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(1) Record Keeping: Teachers have a professional responsibility to monitor, record and communicate student progress. Many schools and districts have adopted networked grading systems, and some publish grades on secure websites.

• Use a your school's gradebook program to develop a report for a real or hypothetical class of ten or more students who are assessed on five or more assignments. Submit a printout of your gradebook and the detailed report card (progress report) for an individual student. If you do not have access to such a program, you may use Gradekeeper or download a sample shareware "gradebook" program.

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I am a huge fan of this website. I began using it at the beginning of this semester and have been thrilled with its capabilities. Not only does it allow students and parents to access grades from anywhere and gives passwords for both students and parents, it provides in depth details as to what grade the student is receiving on both assignments, tests and quizzes, and projects as well as how much each assignments is affecting the students’ grade. The website is also capable of sending out emails to all the parents about updates and notifications. (2) Assessment: Teachers must regularly assess student progress. Many textbook publishers make test construction easier by providing test generators, software which allows the teacher to quickly compose tests and keys from question databases. Test generators allow the teacher to input questions, and often provide databases of questions the teacher can select from. *TPE-tip A well-structured exam may be used as an artifact for TPE3, Interpretation and Use of Assessments.

• Use a test generator to construct an exam composed of questions you have selected

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from existing question banks.

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• Software such as Examview allows teachers to develop tests and post them on the Internet. Take this short physics quiz generated with the Examview, or this geology quiz made with Quizmaker. Include a screen capture of your score (actual score is inconsequential) and discuss the benefits and problems associated with online testing.

There are several benefits to online testing. One is that students are capable of taking a test at their own leisure. In addition, testing does not take up as much time in class and that time can be used for activities that may not have been fortunate enough to fit in. The downsides to this program are that students may not be responsible enough to take the quiz on their own, and therefore may never take it! Furthermore, the quiz would not be a formal assessment because students could easily get help from parents or friends who have already completed the quiz (the answers are immediately given).

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(3) Communication: Students benefit when teachers clearly state their expectations in written form. When these expectations are availalbe on the Internet, all students and parents can benefit, particularly students who have been absent. A variety of commercial resources exist with which teachers can post calendars, homework assignments, and other important documents.

• Put your class assignments on the web at Yourhomework , SchoolNotes or similar service. Include a screen capture of your published assignment schedule.

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I think this website is great! It gives students and parents just one more option to view class assignments so that they really have no excuse for doing a homework assignment or project. I think both students and especially parents would love to have this assist them in their daily lives to pursue excellence in school and keeping up to task.

(4) Presentations: Presentation software provides teachers the opportunity to display text and graphics in a slide show fashion. PowerPoint and Keynote are two of the most popular presentation tools. Teachers and professors make extensive use of presentations, but many are concerned about the potentially negative effects such presentations can have on instruction. *TPE-tip A well developed educational presentation can serve as an artifact for TPE 4, Making Content Accessible, or TPE 10, Instructional Time, if used with presenter tools.

• After reading the articles on the educational use and abuse of presentation software, summarize how presentations should be constructed and delivered to maximize learning and minimize abuse.

Teachers need to be concerned with the fact that slides should not have more than six sentences. There should also not be more than five topics in a slideshow. The presentation needs to be well-structured and to the point so that students understand the ‘main point’. Furthermore, teachers cannot read from the slides. They need to talk about the slides instead. And when teachers are talking about what is on the slide, they need to slow down and wait for students to copy down the literature. In addition, teachers need to take breaks during the presentation and call on students to promote teacher-student interaction. Lastly, teachers should try to use pictures in order to bring out the ideas of the slides. Sound effects should be limited, but media and pictures can always really promote an effective and powerful presentation. • Locate and download one or more PowerPoint presentations relevant to your teaching needs. Include the URL of the

location from which you obtained them and summarize the PowerPoint and where in your curriculum you will use it. www.umd.umich.edu/mitten/aburke/mitten%20files/Geometry%20Jeopardy.ppt

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In order to come up with a great review game, students enjoy playing jeopardy. This website offers a great template on how to set up the game and what topics a teacher would want to put into his review game. The PowerPoint is tasteful and simple. www.worldofteaching.com/powerpoints/maths/Math%20Geometry%20Vocabulary.ppt This PowerPoint is very basic but is tasteful enough to attract students at the secondary level. The presentation provides enough pictures for good examples that students would be intrigued by the real life implications of the vocabulary. The background color is bold with a nice contrast from the written words. • Make a PowerPoint presentation to teach a lesson in your subject area, keeping in mind the principles you have

outlined above and the guidelines provided (see tutorial). Your presentation should include numerous graphics and be at least 10 slides in length. (a) Provide an electronic copy of your presentation (ppt format) on your website. (b) Embed screen captures of your presentation in the template. Make sure the content is easy to read.

I have never been one to make power point presentations for math lessons, but I think this could be a really entertaining and engaging lesson if used properly. I’m always looking to change my teaching dynamic so that students are kept interested and this is a great way of being able to do that. I think one power point presentation for each unit would work really nicely to keep students looking forward to something new.

• Using iPhoto (Mac), Picasa (Windows), or similar slide viewer software, create a photo library for your discipline.

You should include photos you have taken plus ones retreived from a graphic search engine. Create two or three

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slide shows from the library. Include a screen shot of the slide sorter window for one of your shows. Create a photopage for your website.

What a great and exciting way to keep parents and students entertained during back to school night. This will definitely inspire me to take more pictures of students working, and I’m sure a slide show would be a big hit – plus it was rather easy to make one! In addition, I could play a game with students for identifying different geometric shapes.

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(5) Digital Video

• (5) Digital Video of your Teaching Develop a video of your teaching in accordance with the requirements of PACT.

• Put your video in your TaskStream account • Burn and submit a DVD that includes your movies and other photos

(6) DVD: Develop a lesson using a computer-based DVD-player that includes bookmarks and video clips to access speficic scenes. In a college course on teaching mathematics, this DVD would be excellent in teaching about mathematical development. Students would gather notes and ideas regarding how students’ minds develop throughout childhood and how this development affects mathematical reasoning and readiness. Itentify the DVD and explain why you chose this for a lesson. The DVD is from Arlitt Instructional Media and is titled Mathematics in Early Childhood Education. The DVD is excellent in describing the best methods to teach mathematics and to what subgroups. The DVD provides excellent content knowledge and demonstrates well-coordinated teaching strategies. Include a screen capture showing your catalog of bookmarks and video clips.

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Describe how the scan fast, scan slow, step, mute, bookmark, video clip, and screen size features can be used to enhance your lesson.

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I learned a lot about how to bookmark and video clip scenes in a DVD. There have been several times that I would have enjoyed to use these features, but instead I was stuck pressing pause and play and fast forwarding through the DVD. These controls provide me with the ability to move from several portions of a DVD with much ease. Lastly using the mute feature can be excellent if I want students to act out a certain portion of the film. This allows me to monitor if students are on task or not. (7) Concept Maps: Develop a concept map with graphics and text.digital camera, etc.) for your classroom, (b) identify the next national conference for your discipline, AND (c) determine the best airfare to attend the conference. The concept map would be highly effective with a laptop at hand and calling on students to mention topics from the day’s and previous day’s lessons. This promote strong connections for the students, especially with math, as to how everything is interrelated. Perhaps by the end of the year there would be a giant concept map that showed all the connections of the year!

Fields of Mathematics

I. Quantity

A. Real Numbers

1. Complex Numbers

B. Arithmetic

C. Fermat's Last Theorem

II. Structure

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A. Sets

B. Topics

1. Abstract Algebra

III. Space

A. Geometry

1. Analytic Geometry

a. Fiber Bundles

B. Trigonometry

IV. Change

A. Natural Sciences

B. Calculus

1. Functions

a. Real Analysis

(1) Riemann Hypothesis

V. Foundations & Philosophy

A. Mathematical Logic

B. Set Theory

C. Category Theory

1. Godel's Second Incompleteness Theorem

a. Recursion theory