E X A M P L E 3.4.
Recommendation 3
(continued)
Math teachers in different grades collaborate on assessment
1. Middle school math teachers (6th, 7th, and 8th grade) meet and decide on three writing
prompts to be used during the academic year: one at the beginning of the year, one in the
middle of the year, and one at the end of the year.
2. The teachers choose the following prompt: “Please read the following math problem, solve
it, and write your answer in the blank provided. Then write an instructive essay to me [your
teacher], explaining the steps that are necessary to arriving at the correct answer.” The topics
for the problems are identified using the school’s curriculum guide.
3. The teachers agree on a rubric to evaluate the instructive essay and a scoring approach.
They also agree on a template for recording student responses. The template has a column
for students’ names and two columns for each time period (one for whether the student
achieved the correct mathematical solution and one for the final overall rubric score for the
instructive essay).
4. The teachers decide on the weeks of the year when the informal assessments will be adminis-
tered, and they carry out the assessments.
5. After each informal assessment is conducted, each math teacher scores his or her students’
writing and fills out the record template. Each teacher also computes for the class as a whole,
the percentage of students who achieved the correct solution and the average, median, stan-
dard deviation, and range for overall rubric score.
6. The teachers meet and aggregate the results across all of their students to achieve a school-
or group-level percentage of students who attained the correct solution as well as the sum-
mary statistics for the writing score.
7. At the end of the year, the math teachers compare the summary figures across the three infor-
mal assessments and analyze their own students’ progress as well as the progress of students
in the school as a whole. They use the summary information to guide a discussion of possible
changes in their instruction for the following year. (See Step 2.)
2. Analyze student writing to tailor instruction and target feedback.
Use assessment data to tailor instruction to
students’ skills and needs. Analyzing data
enables teachers to identify areas where
students need instruction, without making
assumptions about student needs. Create
lessons and choose learning objectives that
challenge students to the limits of their abil-
ity, encouraging them to develop. For exam-
ple, when assessments show students have
mastered command of subject-verb-object
sentence structure and are ready to learn to
write with more sentence variety, a teacher
could introduce participial phrases. Tailor
instruction for individual students, small
groups, classrooms, or the whole grades, as
appropriate (Figure 3.2).
If the assessments show that the whole class
needs additional instruction on a topic, teach-
ers can present the material in a different way.
For example, if a teacher modeled a skill when
introducing it to the class, she could use exem-
plar texts when re-teaching the skill. Alterna-
tively, teaching another lesson on the topic can
help reinforce the skill for students. Suppose,
in response to the prompt in Example 3.2, a
number of students began their essays, “In
the article, ‘Sometimes, the Earth Is Cruel’ by
Leonard Pitts is about the Haiti earthquake.”
In this situation, a teacher can design a mini-
lesson on how to write a TAG (title, author,
genre) statement or prepare a mini-lesson to
teach students that the subject of the sentence
cannot be in a prepositional phrase.
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