Dispose widget when navigating to new route

call Navigator.pushReplacement when routing between first and second screen.

import 'package:flutter/material.dart';

void main() {
  runApp(MaterialApp(
    title: 'Navigation Basics',
    home: FirstRoute(),
  ));
}

class FirstRoute extends StatefulWidget {
  @override
  _FirstRouteState createState() => _FirstRouteState();
}

class _FirstRouteState extends State<FirstRoute> {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text('First Route'),
      ),
      body: RaisedButton(
        child: Text('Open route'),
        onPressed: () {
          Navigator.pushReplacement(
            context,
            MaterialPageRoute(builder: (context) => SecondRoute()),
          );
        },
      ),
    );
  }

  @override
  void dispose() {
    // Never called
    print("Disposing first route");
    super.dispose();
  }
}

class SecondRoute extends StatefulWidget {
  @override
  _SecondRouteState createState() => _SecondRouteState();
}

class _SecondRouteState extends State<SecondRoute> {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text("Second Route"),
      ),
      body: RaisedButton(
        onPressed: () {
          Navigator.pushReplacement(
            context,
            MaterialPageRoute(builder: (context) => FirstRoute()),
          );
        },
        child: Text('Go back!'),
      ),
    );
  }

  @override
  void dispose() {
    print("Disposing second route");
    super.dispose();
  }
}

Try this

I know it's a bit late but I think you should override the deactivate method. Since we are changing the page we are not actually destroying it, that's why the dispose isn't being called.

If you'd like more information this page lists the lifecycle of the stateful widgets.

From the link:

'deactivate()' is called when State is removed from the tree, but it might be reinserted before the current frame change is finished. This method exists basically because State objects can be moved from one point in a tree to another.