The action involved in “to get around a problem” is to: 
The lexical item ´handy´ is used in “Here´s a handy list” (line 4) and “keep it handy” (line 26). In each instance it means respectively: 
The only alternative below which in the text conveys the meaning of ´manner´is: 
In the fragments of the text: “they may lose the desire to master whatever task you are asking them to do” (lines 12-13) and “then you have to do more than just present lessons in the app” (lines 18-19), the verb forms in bold express the ideas, respectively, of 
In the sentence of the text: “However, if you want people to continue using the app, and use it frequently and often, then you have to do more than just present lessons in the app” (lines 17-19), the connector However can be replaced, without any change in meaning, by 
No contexto, o trecho “… a better way to develop, deploy, and manage data-tier applications” pode ser traduzido, mantendo-se o sentido, para: 
O texto informa que uma consequência do aumento de aplicações que utilizam banco de dados e da existência de hardware com baixo custo e alta capacidade de armazenamento foi 
Considerando o contexto, o termo grifado em “… new problems arise …” pode ser traduzido como: 
The expression indie workers, found in lines 10 and 90, refers to
In the fragments “and to seek out collaboration within and across fields” (lines 36-37) and “the grouplet came up with a campaign based on posting episodes” (lines 65- 66), the expressions seek out and came up with mean, respectively,
