Hands-On, Brains-Off
That's not to say that classroom management and learning can't coexist, nor is it to say that most practitioners don't look to improve learning in their students. However, given the choice between a programmatic methodology or philosophy and a pedagogical one, educators seem almost always to be more attracted to the former. The environments in which they work make it nearly impossible not to have such preferences.
One such programmatic methodology—although it has pedagogical potential—is the nefarious hands-on activity, which is so beloved by elementary math teachers that entire programs can be rejected for not including it as a feature. Is it because educators see hands-on activities as vital to the academic success of students? Nope:
Patricia S. Moyer-Packenham, a researcher from George Mason University, in Fairfax, Va., interviewed and observed 10 middle-grades teachers using manipulatives to teach math. In a paper published in 2001, she noted that many of the teachers saw the classroom toys as a "fun" reward for students, rather than as a way to enhance their learning.
Most hands-on activities aren't written to help kids "move from the concrete to the abstract." They are written to keep kids firmly in the concrete, playing with fraction strips; counters; ones, tens, and hundreds blocks; etc. . . Hands-on activities are preferred because they are seen as effective classroom management tools.
Researchers found that children taught to do two-digit subtraction by the traditional written method performed just as well as children who used a commercially available set of manipulatives made up of individual blocks that could be interlocked to form units of 10.
Later on, though, the children who used the toys had trouble transferring their knowledge to paper-and-pencil representations. Mr. Uttal and his colleagues also found that the hands-on lessons took three times as long as the traditional teaching methods.
One problem is that children . . . sometimes fail to grasp the symbolic value of the objects they're using, according to a panel of experts who presented research on the topic during a national meeting of the Society for Research in Child Development held in Boston last month.
Students might correctly perform the classroom procedure, connecting 10 blocks here, for instance, or taking away blocks from another pile, without thinking about what the objects are meant to represent. Younger children, in particular, also can get lost in play with the toys or become distracted by superficial features of the toys, such as realistic details or bright colors, that have nothing to do with the academic concept being taught.
Labels: education, mathematics, research, textbooks


Comments:
Educational catalogs are filled cover to cover with colorful ways to make math more hands-on and active. Young teachers I meet
talk enthusiastically about using manipulatives with their students. A private school in my area uses a commercial math manipulative as the major selling point for
their math curriculum.
Yet, in my own classroom, I have failed to have any productive experiences with math manipulatives. In the hands of my students, they seem to be little more than fascinating building blocks. I've seen marvelous structures made of cuisenaire rods,
interlocking cubes, base ten blocks, and fraction burgers. But none of these accomplishments did anything to enhance my students' understanding of place value, basic algorithms, geometry, or equivalent fractions. It's encouraging to know there is research to back up what I've observed for years in my own classroom.
How do you think virtual manipulatives compare to their more tactile counterparts? Do you see any advantages?
You should check out the article, if you haven't already. This goes straight to what you do:
In the early 1990s, the researchers divided 223 middle school students into three groups—a textbook-only group, a group that used manipulatives in combination with paper and pencil, and a group that used the interactive software program—for a series of eight lessons.
What they found was that students using the software program and those given the hands-on objects both outscored the textbook group afterward on a test of geometric motion concepts—and at similarly high levels.
However, on a test given three weeks later, the computer-using group outperformed both of the other groups.
The researchers believe the software lessons may have been more effective in that case because they required students to be more explicit about their learning.
Instead of mindlessly rotating or taking apart a block, in other words, students had to type in commands to manipulate the shapes on their screens. What’s more, the commands required them to quantify directions by giving the precise degree of the angle or the length of side.
I was thinking about doing a blog entry on Venn diagram manipulatives I saw being sold, i.e., hoola hoops.
Seriously.
"McMath" where every Happy Math meal comes with a toy you can play with.
Thanks for an excellent article and information! It parallels some of my thoughts.
What do you think of pictures though in math books? In other words, pictures of "manipulatives" such as blocks in ten-groups, or fraction strip pictures?
Thanks, Maria.
Of course, pictures of manipulatives can be overused as well. But, in my opinion, when they are used correctly, they are much less distracting than the actual "toys."
Interesting post! I've posted some of my own thoughts as well.
What about with English Language Learners (or any language, when the student speaks something other than the language of the school as their first language)? Has any research been done to show whether manipulatives are effective tools for learning in this case? Whether they are more or less effective than for native English speakers?
Also, what about the "affective filter" for learning? If the students enjoy using the manipulatives, that should lower anxiety about math, and thus increase the students' ability to learn with it. Perhaps the problem is in the way that students are taught using manipulatives - that they are used to "keep kids busy" or as a "reward" rather than a tool for specific mathematics tasks, which students are held accountable to?
I am a first year teacher teaching 3rd and 4th grade English Learners. I've used manipulatives a lot, and they do seem to help the students to understand. I make connections almost immediately to the abstract math, which may make my lessons more effective than others, but I also return to the manipulatives when students forget the meaning of numbers (particularly with place value). Is this wrong? They are learning... I don't know if they are learning more slowly or quickly or more deeply or more "on the surface", but they are learning.
I don't know about any published research that addresses your ELL-manipulative question, and the literature I've reviewed regarding affect and learning isn't strong.
I would also caution that we don't really know how using manipulatives affects students in the long term. Sure, the spark might be there in the classroom, but what are we doing to their learning (even just subtly) over time? Of course, this is a question with any instruction.
So, I would agree (and did agree in my post) for the most part. It's how one uses the manipulatives, not whether or not one does.
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