Chapter 14 page 327
Table 14.3:
Rubric for scoring math problem solutions
Dimension Score of 0 Score of 1 Score of 2
Represent
the problem
There is no problem
representation
There is a problem
representation, but it is
wrong or it is not explained
clearly.
There is a problem
representation that is
explained clearly.
Showing
each step in
the solution
The step-by-step solution is
not shown.
The step-by-step solution is
shown, but some steps are
missing or not explained
clearly.
Each step in the solution is
shown, and the steps are
shown clearly.
Calculating
accurately
Two or more calculations
are inaccurate
Most calculations are
accurate, but one is
inaccurate.
All calculations are
accurate.
Checking
solution
There is no check to see
whether the solution makes
sense.
There is a check on whether
the answer makes sense, but
the check is not clearly
explained.
There is a clearly explained
check on whether the
answer makes sense.
Another way to present criteria to students is through rubrics, which we learned about in Chapter
- A rubric shows the different dimensions along which performance is judged. When students achieve at
the highest level in each dimension, they have met the standards for that dimension. Rubrics can be highly
effective at promoting student learning (Hafner & Hafner, 2003; M. Wilson & Sloane, 2000). Table 14.3
shows a rubric that a math teacher could present to students to help them understand how to write out
solutions to their math problems. The teacher then uses the rubric to score students’ written solutions to
math problems (and students could use the rubric to score their own and each others’ written work on math
problems). Students have met the criterion represented by each dimension if they achieve a score of 2 on
that dimension.
Problem 14.6. Designing instruction. Developing rubrics.
Imagine a class that you could be teaching in the future (elementary, secondary social studies,
mathematics, etc.). Then decide a genre of writing that your students might be doing (e.g., writing
stories, writing poems, writing informational essays, writing lab reports, writing explanations of how
they solved a math problem). Develop a rubric that you and your students could use to evaluate their
planning for writing in the genre you have chosen.
Response: There are of course many possible answers to this question. Your response should include a
consideration of the different aspects of planning discussed in Chapter 7. You will also want to tailor
the rubric to the age of the students and to the genre.
Feedback. A direct form of scaffolding is feedback. As we have discussed in previous chapters,
effective feedback provides students with specific information about what they are doing well, so that they
continue doing it, and what they should try to improve. Teachers can scaffold the use of cognitive strategies
by directing their specific feedback at the quality of students’ strategy use. The teacher can specify what is
strong and weak about the student’s strategy use so that the student can improve performance the next
time. Suppose that a class is working on the strategy of summarization. A teacher could respond to a
student’s work on summarization by writing, “You are doing well excluding all the unimportant details
from your summaries. Sometimes you are omitting some important points, however. In this summary, you
didn’t mention the civil rights movement, even though 3 of the 8 paragraphs you are summarizing are
talking about the civil rights movement.” Teachers can also give specific feedback in this manner when they