Hi Fedupflo,
I have some recent experience of this through a friend who is in the same situation as you.
My advice to you is to get an actuary involved because you are comparing apples to oranges.
It looks like your ex to be has defined contribution pensions (ordinary pensions) which means money is paid into them by himself/employer, the funds are invested and the CETV is straightforward in that it represents the actual amount in the pot.
Your teacher's pension, however, is defined benefit which is very different. It means you are paid a guaranteed income on retirement based on your years of service and earnings level. These are generally much more valuable because they are guaranteed. The CETV is generally much lower than the actual value required to give you this guaranteed income, hence the need to have it looked at properly.
Therefore to add both CETVs together and splitting them down the middle may be disadvantageous to either of you. For example, if you have to give your ex a share of your final salary pension it can adversely reduce your guaranteed income. You have not stated who has the larger pensions.
You are better off, especially if the pensions have significant value, having an actuary look at the pensions to equalise the income on retirement. You can share the costs with your ex and the information will stand up in court. Don't get caught out signing away your retirement income.
The TPS may also be of use to you for information on your teacher's pensions.
Good Luck