Most application forms begin with general information about you - name, address, age, education, experience. If it is discovered that you have been elusive in the information you presented in your application, this will certainly create a sense of distrust. Employers want teachers who are trustworthy. Remember that this a profession for imparting knowledge - and that in itself must be done truthfully and with facts. Any subjective interpretation that is beyond the scope of pure truth on an application can cause worry as to how a potential teacher might present information in the classroom, on students' files, and on school forms.
Some applications ask for references.
Be sure to contact your references before submitting them so that they know to expect a phone call from your potential employer. Your references will answer with more surety if they have had time to think about what they will say. An application may not call for references. Many applications include a blank space for an essay answer. Keep your answers down to earth and practical.