T.M. Luhrmann cites many instances of this practice in her book When God Talks Back: Understanding the American Evangelical Relationship with God. Below I share some quotes to illustrate this point:
ONE OF THE FIRST THINGS a person must master at a church like the Vineyard is to recognize when God is present and when he responds. This can seem odd to someone raised in a mainstream church, where God is usually not imagined as a person with whom you have back-and-forth conversation throughout the day. At the Vineyard, people speak about recognizing God’s “voice.” They talk about things God has “said” to them about very specific topics—where they should go to school and whether they should volunteer in a day care—and newcomers are often confused by what they mean. Newcomers soon learn that God is understood to speak to congregants inside their own minds. They learn that someone who worships God at the Vineyard must develop the ability to recognize thoughts in their own mind that are not in fact their thoughts, but God’s. They learn that this is a skill they should master. At the beginning, they usually find both the skill and the very idea of the skill perplexing.
It is indeed a striking God, this modern God imagined by so many American evangelicals. Each generation meets God in its own manner. Over the last few decades, this generation of Americans has sought out an intensely personal God, a God who not only cares about your welfare but worries with you about whether to paint the kitchen table. These Americans call themselves evangelical to assert that they are part of the conservative Christian tradition that understands the Bible to be literally or near literally true and that describes the relationship with Jesus as personal, and as being born again. But the feature that most deeply characterizes them is that the God they seek is more personally intimate, and more intimately experienced, than the God most Americans grew up with. These evangelicals have sought out and cultivated concrete experiences of God’s realness. They have strained to hear the voice of God speaking outside their heads. They have yearned to feel God clasp their hands and to sense the weight of his hands push against their shoulders. They have wanted the hot presence of the Holy Spirit to brush their cheeks and knock them sideways.
In effect, people train the mind in such a way that they experience part of their mind as the presence of God. They learn to reinterpret the familiar experiences of their own minds and bodies as not being their own at all—but God’s. They learn to identify some thoughts as God’s voice, some images as God’s suggestions, some sensations as God’s touch or the response to his nearness. They construct God’s interactions out of these personal mental events, mapping the abstract concept “God” out of their mental awareness into a being they imagine and reimagine in ways shaped by the Bible and encouraged by their church community. They learn to shift the way they scan their worlds, always searching for a mark of God’s presence, chastening the unruly mind if it stubbornly insists that there is nothing there. Then they turn around and allow this sense of God—an external being they find internally in their minds—to discipline their thoughts and emotions. They allow the God they learn to experience in their minds to persuade them that an external God looks after them and loves them unconditionally.
I call this point of view the anthropological attitude. Anthropologists are taught as students to seek to understand before we judge. We want to understand how people interpret their world before passing judgment on whether their interpretation is right or wrong. And so I will not presume to know ultimate reality. I will not judge whether God is or is not present to the people I came to know. Yet I believe that if God speaks, God’s voice is heard through human minds constrained by their biology and shaped by their social community, and I believe that as a psychologically trained anthropologist, I can say something about those constraints and their social shaping. The person who hears a voice when alone has a sensory perception without a material cause, whether its immaterial origin is the divine presence or the empty night. Only some religious communities encourage people to pay attention to their subjective states with the suggestion that God may speak back to them in prayer. I will ask how a church teaches people to attend to their inner awareness and what training in prayer and practice they provide—and I can answer that question. Only some people have those startling, unusual experiences (although more people, it happens, than most of us imagine). I will ask whether some people are more likely to have those experiences than others, and whether there are differences in temperament or training that might set those who are able to have such experiences apart from those who don’t—and again, I can answer that question.
What is the Biblical basis for this practice?
Similar questions I found on the site
Do/which Christians believe they hear from God? - This question focuses on denominations that believe in hearing from God. Very insightful, but not exactly what I'm asking here.
How does one discern between thoughts inspired by the Holy Spirit and those produced from themselves - This question sounds like a question that someone who is joining the Vineyard for the first time would probably ask. Related but not exactly what I'm asking here. The question was also closed as opinion-based.
Why has God never spoken to me? - This question captures the frustration of someone who would like to hear from God, but hasn't had the privilege yet. Interesting and related, but not exactly what I'm asking here.
Do Cessationists believe that the Holy Spirit still speaks specific messages or instructions to Christians today? - This question does provide examples of Biblical passages documenting cases in which the Holy Spirit spoke to certain individuals for specific purposes. However, I'm not entirely sure if those passages would constitute the entire Biblical basis that someone from the Vineyard or similar denominations would utilize to support their practices. In addition, that question is concerned with the cessationist perspective, so the focus is different.