Monday, December 9, 2013

Introduction

September 19, 2013

Greetings,

The last few years, I have learned a concept that singer-songwriter, Phil Collins, presents about teaching: “In learning you will teach, and in teaching you will learn.”  Being a student at the University of Montana and seeking a degree in Secondary Education for Mathematics and French, I have realized that my joy and passion lies in encouraging students to learn by modeling and facilitating learning experiences.

I have had the chance to be in teaching roles in mathematics throughout my college years by tutoring high school and college students, by being a teacher’s assistant through grading papers, and by being a learning assistant for college courses. Thanks to these experiences, I have gained knowledge and experience on how to teach mathematical subjects, prepare lesson plans, create activities, effectively score levels of students, and create a safe and comfortable learning environment.  I am grateful for the amazing examples of teachers that I have worked with but I am looking forward to learning more skills of teaching such as classroom management, creating learning units, building student-teacher-parent relationships, communicating with other teachers, and many other teaching skills that are learned through the student teaching experience.


Sincerely,

Mariah Smith

For all information that is posted on this blog (portfolio) in a document format, Click Here.

Sunday, December 8, 2013

Original Essay on Admission

Click Here to view my original essay on admission to the School of Education at the University of Montana in pdf form.

Saturday, December 7, 2013

Classroom Management Plan

Mariah Smith
This classroom management plan is written for a math classroom in a high school of grades 9-12.

Psychosocial dimension of classroom management
         The psychosocial dimension refers to the psychological and social environment of the classroom. A primary focus in this dimension is the classroom climate.
         A strategy that I will use to reassure students that they are valued in the class is give each student an opportunity to pick a problem from the homework that he or she felt did well on and write it on the board for the class to see. This will give the student of sense of belonging in the classroom and be able to display the effort put into homework to the classroom. A strategy that I will use to help the psychosocial dimension in group work is called Q. This Q refers to the closeness of the relationships between people in a group i.e. a high Q would have students in a group who are very close friends and know each other very well and a low Q would have students in a group who are strangers to each other. The ideal Q to have in a group is medium Q. Also, it is good to have people who have different interests in a group, which helps creativity in a group. To facilitate this in a classroom, I will ask the students to fill out an optional information sheet at the beginning of the year that asks about the students interests, past school experience in math, and short/long term goals. This will give me an opportunity to place students in a medium Q of a group.
         To have effective communication between students, parents, and myself, I will have a brief, non-formal monthly report of each student that talks about how the student is doing in the classroom when it comes to content and social aspects. This is when I will convey my concerns and praises of the student in a very non-intruding way. This report will be given to the student and the student’s parents/guardians. I will encourage the parents to contact me with any questions or concerns with reference to the report or anything else that may arise.

Procedural dimension of classroom management
         The procedural dimension refers to the procedures and rules that are used in the classroom’s operation. It is important to know the school’s general procedures for students and to present these general procedures to the students from day one of the school year. The classroom will have more detailed and applicable procedures to the classroom and here are a few of them.
         At the beginning of class everyday, every student will have their homework pulled out for me to check. To check homework I will do one of the following each day: ask students to turn-in by passing the homework to the first person in each column, walk around the class to each individual and just check one or two problems on the homework, walk around the class and check the homework by completion, or decide not to check the homework that day. During this procedure I will have another procedure that has a different student each day write up the solution to any homework problem that they desire on the whiteboard. After the student does this, I will walk the classroom through the problem, which helps review what was done the day before. To finish each class period, I will ask the students to grab a personal whiteboard and pen five minutes before class ends. Then I will write up a fairly easy problem on the board that will reflect the concept learned that day. Then the students will answer the question on the whiteboards and after every student answers the question correctly, I will pose another question. We will do this activity until the classroom time is up.
         To teach the procedure of the end of each class, I will tell the students on day one of the year that we will be doing this activity every day. Then for the next two weeks, I will prompt the students at the five-minute mark to go get the whiteboards and give them the problem and have them work on it. Then after the first few weeks, ideally the students won’t have to be reminded to go get the whiteboards and will act on their own.

Physical dimension of classroom management
         The physical dimension contains of the physical layout of the classroom and how the teachers can manipulate it to create good conditions for teaching.
         The desk arrangement of the classroom will look like a typical classroom. I will have my desk in the front corner of the class with the wall whiteboards right behind my desk. Along the walls right below the ceiling, there will be posters that show different properties and formulas found in math that is relevant to the student’s math course. The student’s desks will be in columns. Beside the door, there will be some shelves that will hold the individual whiteboards and dry erase markers. Along the side of the classroom there will be about ten to fifteen computers that have various math programs and that will be used to have an alternative-learning environment. In front of the room there will be a smartboard that every student will be able to see. This technology will be used in daily in instruction and gives an interactive sense to a lecture because the students can visually see me working on a math problem. There will also be a projector from my teacher computer to use different math programs such as GeoGebra to help prove various Geometry and Algebra related problems.
         Accommodations that could be used for students with exceptionalities are different AT devices such as a computer, recording devices, and paraprofessionals. There will be an easily accessible computer that the student can move to for activities if needed. After creating an IEP for students with exceptionalities, my classroom will provide what is needed for the student.

Behavioral dimension of classroom management
         The behavioral dimension refers on how to decrease undesired behaviors and increase desired behaviors and how to maintain this over a longer period of time.
         I would like the classroom rules to be formulated by the class in the first few days of school. This will give ownership to the students, which will ideally make students follow the rules that they created. With this said, I do want to remind the students in the first few days of school of the rules that the school has for all students such as absence and tardy policies. Two rules that will absolutely have to be on the list of classroom rules are to not talk while someone else is talking and encourage people daily in class.
         The following are two potential examples of specific student inappropriate behaviors that can occur in the classroom and how the behavior will be dealt with. Anne is a student who is very enthusiastic towards math and loves to answers my questions. She has difficulty on waiting patiently for me to call on her to answer a question and jumps up and down in her seat until I call on her. To manage this inappropriate behavior I will use the extinction method by ignoring her and calling on students who are patiently sitting in their seat. When she does wait patiently for me to call on her, I will call on her and give her positive reinforcement by thanking her for sitting still. Greg is a student who has never really liked math in the past and gave up on doing anything extra outside of the classroom. Even though Greg never does his homework or studies, he seems to understand the concepts while going over them in class. To manage this behavior, I will sit down with Greg outside of class and make a contingency contract with him that will say that he will do his homework and if he doesn’t he will spend lunch time in the classroom to finish his homework. This gives him an incentive to do his homework.

Instructional dimension of classroom management
         The instructional dimension refers to how to schedule, transition, group, create lesson plans, and use technology.
         My teaching philosophy is to bring as much real world application into the math class and to use technology to help this real world application. The reason why I have this philosophy is because math is not seen as necessary for all students. This is not true because in all parts of life one can use math to help them succeed and gains very important problem solving skills from math classes. To help with this philosophy, the use of open-ended questions versus closed questions is very important.
         Learned material will be represented in multiple ways in my classroom. I will use an overhead to write up lecture notes while verbally explaining the material for students to see and hear what they are learning. Some days I will ask the students to prepare for the next lecture and for them to do that they can read from their math book, watch a video on Khan Academy, or discuss the topic with parents and/or friends. This gives the students options to participate in the preparation for a lesson. Quite often in the classroom students will be given worksheets to engage the learned information. I will give the option for students to work in groups of two or to work alone on these worksheets. Instead of doing a worksheet, a student can decide to go to the in-classroom computers and by following given instructions, discover the recently learned information through a math program. For students to express knowledge in multiple ways they can do a homework assignment given to them or they can come in to class during lunch or after school to make a video of working out two homework problems that I have chosen using the smartboard recording abilities. This gives the students to express their knowledge in a more traditional way or by using technology.

Organizational dimension of classroom management
         The organizational dimensions refers to that having success is linked to time management in personnel interactions, the work environment, administrative duties, instructional applications, and personnel applications.
         A strategy that I will use to create an appropriate work environment and good-working relationships with other teachers and faculty is I will sit in on another class once a week and ask for another teacher to sit in on one of my classes. The intentions of this strategy is to be able to see how each other are teaching and by doing this, we will be able to support and encourage each other in our teaching in a more tangible way. I hope that this will lead to some instructional feedback and being able to help each other with some solutions to problems in a classroom. Another strategy to help create an appropriate work environment is that if I ever have a student that goes to the Principal’s or counselor's office, I will follow up with the Principal or counselor to see if I can help in any way. This will show that I’m not interested on dumping a student on them but that I know it’s a group effort to help a student.
         I hope to have good relations with the other math teachers that are in the school. I would like to create a system with them with regards to grading papers. I know that grading papers can take a lot of time (I have graded papers for a professor) and that it can take away from our personal lives. I want to have an open relationship with the other math teachers that if one of us are going through a particularly busy week, that another one of us can take over their grading for the week. This will show that we are a team at the school even though we may be teaching different levels of math or different aged students.

Addressing behaviors that are challenging
         I plan to use Response to Intervention (RTI) in my classroom by having a pyramid type of learning. The thought is to start with a base overall teaching to students in the classroom setting. Then after this there may be about 20% of students that will need extra help that I will give to them in the classroom by helping during out the group work activity time. This will help the students but then there might be 5% of students who are still struggling and that is when I will individually work with the students. To help me see if all students are on somewhat same page on the material I will use Curriculum-Based Measurement (CBM). I will give small tests that have basic topics that we are learning and then the data given to me by the CBM will let me know if we can move on to the next topic or if we need to go back. The Functional Behavior Assessment (FBA) is helpful in putting a undesired behavior and the actions to monitor this behavior into words. I will use this with students who are having more of habitual undesired behaviors and then the goal is to come up with some strategies. This is where Positive Behavior Intervention and Supports (PBIS) come to play. I will come up with some desired behavior for the student and then find ways for the behavior to be achieved, which can be done by using a checklist for the student, contingency contract, or other ways.

         I hope I am able to use most of these strategies in the classroom but I know that they may change as I figure out what works best for me as a teacher and what works best for my students.

Click Here to view this classroom management plan in an accessible word document. 





Article Bibliography
Knuth, E., & Peressini, D. (January 2001). Unpacking the Nature of Discourse in Mathematics Classrooms. Mathematics Teaching in the Middle School: Vol 6, No.5.
Lehrer, J. (January 30, 2012). Group Think. The New Yorker: The brainstorming myth.
Lemov, D. (2010). Teach Like a Champion:49 Techniques That Put Students on the Path to College. San Francisco, CA: Jossey-Bass.
Smith, T. E. C., Polloway, E. A., Patton, J. R., & Dowdy, C. A. (2004). Teaching Students with Special Needs in Inclusive Settings. Boston, MA: Pearson.
Turnbull, A., Turnbull, R., & Wehmeyer, M. L. (2010). Exceptional Lives: Special Education in Today’s Schools. Upper Saddle River, NJ: Pearson.

Washington University in St. Louis. (2009). Increasing Student Participation. The Teaching Center.

Friday, December 6, 2013

Interdisciplinary Lesson Plan


It is very important to know how to teach math in all subject areas and not just in the math class. Being able to relate mathematics to real life situations is a major part of learning for students and we can do this by teaching interdisciplinary lessons. I have prepared a lesson that teaches students about plate tectonics and hot spots and at the same time learning how to successfully convert measurements. Not only does this lesson include the content of mathematics and geology but French is also introduced in this lesson by helping student memorize root words.

To view the lesson plan in an accessible word document, Click Here. The lesson plan is called Speed of Plate Tectonics.