The JavaBars Microworld: Basic Features and Examples Heide G. Wiegel John Olive The University of Georgia

Transcription

1 The JavaBars Microworld: Basic Features and Examples Heide G. Wiegel John Olive The University of Georgia Note: The microworld JavaBars is part of the research project "Children's Construction of the Rational Numbers of Arithmetic," NSF-Grant No. RED (principal investigators Dr. Leslie Steffe and Dr. John Olive, University of Georgia). The programmer for JavaBars is Barry Biddlecomb.

2 Introduction JavaBars is a rectangle microworld designed for conceptual work with fractions. The Fraction Project research team has worked with a similar microworld, TIMABars, with students in third, fourth, and fifth grade. TIMABars was an ObjectLogo program, and Object Logo has not yet been adapted to the new Macintosh and PC operating systems. JavaBars is programmed in the Java programming language and thus will work for PC and for Macintosh platforms. The program still has some bugs that will be corrected in time, we hope! Please be patient. I am introducing JavaBars as one environment in which students can explore and work with fractions. JavaBars is not a drill-and-practice environment and not meant to practice the procedural rules! But hopefully students will build connections between their work in the microworld and their work in the classroom, the textbook, and worksheets. My ultimate goal is that students make sense of what they are learning and have the skills to execute procedures efficiently. How to Load JavaBars JavaBars needs a Java Runtime Environment (JRE) in order to run. The JavaBarsEnglish.jar file can be found on Dr. Olive s web page: Once downloaded, double click on the JavaBarsEnglish.jar file and it should open up the Bars5_0 application. How to End a JavaBars Session Close the window or use Quit from the Bars5_0 pull-down menu item. 2

3 The JavaBars Screen The screen is divided into two parts: (a) the control area and (b) the working area (candy bar shop). The buttons in the control area are divided into four groups: the top row of buttons controls actions that are applied to whole bars; the buttons in the PARTS area control actions applied to equal parts of a bar; the buttons in the PIECES area control actions applied to pieces of a bar; these pieces might or might not have equal size; and the buttons in the bottom row control actions applied to the file. I will address the actions of each button in the glossary. Figure 1. The JavaBars screen. Glossary The Buttons in the Top Row The BAR button. Activates or deactivates the BAR-drawing function. Click the BAR button, it changes color. Trace a rectangle in the working space. You will get a red rectangular region. You can continue to produce bars as long as the button is highlighted. When you are done, click off the button or highlight another button. At this point, the rectangle will only extend to the right and down, that is, you cannot backtrack. The COVER button. Activates or deactivates the COVER-drawing function. Click the COVER button, it changes color. Trace a rectangle in the working space. You will get a gray rectangular region. You can continue to produce covers as long as the button is highlighted. Click off the button (or highlight another button) when you are done. You can move, copy, and erase covers. You cannot fill covers with a different color. A bar will always slide below a cover. The MAT button. Activates or deactivates the MAT-drawing function. Click the MAT button, it changes color. Trace a rectangle in the working space. You will get a pink rectangular region. You can continue to produce mats as long as the button is highlighted. Click off the button (or highlight another button) when you are done. You can move, copy, and erase mats. You cannot fill mats with a different color. A bar will always slide above the mat. 3

4 The ERASE button. Activates or deactivates the ERASE function. Click the ERASE button, it changes color. Click on the bar, mat, or cover you want to erase. Alternately, trace a rectangle around the pieces (bars, mats, covers) you want to erase. Everything in the rectangle will be erased. Click off the button (or highlight another button) when you are done. The COPY button. Activates or deactivates the COPY function. Click the Copy button, then click on the object (bar, cover, mat) you want to copy. A light blue outline appears around the object. Click in the workspace and a copy of your object appears. Continue clicking in the workspace as long as you want to copy the chosen object. Click off the button (or highlight another button) when you are done. The JOIN button. Activates or deactivates the JOIN function. Click the Join button, then one first piece; a blue frame appears. Next click on the second piece close to the side where you want to join. When the two pieces are joined together, a yellow segment appears at the place where the two bars are joined. This segment indicates that the resulting bar has two PARTS (even though the parts may not be the same size). You can break the parts apart to regain the original two bars by using the BREAK button under the Parts section of the control buttons. In order to join two pieces, they have to have the same dimension along the side you want to join. That is, they have to have the same height or the same width. To deactivate the JOIN button, either click the button itself, another button, or just click on an empty spot in the workspace. Figure 2a. Join along vertical edge. Figure 2b. Join along horizontal edge. Figure 2c. The joined bars. 4

5 The CUT button. Activates or deactivates the CUT function. Click the CUT button, then click on the bar. If you want to cut the bar horizontally move the pointer horizontally to the right or left and click. If you want to cut the bar vertically move the pointer vertically up or down and click. To terminate the CUT function, click the button, activate a different function, or click in the workspace. Figure 3. Various cuts; some pieces have been joined. The FILL button. Activates or deactivates the FILL function. The default color for a new bar is red. Click the FILL button, a window appears. Select a color and click the OK button. Click the bar you want to fill with the chosen color. You can move from bar to bar, the Fill function stays active unless you click on the workspace. To terminate the FILL function click the button or somewhere in the workspace. Figure 4a. The Fill screen. Figure 4b. Color demonstration. The REPEAT button. A bar can be repeated vertically or horizontally. Click the REPEAT button and then click on the bar. A blue frame appears. Move the pointer either horizontally or vertically and click. The direction of your move tells the computer in which direction to repeat. To turn off REPEAT, click on the button; this deselects the bar. Then click anywhere on the screen or choose another function. This deselects the button. 5

6 Figure 5. Results of the REPEAT function. The SET UNIT BAR button. Selects a bar as your unit whole. Click on the SET UNIT BAR button, then on the bar you designate as your unit. The label Unit Bar appears in the bar. If you select a different bar as your unit bar (whole), the label disappears from your previous choice. If you save a screen and later load it, the UNITBAR function is no longer active, although you still see the label. You have to re-select the bar as your unit bar. The MEASURE button. Measures a bar in terms of the designated unit bar. Click on the MEASURE button, then on the bar you want to measure. The MEASURE function will always return a fraction (proper or improper) in lowest terms. The MEASURE function can only be applied to multiples of the unit bar or to parts of the unit bar created with the PARTS functions. The LABEL button. Assigns a label to a bar. Activate the Label button, the choose a bar. A window appears. Place the cursor in the writing area and type your label. Click OK, and your label appears on the bar. The label replaces a previous MEASURE. Figure 6. The LABEL function in action. 6

7 The GROUP button. Collects bars into a group. The Group function is a practical rather than a conceptual function. Once bars are grouped you can move all of them at the same time rather then move every bar by itself. Click the GROUP button, then successively the bars you want to group. To terminate the GROUP function, deselect the button or select a different function. The UNGROUP button. Ungroups previously grouped bars. Click the UNGROUP button, then the group of bars. The Buttons in the PIECES Menu When you use the buttons in this menu, you, the user, determine the size of the pieces. Your pieces may or may not be of equal size. The UP/DOWN and LEFT/RIGHT buttons. Determines whether the bar is marked horizontally or vertically. Click the button to turn it on; click it again to turn it off. With the UP/DOWN button or the LEFT/RIGHT button turned on, click on a bar. A white line appears at the tip of the pointer. The bar is divided into two pieces, but with the bar still intact. In Figure 7, the first mark was made with the UP/DOWN highlighted, the second mark was made with the LEFT/RIGHT button activated. The PIECES and BAR buttons. Determines whether your operations effect the whole bar or just a piece of the bar. These two buttons work like radio buttons, that is, you turn one of the buttons off by turning the other one on. In Figure 7, for the horizontal mark in the middle bar, the PIECES button was turned on, for the bar on the right, the BAR button was turned on. Figure 7. The effect of the PIECES and the BAR button. The BREAK button. Activates and deactivates the BREAK function. Highlight the BREAK button, then click on a bar that is marked. The bar is broken into its pieces. 7

8 Each piece is now a bar in its own right (Figure 8). Figure 8. Results of the BREAK function. The FILL button. Activates and deactivates the FILL PIECES function. Activate the FILL button, the same window as in the general FILL function appears. Choose a color, then click the OK button. Click on the piece you want to fill. If you want to fill the next piece with a different color, as shown in Figure 9, you have to turn the FILL button off and on again. Otherwise, click on the next piece you want to fill. Figure 9. Color demonstration. The CLEAR button. Activates or deactivates the CLEAR function. Click on the CLEAR button, then anywhere on the bar. All marks are erased from the bar. The PULLOUT button. Activates or deactivates the PULLOUT function. Activate the PULLOUT function, then click on the piece you want to pull off from the bar. Deactivate the PULLOUT function. Grab the piece and move if off the bar. The original bar is still intact. The piece can now be used to check whether your mark or marks divide the bar into pieces of equal size. In Figure 10, for example, the bar was supposed to be divided into two equal pieces. The turquoise piece, however, is larger than the red piece. You can pull out several pieces: Click on each piece you want to pull out, then deactivate the function and move the pieces (Figure 10). 8

9 Figure 10. Results of the PULLOUT function. The COMBINE button. Activates and deactivates the COMBINE function. Erases selected marks from a bar. Activate the COMBINE function. Click on the pieces you want to combine. In Figure 11, the three bars in the second row are copies of the right bar in the upper row. Left bar in second row: With the COMBINE function activated, I clicked on piece 1, then on piece 2. I then clicked on the combined part, then on piece 3. Middle bar in lower row: With the COMBINE function activated, I clicked on piece 1, then on piece 4. I turned off COMBINE function and turned it on again. In then clicked on piece 2, then on piece 3. The difference between the two bars is that in the left, three pieces are combined to one; and in the middle bar, two pairs of pieces are combined. Right bar in lower row: The bar was broken in to its constituent pieces. The JOIN function was used in order to change three pieces into one. Figure 11. Results of the COMBINE and JOIN functions. 9

10 The Buttons in the PARTS Menu When you use the buttons in this menu, the computer calculates the size of the parts. The parts from any one action will be of equal size. The UP/DOWN and LEFT/RIGHT buttons. Determines whether the bar is marked horizontally or vertically. Click the button to turn it on; click it again to turn it off. With the UP/DOWN button or the LEFT/RIGHT button activated, choose the number of parts and click on a bar. One or more yellow lines appear. The bar is divided into the indicated number of parts, but the bar is still intact. In Figure 12, the marks in the middle bar were made with the UP/DOWN button highlighted. For Number of Parts, 3 had been highlighted. The marks on the bar on the right were made with the LEFT/RIGHT button highlighted. Number of Parts was still 3. Figure 12. Partitioning a bar into parts of equal size. The PARTS and BAR buttons. Determines whether your operations effect the whole bar or just a part of the bar. These two buttons work like radio buttons, that is, you turn one of the buttons off by turning the other one on. In Figure 13, for the horizontal mark in the middle bar, the PARTS button was turned on, for the bar on the right, the BAR button was turned on. Figure 13. Effects of the radio buttons PARTS and BAR. The BREAK, CLEAR, COMBINE, FILL, and PULLOUT button work the same way as in the PIECES menu. 10

11 The File Control Buttons Not all buttons in this row are functional at this time. The NEW button. Click the NEW button, a window appears (see Figure 14). If you choose yes, your work will be cleared and you get a clear screen. Figure 14. The safe-guard screen. The SAVE button. Click the SAVE button, a familiar window appears. Select the folder and name your file. Follow the rules of your operating system. As a Mac user, you can also capture your work by taking a picture. You have to press three buttons at the same time: shift, command, and 3. You hear the same sound as if you are taking a picture with your camera. The pictures appear on your hard drive and are listed as Screenshot with the date and time. You can also take a picture of a selected part of your screen by using Shift-Command-4. You then drag a rectangle around the part you want to take the picture of. All picture in this manual were taken this way. However, these pictures are static, you cannot load them into the program and continue your work but you CAN PRINT them using the Preview application on your Mac. The LOAD button. Click the LOAD button, a familiar window appears. Select the folder and name that identify your file. Follow the rules of your operating system. The CONFIGURE button. Once the CONFIGURE button is functional you will be able to turn off functions of the program temporarily. It is not yet functional. 11