php session variable is not updating in jquery

I am trying to update php SESSION variable in jquery mouse event but it is not updating. My jquery function is as follows:

$(document).mousemove(function(e){
        <?php $_SESSION['last_activity_time'] = time(); ?>
        alert('<?php echo date("H:i:s", $_SESSION['last_activity_time']); ?>')
}); 
Copy code

I even used time() function in alert box to check and even with that every time I move the mouse i got the same time. The mousemove function is working since every time i moved it a alerbox shows. But every time the time is same. I don't know what I am doing wrong here...

In some post I found that I can use ajax for updating the session variable. But in that process , what i know(not an expert in ajax) is that the ajax call will goto other page and after performing desired function it return to the current page and I dont want to redirect to soem other php page. I want to update this session variable without moving to other page.

Kindly point out what i am doing wrong in above function and how i can solve this problem.

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