Has your child been tested and identified with a learning disability and does she have an IEP (Individual Education Plan)? If the answer is yes to both questions, review her evaluation report (the testing) to see exactly what services she qualifies for and then read the IEP to see what her goals are paying attention to the SDI (specially designed instruction - the strategies & methods of instruction).
The regular ed teacher would be responsible for following the methods & strategies. If the IEP says that she can take tests with her special ed teacher or that the test can be read to her or that she can give her answers orally than the teacher MUST follow what is written in the IEP. It is a legal document.
If you read the evaluation report and the IEP (if they exist) and you don't understand them, meet with the special ed teacher (who would have written the IEP - the school psychologist probably did the testing) OR the principal - they would both be able to explain them to you. If you understand those two things, it will be easier for you to decide if the IEP is adequate and if you agree with it.
It is good that the regular ed teacher is communicating with the special ed teacher, but that may not be enough. Yes, there may be some things that you can do at home that you should try, but I would also want to know more about her test situations at school - is she allowed extra time, if reading comp is an issue & it is NOT a reading test (like math or social studies or something), is someone available to read the test TO her so she understands the questions before answering them, if writing is an issue can she give her answer orally to someone who will help her put them in writing. Depending on her disability, those could be reasonable accommodations for tests.
In addition, though, there may be some things that may help her (or help you help her) study at home. Maybe the teachers are giving those accommodations, but she is still having difficulty recalling information (even though she studied). That may be where their suggestions fall in to play, HOWEVER...
The teachers need to communicate with you & be available to answer your questions when you have them. They are "in the business" so they know things & take some knowledge for granted that those "outside" of the education world just don't know. The best situation would be to have someone who is really good at putting it all into plain English for you - not throwing out education-speak or acronyms - that should be the special ed teacher or the principal. Sometimes regular ed teachers don't even understand it all (though they should - they just aren't absorbed in it all day long every day like the special ed teachers).
I know that is a lot to absorb - you can certainly e-mail me if you have any questions.