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Error Analysis
Error Analysis Case Study Assignment (Wyatt and Dalton)
EDUC 323
Prof. Tencher
September 20, 2025
Dalton: Level A, Case 1
I decided to start by looking into Dalton's situation. Dalton is Twelve-year-old and is a
seventh-grader. His math teacher is Mrs. Moreno but she is worried with how he has been
doing. Mrs. Moreno thinks Dalton has great mathematical abilities and he typically performs
well in her math class. However, since he began learning how to multiply decimals, Dalton has
started to perform poorly in the course. Since Dalton has been doing poorly on his homework,
Mrs. Moreno has grown worried about him. She decides to perform an error analysis to identify
the kind of mistake Dalton is making after looking over his most recent homework assignment.
A procedural error is the one that is clearly visible in Dalton's case study. An error
resulting from improper performance steps is referred to as a procedural error. Confusion about
Error Analysis
how to correctly set up the problem while working with decimals is probably the root cause of
this error. Dalton aligns the final digits to set up the equation as though there were no decimal.
Dalton needs to align the decimals, not the final digits, in order to correctly set up this equation.
The solution will probably be wrong if the decimals are not aligned when answering the
problem. If two students were told to round to the closest ten, and one of them rounded up
while the other rounded down, it would also be an example of a procedural error. Another
example of this would be if a student was adding fractions and added the numerators and
denominators together instead of identifying a common denominator.
It is clear that Dalton was simply not connecting the decimals and the digits he was
getting after each equation. Other than getting a couple questions correct, his initial numbers
were correct but his decimals were off on every question. After doing some research, I came
across this website that I would implement if I were to be teaching seventh grade math. “A
number line is another way to model multiplying a whole number times a decimal. The decimal
factor will be the length of the jump and the number of jumps is the whole number. This is great
for smaller numbers. I found that students who liked this method felt more comfortable
because they were able to add up the numbers as they went – a small scaffold if you will (Brack,
2024). I think that she has great ideas when it comes to teaching decimals, this could positively
help students in the long run by implanting this into the lesson. Error pattern identification is
one way that I may include to deal with this error pattern. The goal of this approach is to
provide a chance to fix Dalton's mistakes. Dalton will have the opportunity to learn while being
properly corrected when the mistake is discussed with him. “My final tip is to have students
practice using graph paper (you can just print graph paper) to keep their work more organized.
My final final tip is to use X as a placeholder instead of 0 because that zero causes frequent
errors!” (Brack, 2024). This is another great way to help students especially Dalton who may not
just be grasping it as easily as others.
Wyatt: Level C, Case 1
Error Analysis
Wyatt, also a twelve-year-old boy is struggling to understand how to multiply fractions as
well. His teacher Mr. Goldberg went over this lesson again for students who were quite not
grasping it, in particular, Wyatt seemed to be having a lot of trouble. Wyatt appears to be having
trouble changing the denominator while multiplying fractions, which is a procedural issue,
based on his work. In decimal form, this is nearly exactly what Dalton was having trouble with.
Wyatt has trouble multiplying the denominators throughout his assignment. Rather, he retains
the denominator if the denominators are same.
In this case, Mr. Goldberg could solve an equation involving the multiplication of two
fractions with distinct denominators so that Wyatt could compare the stages of the
multiplication to the equation with like denominators. Once you have solved the equation
together, let Wyatt solve a few by himself. To check if Wyatt is understanding the concept of
multiplying fractions, Mr. Goldberg could next demonstrate to him how to multiply fractions
with the same denominators and compare the processes with what they use when solving
fractions with similar and different denominators. Finding the mistake patterns would be the
best course of action to assist Wyatt. This could assist him in identifying the mistakes he had
made while attempting to address particular challenges. Wyatt appears to be confusing the
procedures for adding and subtracting fractions with those for multiplying them. Wyatt would
gain by employing this tactic since he would be able to identify his errors and know how to fix
them.
Using physical objects can make all the difference too, sometimes physically seeing
things and being able to pick them up and move them around can help in the long run. “Another
benefit of using pattern blocks is that, when we get ready to talk about a whole number divided
by a fraction, kids will already be familiar with the process and will actually be able to see how
multiplication and division of fractions goes together. Its like the fact families of addition and
subtraction and how, when we teach the missing addend we see that addition and subtraction
go hand in hand” (McCartney). I would definitely love to implement hands on lessons in order
Error Analysis
for students to grasp the work they are completing. Although some students just need to use
pencil and paper, other students need different visuals in order to understand how things are
done, by giving them this option can be beneficial whether they believe it or not. “We always
want to start with concrete because it gives students whats called an imprint for them to refer
back to later.
That imprint could be you modeling under a document camera or my demo on a YouTube video.
It could be remembering how they built it with a partner in class. Regardless of how they get it,
they now have a memory of what it was that we were talking about” (McCartney). I also like
how the author stressed how important it was to leave an “imprint” when teaching students
some difficult work!
Overall, it was interesting and informative to go over and understand Dalton's and
Wyatt's mathematic challenges. Finding the best methods to aid these students has sparked my
interest in being as encouraging and helpful as possible. Not every student can pick up each
subject as easily as others, by providing that extra help or method can make all the difference. I
think that it is so much more beneficial to look at an Error Analysis than ones lesson plans or
how students complete their work correctly and instead we are looking to help these students
as best as possible!
Error Analysis
Works Cited
Brack, T. (2024, March 4). 6 strategies for multiplying decimals. Maneuvering the
Middle. https://www.maneuveringthemiddle.com/6-strategies-for-multiplying-decimals/
McCartney, S. (2025, April 8). Working with fractions: Multiplying fractions. SIS For
Teachers. https://sis4teachers.org/2020/03/working-with-fractions-multiplying-fractions/
Walle, J.A.V. D., Karp, K. S., & Bay-Williams, J. M. (2022). Elementary and Middle
School Mathematics: Teaching Developmentally (11th ed.). Pearson Education (US).
https://libertyonline.vitalsource.com/books/9780136818465
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