The paths to "Eureka" moments: Teaching Mathematics in Secondary Education

Archive for the ‘H5’ Category

H5- Honor student potential for roles in the greater society

H5- Honor student potential for roles in the greater society

Teacher-candidates prepare students to be responsible citizens for an environmentally sustainable, globally interconnected, and diverse society.

This means that teachers should teach in such a way so as to guide students to be responsible people in diverse society. In the math classroom, this includes thinking critically so as to solve real-world problems (such as environmental sustainability).

As a math teacher, there has been numerous times in which my classes have engaged in problem-solving exercises and activities. As a warm up before starting a unit on algebraic functions, I used a youtube video about the Enigma Machine. This machine was used in World War II to encode and decode messages by the Germans. The video, along with explaining the mathematics surrounding the machine, provided historical background and global facts surrounding the machine and its uses. The clip also explained how different countries had attempted to crack the code so as to intercept messages.

Four-rotor German Enigma cypher machine, 1939-1945.

This short film allowed students to think of mathematical topics as globally interconnected- a universal language. Following the films, students worked collaboratively to solve coded problems (functions with inputs and outputs) and determine the code (function rule). In working collaboratively, diverse students gained insight from multiple perspectives and were encouraged in their mutual respect for the skills of others (responsible citizenship).

Through using the video as inspiration and encouraging group work, I learned the power of collaboration among students and effective ways of motivating student learning. In the future, I would like to use this video as an inspiration for students to write more about what they learned and express their understanding in written reflection.

Service Learning Project

One of the requirements in my Introduction to Education class was to participate in a service learning project. My own experience took place at Coe Elementary School in a 3rd grade classroom. I was an aid to the teacher once a week for a total of 21 hours.


Below is a paper written describing how this experience has changed my understanding of the four pillars: Service, Leadership, Competency, and Character.

Service Learning Paper: Where I Was and Where I Am Going

As I reflect upon my time spent at Coe Elementary during my service learning hours, I am able to compare my initial understanding of how service, leadership, competence, and character, are seen in the classroom, to my previous understanding.

On the first day of Intro to Education, I wrote the following four definitions as they apply in the classroom setting. First, service is observed in a classroom when the teacher understands that teaching is not about his/herself, but about the student. A service minded teacher will make sacrifices for the students to promote better learning. Secondly, leadership is demonstrated when the teacher leads the class both instructionally and as an example. A leader recognizes the skills of those who follow him/her, and seeks to enhance those skills. Thirdly, a teacher seeks to promote competence – the ability to understand the subject matter. This involves problem solving and not simply memory recall. Fourth and finally, a teacher develops character in the classroom. Responsibility, integrity, and creativity are all elements important to education.

After having spent eight weeks in a third grade classroom, my views have become enhanced by the experiences I have had and the interactions I have observed.

As a teacher, service not only takes place inside the classroom, but in the community and among educational faculty. This can take the form of anything from an after school program like refereeing a student football game, to spending hours at night working on prepping for an in-class Mother’s Day project. A leader in the classroom knows the abilities of the students. A leader is able to multi-task, teaching new information to the entire class, but also providing individual feedback to students, asking them questions and challenging them at a personal level.

A competent teacher not only knows the subject matter to be taught, but knows it well enough to teach excellently. In order to ensure competence, a good teacher will continue their own education. This may be pursued by working to get a higher degree or through attending educational conferences and classes. Teachers must also promote competence within their classrooms. One way I observed this being accomplished in the third grade classroom was through peer discussions. Students explained to their neighbors what they had learned and their partners either added to or disagreed with what the first student had said. In this way, students were getting immediate feedback as well as demonstrating their understanding of the topic. Finally, character should be demonstrated by the teacher and encouraged within the student body. Teachers can be the example in character, by teaching “to the student”, not the test, and having organized lessons for efficient time management. Teachers can also encourage moral character within the student body through classroom policies and school-wide programs. Respect is one characteristic that must be shown to students in order for them to follow the rest. When teachers have the respect of their students, other important traits such as integrity, trust, and responsibility will follow.

As I conclude my volunteering at Coe Elementary, I plan to continue learning and growing in the four areas of service, leadership, competence, and character. In service, I will grow as I serve as the Sports Ministry Coordinator for Youth Missions International. Through Y.M.I. I will have the opportunity to work at sports camps, coaching elementary and middle school children. While the academic quarter continues, I will seek to serve my peers and colleagues here at S.P.U, striving to live a service-minded lifestyle on and off campus. As a staff leader with Y.M.I, I am constantly being challenged to grow in leadership skills. One particular challenge is how to assign volunteer leaders to the different camps in the Northwest. As the coordinator, I must assess the abilities and gifts of the volunteers and place them where they will work best. I will continue to grow in competence as I finish out my mathematics major and secondary education program here at S.P.U., but my education will not stop here. After I have graduated with my B.A, I will continue to learn about my field and how to be a better teacher. This will most likely take the form of a Masters degree. As a Christian, my education of character is never complete here on earth. As I continue in these last few years at SPU, and look forward to my career as a teacher, I will mold my character after the Greatest Teacher.