Fall 2016 - Professor Kate Poirier

Author: Kate Poirier (Page 4 of 6)

Project #2 – GeoGebra Dynamic Worksheet – due Thursday, October 27

Due date: Thursday, October 27, 2:30pm

Individual are assigned below. You may trade topics with a classmate if you wish.

Your assignment is to include the following two items in an OpenLab post:

  1. The statement of the theorem/result that you have been assigned, written in LaTeX, in the body of the post. You may copy this statement word-for-word from the text, or paraphrase it. Either way, it must be complete and precise.
  2. A link to a GeoGebra dynamic worksheet (uploaded to GeoGebra Tube) that helps students understand the statement in your post. The dynamic worksheet should be completely self contained. Think of the worksheet as playing the following role: You are teaching a geometry course and will be absent for one class. The lesson for that day is the topic you have been assigned for this project. The substitute teacher assigned to cover your class does not have a background in geometry, so your students will have to learn the topic exclusively from your dynamic worksheet. Your worksheet must take advantage of the benefits GeoGebra has over traditional paper worksheets (for example, you can make use of the drag test).

You may also include extra details either in the body of your post or in the dynamic worksheet, if you think they will be helpful. For example, you may include hints for the proof of your statement (why is the statement true?) or you may include helpful applications. These are optional and should only be included if they help students understand the statement.

Add the category “Project #2: GeoGebra Dynamic Worksheet” to your post.

There are many resources available online for help creating dynamic worksheets. Here’s one. Read Chapter 3 of the Venema text for other helpful tips. As a sample, here is the dynamic worksheet on Ceva’s theorem that we explored in class.

Once again, your classmates will be asked to score your worksheet and offer detailed feedback. This will be similar to the rubric and feedback form for the Desmos mini-project. Details will be announced later.

Topic assignments:

  • JODEL: The theorem of Menelaus (Venema Chapter 9)
  • MEI: Simpson’s theorem (Venema 11.6)
  • MAJID: Ptolemy’s theorem (Venema 11.7)
  • JOSIEL: Napoleon’s theorem and the Napoleon point (Venema 12.1)
  • GARY: Morley’s theorem (Venema 12.6)
  • SONAM: Circumscribed circle and circumcenter (Venema 4.1)
  • EVE: Extended law of sines (Venema 4.1)
  • TYNIQUA: Angle bisector concurrence theorem (Venema 4.2)
  • LUIS: The medial triangle (Venema Exercises 5.1.1 to 5.1.4)
  • ARMANDO: Desargue’s theorem (Venema 11.2)
  • JOSUE: TBA

 

 

 

Welcome back/reminders/updates

I hope you all had a good break from your Tuesday/Thursday classes and are ready to get back to them!

My surgery last week was successful and I’m recovering well. I’m not ready to come back to campus just yet, so Professor Thiel has prepared two excellent lectures to give you this Thursday and Friday. I should be back by next week, and things can start getting back to normal.

Don’t forget that HW#8 is due tomorrow.

I still owe you instructions for your GeoGebra project…I’m not forgetting! The instructions, along with my sample project, will be posted this week and you’ll have a week or so to complete the project. (The original due date was next Tuesday, but that has changed.) Stay tuned!

 

HW #8: Due Thursday, October 13

Exercises 1-3 below are to be performed in GeoGebra. Exercises 4 and 5 are to be answered using complete sentences, including precise mathematical terminology. Email your completed homework to kpoirier@citytech.cuny.edu by 2:30pm on Thursday, October 13.

Exercises 1-3 are to be completed in GeoGebra. If you are using the desktop version of GeoGebra, attach your files to your email. If you are using the web-browser version of GeoGebra, include a link to your worksheet in the email.

Your answers for exercises 4 and 5 can be written in the body of your email, attached as a separate document, or included as text boxes in your GeoGebra file.

 

  1. Construct a triangle \bigtriangleup ABC. Construct the centroid, orthocenter, and circumcenter. Label these points G, H, and O, respectively.
  2. Put a line through two of the points constructed above. What relationship do you notice among the three points. Use the drag test to see if this relationship continues to hold. Add your conclusion as a text box in your GeoGebra worksheet.
  3. Measure the distances HG and GO. Describe the ratio $latex \frac{HG}{GO} as the triangle changes. Add this ratio as a text box in your GeoGebra worksheet.
  4. Write a clear summary of the relationships among the triangle centers that you discovered above (these relationships are the Euler Line Theorem).
  5. Does the above activity constitute a proof of the Euler Line Theorem? Why or why not?

HW #7: Article/blog post review – Due Thursday, October 6

There are lots of ways to consume information about technology in the classroom. Later in the semester, you will be reading and presenting formal research papers in the field. For this homework exercise, you’ll perform a much less formal review. Post your findings here on the OpenLab.

Instructions
  • Find an article or a blog post anywhere on the internet that discusses technology as a pedagogical tool.
  • Before you write your review, include a link to that article/post as a comment on this post to claim it as yours. Make sure none of your classmates have already chosen the same article/post.
  • Write a one- or two-paragraph summary of the article. (Write your summary so that when your classmates read it, they’ll know what the main points of the article are, and can decide whether they would like to read the article for themselves.)
  • Write a one- or two-paragraph statement expressing your opinion about the points made in the article. (You don’t have to be super precise here; you can discuss the points in the article whether you agree or disagree with them based on how they relate to your own experience.)
  • If the website where you found your article/post is not that of a well-known media organization, include one sentence about the kind of website it is. (For example, if you choose a blog post, the “About” section of the blog should tell you a bit about who the post author is.)
  • Submit your review, along with a link to your article/post as an OpenLab post. Title your post “HW #3: Review of [title of the article/post you’ve chosen].” Select the category “HW #7: Article/blog post review” before publishing your OpenLab post.
How to choose an article/blog post

You have some flexibility in terms of what you choose to review, but there are some rules you must follow:

  • Read a few different articles or blog posts before selecting one to review.
  • The article/post you choose must express an opinion about technology in the classroom, report on an academic study about technology in the classroom or discuss specific strategies for using technology as a pedagogical tool.
  • The article/post you choose should support its arguments with evidence.
  • The article/post you choose cannot simply report on a type of technology being used, or how widespread its use is. It cannot be a “how-to” guide for using a particular technology yourself.
  • The article/post you choose cannot be published by a company that is writing to promote its own product.
  • The article/post you choose should be long enough that it is insightful in some way.  Your summary/opinion should tell us why it is insightful.
  • The article/post you choose should be short enough that a fast reader could read it in under 15 minutes. (For example, you should not review a scholarly research article.)
  • If you have an article/post in mind and aren’t sure whether it is appropriate, link to it in the comments on this post and explain why you’re unsure. Leave enough time before the deadline to choose something else if I determine it’s not appropriate.
  • The article/post you choose should be written in English. If you find something that’s written in another language and that you’d really like to review, link to it in the comments on this post and explain why it appeals to you. Leave enough time before the deadline to choose something else if I determine it’s not appropriate.
Some resources

Note: some of these websites require a subscription to access articles, but will provide a selection for free to non-subscribers.

The Chronicle of Higher Education

Inside Higher Ed

New York Times Education Section

Los Angeles Times Education Setion

Washington Post Education Section

Slate

Math with Bad Drawings

dy/dan

 

 

HW #5: LaTeX scratchpad – Due Tuesday, September 27

\LaTeX (pronounced LAY-teck) is a commonly used language for typesetting math. There are many ways to use \LaTeX to create professional looking documents (most involve installing an implementation on your computer) but you can also use \LaTeX to type math right in your OpenLab posts.

Professor Reitz has some great instructions for using \LaTeX on the OpenLab here (scroll to “Typing math on the OpenLab”).

It can take some getting used to, your homework is to practice by submitting a comment on this post. Don’t worry about typing something that makes any mathematical sense, just try typing anything. Play around and make a giant mess in these comments. If something doesn’t work at first, don’t worry; just try again. (Note that your first OpenLab comment will have to be approved before it appears.)

You can mouse-over something to see what LaTeX code was. For example, mouse-over this: \frac{d}{dx} \left( \int_a^x f(t)dt \right) = F(x) to see what I entered.

If you submit something that LaTeX doesn’t understand, it will display “formula does not parse” but you can also mouse-over that to see what was submitted.

 

Other resources:

Desmos Project Feedback

I’m working on individual posts for your Desmos project feedback now. Your password for your post is your 8-digit CUNY ID (Empl) number; let me know if you have any trouble accessing your individual posts by commenting on this one. Once you access your individual post, if you’re comfortable sharing it publicly, submit a comment on it and I’ll take the password-protection off.

In your individual post, you’ll see

  • Instructor feedback (as bullet points from my notes; we discussed many of these in class yesterday)
  • Score table (12 possible points from the instructor score, 12 from the class average score, and 1 possible for submitting your OpenLab post for a possible total of 25 points)
  • Peer feedback (anonymous; includes all scores and feedback from the form the class used)

Let me know if you have any questions.

 

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