## The Hot Tub

Found at: http://math.rice.edu/~lanius/Algebra/hottub.html

The technologies used in this lesson are a word processor, a blog, a microphone, and sound editing software (such as Audacity).

### Objectives of the technologies:

• Word processor – Students will use a word processor to compose a brief (less than one page) story following the idea given in the “Another Story…” section of the lesson plan.
• Blog – Students will publish their stories on a class or public blog. This follows the meme of “explain this picture mathematically”. They will publish both their printed and their reading of the story. (This motivates a conversation on the pros and cons of different representations of the story.)
• Microphone – The microphone will be used to capture each student telling their story in front of the class.
• Sound editing software – The students will use Audacity to prepare their story for inclusion on their blog as a podcast.

### Software and Hardware requirements:

• computer with enough storage space for a hour or so of uncompressed audio
• web browser
• sound editing software
• microphone

### Skills required:

• Teacher – The teacher must be able to troubleshoot audio problems and levels with the student to record the student’s presentation, should be familiar with sound editing, and should know how to upload audio to a blog.
• Students – Students should be familiar with a word processor and know how to use their class/individual blog account.

### Reflections on the technology:

The comprehensiveness of the storytelling might be overkill, but it does illustrate an edit cycle of preparing a word processing document for something, rather than an end in itself. The underlying assumption here is that students will enjoy hearing the stories that their peers concoct. The process of creating a story emphasizes thinking deeply about how mathematics is connected to life. To shorten the process, an alternative to formal presentations is to set up a sound booth station in a closet or a corner, but then one cannot ensure that other students will hear the stories.

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## Multiplying binomials with F.O.I.L.

Found at: http://www.lessonplanspage.com/MathMultiplyingBinomialsWithFOIL812.htm

The technologies used in this lesson are a Wiki, a graphics program (such as Inkscape), and the World Wide Web.

### Objectives of the technologies:

• Wiki – The Wiki will be used to present and share the group’s solution to a way to multiply binomials in the expanded discovery phase of the lesson; it should explain in detail to an audience including their classmates how to perform their method. At the end of the creation phase, students will use the Wiki to compare their solutions. Each student will individually choose a method and add to that Wiki page an example of how to use it.
• Graphics program – Inkscape or another program will be used to create illustrations for the Wiki.
• World Wide Web – After completing their project, students will use the World Wide Web to explore other solutions to the project and compare other student’s solutions to existing solutions.

### Software and Hardware requirements:

• A class-wide Wiki should be selected—one that can handle mathematics is preferable.
• A graphics program
• Internet access and web browser

### Skills required:

• Teacher – The teacher must be facile with the software and hardware above, including how to export images for use on the wiki and how to represent mathematics on the wiki.
• Students – Familiarity with searching and conducting research is essential, as is knowing how to evaluate Internet sources. Familiarity with graphics software is helpful.

### Reflections on the technology:

The students will eventually use the Web to evaluate methods for multiplying binomials, but they will first struggle on their own to find their own representations. The culminations of the struggle is their group page on a class Wiki, a tangible form of effort spent. The hardest part for students will probably be not using computers in the discovery phase, as they will simply want to look up an answer and consider it the right answer. Hopefully, the emphasis on comparing their solution to the solutions of other groups in the class and those found on the Internet will require them to think critically and realize that there is no one right answer. Some students might not want or need to use the graphics program, but those students who think visually should have some outlet for their creativity. An alternative for those students who like to draw is using a scanner to digitize a paper drawing.

Published in: on 2009.06.30 at 00:55  Comments (1)
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