Not a teacher or always correct with finer points of grammar but am a native English speaker. The two terms have the same meaning here. But I would say the first sounds more formal, and a bit more passive voice to me. The second seem to carry the sense of a subject/actor that is using the technology while "technology use" is more abstracted from any person (though clearly people are there somewhere ;-)

Technology use refers to the casual use of technology, while technology integration refers to using technology to enhance the learning experience: Technology use: This is the general use of technology for entertainment or other purposes, without a specific learning goal. For example, using a coffee machine or the internet. Technology integration: This is when technology is used to teach curriculum in a way that's engaging and centered on learning. The goal is to incorporate technology into the learning experience to make it more productive and enjoyable for students. For example, using multimedia to teach a subject and technology skills at the same time. Technology integration can help students develop communication and presentation skills, and be more actively engaged in their education.

Technology is a noun, meaning a piece of machinery and equipment developed from the application of scientific knowledge. For example, a mobile phone is a piece of technology. To use that technology means the way you actually use that machinery, so if you use a mobile phone it means that you pick it up and use it. To use: this is the verb (the doing action). In the same way, food is a noun (a thing or a concept of that thing) so you can say you like eating food or you like food. To eat the food is more specific. Food itself is a general concept or the pieces of food themselves. To eat is the verb, the doing action that you do to the food.

I can detect no difference in meaning. The two noun phrases 1. "technology use" and 2. "using technology" are different names for the same thing. In #1, the noun is "use" (which is pronounced differently from the verb "use") and the noun "technology" is repurposed as an adjective to modify that noun. (It is legitimate to use nouns as adjectives.) In #2, the noun is "using". It is a present participle used as a noun. Present participles can always be used as nouns. When used this way it is called a "gerund". "Using" is NOT a verb. Verbs have subjects but a present participle can never have a subject. However, it is not just an ordinary noun. It has special properties that nouns like "chocolate" do not have. In particular, a gerund can have a direct object. In "using technology", the noun "technology" is the direct object of the participle "using".