Shayla Case Study 2
Identification of Student Errors
In reviewing Shayla’s assignment, it is clear that she struggles with factual information when it
relates to vocabulary in word problems (Brown et al., 2016). It is clear she understands procedural steps
required in adding and subtracting fractions with like and unlike denominators as she performed well on
all skill problems. However, Shayla made errors with word problems that asks for the "difference" or
"how much more" which indicates that the fractions should be subtracted, not added. This demonstrates
the factual error described in the STAR strategy where mathematical terms are unknown. In each
problem she added the fractions where she has clearly demonstrated the proficiency of subtracting
fractions outside of word problems.
Summary of Strategies
When teaching students to solve addition and subtraction word problems with unlike
denominators and to correctly identify the necessary vocabulary, several strategies can be employed.
Firstly, ensuring students have a solid understanding of fractions and how to find a common denominator
through practice opportunities with manipulatives, visual representations, or number lines. Secondly,
focusing on building students' vocabulary to interpret word problems by explicitly teaching key
vocabulary words and using real-world examples. Another strategy is employing problem-solving
strategies such as visual representations and breaking down complex problems. Incorporating real-world
contexts and authentic problem-solving opportunities enhances engagement. Providing opportunities for
collaboration and discussion allows for the exploration of different strategies. Ongoing formative
assessment and targeted feedback support student growth by identifying misconceptions and providing
specific guidance. Overall, these strategies aim to develop a strong mathematical foundation and promote
effective problem-solving skills.
Rationale of Strategies
The rationale for using these strategies when teaching students to solve addition and subtraction
word problems with unlike denominators and identify vocabulary lies in their effectiveness in promoting
deep understanding, engagement, and real-world application; infusing culturally responsive instruction
Shayla Case Study 3
(Van de Walle et al., 2018). By ensuring students have a solid understanding of fractions and how to find
common denominators, they are equipped with the necessary mathematical foundation to solve problems
involving fractions with unlike denominators. This foundational knowledge is essential for building
confidence and readiness to tackle more complex word problems.
Teaching key vocabulary words explicitly and connecting them to specific operations helps
students accurately interpret and understand word problems. By making these connections explicit,
students can navigate the language of the problem more effectively and choose appropriate mathematical
strategies to solve them correctly. It empowers students to recognize important cues and make informed
decisions when selecting the right operation and executing the problem-solving process.
Incorporating visual representations and problem-solving strategies like creating diagrams or
using manipulatives provides students with alternative ways to approach and understand word problems.
These strategies promote deeper understanding, as students can visualize the relationships between
quantities and see how fractions with unlike denominators interact. Visual representations also support the
understanding of the problem's context and aid in making connections between language and
mathematical operations (Van de Walle et al., 2018).
Integrating real-world contexts and authentic problem-solving opportunities helps students see
the relevance of the mathematical concepts they are learning (Van de Walle et al., 2018). By presenting
word problems that relate to their daily lives or interests, students can connect their mathematical
knowledge to real-life situations. This connection enhances motivation and engagement, as students
understand how mathematics is applicable and meaningful outside of the classroom.
Promoting collaboration and discussion among students allows for the exploration of multiple
strategies and perspectives. Through peer-to-peer interaction, students can learn from one another,
exchange ideas, and deepen their understanding of problem-solving approaches. Peer discussions also
enhance critical thinking skills and provide opportunities for students to explain their thinking and
reasoning, further solidifying their understanding of both fractions and vocabulary in word problems.
Shayla Case Study 4
Ongoing formative assessment and targeted feedback enable teachers to monitor students'
progress and provide individualized support. By identifying misconceptions or gaps in understanding,
teachers can intervene in a timely manner and provide specific feedback and guidance. This personalized
support helps students build on their strengths and address areas where they may be struggling, ultimately
leading to improved problem-solving abilities.
Overall, these strategies are grounded in research-based practices that promote active
engagement, deep understanding, relevance, and individualized support. By implementing these
strategies, teachers can create a rich learning environment that empowers students to confidently solve
addition and subtraction word problems with unlike denominators and accurately identify and utilize
vocabulary to successfully solve them.
Shayla Case Study 5
References
Brown, J., Skow, K., & the IRIS Center. (2016). Mathematics: Identifying and addressing student errors.
Retrieved from https://iris.peabody.vanderbilt.edu/wp
content/uploads/pdf_case_studies/ics_matherr.pdf
Van de Walle, J. A., Bay-Williams, J. M., Lovin, L. H., & Karp, K.S. (2018).CTeaching
student-centered mathematics: DevelopmentallyCappropriate instruction for grades 6-8(3rd ed.).
Pearson.
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