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Java gui that allows user to move fields

I'm trying to create a java gui, currently I'm playing around in the netbeans IDE using their gui creator, but I've also been reading a book about Swing and trying to learn it that way as well. Im hoping someone can help me with a problem I'm having. I'm attempting to allow users to have a "pool" of fields they can choose from (for instance a title, a paragraph, a text fiend, buttons, etc) and be able to move items from the pool into another potion of the window which would let them create their own layout. At this point I don't need these fields to DO anything, but I do want the user to be able to move them around and create their own layout. Is there any way to do this?

I think that to do this, you'd need to use a null layout on the container that would hold the movable components, and you'd have to give the components MouseListeners and MouseMotionListeners (conveniently combined into MouseAdapters) that are active when the program is in the set-up state, but then inactive when the program's components have been all set.

You could use the DragLayout from the tips4java website.

Using CardLayout in NetBeans GUI Builder

I am using the NetBeans 7.2.1 GUI Builder. I could do all of this by hand. Instead, I am using my current project to learn how this tool works so that I can make an informed decision of when to use it in the futre (if at all).
Now with help of archived questions here, I have figured out how to change the LayoutManager to a CardLayout. I have also added three JPanels to the layout (although, there seems to be a bug...maybe a question about that later). The first JPanel displayed by the CardLayout will have two buttons. Each button will cause the CardLayout to display one of the other two JPanels. To do this, I found that I can use CardLayout#show(Container, String).
I need to know what the value of the String is for each JPanel. Doing some further research, I found that NetBeans generates a line of code such as
getContentPane().add(addCardsPanel, "card2");
So I can use "card2" to show addCardsPanel. It would be convenient to use a more applicable String. Will NetBeans allow me to set this identifying String to whatever value I wish? If so, how do I do it?

In the Navigator window select the panel you want.
In the Properties window scroll down to the Layout group. You'll see a Card Name property. Knock your self out ;)

Creating a Grid in Java

As a way of learning Java, I'm writing this little application for grade schoolers to practice basic math. The idea is that the kid does any number of math problems, as long as they are in the app, it just continues to throw problems at them until they click a 'Done' button. When they decide to be done, I want a new JFrame to come up that will show them all of the problems they attempted, along with their answer, and whether they got the problem right or wrong.
The advice that I am looking for is what is the best way for me present these results. I looked into the GridLayout and the GroupLayout, but I don't think that these are exactly right. I did something similar in VBA for Excel, and there I just ran a for loop with one iteration for every problem they attempted. Each iteration would add a row of labels to the frame with the elements of the problem displayed in the various labels. I tried this in Java, but I'm not even able to get the labels to even display.
So before I get all specific and start posting my code, I want to ask a bigger question, which is "what is the best method to create a view like this?" Often, I go off in one direction only to waste time before somebody suggests a totally different (and better) approach.
Thanks!
(edit: here's an image of how I did this in Excel. I'm trying to repeat basically the same thing in Java)

One simple way to make that design would be to use a mix of components. You could have a bunch of JLabels and JPanels stacked in a vertical FlowLayout. The grid you have described would be best designed in a JTable, something like the below:

If you like tables like Excel then, Java provides JTable class to create tables, if you want.
Tutorial : http://docs.oracle.com/javase/tutorial/uiswing/components/table.html

Java Netbeans: How to layer panels on top of each other?

Please bear with me as I've just started using NetBeans for the first time! Basically what I'm trying to do is create different panels that fit inside one frame, except that only one panel will be visible at a time. It'll start with one panel, and depending on what the user inputs, the panel that corresponds to what the user puts in pops up.
I've tried looking into utilizing LayeredPanes since that's what I've come after hours of researching this only.. I don't understand how to do it! I think using different panels would be much easier than using different frames, so that's why I'm just going to stick with layering panels.
If anyone could explain LayeredPanes, I'd be very grateful! I'm not sure my coding will help here, but if anyone needs it I'll put it up.

This tutorial should point you in the right direction, however, if you want to have items positioned over each other, you might also want to take a look at the CardLayout:
The CardLayout class manages two or more components (usually JPanel
instances) that share the same display space.

Reading your question I dont think that what you need is a LayeredPane,
Basically what I'm trying to do is create different panels that fit inside one frame, except that only one panel will be visible at a time.
Tell exactly what you want to achieve, I mean on what you are working on.
...and depending on what the user inputs, the panel that corresponds to what the user puts in pops up.
I'd like to suggest a JDialog , show dialogs depending on the user inputs. To make sure if this is what you need, you want to provide us with more information. :)

How to Create a Java Quiz GUI?

I would like to create a quiz for my Java GUI.
I'd like it to display a question on one page, then have a next button which takes the user to another page telling them if that question was correct or not, and if it is correct they can move on to the next question (by clicking another next button) and if they got it wrong, have to go back and answer it again. However I have no clue how to do this!!
So far I have a simple GUI with a welcome page and tabs down the side, one of which includes a quiz. Would it be a better idea to create the quiz in Flash or something and then embed it into my Java application? Or just do the whole thing in Java? I'm really new to java so I'm not at all sure what to do, any help would be greatly appreciated!
Thanks

It would be best to use just Java. Consider using CardLayout with your GUI to allow swapping questions, or else you can create and modify key components on the fly such as the text displayed by JLabels and JRadioButtons.
Key though before considering any GUI structures is to first create solid OOPS based non GUI classes to handle your questions. For instance, you may want classes for:
Question class that holds a question String, a List of possible answer Strings, a correct answer String. This class can randomly order the incorrect and correct answers, can have a method for checking if the answer selected is correct.
A Test class that holds a collection of questions, that can present questions in random order, that can hold the score obtained.
A QuestionReaderWriter class that can read and write questions to a text file (you definitely do not want to hard-code the question text).

For this type of app it would be best to use the language you are more familiar with.
Since this is just a simple display this then do that there really is nothing very difficult about it.
Personal, I would lean towards Flash as the flash IDE is drag and drop and an experienced flash guru could make this in a few hours. Flash IDE is geared towards this.