kitchen table math, the sequel: constructivist beliefs amongst teachers

Saturday, May 12, 2007

constructivist beliefs amongst teachers

Vignettes describing contrasting instructional styles

Ms. Hill was leading her class in an animated way, asking questions that the students could answer quickly; based on the reading they had done the day before. After this review, Ms. Hill taught the class new material, again using simple questions to keep students attentive and listening to what she said.

and:

Mr. Jones’ class was also having a discussion, but many of the questions came from the students themselves. Though Mr. Jones could clarify students’ questions and suggest where the students could find relevant information, he couldn’t really answer most of the questions himself.

Overall, more teachers felt comfortable with (64%) and thought students preferred (53%) the traditional style of Ms. Hill, with fewer selecting Mr. Jones. (The middle or “undecided” position was chosen by many teachers as well; see Table 1.) Moving quickly over content may pose fewer problems for teachers and students and therefore seem easier. However, in terms of the consequences for students, teachers were more likely to believe that Mr. Jones’ approach was better. Concerning students gaining more knowledge from Hill or Jones, teachers were evenly split — with more than 40% favoring each approach. Concerning the acquisition of useful skills many more teachers favored Mr. Jones' approach (57% favoring Jones, 29% favoring Hill).

source:
Constructivist-Compatible Beliefs and Practices among U.S. Teachers
(pdf file)

I find it extraordinary that anyone would find Mr. Hill's "instructional style" acceptable in any way.

It's not the issue of who's asking the questions. It's good for students to ask questions. Obviously.

It's the fact that Mr. Hill is presented as not knowing the answers.

How can this possibly be a good thing in a teacher?

And how can a person who doesn't know the answers to student questions do much in the way of clarifying the questions beyond cleaning up simple errors in logic?

The edu-world really is a parallel universe.


there's more

constructivist perspective:
“I mainly see my role as a facilitator. I try to provide opportunities and resources for my students to discover or construct concepts for themselves."

traditional transmission perspective:
"That's all nice, but students really won't learn the subject unless you go over the material in a structured way. It's my job to explain, to show students how to do the work, and to assign specific practice.

and

constructivist perspective:
"It is a good idea to have all sorts of activities going on in the classroom. Some students might produce a scene from a play they read. Others might create a miniature version of the set. It's hard to get the logistics right, but the successes are so much more important than the failures."

traditional transmission perspective:
"It's more practical to give the whole class the same assignment, one that has clear directions, and one that can be done in short intervals that match students' attention spans and the daily class schedule."

and

constructivist perspective:
"The most important part of instruction is that it encourage “sense-making” or thinking among students. Content is secondary."

traditional transmission perspective:
The most important part of instruction is the content of the curriculum. That content is the community’s judgment about what children need to be able to know and do."

and

constructivist perspective:
"It is critical for students to become interested in doing academic work—interest and effort are more important than the particular subject-matter they are working on."

traditional transmission perspective:
"While student motivation is certainly useful, it should not drive what students study. It is more important that students learn the history, science, math and language skills in their textbooks."


Overall, teachers are substantially more constructivist than traditional in their responses to each of these items. Twice as many teachers agreed that there should be multiple project-oriented activities going on as favored short-duration whole-class assignments instead. Even more teachers believed that their instructional planning should focus on constructing meaning and on student interest than on coverage of curriculum and textbook content (by margins of 2.5 to 1 and 3 to 1 respectively; see Table 2).


students muddling around

This is my favorite:

A huge majority of teachers (85%) rejected the idea that because teachers know more than students, they “shouldn’t let students muddle around when they can just explain the answers directly.” Even more teachers (91%) rejected the idea that student projects aren’t useful because they “often result in students learning all sorts of wrong ‘knowledge.’” More than three-fifths of the teachers (62%) rejected the idea that “instruction should be built around problems with clear, correct answers, and around ideas that most students can grasp quickly”—a clear statement of rejection of the principles of direct instruction formulated two decades ago and around which most traditional instruction is based.


So.... I'm thinking value-added assessment is going to come as a shock to these folks.

Wonder just how much "academic growth" you see in one year of muddling around and students learning the wrong knowledge via projects?

10 comments:

Barry Garelick said...

Both direct transmission of information and "student-directed" questions involve the construction of knowledge, it's just that the first method is much more reliable and efficient. I.e., both fit into the constructivist theory of learning. That's the part that educationists refuse to get right. (See again, Mayer (2004) ).

Exo said...

I agree with Barry.
Lectures can be "construction" of knowledge, too!

Anonymous said...

I find it extraordinary that anyone would find Mr. Hill's "instructional style" acceptable in any way.

Wait, we have "Ms. Hill" and "Mr. Jones". It was Mr. Jones that couldn't answer the questions. Or am I reading that wrong?

Ms. Hill appears to be assessing whether the children read and understood their reading assignment. Something I appreciate as a parent.

A good chunk of Mr. Jones' class is going to be doodling and staring out of the window, no doubt making plans to look up all of that "relevant information" when they get out of class.

Catherine Johnson said...

Actually, the "construction" of knowledge meme requires some de-construction.

I just read .... oh gosh. Title, please. I think I sent it to Barry. It's a critique of constructivism that says we absorb plenty of knowledge without doing lots of "construction."

Having read this report, and having read the latest communique from Central Administration, I am now taking a hard line.

Students have a right to receive direct instruction from knowledgeable teachers.

Students have a right to ask questions and have questions answered.

Catherine Johnson said...

Wait'll you guys see the latest.

Unbelievable.

I won't be posting it until the latest skirmish plays itself out.

Instructivist said...

"Both direct transmission of information and "student-directed" questions involve the construction of knowledge, it's just that the first method is much more reliable and efficient. I.e., both fit into the constructivist theory of learning. That's the part that educationists refuse to get right. (See again, Mayer (2004) )."

I still don't understand and probably never will what this "construction of knowledge" is supposed to be. I need to see examples of successful construction (if there is such a thing) drawn from various disciplines and described in great
detail to get a handle on this.

Suppose I want to know something about Tang and Song China or the Mongol conquest. What should I do? Start "constructing" and pull knowledge out of a hat or should I perhaps read a book?

Perhaps I should be "constructing" while reading a book, but the impression I get from educationists is that this "construction" takes place magically without having to bother to read a book.

A clarification would be helpful before I lose my mind.

Barry Garelick said...

"A clarification would be helpful before I lose my mind."

I'm assuming Mayer and others are using pscyhological jargon. According to Anderson, Reder and Simon (1998) "Within the field of cognitive psychology there is general agreement that people learn when new information is interpreted via schemas that have developed through prior knowledge and experience." Anderson et al go on to call this process "knowledge construction".

In Mayer's paper he says pretty much the same thing:

"A basic premise in constructivism is that meaningful learning occurs when the learner strives to make sense of the presented material
by selecting relevant incoming information, organizing it
into a coherent structure, and integrating it with other
organized knowledge (Mayer, 2003). It follows that instructional
methods that foster these processes will be more
successful in promoting meaningful learning than instructional
methods that do not."

I think what both are saying is that meaningful learning occurs when the information/knowledge reaches long-term memory.

So if you have the "schemas" developed through prior knowledge and experience, as Anderson says, you can read a book about the Mongol conquest and get the information and knowledge into long term memory.

When would you not have the schemas? Imagine a first year algebra student attempting to learn calculus by reading a first year calculus text. Some more experience is necessary before he/she can make sense of the information in the book.

From Mayer:

"Although constructivism takes many
forms (Phillips, 1998), an underlying premise is that learning
is an active process in which learners are active sense
makers who seek to build coherent and organized knowledge.

I start this article with the premise that there is merit
in the constructivist vision of learning as knowledge construction
(Bransford, Brown, & Cocking, 1999; Bruer,1993; Lambert & McCombs, 1998; Mayer, 2003)." (emphasis added)

He clarifies this later by saying: "Activity may help promote meaningful learning, but
instead of behavioral activity per se (e.g., hands-on activity,
discussion, and free exploration), the kind of activity that
really promotes meaningful learning is cognitive activity
(e.g., selecting, organizing, and integrating knowledge).
Instead of depending solely on learning by doing or learning
by discussion, the most genuine approach to constructivist
learning is learning by thinking. Methods that rely on
doing or discussing should be judged not on how much
doing or discussing is involved but rather on the degree to
which they promote appropriate cognitive processing."

Instructivist says: The impression I get from educationists is that this "construction" takes place magically without having to bother to read a book.

Yes, some say that. Others say things even more ridiculous than that. Some view the absorption of facts from reading a book as "passive", and thus is "rote" learning. Mayer and Anderson are saying that's nonsense. Mayer is saying you need to learn by "thinking" which you can do by reading, or listening to a lecture, or doing hands-on activity.

Catherine Johnson said...

I'll pull the passage from Fox that is quite nice in terms of what Instructivist says.

When you really think about it, it's not "obvious" that knowledge is "constructed".... or that knowledge is always constructed.

Instructivist said...

What Mayer says is plausible. What educationists make out of it is absurd.

I pulled a few quotes on the topic:

http://www.funderstanding.com/constructivism.cfm

How Constructivism Impacts Learning
Curriculum--Constructivism calls for the elimination of a standardized curriculum. Instead, it promotes using curricula customized to the students' prior knowledge. Also, it emphasizes hands-on problem solving.


http://mathforum.org/mathed/constructivism.html
What is Constructivism?

"Students need to construct their own understanding of each mathematical concept, so that the primary role of teaching is not to lecture, explain, or otherwise attempt to 'transfer' mathematical knowledge, but to create situations for students that will foster their making the necessary mental constructions.


http://www.thirteen.org/edonline/concept2class/constructivism/index.html

(traditional)
Strict adherence to fixed curriculum is highly valued.

(constructivist)
Pursuit of student questions and interests is valued.

Why students can't ask questions with a set curriculum beats me.

SteveH said...

I've discovered many things during direct instruction. Actually, it's a very efficient way to do so.