Math
In education, scaffolding describes supports provided to students to assist them in meeting a learning goal. What does scaffolding have to do with supporting students who struggle? One way to provide differentiation for each and every student is to offer scaffolding that students need at the appropriate time. When you provide scaffolding “just in case” students need it rather than “just in time”—i.e., when studentsdemonstratethe need—you are shortchanging the learning process and failing to provide the rigor that today’s standards demand. Here’s why.
Just-in-case scaffolding—providing hints and supports to all students even when they have not demonstrated the need for it—creates issues of both accessandequity. When you provide scaffolding to students before they have the opportunity to make sense of a challenging task on their own—without the extra help—they are inhibited from developing productive perseverance (sometimes referred to asproductive struggle). All too often, so much support is provided through the initial scaffolding that the cognitive demand of the task is significantly decreased (Boston & Wilhelm, 2015). If this sort of scaffolding is provided up front for students who struggle, then these same students are denied access to cognitively demanding tasks. When access is denied, equity becomes an issue.
Differentiating With Equity: Timing and Degree Are Key
So how do we provide differentiation that is equitable? We can still deliver differentiated instruction through appropriate scaffolding. The key is to provide the scaffolding just in time rather than just in case students need it. Just-in-time scaffolding helps to develop productive perseverance by allowing students to engage in demanding tasks on their own and then assisting them in maintaining the engagement when they struggle by using teacher questioning as the means of support.
Consider a class of students in Grade 7 who are tasked with solving the following problem:
Alex used up all of the money she had saved from her lawn care job to buy a skateboard. She then borrowed $17 from her mother to go to the movies with her friends. After she went to the movies she bought a soccer ball for $15. She borrowed that money from her mother as well. Alex keeps track of her money in her notebook. What should she write in her notebook to indicate her balance now? Explain your reasoning.
What are your thoughts as you read the problem? Are you thinking that the wording might be confusing for your readers who struggle? Are you thinking about issues students often have when computing with integers? Those are all legitimate thoughts. It is what we do in response to those thoughts that either supports or inhibits students’ achievement. It is all about the scaffolding.
Often, when I observe teachers using tasks like this with learners who struggle, I see scaffolding in the form of teachers unpacking the word problems to the point that the task becomes a simple exercise. It might sound something like this:
Teacher: Would the $17 be positive or negative?
Students: Negative.
Teacher: What about the $15?
Students: Negative.
Teacher: What do we do when we add negative numbers?
The cognitive demand of the task is greatly diminished by this “scaffolding.”
The students are no longer left to make sense of the context and determine the operation to be performed. The teacher is providing supports for students in anticipation of a struggle. This is what we mean by just-in-case scaffolding.
In contrast, imagine a classroom where the teacher provides space for students to do the sense making. It might sound something like this:
Teacher (after reading the problem to the students): Class, spend 2 minutes thinking about this problem and then share your ideas with your partner.
(Teacher waits 2 minutes before circulating the room to listen to discussions of students as they work in small groups)
Student (addressing teacher): We don’t know how to solve it.
Teacher: What is the problem asking?
Student: What Alex should write in her notebook to show how much money she has.
Teacher: What do you know?
Student: We know that she spent all her money and then borrowed money from her mom.
Teacher: Now work with your partner to see how you might represent the money she borrowed. (Teacher walks away).
What you probably notice is that the teacher provides processing time for students to do the sense making. When students indicate a struggle, the teacher provides just enough information so that students can re-engage with the task without lowering the cognitive demand of the task (Boston, Candela, & Dixon, 2019). Which classroom image most closely represents the opportunities you or the teachers you support are affording students? How would you describe your classroom?
The shifts in practice I suggest have the goal of ensuring that the students are doing the sense making and the teacher is supporting them to meet the learning goal through the task that is chosen and the questions that are used to support the implementation of that task. We can transition our unproductive practices to be productive by keeping the learning goal and student engagement at the foreground of our planning and by critically analyzing our instructional decisions and structures.
The views expressed in this article are those of the author and do not necessarily represent those of HMH.
***
Dr. Juli Dixon is an author of HMH’s next-generation mathematics program,Into Math.Follow her on Twitter here:@thestrokeofluck.This blog, originally published in 2018, was updated in November 2020.
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