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Karina R.'s Resources

Blogs

Over the many years I have been tutoring, I have time and again found myself hating the teachers that assign the homework and tests my students have to work on. Of course, this doesn't happen every time, or even most times, but it happens often enough that it prompted me to write this.   The reason I dislike these teachers so much is not related to how much work they create for... read more

Answers

This is just one of those polynomial cases. You start by assuming that y is of the form (x+1)^r, calculate y' and y'', plug them back in, factor what you get, and solve the r equation that you get so that the whole thing can be zero. You get more than one value of r, so the general solution...

Blogs

My latest thoughts have again been inspired by one of those little surveys WyzAnt like to ask their tutors. This time the question was about what we, as tutors, think parents should ask of us before hiring us to help their children. A seemingly innocent, simple question which, nevertheless, left me thinking. To be honest, I hadn't really considered this before. I do a lot of the asking... read more

Answers

In order for a star to remain a star, it needs to be in this constant state of equilibrium, where there are some forces (mostly fusion reactions) that make it expand, and some other forces (gravity) that make it contract. When all forces are balanced, the star maintains its size. But the problem...

Blogs

A recent survey question from the WyzAnt people got me thinking. The question asked how many hours of tutoring in took, on average, to help a student go up a letter grade. I found myself hesitating before answering, because I have done two different types of tutoring, with two very different results. In the end, I decided to answer based on my favorite type of tutoring: 7 to 10 hours. Let's... read more

I don't believe in ghosts

A very useful phrase to know how to say in Spanish. You know, for all those times when you're at an ESP convention and everyone around you speaks only Spanish.