What exactly do truth tables mean? I'm struggling understanding truth tables.
Let's denote a true proposition by 1 and a false proposition by 0.
We will be considering the propositional
operation, $\Rightarrow$ (implies).
The truth table looks like the following 
\begin{array}{c|cc}\rightarrow & 0 & 1\\\hline\\0 & 1 & 1\\1 & 0 & 1\end{array}
Does this say that $(0 \land 0) \rightarrow 1$?
If it does, what exactly does that mean -- are we looking at $(0\rightarrow0)$ as one proposition and saying it is true?
Can you please explain this in english -- using sentences like (x>5 for propositions instead of just writing $P$ or $Q$ for propositions)
EDIT
 A: 
What you've posted is the truth table for material implication (the conditional) $p \rightarrow q$.
EDIT: 
To better understand the material conditional (the connective $\rightarrow$, i.e. implication), see the following posts:


*

*Not understanding the truth table for logical implication

*How is $p\rightarrow q$ true when both $p$ and $q$ are false?

*How to interpret material implication and explain it to a freshman?

*Help to understand material implication
At each of those links, you'll find more linked questions that are also relevant. 
You are not alone: logical implication (e.g. $p\rightarrow q$) is perhaps the most difficult connective to grasp, in terms of its truth-table and how it is defined, in classical logic, (which is, in part, explained by the fact that in natural language, the term "implies" is used in ways whose meaning is not captured by its narrower meaning, as defined in logic).  
If you have any further questions, I'll be happy to try and answer them!
A: See this answer, or any of the other fine answers to that question.
A: If (as both the question title and initial sentence suggest) you are struggling with truth tables more generally, read a good introductory logic book. To help you with this sort of thing is exactly what such books are there for. If one doesn't work for you, try another. But you'll find patient explanations (more extended and careful that we can give here).
For example, you could look at Paul Teller's A Modern Logic Primer. Download the first four chapters from here: http://tellerprimer.ucdavis.edu/pdf/
Or you could look at my Introduction to Formal Logic or Sam Guttenplan's The Languages of Logic or Paul Tomasi's Logic (to mention just a few other books which aim to be particularly accessible at this introductory, and are thought to succeed).
