<input name="education[1][yearbegin]" type="date" class="form-control">
<input name="education[2][yearbegin]" type="date" class="form-control">

{"education.1.yearbegin":["The education.1.yearbegin field is required."]}
{"education.2.yearbegin":["The education.2.yearbegin field is required."]}

var errors = $.parseJSON(data.responseText);
alertHtml += '<ul>';
$.each(errors, function (key, value) {
    $('.form-control[name=' + key + ']').closest('.form-group').addClass('has-error');
    alertHtml += '<li>' + value + '</li>';
});
alertHtml += "</ul>";

education.1.yearbegin

education[1]yearbegin