Building a Sound Macroscopic Theory of Matter and Deeper Epistemological
Understandings of Science Among Elementary & Middle School Students
Carol L. Smith
University of Massachusetts at Boston
My colleagues and I have been investigating what it takes to help middle school
students build a sound macroscopic theory of matter in which the concepts
of mass, volume, and density are clearly distinguished and inter-related.
We have also been investigating the classroom conditions that may foster elementary
school students' greater understanding of how knowledge is created and justified
in science.
Within each area, our research has had a two-pronged focus. First, we have
tried to provide rich descriptions of students' starting conceptions
and the ways they may be organized in commonsense theories that are at odds
with the theories that students will be expected to learn at school. One of
the things that makes the science curriculum so challenging is that it needs
to help students engage in a process of fundamental conceptual change or restructuring,
not simple conceptual elaboration. Understanding the nature and organization
of student initial ideas is an important first step to planning effective
science curricula that will promote conceptual change.
Second, we have carried out numerous teaching studies that compare the effectiveness
of different curricular approaches in bringing about conceptual change. In
this way, we have been trying to understand the underlying mechanisms
of conceptual change (e.g., the role of processes such as analogical
mapping, model building, and thought experiments) and the classroom conditions
that may support such changes.
Because I do not have time now to prepare a special paper for this conference,
I have chosen to share excerpts from two previously published papers. For
each article, I have included (a) the abstract, (b) excerpts that describe
the target conceptions to be taught, the organization of student initial conceptions
and the conceptual changes that need to be made in the given area, and (c)
excerpts that describe some of my thinking on what it takes to enable students
to make these conceptual changes.
I. Building a Sound Macroscopic Theory of Matter in the Middle School Years
Excerpts from:
Smith, C., Maclin, D., Grosslight, L., & Davis, H. (1997) Teaching for
Understanding: A Study of Students' Preinstruction Theories of Matter and
a Comparison of the Effectiveness of Two Approaches to Teaching about Matter
and Density". Cognition and Instruction, 15(3), 317-393. Copyright ©
1997, Lawrence Erlbaum Associates, Inc.
A. Abstract (pp. 317-318): Thirty 8th-grade students
were given an interview and a written test before and after a 10-week curriculum
unit concerning matter, mass, volume, and density. The instruments probed
qualitative understandings of matter; ability to differentiate weight and
density using qualitative reasoning; formal quantitative understandings of
mass, weight, volume, and density; and ability to integrate both qualitative
and quantitative reasoning about density. In part 1 of the study, we examined
the organization of student ideas prior to instruction. We found evidence
to support our idea that students' qualitative conceptions of matter and density
were organized in commonsense theories of matter that constrained their understanding
of density: Students who believed that all material objects have weight, no
matter how small or light the object, were much more likely to have made a
beginning differentiation between weight and density than those who did not.
We also showed that a qualitative understanding of density emerged prior to
a formal, quantitative understanding of density, although most students were
able to engage in explicit proportional reasoning about another, more familiar
quantity (i.e., sweetness). In Part 2, we compared the effectiveness of two
teaching approaches. One approach to teaching about matter and density—the
standard Introductory Physical Sciences (IPS) curriculum—emphasized
formal definitions, measurement, and explicit quantitative reasoning. Because
it asked students to work formally with complex concepts before assuring the
relevant qualitative understanding was in place, we designed a modified IPS
curriculum that addressed this problem by encouraging students to make their
initial assumptions about matter explicit and open to debate. The modified
curriculum also used visual models and qualitative reasoning to help students
bridge the gap between their starting conceptions and formal, quantitative
definitions. We found that both curricula were effective in promoting a good
quantitative understanding of mass, volume, and density. The modified curriculum,
however, was more effective at restructuring students' qualitative conceptions
and at promoting an integrated understanding of density. Thus, we conclude
that science curricula should integrate both qualitative and quantitative
reasoning to be effective at promoting conceptual change.
B. Excerpt from the Introduction that describes some important aspects
of the target conceptions to be taught (pp.318-320):
There is increasing interest in the science education community in "teaching
for understanding" (Clement, in press; Perkins, Schwartz, West, & Wiske,
1995). But what is involved in scientific understanding? How can it be developed?
Clement (in press) argued that three important hallmarks of scientific understanding
are the abilities to: (a) decide when it is appropriate to apply a scientific
principle, (b) solve problems quickly on the basis of insightful, often qualitative
reasoning, and (c) transfer knowledge flexibly to new situations. To study
the reasoning processes experts use for understanding new situations, he asked
expert scientists to think aloud as they reasoned about challenging, novel
problems. His analyses revealed an extensive "hidden world" of non-formal
reasoning processes used by experts. These processes included analogical reasoning,
mental model construction, spatial reasoning using dynamic visual imagery,
reasoning using kinesthetic intuitions and hand motions, and reasoning based
on consideration of extreme cases or imagined thought experiments (gedankenexperiments).
Clement (1989, in press) argued these non-formal processes help experts figure
out which principles apply in new situations and generally ground, or give
meaning to, more abstract mathematical formulations of ideas and theories.
Similarly, Nercessian (1993) described the rich and productive interplay between
nonformal imagistic reasoning and more formalized mathematical reasoning in
her historical case study of the development of Maxwell's ideas about electromagnetism.
Clement's (1989, in press) and Nercessian's (1993) rich analyses of expert
competence have important implications for approaches to science instruction.
If experts flexibly apply both formal and non-formal reasoning strategies
to develop good understandings of novel problems, it follows that good science
instruction should help students to develop skill at both kinds of reasoning.
Yet, traditional approaches to science instruction at the middle school level
or later typically aim to help students to develop only the more formal kinds
of reasoning. The bulk of this kind of curriculum content and teaching consists
of explicit and formal definitions for concepts, equations, formulas, and
practice in how to apply these formulas in certain stereotyped problem situations.
Students are seldom encouraged to reason qualitatively about conceptual relations
starting from their own commonsense ideas, to construct qualitative models
of phenomena, or to refine their own intuitions about the physical world.
This study first examined the extent to which students entered the classroom
with qualitative, physical intuitions about matter, weight, and density that
were at odds with the formal concepts that comprise their science curriculum.
It also examined the extent to which these intuitions were organized in commonsense
theories of matter. It then explored the impact of two forms of instruction
on the development of student concepts of matter and on their ability to differentiate
the concepts of weight and density. Scientific concepts like density have
important formal and non-formal components. We believe that a robust understanding
of density calls for the integration of these formal and nonformal components
and that effective science teaching needs to provide opportunities for the
practice and integration of both forms of understanding.
Formally, density is defined in the middle school science curriculum as a ratio
quantity (the mass to volume ratio) or as a per quantity (the mass
per unit volume) that is a characteristic property of different materials
(i.e., a property that can be used to distinguish one material from another).
This characteristic property cannot be directly perceived, but can be determined
by calculation by first explicitly measuring the mass and volume of a given
object and then dividing the mass by the volume.
Nonformally, the concept of density is grounded in qualitative physical intuitions
developed from interaction with everyday materials. For example, solid objects
can be the same size but different weights (e.g., a block of wood and a block
of steel) and very small objects can be much heavier than larger ones. If
one notices that these objects are made of different kinds of materials, one
can infer that some objects are made of "heavier kinds of materials" than
others. A number of qualitative rules then allow one to make inferences about
this characteristic of materials; for example: (a) If two objects have the
same size but different weights, the heavier object is made of a heavier kind
of material; (b) if two objects have the same weight but different sizes,
the smaller object is made of a heavier kind of material; and (c) if two objects
are made of the same material, they have the same density because equal-sized
pieces would have the same weight. Finally, one can use everyday experiences
with packing (i.e., with how close together or far apart items are) to begin
to explain this characteristic of materials (e.g., by imaging that objects
vary in how much material is packed into a given space).
We believe that good science education needs to recognize the existence and
importance of both formal and informal sources of understanding and to encourage
students to develop supporting physical intuitions for more formal concepts.
Clearly, an intuitive concept of density is, by itself, limited. Mathematical
tools allow for quantifying the mass and volume of objects and for assigning
a numeric value to the density differences of materials. In this way, they
extend the range and precision of inferences that can be made about this physical
magnitude. Furthermore, this greater precision can be used for discovering
new patterns in data and for engaging in the iterative process of generating,
testing, revising and transforming models. It is possible, for example, to
move beyond an initial qualitative model of density based solely on the idea
of differential packing of homogeneous matter to a model that builds on atomistic
frameworks. Such models can be used to explore the relative importance of
packing versus differing atomic weights as explanations of density differences
among materials.
A formal concept of density, however, unsupported by physical intuition, qualitative
reasoning, and visual models is also limited. Non-formal notions guide students
in making appropriate inferences in those situations where precise measurement
is not possible, give them a quick way of checking the reasonableness of more
formal calculations, and as Clement (1989, in press) argued support scientific
inventiveness by permiting the building and testing of rough qualitative models
of new phenomena and situations.
C. Excerpt that describes student initial conceptions as organized in
a commonsense matter theory (Commonsense Matter Theory 1) and contrasts this
theory with a more sophisticated commonsense theory that some students have
developed (Commonsense Matter Theory 2). The latter view is closer to the
target macroscopic theory of matter that is taught in middle school (pp. 322-324):
Commonsense Matter Theory 1 has its own coherence and integrity, with students'
conceptions of matter supporting their combination of the properties of heavy
and heavy-for size into one undifferentiated weight-density concept
(also known as conflating weight and density into one concept). In
this theory, students define matter as something readily observable that can
be touched, seen, and felt. They believe material bodies are impenetrable
(in the sense that two bodies cannot occupy the same space at the same time)
and believe that material bodies can causally interact with each other. Solids
are the prototypical material objects, whereas air is a prototypical nonmaterial
object. Students may be less certain about liquids and powders because, although
they can be touched and seen, they seem more penetrable. Given that students
expect matter to be readily observable, they think that matter ceases to exist
when it is too small to see or touch, and they cannot think of material objects
as fundamentally continuous (i.e., constituted of matter at every point).
Because students do not think of matter as fundamentally continuous, they
cannot believe that small pieces of matter have weight; so, they cannot conceive
of weight as an additive property of material objects. Weight is felt-weight:
an accidental property of some, but not of all material objects; it is a property
that emerges when you have enough of the material for something to feel
heavy. In making judgments of how heavy something feels, children may employ
different standards that are relative to what is most salient in the situation
(i.e., heavy-for-me, heavy-for-size) and thus conflate elements of weight
and density in one concept. In fact, how heavy something feels is a function
of a variety of physical and psychological factors: the overall weight of
the object, the pressure on one's hand, weight-size illusions, and the way
the object is held with muscles tensed in anticipation.
In contrast, Commonsense Matter Theory 2 supports the differentiation of weight
and density. In this theory, students conceive of matter as fundamentally
continuous and define matter more abstractly as having weight and volume.
Students can now imagine that material objects can be divided into arbitrarily
small units, each of which has a definite volume and weight. These small units
also preserve material kind and properties special to that kind (e.g., odor,
taste, capacity to rot or rust, density). This allows for the possibility
that, although neither palpable nor visible, bits of matter maintain their
integrity. It also permits students to construct a decompositional analysis
of the weight of objects. In such an analysis, the weight of an object is
a joint function of the density of the material and the volume of the object.
Hence, the core idea in the concept of weight is not felt-weight but a fundamental
additive property of matter.
Furthermore, with such conceptions in place, students are now enabled to make
a principled distinction between weight and density: They can conceive of
density as an intensive property of material kinds that is preserved in decomposition,
and they can conceive of weight as an extensive property of matter that reflects
the additive sum of the weight of all the component parts. Finally, this new
theory provides students with the resources for reexamining their assumptions
about the immaterial status of air. To conclude that air is matter, however,
students need additional knowledge that air has weight and takes up space.
D. Excerpt that describes conditions for promoting conceptual change and
the contrasts between two curricular approaches used in this study (pp. 358-369)
General Framework for a Conceptual Change Approach to Teaching
Posner, Strike, Hewson, and Gertzog (1982) argued that four general conditions
must be met in order to promote conceptual change: (a) Students need to be
dissatisfied with their current conceptions; (b) students need to find a new
conception intelligible; (c) students need to find this new conception plausible;
and (d) students need to find this new conception fruitful.
Many different techniques can be employed to help students meet each condition,
including some of the kinds of non-formal reasoning discussed by Clement (1989,
in press). Arousing a student's dissatisfaction involves awakening a student's
interest in a phenomenon, fostering awareness of the student's current conceptions,
encouraging the student to make a prediction or inference based on a conception
(often qualitative in nature), and helping the student to discover that the
prediction or inference is not confirmed. These techniques help students not
only to be aware of an anomaly, but also to care about the anomaly and to
find it bothersome or dissatisfying. Making a new conception intelligible
involves the use of visual pictures or diagrams, familiar analogies, or other
kinds of concrete examples to help students connect the new idea with ideas
they already have or to construct a new model. Making a new conception plausible
involves resolving any discrepancies between the implications of the new idea
and students' general knowledge and beliefs, through discussion, gedankenexperiments,
limiting case analyses, and other techniques. Finally making a new conception
fruitful involves helping students see how the new idea is productive in explaining
a wide range of phenomena. Posner et al. (1982) argued that students must
find the new idea plausible and fruitful as well as intelligible, if they
are going to become committed to the new belief and actually replace their
old conception with a new one.
Conceptual change curricula require that students be aware of their own ideas.
Assessment tasks, such as written tests and one-on-one clinical interviews,
provide one way of posing questions and problems that engage and help to externalize
student conceptions. Informed by the results of these probes, the teacher
can tailor curriculum activities to further engage and externalize these conceptions
in the classroom. Brooks and Brooks (1993) recently discussed classroom techniques
teachers can use to uncover, value, and support these beliefs. For example,
the teacher can acknowledge that multiple perspectives exist rather than emphasizing
that student ideas are right or wrong, provide opportunities for students
to express their point of view and to communicate with each other, pose questions
and problems to students that are helpful in drawing out current student conceptions,
listen carefully and respectfully to students' ideas and ask them to elaborate
or explain their ideas further, and give students opportunities to reflect
on their ideas (e.g. by asking students to reexamine their past work as their
ideas evolve).
These teaching techniques also call on students to take an active cognitive,
emotional and social roles in the process of restructuring their concepts
and building new ideas. They, like their teachers, must acknowledge "that
one's own view is not the only one nor necessarily the correct one, but is
one of many" (Brooks and Brooks,1993, p. 58). They must be willing to articulate
their point of view, to wait and listen while peers express ideas, to dialogue
about beliefs with peers, to think deeply about questions and problems, to
elaborate on and justify their responses, and to reflect on their conceptions.
Indeed, achieving conceptual change may depend on students' success in engaging
in these important processes (White & Gunstone, 1989)
Hennessey & Beeth (1993) recently proposed that upper elementary students
are capable of learning the meta-language of conceptual change theory (e.g.,
dissatisfaction, intelligibility, plausibility, fruitfulness), and that using
this language in the classroom facilitates the kinds of class discussion that
are important in conceptual change teaching. Such vocabulary aids students
in taking the responsibility for monitoring the intelligibility and plausibility
of ideas. It also can provide valuable feedback to teachers about the progress
of the lessons because students' comments during class directly reveal to
the teacher where students are in accepting an idea.
With this brief review of the conceptual change literature as a backdrop, we
now turn to describing the two curricular approaches being contrasted in the
present study and examine how well the two curricula meet the many conditions
for conceptual change.
Overview of the Two Curricula
Curriculum developers in the 1960's developed IPS in response to traditional,
textbook-based science curricula that tried to teach students the content
of science without involving them in the process of science. They intended
IPS to teach students about matter and science "inductively," by involving
them in conducting, writing about, and discussing many firsthand experiments.
Because these curriculum developers were not as attuned to the specific qualitative
conceptions students brought with them to science class, the IPS curriculum
was not explicitly organized around helping students articulate and test their
conceptions against new alternatives. Rather it was based on an assumption
that students would converge on certain scientific ideas and laws by simply
performing and discussing a series of experiments.
The focus of this study is on the conceptual changes brought about during one
part of the IPS curriculum (chapter 2 and 3). IPS shares our assumption that
prior to developing an understanding of the particulate nature of matter,
students need to develop an appropriate macroscopic theory of matter. Chapters
2 and 3 in the IPS textbook aim to articulate a macroscopic theory of matter
in which the quantities of mass, density, volume are all clearly distinguished
and inter-related. Matter is defined in terms of having mass and volume: Solids,
liquids and gases are all phases of matter. Mass is considered the best measure
of the amount of matter in an object because it is the mass, not the volume
of objects, which is conserved across various physical transformations such
as dissolving and heating. Density is defined as mass per unit volume, with
different material kinds having different characteristic properties (e.g.,
different densities, boiling points and freezing points).
We designed our modified IPS curriculum to build on the strengths of the IPS
approach, following the main logic of chapters 2 and 3 and covering many of
the same experiments. We believed, however, that the developers of IPS made
incorrect assumptions about how well students understand concepts that are
fundamental to achieving a robust understanding of density; we also believed
that they underestimated the number of conceptual hurdles students face in
coming to understand these concepts, and the importance of engaging students
in qualitative reasoning to bridge between initial commonsense intuitions
and more formal concepts. We designed the modified curriculum to meet the
conditions of conceptual change described by Posner et al. (1982). We incorporated
many of the strategies noted earlier from the conceptual change literature
in order to make fundamental concepts explicit and visible, to help students
become aware of and explore their commonsense intuitions, and to gain the
qualitative understanding necessary for comprehending the formal concept of
density. We did not attempt, however, to teach students a meta-language for
monitoring changes in the status of their conceptions as did Hennessey and
Beeth (1993). In the sections that follow, we describe the contrasting approaches
taken to teaching students about the properties of matter (chapter 2) and
about density as a characteristic property of material kinds (chapter 3).
The Properties of Matter: The Standard IPS Curriculum
From the very first paragraph and throughout chapter 2, the IPS text assumes
that the following points are unproblematic: Students have a conception of
matter that includes gases, they readily accept that all matter has mass and
volume, and students understand that very small objects have mass and that
the mass of the whole object is a function of the mass of its parts. Students
encounter experiments that are based on these assumptions; yet, the experiments
are not performed for the explicit purpose of testing these points. In one
experiment, for example, students are asked to estimate the mass of a gas
produced in a chemical reaction as part of testing the law of conservation
of mass, not as part of establishing that gases are material and must have
mass. Doing the experiment for this reason fails to challenge students to
consider how the implications of this experiment bear on their basic conceptions
about the non-material nature of air.
In the class with the standard IPS curriculum, students were not asked what
they think the defining features of matter are, or what entities they include
in the matter category. Thus, students did not articulate their own "commonsense
views" of matter (typically that matter is something that can be seen and
held, and something which excludes air). Because students did not have to
articulate their views, they were not likely to be very aware of them or become
dissatisfied with them. No classroom time was devoted to discussing how the
commonsense properties of matter (seeing and feeling) compare and contrast
with the scientist's properties of matter (taking up space and having mass).
With no acknowledgment that students hold alternative views to the physicist's
about what entities are matter or how matter is defined, no attempt was made
to show that the physicist's view is more plausible or fruitful than the students'
commonsense view. Thus, we believe that these students assumed that their
personal views and the scientist's view incorporated the same concepts and
that they simply merged the two views together (i.e., adding the beliefs that
matter has mass and volume to their initial commonsense beliefs that matter
can be touched, seen and held.) For example, students did a complicated Alka-seltzer®
experiment in which they measured the total mass of a dry tablet of Alka-seltzer®
and a capped bottle of water; the total mass of the Alka-seltzer® dissolved
in the capped bottle of water; and the total mass of the dissolved Alka-seltzer®
in the capped bottle of water after the bottle has been uncapped and the resulting
CO2 gas released). As mentioned earlier, however, the focus of
the experiment was on the idea that mass is conserved across chemical transformations
and not on establishing the prior point that gases must be material.
In Chapter 2, the fundamental puzzle for students is: "Which is a better measure
of the amount of matter: its volume or mass?" Students in the standard IPS
curriculum experimented with several situations in which the volume of the
matter changes when no matter is added, and the mass remains the same. Then
they pursued six more experiments (with solids, liquids, and gases) that showed
that, under a variety of dramatically different transformations, mass is always
conserved. The unit (and chapter) culminated in the statement of the law of
conservation of mass.
To the extent that students start with the belief that volume is a good measure
of the amount of matter in an object, we would argue that the standard IPS
curriculum should be effective in arousing dissatisfaction with this initial
belief and in making intelligible the new view that mass is a better measure
of the amount of matter. In addition, it should be effective in showing the
fruitfulness of this new view because it accounts for a wide range of phenomena.
Its only weakness may be in helping students establish the plausibility of
this view. The curriculum does not consider that students might have alternative
views about matter (e.g. a continuous conception of matter) which would make
it hard to understand how the volume of an object can change while its mass
remains the same. It relies on students to accept this phenomenon as an empirical
law or observation at this point. Explanatory model building is introduced
much later (Chapter 8) to help explain the law of constant proportions. If
model building were introduced from the outset as central to the scientific
enterprise, students might have a chance to use this powerful tool throughout
the curriculum.
The Properties of Matter: The Modified IPS Curriculum
In light of our findings that some students think that air is not matter and
that some material objects (such as pieces of Styrofoam) weigh nothing at
all, we designed our modified curriculum to address a broader series of questions:
How can one distinguish between matter and non-matter? What are the fundamental
properties of matter? How can the mass and volume of objects be measured?
Do small objects have measurable volume and mass? Which is a better measure
of the amount of matter in an object: an object's mass or volume?
We began by initiating a whole class discussion about what is and what is not
matter. Is a rock matter? What about sugar, water, air, smoke, light, a shadow,
or an idea? Most students agreed that solids and liquids are matter. They
engaged in lively debate, however, about whether gases, heat, and light are
matter or not matter, and about what the defining properties of matter could
be. Our main purpose was to uncover student ideas and reasons for those ideas,
and to promote awareness of multiple views and areas of agreement and controversy.
Then, we asked students to investigate the properties of matter in the "clear
cases," that is, solids and liquids: Do all solids and liquids have measurable
volume and mass? We wanted students to develop an understanding of how volume
and mass are measured and to develop skill at making these measurements. Students
then examined whether very small or very light objects had volume or mass.
For example, students were challenged to find the volume of a piece of paper,
the thickness of which seemed initially unmeasurable. Students constructed
a variety of ingenious solutions to this problem, including measuring the
volume of a ream of paper and then dividing by the number of sheets of paper.
To address the issue of the mass of very light objects, students first massed
50, 10, 5 lentils, and then, they massed 1 single lentil on a balance scale
and described the resulting pattern observed in this sequence of mass measurements.
They next considered whether half a lentil had any mass, and if so, to devise
a way to estimate the mass of half a lentil. This activity led the class to
consider using the mathematical operation of division to solve this problem,
and to engage in gedankenexperiments about the repeated divisions of a quantity.
Next, in a video of two classmates performing a series of experiments on an
analytical balance, students saw that this balance (sensitive to masses of
1/10,000 of a gram) can measure the mass of a variety of light objects (e.g.,
one fleck of glitter or an inked signature on a piece of paper). They also
saw two pennies massed on scales of different sensitivities. The pennies had
the same mass on the less sensitive digital scale (sensitive to 1/100 of a
gram), but had different masses according to the analytical balance. Thus,
students had the chance to observe and discuss the issue of scale sensitivities,
and to realize how imprecise and inaccurate their own perceptual judgments
can be. We believed these extreme cases considered in this activity helped
challenge their conceptions of weight as felt weight and their over-reliance
on their own felt-weight perceptions.
Once the students were convinced that all solids and liquids have measurable
volume and mass, they were asked: "Which is a better measure of the amount
of matter: the volume of an object or its mass?" Then students performed the
series of experiments in the IPS curriculum which address this issue with
solids and liquids. This portion of the curriculum was largely the same in
both classrooms.
Finally, we re-presented the question of whether gases are material and, after
reflecting, students suggested doing experiments to see if a gas has volume
and mass. After doing several classroom demonstration experiments, the class
as a whole performed the IPS Alka-Seltzer® experiment, which showed, among
other things, that the mass of the gas is measurable, and helped to confirm
that gases must be matter.
Density as a Characteristic Property of Materials: Standard IPS Curriculum.
In Chapter 3 of IPS, students consider three characteristic properties of materials:
boiling points, freezing points, and density. Students in the standard curriculum
first did the experiments on boiling and freezing points and then moved on
to experiments on density. They were introduced to the concept of density
by reading aloud from and discussing a portion of Chapter 3 (and then rereading
this section for homework). The text asked students to imagine an aluminum
rod cut up into sections of equal volume, 1 cm3 each, and note
that each section would have the same mass regardless of the part of the rod
from which it came. The text then notes that the mass of 1 cm3
of water is different from the mass of 1 cm3 of aluminum. Therefore,
the text concludes, the mass of a volume unit is a characteristic property
of a material that can be used to distinguish different materials.
The next paragraph discusses that it is rare to directly measure the mass of
1 cm3 of a substance. Instead, scientists usually find the total
volume and total mass of an object, and calculate the mass of a unit of volume
by dividing the total mass by the total volume, which results in the density
of the material.
In these two paragraphs, the book presents the formal concept of density to
students. Neither the book nor the teacher presented students with any explicit
pictures or models. Without such pictures, students who enter with an undifferentiated
weight/density concept might find it hard to distinguish between the mass
of the entire object and the mass of a unit of volume and, hence, might find
the book definition unintelligible. The teacher did supplement the formal
book definition by saying that denser materials were somehow "more tightly
packed," although he was careful not to discuss atoms or molecules at this
point, because he did not want to introduce any scientific jargon that was
not carefully motivated by the students' experimental findings. In IPS, experimental
findings concerning the law of constant proportions in chemical reactions
are introduced at the end of the curriculum (chapter 8) to motivate an atomistic
conception of matter.
Students went on to do the labs, which involve finding the densities of various
solids, liquids, and gases. The lab for finding the density of a gas involved
a very elaborate procedure that took several days to complete. Throughout
this lab, students made quantitative measurements of mass and volume to calculate
density, used density differences to help them decide whether objects are
made of the same or different substances, considered the nature of experimental
error, and also compared the range of densities found in solids, liquids,
and gases. Finally, they worked through all the word problems posed at the
end of each lab. Many of these problems gave students explicit data about
the mass and volume of some matter and asked them to infer its density or
whether the entities in question are made of the same substance. They were
also given practice in carrying out algebraic procedures for solving "missing
value problems". Using the formula for density (Density = Mass/Volume), they
substituted x for the unknown quantity, and solved for it.
Students never engaged, however, with qualitative puzzles that would challenge
their undifferentiated concept of weight/density. For example, how can a large
heavy piece of aluminum (e.g., 500 gm) have the same density as a small light
piece of aluminum (e.g., 1 gm)? Or, how can a large heavy piece of wood be
less dense than a small light piece of brass? Thus, they were neither made
aware of their initial views about density nor introduced to how the scientist's
view would be more plausible and fruitful than their own. Rather, students
were given a mathematical procedure for determining density and were given
practice with applying that formula to data gathered for solids, liquids,
and gases. Whether students deeply understood that procedure depended on how
well they understood the original IPS explanation for density. We would expect
that only those students who already subscribed to a decompositional analysis
of weight had a chance to understand the IPS explanation when it was presented
to them.
Near the conclusion of the chapter, the teacher brought in a hydrometer and
students worked through a word problem in which they consider how a hydrometer
is used to measure the densities of various unknown liquids. This problem
presupposed that students' understood that density is relevant to the phenomenon
of sinking/floating; however, no explicit experiments were done to develop
this understanding.
Finally, students read the portion of the text that describes how the density
of a substance changes with heating, although they did no firsthand experiments
with thermal expansion. The question in the book is, "Is the density of a
substance always the same?" The answer in the book is the following:
Most substances expand when heated but their mass remains the same. Therefore,
the density depends on the temperature, becoming less as the material expands
and increases in volume .... The expansion is very small for solids and liquids
and has little effect on the density. The situation is quite different with
gases, which show a large thermal expansion." (Haber-Schaim et al., 1987,
p. 62)
Although this portion of text acknowledges that materials do change density
with heating, the bulk of chapter 3 is devoted to making the point that density
is a characteristic property of materials and does not challenge students'
emerging notion that the density of materials remains constant..
Density as a Characteristic Property of Materials: Modified IPS Curriculum
The use of conceptual models to introduce the concept of density is central
to the rationale of the modified IPS curriculum. This rationale has been described
extensively elsewhere (e.g., Snir, Smith, and Grosslight, 1993). Briefly,
the idea behind a conceptual model is to give students a way of visually representing
concepts, which are not seeable or initially differentiated, by exploiting
immediately apprehensible and differentiated visual analogs which have the
same relational structure as the abstract physical concepts. The conceptual
model gives students a way of concretely representing a conceptual distinction
that is not representable in terms of their current matter framework and provides
them with guidance about how their framework needs to be restructured. Figure
3 shows one of the conceptual models we used in the modified IPS curriculum.
One elegant advantage of this model is that volume, mass, and density are
portrayed using three distinct, yet inter-dependent visual referents. Thus,
the visual model embodies the assumptions of a decompositional matter theory
and the quantitative relations in the mathematical formula for density.
| 
Figure 3. An example of a conceptual model used in the modified
Introductory Physical Science curriculum. In this model, a box
represents a volume unit, a dot represents a mass unit, and the
number of dots per box represents the density of the material. |
We began the unit by presenting a multistep problem about the feeding behavior
of different fish. The problem involved several different per quantities.
Students were directed to draw models which accurately portrayed the information
in the "givens" in order to clarify their ideas and devise solutions. Thus,
students experienced how model building was a useful tool to help integrate
information, clarify ideas, and solve problems. While discussing and comparing
their different models, students also had the opportunity to talk explicitly
about some metaconceptual notions about models. These points included that
there can be more than one way to model the same problem, that a good model
should be faithful to the known facts and should use codes in a consistent
way, that models can vary in terms of how picture-like they are, and that
it is often not important for the model to look like what it is modeling,
as long as it conveys information about key relationships (in this case, the
key per relationships).
Students then created pencil and paper models for population density and sweetness,
and worked with our computer-based dots-per-box models for these same phenomena.
The purpose of these activities was to give students further experience in
creating and working with models of per quantities and to make sure they clearly
differentiated between "total number of dots" and "dots per box" in our models.
In introducing the concept of density of materials, we presented a puzzle.
Students were asked the following about three different-sized objects of different
materials that were painted the same color: Could these objects be made of
the same material? How can you tell? What do you think the distinguishing
properties of different materials are? These were the same three objects used
in the standard IPS lab on finding the density of solids. However, in the
standard lab, students are given the procedure for finding density (i.e.,
D=M/V) and were simply asked to apply it to finding the density of the objects.
In reasoning about this puzzle, students in the modified IPS curriculum mentioned
that they thought that some objects were made of heavier kinds of materials
than others. The teacher then asked them to create models to help clarify
their ideas. Same-sized cubes of aluminum and brass (27 cm3) were
then brought out and measured, and students were encouraged to draw a model
which connected their data about mass and volume and showed how the mass is
distributed in each object. In their models, students generally used one large
box to depict the entire 27-cm3 cube, which they filled with different
numbers of dots. They also developed a key to indicate how many grams a given
dot stood for. The teacher asked: Does your model give you any clues about
what might be a distinguishing or characteristic property of materials? Students
then discussed and compared their models as a lead-in to working with the
"mass icons per box" model, the kingpin of the computer software we designed
to help students construct an understanding of mass, volume, and density (Snir
et al., 1993). At this point the word density was introduced and defined
vis-a-vis these models as mass per unit volume.
Students spent about three lessons working with a series of computer-based
conceptual models and simulations that we had designed to help them distinguish
mass (or weight) and density, and to explore the related real-world phenomenon
of flotation. We believe that using computer software had manifold advantages.
In particular, our computer software allows different representations to be
presented simultaneously (e.g., pictorial, conceptual, data table, graphic).
These linked representations provide a means of enriching understanding of
less familiar representations by working with more meaningful representations.
They also provide visual representations for unseen conceptual relations,
and allow students to perform experiments using these conceptually enhanced
representations as a tool for guiding discovery. Our computer simulations
allow students to do informative experiments easily that would be much harder
to do in the real world. For example, students find it extremely difficult
to measure the mass and volume of different samples of the same kind of material
with enough accuracy to determine that different sample sizes do, in fact,
have the same density. Doing simulations on the computer, however, allows
them to see that increasing the volume proportionately increases the mass,
explaining why the density must remain a constant. Such an ideal simulation
prepares students for dealing with the experimental error that occurs in the
lab. Finally, our software offers students personal control over the nature
of the representations used and the time spent reflecting on a phenomenon
of interest or difficulty.
Students used these computer simulations to enhance their understanding
and reflection about real-world phenomena and not as a substitute for doing
lab experiments. For example, working with these simulations helped students
to see what happens to an object's mass and density when its size was increased
and how varying material kind for equal-sized objects affected the object's
mass and density. Once such an understanding was firmly in place, students
returned to the lab to see if they could verify that different-sized objects
of the same material have the same density. In this context, students were
more prepared to interpret observed variations as experimental error rather
than true density differences because they had the firm expectation that the
mass and volume relation should be the same for all sample sizes of the same
material.
To establish the fruitfulness of the concept of density, students also briefly
investigated two other phenomena where the concept of density was useful:
(a) sinking and floating and (b) thermal expansion. First, they investigated
sinking and floating of real objects in the lab. They used qualitative observations
of an object's material kind, relative mass, and relative volume to predict
how it would behave in water, test their predictions, and make up a general
rule to predict sinking or floating of any object in water. Students then
continued their explorations of sinking and floating by using computer simulations.
These simulations allowed them to test more easily the effects of different
variables on sinking and floating (e.g., mass, volume, density of material)
and to experiment with liquids of different densities. This allowed them to
formulate a rule for sinking and floating that focused on the relation between
the density of the object and the density of the liquid, rather than simply
on the density of the object.
Finally, students explored the phenomenon of thermal expansion, using a "ball
and ring" demonstration (a heated ball does not pass through a ring) and an
"expanding oil" demonstration. In both cases, students saw that the volume
increased and the mass stayed the same. (For the ball and ring, the observations
about mass and volume were qualitative, whereas for oil quantitative data
was presented). Students modeled the situation for themselves so they could
work out what happened to the density of the brass ball and oil. These models
helped students to see that although density is a characteristic property
of materials (at a given temperature), the density of a material changes with
heating. Finally, students were invited to reflect on whether or not heat
was matter, given that we found that a heated and unheated ball had the same
mass.
II. Developing Students' Epistemological Ideas about Science
Excerpts from:
Smith, C., Maclin, D., Houghton, C. and Hennessey, M. (2000) Sixth-Grade Students'
Epistemologies of Science: The Impact of School Science Experiences on Epistemological
Development. Cognition and Instruction, 18(3), 349-422. Copyright © 2000,
Lawrence Erlbaum Associates, Inc.
A. Abstract (p. 349): Previous studies have documented that middle school
students have a limited "knowledge unproblematic" epistemology of science
(i.e., scientists steadily amass more facts about the world by doing experiments)
with no appreciation of the role played by scientists' ideas in guiding inquiry.
An important question concerns to what extent students this age and younger
are ready to restructure their epistemological views to focus on more "constructivist"
issues: the conjectural, explanatory, testable, and revisable nature of theories.
This study tests the claim that even elementary school students can make significant
progress in developing a more sophisticated, constructivist epistemology of
science, given a sustained elementary school science curriculum that is designed
to support students' thinking about epistemological issues. To assess the
impact of elementary science experiences on students' epistemological views,
2 demographically similar groups of 6th-grade students were individually interviewed
using the Nature of Science Interview developed by Carey and colleagues (Carey,
1991; Carey, Evans, Honda, Jay, & Unger, 1989). Both groups had experienced
sustained elementary science instruction: 1 taught from a constructivist perspective
and 1 taught from a more traditional perspective. We found that students in
the more traditional science classroom had developed a "knowledge unproblematic"
epistemology of the type previously reported by Carey et al. (1989). In contrast,
students in the constructivist classroom had developed an epistemological
stance toward science that focused on the central role of ideas in the knowledge
acquisition process and on the kinds of mental, social and experimental work
involved in understanding, developing, testing and revising these ideas. We
conclude that elementary schoolchildren are more ready to formulate sophisticated
epistemological views than many have thought. We discuss how these findings
relate to the broader epistemological literature, and the features of the
constructivist classroom environment that may have supported the development
of these sophisticated understandings.
B. Excerpt that contrasts three qualitatively different epistemologies of
science (note: elementary and middle school students who have experienced
traditional science instruction typically hold Level 1 views) (pp. 356-358)
Carey and Smith (1993) distinguished three qualitatively different epistemologies
of science each of which involves a set of different concepts for describing
both the structure of scientific knowledge and the processes of knowledge
acquisition in science. Movement from one epistemology to another thus involves
making fundamental conceptual changes.
At Level 1, scientific knowledge is assumed to consist of a collection of true
beliefs about concrete procedures (e.g., how to do something correctly) or
basic facts (e.g., what happens). Hence, students at this level make no clear
distinction between scientists' ideas and activities or between their ideas
and experimental results. They view scientific knowledge as accumulating in
piecemeal fashion through simple telling or first-hand observation. They also
view it as certain and true. Because they view scientific knowledge as about
what to do and what happens, they view experiments as providing certain information
about what happens or whether one's procedure works.
At Level 2, scientific knowledge is assumed to consist of a collection of tested
ideas. The two new notions that emerge at this level are notions of explanation
and hypothesis testing. Students at this level view scientists as concerned
with understanding how things work or why things happen. They also view scientists
as doing experiments in order to test their ideas to see if they are right
and as abandoning or revising their ideas when they find out they are wrong.
Both notions of explanation and hypothesis testing require that students make
a differentiation among scientists' ideas, activities and experimental results
(e.g. the purpose of an experiment is to test a scientist's idea; the purpose
of an explanation is to account for an experimental result). Although students
appreciate that prior knowledge influences the hypothesis-testing process,
they still think absolute knowledge is obtainable with enough diligence and
effort. They make no distinction between scientists' overarching theories
and specific hypotheses.
At Level 3, scientific knowledge is believed to consist of well-tested theories
about the world, which are useful in explaining events and in predicting the
outcomes of new events. A theory is understood as a coherent, explanatory
framework that consists of a network of hypothetical theoretical entities
that are used to explain patterns of data. Students at this level make an
explicit distinction between the scientist's guiding theories and more specific
hypotheses. They view theories as guiding all aspects of inquiry: the generation
of hypotheses, the selection of methods and the interpretation of data. They
understand experimental results not only as providing evidence for and against
hypotheses, but also as providing support (more indirectly) for and against
theories. They also understand that theories, although revisable in principle,
are resistant to change and slow to evolve. Ultimately, they judge canons
of justification as framework relative and theories as more or less useful
rather than strictly right or wrong. Thus, although students at Level 3 view
scientific theories as providing rigorous standards for knowing and understanding,
they also understand that knowledge of reality is fundamentally elusive and
uncertain.
Carey and Smith (1993) note that Level 1 ideas are consistent with what they
have dubbed a knowledge unproblematic epistemology (i.e., an epistemology
in which knowledge is regarded as true and certain) whereas Level 3 ideas
clearly reflect a knowledge problematic epistemology (i.e., an epistemology
in which one understands the tentative, framework-relative nature of knowledge).
These two contrasting epistemologies are very similar to the starting (absolutist)
and ending (constructivist) epistemologies described in the general epistemological
literature, although a Level 3 epistemology includes specific reference to
the conjectural nature of explanatory theories and the role of indirect argument,
evidence, and cycles of hypothesis testing in their evaluation.
Level 2 heralds the first emergence of some important domain-specific ideas
(science as concerned with explanatory mechanism; experiments as a means for
hypothesis testing) and represents one set of ideas that are transitional
between these two epistemologies. On the one hand, a concern with explanation
and testing does not immediately undermine one's belief in the true and certain
nature of knowledge (e.g., one can believe that explanations are simple inductions
from data, and that experiments can definitely prove one's hypothesis to be
true). On the other, an acknowledgment that scientists are concerned with
explanation and testing can sow seeds for appreciating the constructed, tentative
nature of knowledge, especially as students begin to realize the conjectural
nature of scientific explanations.
C. Excerpt that describes key features of elementary science curricula that
support epistemological development (i.e., movement toward more constructivist
epistemologies) (pp. 402-409).
Implications for the Teaching of Elementary School Science
Our work demonstrates that school science experiences can dramatically affect
the development of epistemological thinking about science during the elementary
school years. More specifically, the sixth-grade students in the constructivist
classroom had clearly developed a more constructivist epistemology of science
than students in the comparison classroom (or, for that matter, the students
in previous studies). We would argue that the main factor responsible for
the two groups' different epistemological stances towards science was the
difference in their elementary school science experiences. Both groups were
the same age (to control for maturationally based developmental factors) and
demographically quite similar (to control for the influence of parents and
outside of school experiences with science). Furthermore, other school subjects
(for students in the constructivist science classroom) were taught from more
traditional epistemological perspectives, making it unlikely that the students
developed their constructivist insights from these other elementary school
experiences. Both groups even had similar amounts of elementary classroom
time spent on science. The main difference between the two groups was the
target epistemology of science that the teachers (implicitly or explicitly)
aimed to help their students develop and applied when designing their science
curricula.
Other researchers (e.g., Brown & Campione, 1994; Lehrer et al., in press;
Metz, in press; White, 1993) have already demonstrated that elementary school
children are more "ready" to engage with issues of theory building and data
gathering than has been assumed by those operating from a Piagetian-based
developmental constraints perspective. What the present research adds is evidence
that they also are able to build more sophisticated epistemological understandings
about science than has been assumed or demonstrated in the prior literature.
We attribute these developments to the innovative educational environments
which provide intensive teacher scaffolding and support for student inquiry.
Taken together, both kinds of research not only challenge the prior conventional
wisdom about the kinds of intellectual demands a developmentally appropriate
elementary science curriculum can and should make, but also begin to provide
valuable alternative models of what truly empowering and effective elementary
school science curriculum can and should be like.
Design Features of an Elementary Science Curriculum that Appear to Support
the Development of a Constructivist Epistemology
But what was it about Hennessey, her teaching, and her "constructivist" classroom
environment that contributed to the tremendous growth in her students' epistemological
views? We believe that many coordinated aspects of her teaching approach were
essential. Although our study was not designed to address this issue directly,
we conclude by discussing what some of these coordinated features may have
been and the ways they may have supported epistemological development. Our
discussion is informed by what we know about Hennessey's classroom from the
work of those who have studied her classroom directly (Beeth, 1998; Beeth
& Hewson, 1999a, 1999b,Hennessey, 1994b, in press; Hennessey & Beeth,
1993) and from our own informal observations. They also are informed by prior
research and theoretical writings on features of classroom environments that
may be particularly important in promoting epistemological understanding and
conceptual change 8.
Authentic inquiry. First, Hennessey gives her students responsibility
for managing most aspects of their own inquiry. Although she generally begins
units by giving students a set of phenomena to explore, it is then the students'
task to record the questions they have about these phenomena, to select questions
they want to pursue further, and to plan ways to pursue their investigations.
In these respects, Hennessey routinely involves her students in what Roth
& Roychoudhury (1993) have called authentic contexts for scientific
inquiry: contexts in which students have responsibility for posing questions,
generating methods and analyzing data. This form of more "open" inquiry starkly
contrasts with the more "closed" laboratory exercises used in traditional
science classrooms, in which the problems, methods, and often even expected
answers are given to students ahead of time. Some advantages of more authentic
inquiry are that it ensures that the questions investigated make sense to
the students (as they are grounded in what they know and think) and it elevates
student motivation, interest, and involvement. In addition, as Chinn and Malhotra
(in press) point out, there is an even deeper reason that involving students
in more authentic inquiry may be particularly important in promoting epistemological
development. By leaving open both the question of problem and method, students
must confront a number of thorny issues about the interplay between theory
and evidence that never get raised in more standard exercises. These authors
analyze the detailed ways in which more authentic experimentation and inquiry
supports the development of a more constructivist epistemology and traditional
laboratory exercises support a more inductivist or positivist view. Significantly,
many of the innovative curriculum units developed for elementary school students
in the last decade have all involved students in authentic inquiry (Brown
& Campione, 1994; Lehrer et al., in press; Metz, in press; Roth, 1996;
White, 1993).
Generative problems. Second, Hennessey selects initial problems
that invite her students to consider issues of deep disciplinary significance.
Gardner, Perkins, Wiske, and colleagues call these "generative topics" (Gardner,
1999; Wiske, 1997): topics that open up rich veins of inquiry within a discipline,
such as science, mathematics, history, or the arts. For example, in one curricular
unit, Hennessey's students explore their ideas about the day/night cycle and
the causes of the seasons in ways that encourage them both to think about
the relations between the earth, sun, and other elements of the solar system,
and to build models of these relations. In another unit, students explore
the motions of everyday objects and work with each other to develop ways of
describing these motions. They wrestle with the difficult problem of how to
describe the motions in a clear and consistent manner and ultimately raise
deeper questions (explored in a later grade and unit) about how to explain
these motions. In other units, students explore phenomena that involve them
in theorizing about nature of heat, matter, gravity, living things, heredity,
and the origins of the universe.
These topics all involve areas where students' starting conceptions can be
quite fuzzy and different from the ideas of science experts. Thus, in pursuing
their investigations, students must work to clarify and understand their own
initial ideas. They also encounter both anomalies that challenge their thinking,
and new ideas (from their teacher and others) that contribute to the process
of conceptual change.
Most of the reform curricula showcased in the literature also stress the importance
of picking problems that reveal important principles. However, these curricula
vary in whether they focus on important design and engineering principles
(Roth, 1996), on important methodologies for investigating a domain (Metz,
in press), or on underlying domain-specific theories that involve students
in conceptual changes (Brown & Campione, 1994; Hennessey, in press; White,
1993). We believe that Hennessey's deliberate choice of problems which are
on the frontiers of student understanding provides her students with a particularly
rich opportunity to learn that ideas are multi-faceted and involve explanatory
conjectures that go beyond the information given. These problems also allow
students to experience the difficulties in coming to understand their ideas
and to learn about the kinds of mental work that go into understanding and
clarifying ideas.
Representing ideas in multiple ways. A third feature of Hennessey's
approach is her emphasis on having students take responsibility for representing
their ideas in multiple ways. Clearly, if the focus of the curriculum is on
the development and elaboration of student ideas, it is important to find
ways to make those ideas public and open to inspection and debate. Not only
do explicit representations help students concretize and systematize inherently
abstract and complex ideas, they also help students clarify ideas or discover
aspects of their ideas that are not clear to them. Finally, as has been well
documented in the conceptual change literature, making ideas public facilitates
the process of conceptual change itself (e.g., Hewson & Hewson, 1983;
Minstrell, 1982; Smith et al., 1997).
Hennessey encourages students to use a variety of means to make their ideas
public, including poster production, concept maps, physical models, drawings
of conceptual models, word processing to write out ideas, audio-tapes to dictate
ideas, and small and whole group discussion to present ideas orally. Poster
production, audio recordings, and written statements not only serve to make
ideas public, but also preserve a record of those ideas so that students can
explicitly compare earlier and later ideas. Significantly, Hennessey encourages
her elementary school students to represent, share, and analyze their ideas
about domain-specific science concepts as well as their metaconceptual ideas
about thinking, learning, and science. For example, students were asked to
create concept maps of their notion of ideas and of the terms intelligible,
plausible, fruitful, and to write word-processed essays in which they expressed
their beliefs about the nature of learning and science.
Collegial learning communities and metacognitive discourse.
The fourth and fifth features of Hennessey's teaching approach that we believe
are central to enhancing the development of a constructivist epistemology
among her students are the kinds of social and discourse structures that characterize
her classroom. She has created what Brown & Campione (1994) call a community
of learners, where social dialogue and collaboration is an essential
aspect of the learning process, yet where each student's voice is heard, respected,
and valued. Students work together in a variety of ways—planning and
conducting investigations; negotiating the meaning of words; learning to listen,
share, and raise questions about each other's views—much in the way
a community of scientists works together in developing and considering the
viability of each other's ideas.
In such an environment, the teacher's role is complex: Often she serves as
a facilitator and scaffolder of student inquiry. At other times, she introduces
the views of members of the professional "science community" for her students
to consider. This kind of social environment facilitates students' awareness
of the diversity of viewpoints and the ways in which they may (or may not)
fully understand the ideas of self and others. It also widens the range of
ideas students consider, which often leads them to develop more complex views.
Given this kind of social environment, it is not surprising that students
view these social interactions as vitally important to the learning and knowledge
acquisition processes.
The collegial social environment in Hennessey's classroom calls for and is
supported by an explicit "metacognitive" discourse among students about their
ideas. In her own research, Hennessey (in press) has extensively described
the nature of this discourse and the variety of ways that the elementary students
in her classroom are encouraged to develop metacognitive abilities. These
include explicitly stating or identifying their own conceptions, considering
the reasoning used to support a conception, considering the implications of
a conception, temporarily bracketing or setting aside one's own conceptions
in order to consider the competing views of others, reflecting on the status
of conceptions of self and others (i.e., their intelligibility, plausibility,
and fruitfulness), and evaluating the consistency and generalizability of
a set of conceptions. She does not, of course, expect students to have all
these metaconceptual skills initially. Rather, it is an explicit goal of her
curriculum to help students build increasingly sophisticated metaconceptual
skills and understandings over a 6-year period. (See Table 1 for a description
of metaconceptual goals for students at each grade level and the way she ups
the ante for students in grades 4-6).
In a recent observational study, Beeth and Hewson (1999a) described the complex
kind of discourse that occurred in Hennessey's sixth-grade classroom during
a 37-day unit on force and motion. They believed a crucial part of the artistry
of her pedagogy is the way she and her students weave among three kinds of
discourse throughout the unit: discourse about specific science concepts,
metacognitive discourse concerning the status of their ideas, and discourse
about epistemological standards. They also believed the depth of understanding
her students achieve is significantly influenced by three sources of authority
at play in this learning community: curricular authority, authority of epistemological
standards, and personal authority. Curricular authority is in the hands of
the teacher as she chooses concepts for study and the depth of target understandings.
The authority of the scientific community's epistemological standards is introduced
by the teacher when students are ready to apply them, by teacher-initiated
questions such as: Do you have evidence for your ideas? Are your ideas consistent
with other ideas? Can you use your ideas to make predictions about new situations?
Students also negotiate and apply their own epistemological standards. This
personal authority is exercised by the students as they determine what to
understand and ways to apply their ideas to new contexts. Hennessey respects
and nurtures this personal authority by providing ample time for students
to work with ideas, to negotiate standards for judging ideas, and to explore
the status of ideas.
We believe that the discourse in Hennessey's classroom has all the elements
of what van Zee and Minstrell (1997) called reflective discourse, a
kind of discourse that they argued is crucial to supporting the process of
conceptual change. In contrast to the teacher- controlled discourse of more
traditional classrooms which follows the rapid-fire IRE format (teacher initiates
question, student responds, teacher evaluates correctness of
student response and then moves on to the next question and student), reflective
discourse is more student-centered, slower paced, and open ended. In particular,
the questions and comments raised by the teacher or other students occur in
reaction to student initiated comments and often have the structure of a reflective
toss (student utterance, teacher or student question or comment, student utterance).
Such questions and comments may probe for clarification and elaboration of
meanings, draw out a variety of views in a neutral manner, and encourage students
to monitor the discussion and their own thinking. Both students and teacher
take the important roles of questioners and commentators, and vigorous student-student-student
reflective dialogues ensue.
Although reflective discourse with these features has been described for a
variety of reform curricula both at the elementary and high school levels
(Brown & Campione, 1994; Hennessey, in press; Lampert, 1990; Lehrer et
al., in press; Metz, in press; Minstrell, 1982), there may be distinctive
differences in the ways this type of discourse is orchestrated and the relative
importance placed on its different components. For example, some teachers
seem to focus on scaffolding discourse about evaluating an idea in relation
to its fit with evidence (Brown & Campione, 1994; Lehrer et al., in press;Metz,
in press). Other teachers, such as Hennessey (in press), seem to put greater
emphasis on scaffolding discourse about evaluating an idea in light of a variety
of criteria: its intelligibility, its fit with their prior ideas, and its
fit with evidence. The way these differences manifest in a given reflective
discourse not only interacts with how the acts of inquiry occur in the classroom,
but also may have implications for the epistemological lessons students learn
from the curriculum in which the discourse evolves. Perhaps one reason that
the students in Hennessey's classroom were so aware of the guiding role ideas
play in scientific inquiry was the great emphasis she placed on having them
evaluate their ideas not only in terms of fit with evidence, but also in terms
of intelligibility and fit with their prior ideas.
Other features. A variety of additional factors may have contributed
to the effectiveness of Hennessey's curriculum in bringing about change in
student epistemological understandings. Hennessey is a knowledgeable scientist,
with graduate study in the biological sciences. Her depth of scientific knowledge,
as well as her willingness to research topics or contact experts, allows her
to respond flexibly and intelligently to the questions and issues her students
raise. She is knowledgeable of research on student conceptual frameworks and
of reform efforts to teach science from a constructivist perspective, having
completed doctoral work in science education. She, herself, has sophisticated
epistemological views toward science. In addition, she is highly experienced
at teaching elementary science from a constructivist perspective, having worked
from this perspective with students over the last 20 years. Finally, by teaching
science in a school which allows her to work with the same students over a
6-year period (and by having a student body that is relatively stable), she
has an extended time scale which makes it more likely that deep conceptual
change can occur. She has unique opportunities to get to know her students
and their thinking, to invite them to revisit and deepen their understanding
of topics at varying points throughout the curriculum, and to remind them
of their earlier views (e.g., she pulls out posters saved from prior years
and discusses with students how their ideas have changed). In all of these
respects, her classroom may represent a best case scenario for bringing about
change in students' epistemological understandings.
However, we believe that we can learn a great deal from careful analysis of
best case scenarios. They inform us of what is educationally possible given
the prior concepts and developmental limits of elementary schoolchildren.
What we learn is that elementary school children are much more capable of
engaging with theory building and epistemological issues than many have assumed.
Best case scenarios also can contribute to our understanding of exemplary
educational practice and to our developing a more adequate vision of what
the central goals of an elementary science curriculum can and should be. Like
a number of other researchers in the field, we believe it may be particularly
important to develop students' epistemological understandings early, as these
views can provide an exciting and empowering framework to build upon in their
subsequent science educational experiences.
References
Beeth, M.E. (1998). Teaching science in 5th grade: Instructional
goals that support conceptual change. Journal of Research in Science Teaching,
35 (10), 1091-1101.
Beeth, M.E. & Hewson, P.W. (1999a, March). Facilitating learning of
science content and scientific epistemology: Key elements in teaching for
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8 See Lederman (1992) for a review of classroom environment
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