Angular binding object from parent to child component

I have a problem with Anglular 8 and binding input parameters from parent component to child component. I have the following setup:

-app.component.ts

import { Component } from '@angular/core';

@Component({
  selector: 'app-root',
  templateUrl: './app.component.html',
  styleUrls: ['./app.component.css']
})
export class AppComponent {
  title = 'parent-child-binding';
  showTitle: boolean = true;
  childData = [];

  onBoolean(){
    this.showTitle = !this.showTitle;
  }

  onComplexAdd(){
    this.childData.push("data 4");
    this.childData.push("data 5");
  }

  onComplexEdit(){
    this.childData[0] = "data 1 edited";
    this.childData[1] = "data 2 edited";
  }
  onComplexNew(){
    this.childData = [
      "data 1",
      "data 2",
      "data 3"
    ]
  }
}

-app.component.html

<button (click)="onBoolean()">Boolean Bind</button>
<button (click)="onComplexNew()">Complex Object New</button>
<button (click)="onComplexEdit">Complex Object Edit</button>
<button (click)="onComplexAdd">Complex Object Add</button>
<app-child [data] = "childData" [showTitle]="showTitle"></app-child>

-child.component.ts

import { Component, Input, OnChanges, OnInit, SimpleChanges } from '@angular/core';

@Component({
  selector: 'app-child',
  templateUrl: './child.component.html',
  styleUrls: ['./child.component.css']
})
export class ChildComponent implements OnInit, OnChanges {
  
  @Input() showTitle : boolean = true;
  @Input() data : Array<any>;
  
  constructor() { }


  ngOnChanges(changes: SimpleChanges): void {
    console.log(changes);
  }

  ngOnInit(): void {
  }

}

-child.component.html

<h3 *ngIf="showTitle">Hello from child</h3>
<p *ngFor="let item of data">{{item}}</p>

So when I start I see the following:

and the console:

When I click on the first button, as expected the title Hello from child shows and disappears. When I click on the second button, as expected I see:

and the console:

When I click on the third and forth buttons, nothing happens, not in the UI or console (the onChanges method seems that is not firing).

An I doing something wrong, or this that I want to achieve is not possible?

Best regards, Julian

EDIT: After a comment and an answer from @MBB and @Apoorva Chikara, I've edited the code.

<button (click)="onBoolean()">Boolean Bind</button>
<button (click)="onComplexNew()">Complex Object New</button>
<button (click)="onComplexEdit()">Complex Object Edit</button>
<button (click)="onComplexAdd()">Complex Object Add</button>
<app-child [data] = "childData" [showTitle]="showTitle"></app-child>

The edition made the buttons to act (do something), but it is not what I expect. What I mean: When I click on the Complex Object Edit button in the UI I see:

But in the console, there is no ngOnChanges callback firing, but the binded object has changed, as we can see on the print screen (<p *ngFor="let item of data">{{item}}</p>) fired and printed out the new values.

The same happens when I click on the Complex Object Add button. In the UI I see:

But in the console the ngOnChanges callback is not firing, but the UI is containing the new added data.

I'm confused, can anyone advice please?