this.navCtrl.push(PageNameObject);

this is an example on how to make navigation pages with arrows in ionic2 and angular 2 with typescript code

home.ts

import { Component } from '@angular/core';
import { NavController } from 'ionic-angular';
import { QuizPage } from '../quiz/quiz';
@Component({
  selector: 'page-home',
  templateUrl: 'home.html'
})
export class HomePage {
    quizPage = QuizPage;
  constructor(public navCtrl: NavController) {   
  }

  // USAGE IN HTML: <button ion-button (click)="pushPage(quizPageObject)">Start</button>
  pushPage(PageNameObject){
    this.navCtrl.push(PageNameObject);
  }
}

quiz.ts


import { Component } from '@angular/core';
import { NavController, NavParams } from 'ionic-angular';
@Component({
  selector: 'page-quiz',
  templateUrl: 'quiz.html'
})
export class QuizPage {
  constructor(public navCtrl: NavController, public navParams: NavParams) {}
  ionViewDidLoad() {
    console.log('ionViewDidLoad QuizPage');
  }
}