if it does not constitute other higher level of learner, i can say that the correct answer is specifically. in other words, the book you are referring to is actually designed only for a specific learner and that learner is a newbie or a beginner and no one else. that is how i understand your taught. :-)

Yes technically all of these words are correct...but like Mark, I would choose "Specifically". Because: 1."Specially" gives the sentence a different meaning, that is.. ~It was designed in a special way~ But we are not trying to say HOW it was designed..but WHO it was designed for. (Beginners) So we can choose between " Especially" and "Specifically" 2. I would choose Specifically because it is a more *professional* word in this context. Hope this helps

1. Use especially to mean “very” or “extremely,” as in these examples: There is nothing especially radical about that idea. The food was not especially good. 2. Use especially when something stands out from all the others, and you want the meaning of “particularly,” as in these examples: She can't be sure she will win, especially at this early stage of the campaign. The appetizers and especially the soup were delicious. 3. When you want to convey the meaning “for a special purpose,” or “specifically,” you can use either especially or specially. They are both correct. 4. When you want to convey the meaning “in a special manner”, as in this example below, use specially. In this context, especially would sound odd or wrong to most native speakers. I don't want to be treated specially. I don't want to be treated especially. （Wrong) Specifically: having a special application, bearing, or reference; specifying, explicit, or definite:

All of your choices make sense. Specially, especially, and specifically in this sentence all modify the word "designed" to mean that the book was designed with the purpose of teaching beginners basic English.

What are your choice? You don't provide enough information to understand your question.