### General Information

Student: Office: Andre Luiz Lucas Mendes CoRE 434 St. John's University, New York - NY Goiano Federal Institute, Urutai - GO - Brazil andre.lucas13@stjohns.edu Produce Lesson Plans Using Polynomiography

### Project Description

Develop lesson plans using polynomiography in order to make math class more interesting.

### Weekly Log

Before the REU:
When I was in Brazil (as a Math/Education major), I taught in high schools and elementary schools as an math auxiliary teacher. My goal was to develop math games involving math contents (or with multidisciplinarity) and lesson plans in which the professor could apply these games in class. The results were above the expected. The students loved this different approach and this made me love teaching with different methodologies. Participate in a research is part of the scholarship that I have here in U.S.. Due to this, I applied to DIMACS (almost too late) and then was when I met Dr. Fiorini and Dr. Kalantari. Professor Kalantari has similar ideas that I have: Education can and will change the world, but, to achieve this, educators must have innovative ideas and techniques of teaching. Professor Kalantari showed me his studies in the past years: Polynomiography. Since I saw polynomiography, I imagine the potential of this tool in a classroom. In this way and after know what I used to do in Brazil, Professor Kalantari suggested that I could develop lesson plans using polynomiography. After that, he sent me his book and articles where I could learn more about the underlying math in polynomiography. I read them and then I came to DIMACS to start develop the lesson plans and learn more about math/research environment.
Week 1:
I read articles about polynomiography, and putted together ideas of how one can use polynomiography in order to enhance the interest and motivate students on different education levels. Polynomiohraphy is the visualization of the roots of a polynomial using an iteration method. More information about it can be found at: http://www.polynomiography.com/
Week 2:
I started to type my project and develop the lesson plans using polynomiography. I am developing three different plans, each one for can be used for a different grade level. With the help of my advisor, I am developing the lesson plans using different approaches.
Week 3:
After a meeting where we discuss about the project I spent the week reading lesson plans, articles about education and typing the article for this project. To make the lesson plans correct, I need to learn how the education system in United States works. Besides that I need researched about what contents are taught in each grade level. I need that in order to make plausible lesson plans. Many ideas were discussed between me and Dr. Kalantari. By now the remaining part is put the ideas together.
Week 4:
After learn more about the education system in United States, I started to put ideas together for the lesson plans. Since I am typing an article, it is not only the lesson plans that I need to do, then, this week, I made the abstract, introduction, one of the lesson plans, and I organized the structure of all the topics that will be discussed in the article. Dr. Kalantari is giving talks in Korea, and during that we are communicating by email.
Week 5:
This week I finished the second lesson plan and started work in the last one. I am also creating a basic tutorial to use the Polynomiography software because it will be useful for the professors in class. While I am doing that, I am learning more about polynomiography and finding new ideas about how to apply it in class. My mentor is back next week and by that time I will have finished and then we can start revise and refine the article.
Week 6:
This I week I finished the lesson plans using polynomiography. I started to review with the help of my mentor and make the corrections. We finished reviewing the article and I made contacts at St. Johns University and IF Goiano - UrutaĆ­ about publishing it.
Week 7:
I worked in my presentation and I spent time polishing the article. Here are some references of articles that I used:
Week 8:
Since I decided to translate the article to portuguese, on this week I started to work on this translation and I made contact with professors in Brazil about: Making a workshop using polynomiography when I go back to Brazil; Publish the portuguese version of the article.
Week 9:
This week I worked on my final report.