This is mainly a workbook, and students are expected to be following some other course to get the bulk of their learning. However, each chapter covers some particular aspect of Polish grammar, and it first briefly summarizes that aspect and provides tables of paradigms before moving on to the exercises. Therefore, a reader who already knows a Slavic language could probably rely mostly on this book together with literature selections and chats with native-speaker friends to learn Polish (that was certainly the case for me, who already spoke fluent Russian).
This first book (it is followed by Intermediate Polish) covers all nominal declension and the present tense of most verbal declensions. It ends just as the past tense is introduced for the verb być ‘to be’. Thus, students won’t get to the imperfective/perfective distinction – always a tricky aspect of Slavic languages – until after this book. In addition, this book contains chapters on telling time, on the months of the year and the seasons, and the use of various prepositions.
An answer key is provided. However, a particularly disappointing aspect of the second edition of this book, published in 2015, is a large amount of typos in the answer key. The author seems to have revised her text without ever going back to check that the answers given match the new questions. Really, to reveal this problem, it would have been enough to ask one learner to work through the new edition before sending it to press.
The author included as an appendix a brief guide "How to learn an inflected language" that seems like it would be useful for those with little or no foreign-language-learning experience. This merited being placed in an introduction where readers would be more likely to notice it.