PHP Contact Form - email comes from "Nobody"

Everything seems to be working fine, but I cant figure out how to get the emails to come from the senders email address. Can anyone help me out on this?

Thanks in advance!

<?php
if(isset($_POST['submit'])) {

	$from = "Volunteer Submission";
	$to = "adam@email.com"; 
	$subject = "Volunteer Submission";
	$name_field = $_POST['name'];
	$email_field = $_POST['email'];
	$phone_field = $_POST['phone'];
	


	foreach($_POST['check'] as $value) {
		$check_msg .= "Volunteer for: $value
";
	}
	
	$body = "From: $name_field
 E-Mail: $email_field
 Phone: $phone_field
 $check_msg";

	mail($to, $subject, $body, $from);
	
}
?>
<form method="post" action="volunteer.php" name="contact" id="contact" onSubmit="return validate()">
                  <br />
                  <table border="0" align="center" cellpadding="2" cellspacing="0">
                    <tr>
                      <td width="38"><strong>Name: </strong></td>
                      <td width="257"><input type="text" name="name" size="19" /></td>
                    </tr>
                    <tr>
                      <td><strong>E-Mail: </strong></td>
                      <td><input type="text" name="email" size="19" /></td>
                    </tr>
                    <tr>
                      <td><strong>Phone:</strong></td>
                      <td><input name="phone" type="text" id="phone" size="19" /></td>
                    </tr>
                    <tr>
                      <td colspan="2"><strong>I would like to volunteer for: </strong></td>
                    </tr>
                    <tr>
                      <td colspan="2"><table border="0" cellspacing="0" cellpadding="0">
                          <tr>
                            <td><input type="checkbox" name="check[]" value="parking" />
Parking<br />
<input type="checkbox" name="check[]" value="greeters" />
Greeters<br />
<input type="checkbox" name="check[]" value="ushers" />
Ushers<br />
<input type="checkbox" name="check[]" value="guestservices" />
Guest Services/Information<br />
<input type="checkbox" name="check[]" value="hospitalityteam" />
Hospitality Team</td>
                            <td width="10">&nbsp;</td>
                            <td><input type="checkbox" name="check[]" value="newbeliever" />
New Believer Follow-Up<br />
<input type="checkbox" name="check[]" value="baptism" />
Baptism <br />
<input type="checkbox" name="check[]" value="couples" />
Couples<br />
<input type="checkbox" name="check[]" value="womens" />
Womens<br />
<input type="checkbox" name="check[]" value="mens" />
Mens</td>
                          </tr>
                        </table>
                        </td>
                    </tr>
                    <tr>
                      <td>&nbsp;</td>
                      <td><br />
                      <input type="submit" value="Submit" name="submit"/></td></tr>
                  </table>
                  </form>