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MISCONCEPTIONS
Department of Biological Science, College of Natural Sciences and Mathematics, California State University, Fullerton, California
Address for reprint requests and other correspondence: N. J. Pelaez, Dept. of Biological Science, College of Natural Sciences and Mathematics, California State Univ.-Fullerton, 800 North State College Blvd., Fullerton, CA 92834-6850 (E-mail: npelaez{at}fullerton.edu)
| Abstract |
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Key words: assessment; science education; teacher education
| Introduction |
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| Theoretical Framework |
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Studies to detect student ideas that hinder learning have been conducted with students across a wide range of science subject areas (for a bibliography, see Ref. 8). Misconceptions about human physiology have been associated with the way teachers and textbooks present information and with the incorrect use of language in class (12, 16). For example, Buckley (4) found that when children explain blood circulation, they often have misconceptions similar to those portrayed in textbook illustrations. Michael et al. (13) used a diagnostic multiple-choice test with written justification for the choices to detect 13 different misconceptions about cardiovascular function that were consistent among undergraduate students in college physiology courses. Similar misconceptions were held by at least half of the students across a range of undergraduate institutions. Findings suggest that students are unable to apply models to physiological situations or are missing critical facts such as the right and left ventricle contracting at the same time.
Misunderstanding about human blood circulation can escalate when elementary or secondary school teachers hold their own misconceptions. Yip (20) evaluated science teacher knowledge of the circulatory system. Teachers were asked to underline incorrect statements about blood circulation and provide justification for their choices. Most teachers were unable to relate blood flow, blood pressure, and blood vessel diameter. More experienced teachers often had the same misconceptions as less experienced teachers. Although teacher education programs focus on teaching principles, methodology, and practice, few provide deep understanding of science content (20). This study looks at blood circulation misconceptions as a first step in helping college students who will become elementary teachers learn to explain the blood circulation ideas they will teach.
Traditional modes of instructional delivery and assessment such as multiple-choice and written essay exams may not reveal misconceptions that interfere with learning. Instructional protocols are being developed by science educators to help faculty find out what students are thinking during the instructional process so that students can be assisted in modifying their incomplete or erroneous ideas (7, 12, 13). Using materials similar to those developed by Arnaudin and Mintzes (1) and Reiss and Tunnicliffe (15), we wrote assignments about human blood circulation to reveal student thinking in three ways (see the APPENDIX). Each protocol encouraged students to examine their own errors and to reflect on their learning progress while showing the faculty what corrections should be made. First, we adopted the diagram prompt method because flaws are exposed when students integrate their visual and verbal understanding of human blood circulation (9). Second, we wrote an assignment for students to construct essays about blood circulation for peer review using Calibrated Peer Review. This method encourages students to organize and express their understanding in writing (5, 14). The third assignment we wrote was a debate about models of blood circulation using the Web-based Knowledge Integration Environment to encourage oral expression in a collaborative environment where students gather evidence to build upon or reorganize their experiential knowledge (2). The drawing, writing, and oral debate protocols expose student thinking as they present their evidence and construct explanations. We expected reflection during learning activities to result in students finding and correcting their errors (6). Instead, we found that the real power of these activities is in showing faculty what problems require them to intervene.
| Objectives |
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| DESIGN AND PROCEDURES |
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Quantitative and qualitative data were collected from the three learning activities and two exam assessments (see the APPENDIX). The intent of the learning activities was to reveal errors and provide feedback to students about the following:
The activities were used as both learning resources and to complement lectures. The instructor was assumed to be only one of several sources of knowledge. In addition to the lecture material, students consulted the textbook, other books, Web resources suggested for each activity, and their peers.
Students first completed the pretest drawing with their written explanation of human blood circulation and lung function (Fig. 1A). The topics were then studied in a human body unit during 1 wk of the semester (three 2-h class sessions). Because of time constraints, students in three of the five sections wrote and then peer reviewed essays about blood circulation. Students in the other two sections debated opposing assertions about models of blood circulation. After instruction and feedback, all students were assessed by an essay exam where they explained how blood circulation facilitates exchange between the body and the external environment. Part of the final exam was an interview using the same diagram prompt from the pretest (Fig. 1B). The drawing helped students gather their thoughts and gave them confidence. They had plenty of time to draw and write about the blood pathway and lung function before they were individually interviewed about their drawings in a quiet room.
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Development of a Coding Scheme for Erroneous Ideas
A qualitative research method was used to characterize individual kinds of errors as well as the categories of errors. Three reviewers independently identified erroneous ideas starting with a random subset of the data that included each assessment for 15 of 88 students. The reviewers included a biology graduate student who worked in a blood bank, a senior biology major who had completed course work in physiology and in human anatomy, and a physiology professor. Each reviewer recorded the errors, placed them into groups with similar ideas, and then further grouped the ideas into broader categories using a grounded theory approach (18). The reviewers then considered the data together and came to a consensus on categories for the erroneous ideas. In each category, the idea expressed had to be completely correct to be coded as "correct." Any error within a response was sufficient to code the student as having an "error" for that category.
Analysis
Reliability.
The coding scheme was tested by the reviewers on one complete set of the data from a random representative sample of 20 of 88 students. Interrater reliability was at least 96% for data from each source: explanations of the pretest drawing, peer review essays, debate transcripts, the essay exam, and transcripts of the drawing interview.
Descriptive statistics.
The number of different kinds of erroneous ideas in each category was reported for each data source. The frequency of students with each individual error and the frequency of students with an erroneous idea in each category were compiled for each data source. Only errors expressed by 2 or more of the 88 students are reported here.
Statistical analysis.
For each of the five categories, the students who revealed erroneous ideas or correct ideas on the written essay and interview exam were counted and statistically compared using
2-analysis, with significance defined as P < 0.05.
| RESULTS |
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Blood pathway.
These are errors about the pathway a drop of blood takes as it leaves the heart and travels through the body and lungs. A typical correct answer explains dual circulation with blood from the left side of the heart going to a point in the body and returning to the right side of the heart, where it is pumped to the lungs and back to the left side of the heart.
Blood vessels.
These are errors about the veins, arteries, and capillaries. A correct response has blood traveling in veins to the heart and arteries carrying blood away from the heart, and the response recognizes that arteries feed and veins drain each capillary bed in an organ.
Gas exchange.
These are errors about the dependence of gas exchange on diffusion between the blood capillary and alveolar or cell space. A correct response indicates that a concentration gradient between two compartments drives the net transport of gases across cell membranes.
Gas molecule transport and utilization.
These are errors about the mass transport of oxygen by the blood to the cells of the body or about the production of carbon dioxide by the cells and transport to the lungs. A correct response explains that oxygen is transported by blood to the cells of the body and carbon dioxide is transported from the cells where it is produced and eventually back to the lungs.
Lung function.
These are errors with functions other than gas exchange assigned to the lungs or lung functions assigned to other organs. A correct response explains that lungs get oxygen from the air and eliminate carbon dioxide from the body.
Two Case Studies
To illustrate how ideas unfolded for each category, the responses of two students with typical ideas are examined in detail. The first subject, referred to as Tony, was enrolled in a class that performed the debates several weeks after the pretest drawing on human blood circulation. The second subject, referred to as Kim, constructed an essay for peer review instead of performing debates. The names are pseudonyms to protect individuals.
The ideas Tony expressed were tracked over time (Table 1). Tony started out with the round trip idea by drawing the path of blood as a continuous circle around the body on the pretest (Fig. 1A). During the debate, Tony held on to this erroneous idea:
"The blood is circulating at all times. It begins in the heart and it goes everywhere around your body and it eventually ends up at the heart again. The blood takes 20 s to pump to every cell in the body."
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Table 1. Errors and correct ideas expressed by a typical student, Tony, during instruction and assessment in a section that implemented classroom debates
When Tony wrote about the blood pathway on the essay exam, the idea was corrected:
"The circulatory system has a specific pathway. The blood starts off on the right half side of the heart and it is pumped to the lung, where it is oxygenated and the carbon dioxide is removed. Then it is returned to the left half of the heart. From there it leaves through the arteries to its designated place. It returns back to the heart through a vein."
Even though Tony's ideas had improved, the essay still lacked connections between arteries, capillaries, and veins. On the final interview, Tony made these connections and distinguished arteries from veins:
"It [the blood] leaves the heart through an artery, the aorta. Then from arteries it turns into capillaries and capillaries to veins and it goes back up to the heart through veins."
However, Tony's final drawing of the blood pathway made no reference to the lungs (Fig. 1B), and the interview showed confusion:
"And then in the lungs it goes through the lungs to clean and so then when it leaves the lungs it goes from the right ventricle to the left ventricle and it's oxygenated blood."
The distinction between arteries and veins was not extended to the pulmonary circulation when Tony responded on the final interview to a question about blood vessels to and from the lungs with "I don't know."
Tony expressed too few ideas about gas exchange or gas utilization/transport during instruction to judge the ideas as correct. The essay exam showed an understanding of gas utilization/transport but did not provide enough information to confirm an understanding of the dependence of gas exchange on concentration gradients.
"The blood transports the muscles' carbon dioxide out of the lungs at the alveoli. The alveoli interact with the blood to diffuse oxygen in the blood and carbon dioxide out of the blood."The quote above indicated progress toward understanding. On the final interview, new problems appeared. Tony indicated knowledge of concentration gradients but confused osmosis with diffusion.
"From one place ... it leaves that place to go to a less concentrated place. Where it's concentrated to a less concentrated place. Well, I'm not sure but I think it's the one when we exhale we breathe it out ... I'm not sure if it's called osmosis when we exhale the carbon dioxide."When asked why the levels of oxygen and carbon dioxide are important in the blood, Tony replied, "Cuz that's how we breathe. That's what keeps the red blood cells moving," indicating a blood circulation function for the lungs. Tony also stated that lungs "clean" blood.
Many of the ideas expressed by another subject, Kim (Table 2), were similar to those expressed by Tony. Like Tony, Kim drew the path of blood as a continuous circle around the body on the pretest. On the essay for peer review, Kim distinguished arteries from veins and wrote, "The heart pumps the blood and keeps it moving through what we call the circulatory system." This did not provide enough information to know if Kim still held the round trip idea about the blood pathway. On the essay exam, Kim described the blood pathway in detail.
"The right half of the heart receives oxygen-poor carbon dioxide-rich blood from the body and pumps it to the lungs, where it is oxygenated and the carbon dioxide is removed. The left half of the heart receives blood from the lungs and pumps it into the aorta. Blood travels away from the heart through arteries. Arteries branch and narrow to become arterioles and the arterioles branch into tiny capillaries. Capillaries form networks of vessels which join to make veins. Veins carry the blood back to the heart."By the final interview, Kim revised her ideas about the blood pathway to include the urinary system with the following erroneous explanation of a drawing that showed blood leaving the heart for the toe and then to the lungs before returning to the heart:
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Table 2. Errors and correct ideas expressed by a typical student, Kim, during instruction and assessment in a section that implemented Calibrated PR
" ... it goes out the heart ... to flow down the big toe and then it's going to eventually go back up and it's going to your lungs and your kidney and up into the left atrium and then go through the whole cycle again... The blood when it's in the lungs it gets the proper nutrients for the blood to be continued on circulating through our whole body.Like Tony, at the end of the course, Kim indicated that lungs clean and pump the blood. A written explanation on Kim's pretest drawing, "When the blood travels through the lungs it is getting certain nutrients that are needed," was similar to the idea Kim still held on the final interview. On the peer review essay, Kim did not mention the lungs when writing about gas exchange, and the essay did not provide enough information to know whether Kim recognized the need for a concentration gradient to drive diffusion:
"Red blood cells take oxygen to the body's cells and pick up carbon dioxide from them. Diffusion allows the oxygen to go to the capillary. Diffusion is when something penetrates (goes through) a cell membrane and into the cell."Gas exchange was coded as an error. Although the statement "Diffusion allows the oxygen to go to the capillary" would be true if Kim were talking about the lungs, the context described here is capillaries at "the body's cells," and this is not where oxygen diffuses into the capillaries. On the essay exam, Kim wrote about lung function:
"In lungs, the gas exchange system filters, it warms and moistens the air coming into the body. It provides oxygen to the body's cell and removes carbon dioxide waste. It regulates acidity of blood."Instead of these important lung functions, in the final interview, Kim assigned incorrect functions to the lungs. "If we're lacking oxygen then our blood is not going to be able to flow through us as quickly." The drawing for the final interview also had an incorrect written explanation:
"The blood is cleansed when going through the lungs and also gets the nutrients it needs. And then flows out the right atrium to the toe and comes back up through the left atrium. The lungs serve as the pump. If your lungs go bad your blood is not being circulated to your body properly."
Different Errors Detected by Instruments
Both Tony and Kim expressed errors on their final interview that did not appear on their essay exam. This result was consistent for all 88 students. The interview about student drawings revealed almost twice as many different kinds of errors as the other data sources (Fig. 2). Thirty-two different errors were expressed by at least 2 of 88 students (Tables 37). The interview detected all but one of the gas transport/utilization errors. In contrast, the essay exam detected only four of six blood pathway errors, four of five blood vessel errors, five of seven gas exchange errors, none of the six gas transport/utilization errors, and three of eight lung function errors. The learning activities were sensitive for detecting different errors in one or two categories. For example, the pretest drawing revealed over half of the blood pathway errors and lung function errors but almost none of the gas exchange or transport/utilization errors. The peer review essay revealed over half of the pathway errors and most of the gas exchange errors but very few of the blood vessel, gas utilization, or lung function errors. The debate revealed most of the blood pathway and blood vessel errors but almost none of the lung function errors.
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Another common error detected on all assessments except for the pretest drawing was the idea of conversion between carbon dioxide and oxygen. On the essay exam, a student wrote, "It [blood] flows to the arterioles and then the capillaries where through diffusion trades with the cells oxygen for carbon dioxide." Variations of this idea also appeared on the peer review essays. For example, when explaining the function of hemoglobin, a student wrote, "While in the lungs the hemoglobin found in the blood picks up oxygen and delivers carbon dioxide that it has collected on its journey." During the debate, a student explained gas exchange with an analogy:
"Carbon dioxide in the lungs exchanges for oxygen. By definition like with a shirt if you go to a store you can't exchange part of a shirt and get something else, you have to exchange the whole shirt to get something else. The same is with oxygen exchange for carbon dioxide. In the lungs all the carbon dioxide exchanges for new oxygen. You have to get rid of all of one to get the other."
Another student explained, "There must be an exchange of carbon dioxide leaving the cell and oxygen entering." Although this error was corrected during instruction, the idea still appeared on the final interviews. At the end of the course, one student explained, "It has to be balanced. There can't be complete carbon dioxide on one side and oxygen on the other. Carbon dioxide gets replaced with oxygen."
Error Prevalence by Instrument
The drawing interview was more effective than the essay exam for revealing erroneous ideas. For every category, the portion of students with correct or erroneous ideas was significantly different between the essay exam and the final interview (Table 8). The final interviews and drawings (last column of Tables 3 7) generally exposed a high frequency of students with erroneous ideas even though the interview was conducted after the three class sessions had been completed, when progress in learning would be expected. In many cases, erroneous ideas were firmly held even after instruction that exposed the most frequent errors to scrutiny and discussion. The most common blood pathway, blood vessel, and lung function errors were uncovered by the pretest drawing (Tables 3, 4, and 7, first column), whereas the peer review essay best revealed the error that carbon dioxide is converted to oxygen (expressed by about 1 of 4 students; Table 5, second column). During the classroom debate, it became apparent that a number of students thought the lungs remove all of the carbon dioxide or that gas exchange is an active process (Table 5, third column) or that oxygen is a fuel and waste carbon dioxide turns lungs black (Table 6, third column). Several erroneous ideas persisted over time, across different learning activities, and were robustly held in spite of confrontation (Tables 37). These include the round trip blood pathway (Table 3), problems with the term "vein" (Table 4), the idea of carbon dioxide conversion to oxygen (Table 5), and other problems about gas diffusion (Table 5).
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| DISCUSSION |
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This research points to some possible causes for difficulties students have learning the blood pathway and gas exchange: problems with underlying knowledge, imprecise language use, or faulty mental models. Although some incorrect ideas were factual errors and not misconceptions, problems were interwoven in a way that challenged these learners and interfered with their developing ability to explain blood circulation ideas to the children they will teach.
Problems with Underlying Knowledge
Although one might expect learning about gas exchange to progress as a simple accumulation of new knowledge, results show a more complex development. Students incorporate their prior knowledge when making sense of gas exchange and gas transport. For example, some students thought that waste carbon dioxide turned the lungs black, and a number of students considered carbon dioxide to be poisonous (Table 6). The discovery that students associate air pollution and smoking with carbon dioxide was unexpected. The drawing interview exposed errors about gas exchange as a major problem, with the highest prevalence of errors at the end of the course.
Learning must be built upon a foundation of prior knowledge (16). Many students in this study did not possess the underlying knowledge needed to understand human blood circulation. Examples include a deficient knowledge of arteries and veins, conservation of energy, the function of concentration gradients to drive diffusion, conservation of chemical substances, and the particulate nature of oxygen and carbon dioxide. Some failed to recognize the relationship between oxygen or carbon dioxide as components of air. Understanding cell respiration and the roles of oxygen and carbon dioxide in metabolism might have helped students recognize as a faulty model the idea that lungs convert oxygen to carbon dioxide.
Imprecise Language Problems
Precise language is required for students to distinguish scientific concepts from everyday usage (12). In this study, imprecise use of the terms circulation, vein, air, diffusion, and exchange were associated with many errors. Students did not understand the term "circulation" as the movement of blood through a network of blood vessels and instead talked about blood movement in a circle. Confusion about the function and structure of veins and arteries was prevalent on the final exam interview, where many students referred to all blood vessels as "veins" (Table 4). Similarly, a discussion of "air" without referring to its gaseous components could simply reflect an imprecise use of language. A surprising miscommunication occurred with a conflict between the scientific definition and student use of "diffuse" to mean "distribute" throughout the body, as in the student notion of blood diffusing oxygen throughout the body (Table 5). An interesting problem with gas exchange stems from the meaning of the word "exchange" in common usage as "trading one object for another." One molecule of oxygen is not traded for a carbon dioxide molecule in the lungs. More intervention is needed to help students to assimilate the scientific meaning of blood circulation terms.
Faulty Mental Models
At the end of the course, many students were still unable to explain dual blood circulation where blood leaves the heart on a trip to a capillary bed in the body and then returns to the heart to be pumped to the lungs and back. According to the pretest drawing, almost half of the students envisioned the round trip idea of blood flowing in a continuous circle around the body before returning to the heart. The drawing interview most effectively revealed errors about the pathway of blood. Confusion about the function and structure of veins and arteries was prevalent in the final interview as was the error that blood travels from the body to the lungs without first returning to the heart. The essay exam was less effective at showing these types of errors.
Faulty mental models were associated with errors that were hard to correct. According to Michael et al. (13), students need correct models to solve problems about changes in the heart and respiratory pump functions. Students in this study exhibited several faulty models about respiration and blood flow. Some thought of the heart as a symbol but not as an organ connected to arteries and veins. Many need help interpreting stylized textbook diagrams that seemed clear to an expert. Associated with a misunderstanding of the term "circulate" was an oversimplified drawing in the text that may have confused the students. They did not notice the details that would help them correct their mental model of blood traveling around the body to each extremity before returning to the heart. An instructor could point out the necessary features in a diagram to make the pathway of blood clear to the students.
Implications
Instructors are often unaware of misconceptions that interfere with learning (12). The variety of instructional activities and assessments used in this study revealed errors to both student and professors. An easily administered drawing prompt was sensitive for revealing inaccurate ideas about lung function but not about diffusion or gas exchange in the lungs. Although requiring considerable time to evaluate, an essay exam was effective at revealing inaccurate ideas and their distribution, but the prevalence appeared low. The combination of a drawing and interview was most sensitive for showing a greater variety and higher prevalence of problems than any other data source. This time-consuming assessment involved conducting, transcribing, and coding the interviews. The amount of time is beyond the scope of most college science courses. However, the interviews were worth the effort because the ideas reported here may also present problems for students of other introductory biology courses.
Because no control group was included in this study, the claim that the instructional activities reported here reduced the frequency of errors held by students cannot be made. However, results can be used in several ways. Prompts from the student interviews may help faculty detect their students' ideas about blood transport and gas exchange. A better understanding of student ideas can serve to focus tutorial discussions. When textbooks or visual illustrations fail to meet students' information needs (12, 13), assignments written using on-line tools such as Calibrated Peer Review or the Knowledge Integration Environment can be shared to fill the deficiencies. Finally, faculty need knowledge of prevalent errors among a particular student population to target learning objectives, select questions, and develop activities or scaffolds to help students understand scientific concepts. Linn and Songer (10) reported seven curricular revisions that improved student learning fourfold. The present study constitutes a first step in a series of instructional design adjustments to help students test and improve their ideas about human blood circulation.
In summary, the results indicate persistent difficulties that hinder learning about blood circulation among prospective elementary teachers. Learning activities based on drawings, written essays, and oral debates helped us understand the ideas this group brings to the classroom. The instructional activities may have helped students realize discrepancies between their understanding and scientific views of human blood circulation, but none of the errors were completely eliminated. An oral interview as part of the final exam was more powerful than an essay in showing what our students failed to learn: 70% did not understand the dual blood circulation pathway, 33% were confused about blood vessels, 55% had wrong ideas about gas exchange, 19% had trouble with gas transport and utilization, and 20% did not understand lung function (as indicated by the frequency of errors on the final interview exam; Table 8). If we really want to remedy these difficulties, we must assess students in different ways and provide them feedback as they progress through a course.
| APPENDIX |
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Calibrated Peer Review of essays.
Using Calibrated Peer Review, students wrote and submitted essays to a Web-delivered peer assessment tool (see http://cpr.molsci.ucla.edu). They then read three texts that were calibrated by the instructor to train students to evaluate peer responses. This aspect of Calibrated Peer Review provided the instructor with an opportunity to confront students with erroneous ideas. After "calibration," each student peer reviewed three essays from other students before completing a self-assessment.
Students in three classes (n = 48) wrote an essay explaining blood circulation for a child who would construct a model with appropriate materials to represent different parts of the circulatory system. The child audience was to be a fifth-grade girl who had examined the fresh heart and lung from a pig. The essay was to help the child notice different structures and to explain their different functions. The terms oxygen, red blood cell, capillary, vein, artery, hemoglobin, lymph, ventricle, atrium, and heart were required for full credit. The work was to show empathy for the child's observations, and the writing was to be clear, persuasive, organized, and free from language or grammatical errors. Calibrated Peer Review was used to collect student essays and to manage the anonymous peer review after students "passed" three calibration peer reviews (5).
Knowledge Integration Environment and debates.
Students in two classes (n = 40) used the Knowledge Integration Environment to prepare classroom debates about the human blood pathway and gas exchange in the lungs. One assertion for each debate was an erroneous idea expressed by many of the prospective elementary teachers in our pilot study, whereas the opposing assertions provided a more accurate description of circulatory function. The use of common student ideas as the assertions to be debated helped engage a diversity of students as they grappled with meaning at their own levels of understanding about the blood pathway, gas exchange, and factors that influence the rate of carbon dioxide elimination. Students prepared by looking for evidence to defend or refute both sides of each debate. On the day of the debates, students were randomly assigned to defend one side or assertion for each debate.
DEBATE 1: BLOOD PATHWAY.
For the first debate, students traced the pathway of the blood as it leaves the heart and goes throughout the body. They were encouraged to understand the human circulatory system as a transportation system for the body. Before looking at the evidence, they considered two opposing assertions:
Evidence from William Harvey's experiments was provided along with other textbook resources (3):
DEBATE 2: GAS EXCHANGE.
For the second debate, students considered what happens when they breathe and as blood travels through the lungs. Before looking at the evidence, they considered two opposing assertions:
Exam Assessments
An essay exam asked students for an explanation of human blood circulation and how blood facilitates exchange between the body and the external environment. For full credit, they had to include information on 1) the pathway the blood follows, 2) gas exchange when the blood courses through the lungs, 3) some details about gas exchange when the circulatory system interacts with other body systems, and 4) an example of how the circulatory system responds to changing conditions.
As part of the final exam, an interview was conducted using the same pretest drawing prompt (1). Students first drew and wrote about lung and blood function. They were then individually interviewed about their drawings in a quiet room. The following seven questions were developed and modified in our pilot study to elicit details of each student's mental model of human blood circulation:
Only the following probes were used if needed to prompt students to clarify their ideas without introducing new information:
| Acknowledgments |
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M. Hoover and J. Rojas are working on doctoral degrees in science education at the National Key Centre for Science and Mathematics Education of Curtin University of Technology in Perth, Western Australia. D. Boyd was a graduate student at California State University-Fullerton who now teaches biology at Santa Ana College, Santa Ana, CA.
Received for publication June 14, 2004. Accepted for publication May 23, 2005.
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