On page 21 of 「初級を教える人のための日本語文法ハンドブック」, the authors make a valiant attempt at compiling the meanings of Japanese particles. The chart is at the bottom of this post. However one has always been difficult for me to comprehend, and that's the 「内容」 meaning of で.
(The asterisk after 内容 indicates that details are explained in the book's sequel, but unless I'm somehow missing it, I can't find information about it there.)
Other than 「進学のことで先生に相談する」from the chart, the only explicit example of this で in the book is 「ともやくんは宿題で人形を作った。」"Tomoya-kun made a figure for his homework." on page 20.
So my three questions are: ① What is a definition of this で? ② How does 「宿題で作った」differ from に in sentences like 「朝食にお茶を飲む」"drink tea for breakfast" or 「お土産に葉書が欲しい」"I want a postcard as a souvenir"? ③ I found two sentences below that I THINK fit into this category, but I could use some confirmation that they are in fact the same で:
この動画では、浅草で写真を撮りましょう。In this video, let's take pictures in Asakusa.
(JLPT N5 聴解 introduction) 問題一では、初めに、質問を聞いてください。For problem number one, first, listen to the question.