Doabler, C. T., Cary, M., Jungjohann, K., Clarke, B., Fien, H., Baker, S., & ... Chard, D.
(2012). Enhancing Core Mathematics Instruction for Students at Risk for Mathematics
Disabilities. TEACHING Exceptional Children, 44(4), 48-57.
(2012). Enhancing Core Mathematics Instruction for Students at Risk for Mathematics
Disabilities. TEACHING Exceptional Children, 44(4), 48-57.
Students with learning disabilities
related to math have difficulties developing math proficiency, which includes
both conceptual and procedural knowledge.
A student demonstrates conceptual knowledge by relating abstract symbols
to real world representation. Procedural
knowledge relates to route memorization.
The authors advocate for Explicit and Systematic Instruction, which incorporates
unambiguous teacher models, sequenced examples, scaffolding, timely feedback,
and cumulative review. In the elementary
schools in Oregon who adopted these procedures, there was a reduced achievement
gap among students at risk for poor performance based on their mathematical disabilities, or MD.
The article points out that teachers
need to facilitate opportunities for students to communicate their mathematical
thinking in order to enhance instruction for students with MD. I have experiences in my algebra courses in
which verbalizing mathematical thinking was a key component to rebuilding our
curriculum to align to the Common Core.
I am happy to see that our district is heading in the right direction to
meet the needs of exceptional learners. The
authors also suggested that teachers use questioning appropriately. They should avoid simple “yes” or “no”
questions in order to give students the opportunity to explain their thinking.
I think the eight guidelines for incorporating
the instructional procedures were particularly strong. They reaffirmed the methods that I currently
use and gave me new ideas to incorporate in the classroom. In particular “I do it. We do it. You do it.” is a good memory device for
teachers to incorporate scaffolding in the classroom. I found it interesting that teachers should
introduce regular teen numbers like 16 and 17 before 11 and 12 because of the
irregularities in the names. I would
have never imagined learning numbers out of chronological order, but it does
bring up a valid point, especially for children with MD. A conflicting point in the article was
related to cumulative review; my previous supervisor did not advocate for
reviewing previously learned material.
He thought that it was a waste of instructional time. This could be a discrepancy between regular
education and special education teaching methods. I also find it difficult to use as much
modeling as the authors advocate. I feel
that it is easier to find manipulatives like place value charts in the elementary
grades. Many topics that we teach in the
secondary level are more abstract with fewer demonstrative models
available.
Lisa,
ReplyDeleteThis is a wonderful blog post in which you make connections with the material and your practice, highlight parts of the article that you agree with, and also critique components as well. That is exactly what we need to be doing when we read journal articles. Well-done!
I also think the "I do it, we do it, you do it" is a helpful reminder for building modeling and scaffolding into our instruction and is appropriate for use at the secondary level. The idea of cumulative review seems to be an interesting debate right now. I can see the Common Core aims to decrease the amount of repetition so that students are not repeating material. However, at some points review is important; even if not for the entire class; in a differentiated classroom this could be helpful.
Thanks for including a citation for this article. You almost have it correct! Only the first word of a title of a journal article is capitalized (along with proper nouns or words that appear after a colon). Otherwise, the title is lower case. (I know, its counter-intuitive, but that is APA!
Great first blog!
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