New Year: Time to Reflect on 2018
Block One Reflection
Hello and welcome back to my Blog for 2019!
I haven't blogged for awhile as I was a student teacher for the first time. My first teaching
practicum as a Teacher Candidate was an outstanding experience filled with a
tremendous amount of learning and professional growth. At the beginning of
placement I had the choice to either teach Grade 12 or 11 university functions
or grade 9 applied math, I chose the grade 9 class. At first I was extremely
intimidated to teach an applied mathematics class, however, I am glad that I
had the opportunity to challenge myself. Applied classes are stereotyped to as
a “nightmare” to teach, but I had the chance to test a variety of classroom management
techniques and was exposed to learning styles and teaching methods that are
different then the way I learned growing up in an academic classroom setting.
Additionally, I was able to build a positive and professional relationship with
students, my associate teacher and other staff, and begin to develop my own
resources that I can use later in my career in both an academic or applied
grade 9 mathematics classroom.
Throughout this
placement, I used many resources from class and implemented them as many ways
as I could, for example using vertical surfaces, the idea of low floor and high
ceiling and incorporating technology. During my unit, I used graphing calculators
attached to a motion sensor to consolidate the understanding of distance versus
time graphs as the students were able to match the shape of the graph with
their movement. The whole entire class was involved and excited about this
topic, using the technology available allowed for a greater success in their
understanding and having a visual representation they can use with their body
movement was advantageous because the students were able to transpose this difficult
concept using paper and pen for a quiz, test or assignment. This was my first
time using a graphing calculator with a motion sensor to teach distance versus
time graphs. Our teaching for mathematics education course, used motion sensor
attached to a graphing calculator and familiarized me with the tool. I believe
it was extremely beneficial because when I was in grade 9 I struggled with this
topic greatly, and I wish I had this technology available when I was a student.
Therefore, the technology has also helped consolidate my understanding and will
be able to teach this concept from the linear relations stand in the Ontario
curriculum with ease.
Another way that I incorporated
technology was teaching with a Microsoft surface pro tablet. Some days I would
start the lesson of with an entrance card and give the class an EQAO word
problem to solve individually, they would not write their names on it, I would
then collect all of the entrance cards and look at them briefly and snap a
photo of one on the tablet I was using to teach. I would then have the students
work projected onto the screen. I would use this technique to show the most
common “wrong answer.” I would then ask the class “what do I like, what do I
not like in this answer.” And show the class how I would mark this type of
question and all the steps needed in order to get full marks. Using the tablet
allowed this process to be a seamless transition and the students were very
engaged with my ability to write over their work on the screen with a tablet
pen. This process also allowed for immediate feedback to occur with all of the students,
and the students were able to see what is expected and how to answer an EQAO
question effectively once or twice a week, alongside answering multiple choice
questions daily. Additionally, using the Microsoft surface pro to teach has
allowed for smooth transitions between my 3-part lesson plan without the use of
papers as I would have PDF versions of my lessons which I was able to write on
using a tablet pen, allowing for each copy and pasting, erasing, and zooming in
and out. The tablet also allowed me to use excel to show graphs with ease and
the ability to label the graph on the tablet screen was beneficial for
increasing the students understanding. The students also had a copy of a “fill
in the blank” worksheet as at the applied level they needed this assistance to
be successful in learning and consolidating the topics being taught.
Lastly, I often used relay races in my classroom to get the students up and
moving using vertical surfaces around the class, including either whiteboards
or chart paper taped to the walls around the classroom. I taught an applied
class 4th period and I believe that movement can wake up a child’s
brain, it reduces fidgeting and other distracting behaviours that come from
asking a child to sit all day, and it is a way to work through difficult math
problems as well. I would do a classroom relay race for 75% of the class on
Fridays and the students loved the activity and had to compete with one another.
I also found the use of vertical surfaces to be beneficial, as using the
whiteboard encouraged motivation and the ability to think on their feet.
Throughout my
placement, I also strongly encouraged the process of reflection. Therefore,
instead of constantly giving the students questions about knowledge and
understanding, I would give the students reflection questions that encourage
students to think back on the mathematics of the lesson and focus on the big
ideas, which we know to be an important orientation for their achievement
(Boaler, 2016). For example, what was the main idea you learned today? and what
is something you are struggling with or have questions about? This was also a
way for me to integrate assessment AS learning to try and encourage meta cognition.
I also would have
liked to spend more time asking how my associate teacher taught certain
concepts such as algebra and the terminology he used, so I can use his methods
that are familiar to students to decrease confusion within a lesson. For
example, one thing I struggled with was adjusting my own math knowledge,
language and my lack of visual representations of basic mathematical concepts. I
found at times there was a disconnection between my students and I due to my
academic math knowledge, and I found myself using language like “y-intercept,
slope, isolate for x and move the negative sign to the other side” leading to
students losing confidence in their own abilities or disengaging from the
lesson entirely. Once this occurred, it was very difficult to get the class
back on track and continue with the lesson.
In conclusion, I
believe my first teaching block was a wonderful experience and I appreciate all
of the daily feedback my associate teacher offered. One technique I used to
create a constructive and motivated learning environment was to establish a
positive rapport with students. I established this relationship by asking about
their hobbies, favorite musician or how their weekend went, allowing the
students to feel comfortable and creating a positive classroom environment. As
I prepare for Block Two, I would like to improve on a better balance of
student- and teacher-directed learning. I would also like to create more
engaging and interactive lessons and assignments for my future placement focusing
on real-world applications. Lastly, become more knowledgeable about how
students learn before preparing lessons. Overall, I am grateful I had the
opportunity to teach in an applied class. Teaching in an applied class gave me
a variety of different instructional methods, assessment and classroom
management techniques which I know I will use in the future career.
Thank you for reading my Blog Post- see you next week

References
Boaler, J. (2016). Mathematical mindsets.
San Francisco, CA: Jossey-Bass & Pfeiffer Imprints.
Image banner and final image retrieved from: https://lifelong.digication.com/AACU_Generative_Reflections_2011/Welcome/published and
https://www.xavier.edu/mathematics-department/
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