Serial Monitor statements

Try this

const int BELOW_THRES = 0;
const int ABOVE_THRES = 1;

int prevState = BELOW_THRES;

int thres = 500;


void setup() {
    Serial.begin(9600);
}


void loop() {
    int currValue = analogRead(A0);
    int currState;

    if (currValue > thres) {
        currState = ABOVE_THRES;
    }
    else {
        currState = BELOW_THRES;
    }

    if (prevState != currState) {
        if (currState == ABOVE_THRES) {
            Serial.println("UP");
        }
        else {
            Serial.println("DOWN");
        }
    }

    prevState = currState;
}