Instead of working with innerHTML use the DOM methods.
Try replacing this:
header.innerHTML = '<a href="#" onclick="this.showScheduler(1);">Show</a>';
with this:
var x = this; // create a closure reference
var anchor = document.createElement('a');
anchor.href= '#';
anchor.innerHTML = 'Show';
anchor.onclick = function() { x.showScheduler(1); }; //don't use onclick in real life, use some real event binding from a library
header.appendChild(anchor);
Explanation:
The "this" in the original code refers to the element which fired the event, i.e. the anchor ("this' is notoriously problematic for things like, well, like this). The solution is to create a closure on the correct method (which is why you have to create something like the var x above) which then only leaves the problem of passing in the parameter which is accomplished by wrapping the method in another function.
Strictly speaking it would be much preferable to bind eventhandlers with the addEventListener/attachEvent pair (because direct event assignment precludes the ability to assign multiple handlers to one event) but it's best handled using a library like jquery if you're new to JS anyway.