The content for this week
was very stimulating and it sparked a lot of engagement for the entire class! Functions
is one of my favourite strands of mathematics. I love everything about this
topic, from solving equations using algebraic methods to putting these
equations on paper or graphing their them on technological software. This is
also an important and applicable skill to develop, since it can be used in the
real world in different ways. For example, equations of functions can be
plotted with each other to show their relationship with each other and their
point of intersection. One of Catherine’s questions, for instance, had us
compare the prices to buy a pizza for two restaurants. The point of
intersection of each function (based on the starting price, and the price of
each topping) is something that people could use weekly, whenever ordering
pizza! There are numerous other reasons that Functions is a crucial
mathematical topic that is used by professionals worldwide to create things for
the public to use.
I really enjoyed taking
part, as a student, in the lessons that my peers taught. I thought it was
rather insightful to learn about different and new strategies that I can use in
my own teaching in the future. I found it very creative that each of my
classmates incorporated a different method of teaching and learning for each of
their lessons. Catherine had us play “Battleships” using different functions
and equations, which made her lesson both fun and educational! This is a great
way to motivate students to learn, especially the many students who find mathematics
tedious and complex to begin with. Applying a game-design to education makes it
much more interesting and, therefore, benefits student learning of the topic. Another
station that was taught used a geometric approach to complete the square. I believe
that most people prefer a hands-on and visual approach to learning, and this
activity allows for a more visual and interactive way to complete the square. This
is especially beneficial for children and adolescents, since it gives them
another perspective on the technique of completing the square based on how it
may have originally been invented. When problem-solving, using your hands and
doing things in real-life makes it much more enjoyable and easier to visualize.
Children tend to learn through play, so it makes sense to incorporate hands-on
learning in the classroom. Geometrically putting together a square and a
rectangle, then trying to add another thing to it, allows us to make a perfect
square in a way that is more authentic than just solving an equation on a piece
of paper. Lastly, Maxim introduced me to an online program that allows teachers
to present slides to their students virtually. This resource is called Desmos,
and it is something that I will certainly use in my future teaching! I had
heard of Desmos before, but have never actually explored it at all. I was very
surprised to see just how useful and engaging Desmos was from the student’s
perspective. For anyone who has not tried Desmos before, I highly advise that
you do so!
I am excited for the
weeks to come. Specifically, I cannot wait to participate in more lesson
stations as a student to my classmates. I am also looking forward to teaching
my own lesson for a Grade 12 Data Management College level class!
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