from Christopher Wooden, Ammerman Chair of Mathematics, Landmark School, MA.
Breaking Down Math
Excelling at math, or just even being able to pass the requirements, draws on many different skills and ways of thinking—it calls on conceptual, logical, and spatial reasoning, but it also often requires neatness, exactness, and computational skills. There are many areas in which to shine in mathematics, but unfortunately, there are also many areas in which to struggle. These tasks change over time, demanding increased refinement or elaboration of skill sets, or the addition of new ones as a student progresses through school. Woodin encourages teachers to treat math problems with the same kind of thoughtful and targeted strategies that are applied to reading instruction.
In the classroom, we break down the complex processing tasks of reading and spelling into various subskills that can be tested and analyzed. As a result, students’ strengths and weaknesses may be acknowledged and an effective course of action can be planned and implemented. Math skills, however, are not routinely evaluated in this manner. Math is usually assessed in terms of achievement: a student’s ability to perform a set of increasingly sophisticated computations or word problems. Resulting scores define students as being “good, average, or bad” at math. The problem with these labels is that, much like reading and writing, math is made up of subskills, and it may be that a deficiency in just one of these subskills makes the student “bad” at math. A student who is a poor speller or has bad handwriting wouldn’t necessarily be considered a poor writer. Specific weaknesses are not defined within the context of math, therefore specific therapies are not prescribed to treat them. In the math sphere, the “bad” math student who has been defined in very general terms is usually afforded an equally general course of remediation, and a repetition of previously introduced material ensues, or perhaps an enhanced sensory diet of “slower and louder” is dispensed.
The Relationship Between Math and Language Struggles
We often define dyslexia as an “unexpected difficulty in reading”; however, a dyslexic student may also have difficulty with math facts although they are often able to understand and do higher level math quite well. The specific skills that an educational evaluation measures to determine where language glitches, both written and verbal, occur can also be helpful in predicting where math breakdowns might occur. Using this knowledge, we can also develop strategies to address an individual student’s struggles in math.
Math-specific skills, including the ability to recognize and relate quantities, should also be assessed and factored into the production of an effective program for students whose atypical learning profiles suggest the need for special attention.
Why and how should teachers use what they know about language remediation to address math problems?
Mutlistep tasks can be difficult for students who have trouble organizing, naming, or sequencing; however, experience has shown that these students can be helped by using instructional methods that forge meaning and context through physically organizing objects, naming the action, and writing the process down.
Students’ learning styles must be acknowledged through the development of strategies that compensate for their individual difficulties. Woodin has found that using activities that involve visualizing, walking, and talking out problems are effective in developing vocabulary, organizational skills, and oral and written output.
Overview: Importance of Integrating Visual and Language Systems
Like reading, math involves many cognitive processes or systems. Ideally, teachers should diagnose and treat math breakdowns with the same specificity and strategies they apply to language-based instruction. When math remediation is most effective and efficient, it employs the same best practices that are used to address reading struggles. We know that using hand motions when teaching songs or poems may be helpful since it provides cues and context clues that reinforce learning of the content. Likewise, the best math instruction utilizes student strengths to mitigate weaknesses, and uses context and the integration of multisensory techniques to help the student create meaning and improve memory.