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7/30/2019 RLR501 Beers Strategy
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Fiona Connaghan
RLR501-Beers Assignment
November 14, 2012
Planning:
Last week, I began a new unit in math with my 8th graders. This new unit has
students studying exponential relationships and patterns; and learning how these
relationships can be illustrated and demonstrated in graphs, tables and equations.
Right from the get go, I realized that my students were struggling with this new
concept. Earlier in the year, the students studied linear relationships. Much like this
exponential unit, we spent time mastering linear patterns in tables, graphs and
equations. When we started the exponential unit, students kept going back to what
they knew about linear relationships. It was difficult to get students to recognize an
exponential relationship from a linear one. One of the key characteristics of an
exponential relationship that sets it apart from a linear one, is that instead of there
being a constant rate of change (or number being added or subtracted from the lastterm in order to get the next term) there is a constant growth factor instead (or
number being multiplied to the last term in order to get the next term). We spent
about two days practicing growth factor and differentiating exponential patterns
from linear ones.
This class is my lower level 8th grade math section, so they require a slower
pace and a more scaffolded learning experience. Since the students were struggling
with this new concept, I decided a K-W-L would be appropriate. This Beers strategy
fit in perfectly for this lesson because we were moving away from simply
recognizing exponential patterns in tables into beginning to write equations to
describe exponential relationships. I wanted to make sure that students were
capable of verbalizing what we already learned about exponential relationshipsbefore moving on to something new. I also wanted a window into their minds to see
what they were still wondering or struggling with when it came to exponential
relationships. A K-W-L was a great strategy from Beers I got to use to help me
accomplish both goals. It also gave me the opportunity to assess what new
understandings about exponential equations they would have gained at the end of
my lesson (The learned portion of the K-W-L).Additionally, one of the key purposes of a K-W-L, according to Beers, is the
vitality of connecting what we already know to what we want to know. I know that
this is absolutely key to moving my students through this unit. Recognizing
exponential growth and having the ability to determine growth factor is key to
students being successful in writing exponential equations (which was the nextchapter in the unit). I wanted to be sure that students had a keen understanding of
the basic characteristics of exponential patterns before moving on to using this
knowledge in the construction of exponential equations. Knowing the support these
students needed in their mathematical studies, realizing the amount of struggle they
already faced with exponential patterns, and recognizing the need to connect what
we already learned to what we are about to learn were all factors in leading me to
utilizing the K-W-L strategy for this class on this particular topic. Although it was a
7/30/2019 RLR501 Beers Strategy
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little bit of an untraditional use of the strategy since it was used in the middle of
instruction instead of at the beginning of instruction, I still think it was appropriate
as it served to assist and support my students as they were moving through the unit.
Implementing & Analyzing
Since we have very strict time constraints with our math classes (only 55
minute blocks), I decided to have the class complete the K-W-L as part of their Do
Now. On a sheet of paper students recorded what they already knew about
exponential relationships as well as what they wanted to know or wanted more
practice with. Students were allowed extra time for this Do Now since it required a
bit of more writing on their part. When we came back together, students shared out
what they had written down. After having reviewed my video, I realize that there
were a few things I think went well, but also quite a few things that could have been
improved.
I could tell students were happy to share out what they already knew about
exponential relationships. It was also very exciting to see students eager to shareout about what they were still wondering. This shows me that they want to
understand what were studying in class. It also provides me with feedback on whatI should plan to review with students. For example, one student said he wanted to
understand more about whether or not there is a constant rate of change in
exponential relationships. Although it is not captured on video, during independent
work, I went straight to this student to help clear up his confusion. By this time,
students should have been recognizing that there is not a constant rate of change in
exponential relationships, so I wanted to help him see this before he tackled the next
chapter.
Something that I feel didnt go well was the portion of time when students
were supposed to be sharing out what they already knew about exponentialrelationships. I did WAY too much talking during that period of time, when the
students should have been doing the majority of talking. One of the reasons I think
that is, is because I was fearful students would have nothing to share out. So I felt
like I needed to prompt them to the right answers. Students were able to respond
appropriately to all my prompts, but I wish I had let them come up with all the facts
for the K column on their own. I also wish I had provided more time for them to
complete the L column of their K-W-L. Although I did not capture that portion of the
K-W-L on camera, I had students complete it as an exit ticket. Unfortunately, we
were rushing to get ready to transition to the next class. So the data I received back
on what students had learned that day on exponential relationships may have been
skewed.Overall, the K-W-L really helped me to not only assess how my students were
doing with the new concepts being studied in class, but it also helped to prepare
them for what was coming. It helped to activate their brains and get them prepared
to jump back into exponential relationships. After having used the K-W-L this time, I
can really see how it can benefit both me and my students. I think I need a little
more practice utilizing this strategy though, because I definitely feel I made some
mistakes this time around. I look forward to trying it again though!
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Implications
After having spent the time planning, recording and analyzing the K-W-L
strategy, I truly can see the benefits of utilizing such a tool in my classroom. I will be
honest, I was a little skeptical at first about completing this project in a middle
school math classroom. I did not think it would have much benefit for my studentsor myself. I would even go as far to say that I thought it would be a waste of
instructional time. After reviewing my video however, I honestly can say that I was
completely wrong. Although you cant really see it on the video, students wereexcited to work on this. Nearly all my students copied down the notes I took up on
the document camera, and even after I took it off I had three separate students ask
me if they could see my notes so that they could finish copying it down. I was also
pleasantly surprised to see students wanting to share with me wonderings they still
had about exponential relationships. It really provided me with some great feedback
about my own instruction and what my next steps should be. I really do look
forward to using this strategy again and next time with improvements.
Some things I will do differently next time around are provide more time fordiscussion of the K-W-L instead of rushing through it. I would also like to have
students verbally share out what theyve written in the L column of their paper,
instead of just collecting it as an exit ticket. I will also provide less structure during
the share-out phase of the K-W-L. Students need to come up with Know part on
their own, with no help from me, otherwise I cant really assess what students trulyknow versus what I helped them share out.
This strategy was great for this group of students, who need that more
scaffolded approach. As Beers says in his text, the K-W-L is a framework that helps
students access their knowledge on a specific topic before moving forward with
reading or learning more about said topic. There are plenty of instances in math
where this approach would be appropriate to help students connect what theyalready know about a mathematical concept to what they are about to learn. We are
constantly revisiting topics in math and expanding our knowledge on that topic
(fractions are a great example). I know that this strategy, when I peg down how to
utilize it properly, will really help my students master many of the new things we
learn in class.