Here are the instructions:

1. Create a new Navigation app using the blank template, as shown, and go into the Navigation folder:

$ ionic start Navigation blank
$ cd Navigation

2. Edit ./src/app/app.module.ts with the following code:

import { BrowserModule } from '@angular/platform-browser';
import { ErrorHandler, NgModule } from '@angular/core';
import { IonicApp, IonicErrorHandler, IonicModule } from 'ionic-angular';
import { SplashScreen } from '@ionic-native/splash-screen';
import { StatusBar } from '@ionic-native/status-bar';

import { MyApp } from './app.component';
import { HomePage } from '../pages/home/home';
import { OtherPage } from '../pages/otherPage/otherPage';

@NgModule({
  declarations: [
    MyApp,
    HomePage,
    OtherPage
  ],
  imports: [
    BrowserModule,
    IonicModule.forRoot(MyApp)
  ],
  bootstrap: [IonicApp],
  entryComponents: [
    MyApp,
    HomePage,
    OtherPage
  ],
  providers: [
    StatusBar,
    SplashScreen,
    {provide: ErrorHandler, useClass: IonicErrorHandler}
  ]
})
export class AppModule {}

3. Edit ./src/app/pages/home/home.html:

<ion-header>
  <ion-navbar>
    <ion-title>
      Home
    </ion-title>
  </ion-navbar>
</ion-header>

<ion-content padding>
  <ion-card>
    <ion-card-header>
      NavPush 1
    </ion-card-header>
    <ion-card-content>
      <p>Use both <code>navPush</code> and 
      <code>navParams</code></p>
        <button ion-button block [navPush]="otherPage" 
        [navParams]="myString">
          OtherPage 1
        </button>
    </ion-card-content>
  </ion-card>

 <ion-card>
  <ion-card-header>
  NavPush 2
  </ion-card-header>
   <ion-card-content>
    <p>Use only <code>navPush</code> and pass an array instead</p>
      <ion-list>
        <ion-item>
          <ion-label floating>Name</ion-label>
          Adding Ionic 2 Components 58
          <ion-input type="text" [(ngModel)]="myJSON.text"></ion-
          input>
        </ion-item>
      </ion-list>
      <div>
        <button ion-button block color="secondary" 
        [navPush]="otherPage" 
        [navParams]="myJSON">OtherPage 2</button>
      </div>
    </ion-card-content>
  </ion-card>

  <ion-card>
    <ion-card-header>
      NavPush 3
    </ion-card-header>
    <ion-card-content>
      <p>Use click event to trigger <code>nav.push</code> in 
      Javascript </p>
      <button ion-button block color="dark" 
      (click)="gotoOtherPage()">OtherPage 3</button>
    </ion-card-content>
  </ion-card>
</ion-content>

4. Edit ./src/app/pages/home/home.ts with the following code:

import { Component } from '@angular/core';
import { NavController } from 'ionic-angular';
import { OtherPage } from '../otherPage/otherPage';

@Component({
  selector: 'page-home',
  templateUrl: 'home.html'
})
export class HomePage {
  public myString: string = 'Example 1 - This is just a string';
  public myJSON: any = {text: ''};
  otherPage: any = OtherPage;
  constructor(public navCtrl: NavController) {

  }

  gotoOtherPage() {
    this.navCtrl.push(OtherPage, {text: 'Example 3 - This is an object'});
  }

}

5. Create the ./src/app/pages/otherPage folder
6. Create the otherPage.html file in the previously created otherPage folder:

<ion-header>
  <ion-navbar>
    <ion-title>Other</ion-title>
  </ion-navbar>
</ion-header>

<ion-content>
 <ion-card *ngIf="navParams.data">
    <ion-card-header>
      navParams.data
    </ion-card-header>
    <ion-card-content>
    {{ navParams.data | json }}
    </ion-card-content>
 </ion-card>

 <button ion-button block (click)="goBack()">
    goBack()
 </button>

 <button ion-button block navPop>
    nav-pop
 </button>
</ion-content>

7. In the same folder, add otherPage.ts as well, with the following code:

import { Component } from '@angular/core';
import { NavController, NavParams } from 'ionic-angular';

@Component({
  selector: 'page-other',
  templateUrl: 'otherPage.html',
})
export class OtherPage {

  constructor(public navCtrl: NavController, public navParams: NavParams) {
  }

  ionViewDidLoad() {
    console.log('ionViewDidLoad OtherPage');
  }
  goBack() {
    this.navCtrl.pop();
  }
}

8. Go to your Terminal and run the app:

$ ionic serve