -たい form of verb) + と思っている [思っています] or (volitional form of verb / -たい form of verb) + と思う [思います] Examples: 日本語を勉強しようと考えています。 [I'm] thinking about studying Japanese. イギリスへ旅行に行きたいと思います。 [I'm] thinking about going on a trip to England. (More literally, I'm thinking that I would like to go on a trip to England) 携帯を替えようと思っています。 [I've] been thinking about changing my cell phone.

All right! :) thank you so much! I will look up simple lessons for the time being and get into te verbs as I progress :)

Kangaeru itself means to ponder. When put in -te aru/iru, it means in the process of thinking/considering. Nihon'go wo benkyô shite kangaerimasu. (I am thinking on studying Japanese.) I personally don't like to say Nihon'go wo benkyô shite kangae'te imasu because it sounds confusing. But -te verb+kangaerimasu makes more sense. It is a little too much to cover here without a course and is hard to explain. Try learning -te verbs later because they are way too complicated.