With the Protestant Reformation, the general population of England grew dramatically. Learning how to read and write generally took place:

a. At home, with the mother using the Bible and Bunyan's Pilgrim's Progress as core texts.
b. In the church, with the priests using texts in Latin and Greek as the core texts.
c. At home, using self-created texts and notebooks instead of the King James Bible and the Book of Common Praver.
d. In boarding schools, where children studied the Bible, the Book of Common Prayer, and occult works of alchemy.

a. At home, with the mother using the Bible and Bunyan's Pilgrim's Progress as core texts.

b. In the church, with the priests using texts in Latin and Greek as the core texts.

To determine the correct answer, we can analyze the context provided regarding the population growth in England due to the Protestant Reformation and the learning environment of that time.

The Protestant Reformation, which occurred in the 16th century, led to changes in religious practices, including the translation of religious texts into vernacular languages such as English. This allowed individuals to access and interpret religious texts without relying solely on priests or the clergy.

Given this historical context, we can eliminate option b, which suggests that priests used texts in Latin and Greek as core materials for teaching the general population. While Latin and Greek were important languages for clerical education, the Reformation aimed to make religious texts accessible to the masses.

Option c, which suggests that individuals at home used self-created texts and notebooks instead of the King James Bible and the Book of Common Prayer, doesn't align with historical practices. During this period, the King James Bible and the Book of Common Prayer were significant texts used for religious instruction. Therefore, option c is also incorrect.

Eliminating options b and c leaves us with options a and d. Now we need to examine the two remaining options to determine the most likely answer.

Option a, which states that learning to read and write generally took place at home, with the mother using the Bible and Bunyan's Pilgrim's Progress as core texts, aligns with historical practices during the Protestant Reformation. With the increased emphasis on reading and interpreting religious texts, families often educated their children at home using religious texts like the Bible. Bunyan's Pilgrim's Progress, a popular allegorical novel with religious themes, was published in the late 17th century and could have been used as a supplementary text for education.

On the other hand, option d suggests that learning took place in boarding schools, where children studied the Bible, the Book of Common Prayer, and occult works of alchemy. Although religious texts like the Bible and Book of Common Prayer were indeed studied during this period, the inclusion of "occult works of alchemy" seems out of place and unlikely. Alchemy was a separate field of study and not typically part of mainstream education during the Protestant Reformation.

Considering these factors, the most likely answer is option a: At home, with the mother using the Bible and Bunyan's Pilgrim's Progress as core texts.