In my 1st grade classroom, the students are
currently working on mastering their knowledge and skills with completing
“simple” addition problems.
Throughout the year they have been learning these problems and are now
being assigned worksheets and pages in their math book with that are filled
with addition problems that need to be solved. In the photo, Sarah, has
discovered a way to help her solve the problems quicker and with more ease.
To complete this page in their math journals, the
students were simply required to answer the addition problems accurately. Though
this may seem simple, the students are 1st graders who are still at
the beginner level and struggle with completing their assignments
accurately. Though this is true,
Sarah, a quiet student who never appeared to be proficient in math, has
discovered a new way to complete her assignment. In the picture, it is clear that Sarah has drawn a large
arrow from one addition problem (9+8) to another problem across the page (8+9).
While most of the students found it hard to remember their addition facts,
Sarah found that finding what the class calls “turnaround facts” made it very
easy to quickly solve her math problems.
I was very surprised by Sarah displaying this in
her math because she is generally so quiet with while working on math and is
usually requesting help with her assignments. The fact that she was able to recognize that she could
quickly solve and finish this assignment by finding “turnaround facts” was very
pleasing. I was also glad because
this was ultimately the mathematical objective of the lesson. Students were to use this page in their
math journal as heavy practice and repetition of what they have been learning
all year.
If I were to encourage Sarah to move their thinking
forward, I would have her try to tell me the answers to problems without
drawing arrows from one “turnaround fact” to another. If she were to do this, it would be clear that she truly did
understand the math facts that she was completing instead of just memorizing
the numbers.
A good analysis; it seems like you are focusing more on the "process goals" or "affective goals", i.e., attitudes towards problem solving. This is something that is good to be attuned to. Also make sure, though that you apply your content knowledge of math (for example, the strategies or progressions as discussed in the CGI book) to make sense of what the student is doing and why.
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