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Old English þencan "conceive in the mind, think, consider, intend" (past tense þohte, p.p. geþoht), probably originally "cause to appear to oneself," from Proto-Germanic *thankjan (cf. Old Frisian thinka, Old Saxon thenkian, Old High German denchen, German denken, Old Norse þekkja, Gothic þagkjan); Old English þencan is the causative form of the distinct Old English verb þyncan "to seem or appear" (past tense þuhte, past participle geþuht), from Proto-Germanic *thunkjan (cf. German dünken, däuchte). Both are from PIE *tong- "to think, feel" which also is the root of thought and thank. The two meanings converged in Middle English and þyncan "to seem" was absorbed, except for archaic methinks "it seems to me." Jocular past participle thunk (not historical, but by analogy of drink, sink, etc.) is recorded from 1876.
thinking through n.
The psychological process of understanding one's own behavior.
v. thought (thôt), think·ing, thinks
To exercise the power of reason, as by conceiving ideas, drawing inferences, and using judgment.
To weigh or consider an idea.
To bring a thought to mind by imagination or invention.
To recall a thought or an image to mind.
(also thingumabob or thingumadoodle or thingummy or thingamadoger or thingamadudgeon or thingumbob or thingamananny)An unspecified orunspecifiable object; something one does not know the name of or does not wish to name; dingus, doodad, gadget: When you want to go down you push this thingamajig up as high as it will go/ athingummy so addicted to lethal violence (entry form 1824+, first variant 1832+, others late 1700s+ or 1800s+)