I see you and the OP liked that feature of math problems in the textbooks. I, however, disliked them completely. Here's why:
The format is usually on of: you have a chapter with explanation, samples, and rules. Fine and dandy, and then you get to the end of the chapter with a bunch of questions. The questions, usually, start off with simple, menial ones that test your knowledge of the chapter. These are not challenging in any way, they're just gatekeepers to make sure you memorized and can apply what was taught in the chapter.
And then, they completely flip it around and make the questions completely different and non-standard. They throw you into the deep end for no reason, without any progression. I wouldn't mind them twisting and slowly warping the questions with more complicated constructs that add new/unique elements, but they hardly ever did that. They instead just threw them all, haphazardly, into the "difficult" questions.
Again, I wouldn't mind that if I had some place to look for the answers in that book. Perhaps in an earlier chapter, which would mean that the "hard" problems in subsequent chapters would try combine the concept in the recent chapter with things learnt in older chapters.
Sometimes, I really think they don't always spend as much time on those practice/bonus questions as much as they should. We'd very easily get out of the whole "memorize + apply" rut of education, and into "learn, apply and extrapolate", which is where real intelligence/knowledge is.
The format is usually on of: you have a chapter with explanation, samples, and rules. Fine and dandy, and then you get to the end of the chapter with a bunch of questions. The questions, usually, start off with simple, menial ones that test your knowledge of the chapter. These are not challenging in any way, they're just gatekeepers to make sure you memorized and can apply what was taught in the chapter.
And then, they completely flip it around and make the questions completely different and non-standard. They throw you into the deep end for no reason, without any progression. I wouldn't mind them twisting and slowly warping the questions with more complicated constructs that add new/unique elements, but they hardly ever did that. They instead just threw them all, haphazardly, into the "difficult" questions.
Again, I wouldn't mind that if I had some place to look for the answers in that book. Perhaps in an earlier chapter, which would mean that the "hard" problems in subsequent chapters would try combine the concept in the recent chapter with things learnt in older chapters.
Sometimes, I really think they don't always spend as much time on those practice/bonus questions as much as they should. We'd very easily get out of the whole "memorize + apply" rut of education, and into "learn, apply and extrapolate", which is where real intelligence/knowledge is.