What are Middle School Students Talking About During Clicker Questions? Characterizing Small-Group Conversations Mediated by Classroom Response Systems
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There is a growing interest in using classroom response systems or clickers in science classrooms at both the university and K-12 levels. Typically, when instructors use this technology, students are asked to answer and discuss clicker questions with their peers. The existing literature on using clickers at the K-12 level has largely focused on the efficacy of clicker implementation, with few studies investigating collaboration and discourse among students. To expand on this work, we investigated the question: Does clicker use promote productive peer discussion among middle school science students? Specifically, we collected data from middle school students in a physical science course. Students were asked to answer a clicker question individually, discuss the question with their peers, answer the same question again, and then subsequently answer a new matched-pair question individually. We audio recorded the peer conversations to characterize the nature of the student discourse. To analyze these conversations, we used a grounded analysis approach and drew on literature about collaborative knowledge co-construction. The analysis of the conversations revealed that middle school students talked about science content and collaboratively discussed ideas. Furthermore, the majority of conversations, both ones that positively and negatively impacted student performance, contained evidence of collaborative knowledge co-construction.
KeywordsClassroom response systems Small-group discussions Collaboration
Clickers are a type of instructional technology that allows instructors to gauge students’ real-time performance in the classroom. Typically, instructors pose conceptual questions in multiple-choice format at several points in the class period and students respond to the question or vote on the answers using clickers. Clicker questions are thought to support learning because they break up periods of lecture into smaller chunks, provide students with opportunities to practice solving problems and monitor their understanding during class, and can serve as a formative assessment tool for instructors. In one commonly used mode known as peer instruction, students answer a question individually, discuss the question with their peers, and answer the question a second time (Mazur 1997). The instructor then leads a class discussion eliciting answer choices and asking students to justify their chosen responses without revealing which choices are correct. Finally, the instructor explains the question and often shows a histogram of all student responses, which gives both instructor and student immediate feedback on how well a concept is understood.
In recent years, clicker use has become common in K-12 and university science courses; however, the majority of the research to date has focused on university-level instruction (e.g., Crouch and Mazur 2001; Crossgrove and Curran 2008; Smith et al. 2009). Although it seems plausible that a technology that promotes peer discussion in one setting may do so in another setting, little is known about clickers at the K-12 level and how they may be used to promote discussion and student learning in precollege science classrooms. To date, the work in the K-12 setting has explored teacher impressions of using a clicker system in the classroom (Stewart and Stewart 2013) and student and teacher perceptions of their effectiveness (Penuel et al. 2007; Kay and Knaack 2009).
Use of Clickers at the University Level
Clicker Effectiveness Studies
Clicker studies in university-level science courses have largely focused on student performance in classes taught with and without clickers or other audience polling devices (e.g., colored cards for different answer choices). While some studies show differences in student achievement when clicker questions are asked (e.g., Crouch and Mazur 2001; Crossgrove and Curran 2008; Fagen et al. 2002; King and Joshi 2008; Lasry et al. 2009), others have not (Addison et al. 2009; Doty et al. 2006). Conflicting results may be due to the difficulty in performing these types of comparison studies, which can be confounded by differences in class size, cognitive level of questions, class composition, and instructor (Crossgrove and Curran 2008). Nonetheless, studies of student attitudes show that students have positive feelings about using clickers (e.g., Addison et al. 2009; Caldwell 2007; Crossgrove and Curran 2008), and assigning participation points to encourage students to answer clicker questions improves class attendance and provides structure for at-risk students (Freeman et al. 2007).
Learning Benefits of Peer Discussion During Clicker Questions
Researchers have also investigated whether undergraduate students improve their performance on clicker questions after discussing questions with peers. When instructors use the peer instruction approach described above, the frequency of correct answers often increases after peer discussion (Mazur 1997; Crouch and Mazur 2001; Knight and Wood 2005; Smith et al. 2009). Two commonly discussed hypotheses could explain this observation: (1) active engagement of students during peer discussion with peers leads to increased conceptual understanding, or (2) students simply choose the answer most strongly advocated by adjacent peers who seem to know the correct answer. In order to distinguish between these hypotheses, one experimental approach, which was also used in this study, has students first answer a multiple-choice concept question individually, engage in a discussion with peers, answer the same question again, and then answer a second matched-pair question individually (Smith et al. 2009, 2011). Matched-pair clicker questions are question sets that ask about the same concept, but in slightly different contexts. Studies using matched-pair questions have shown strong support for the first hypothesis (Smith et al. 2009; Porter et al. 2011); furthermore, students show the greatest gains in performance if they are able to first engage in a peer discussion and then immediately listen to an instructor explanation (Smith et al. 2011). This result is consistent with previous findings, showing that student engagement in a learning activity, such as answering questions, predisposes them to learn from a subsequent lecture (Schwartz and Bransford 1998).
In addition to monitoring student performance on clicker questions, recent studies have focused on the nature of the peer discussion. For example, James and Willoughby (2011) recorded peer conversations in introductory university-level astronomy courses to determine whether students had “standard conversations,” which were defined as involving at least one student in a peer group discussing a minimum of one multiple-choice answer and the student answers were aligned with the articulated ideas of the group. They chose this definition because it matched the idealized productive conversations imagined by the course instructors. The authors labeled conversations that did not meet this definition as “nonstandard” and found this category described the majority of the conversations (62 %). Nonstandard conversations included: (1) incorrect ideas that were not anticipated by the instructors, (2) statistical feedback that misrepresents student understanding, such as searching for cues in the questions phrasing, and (3) conversation pitfalls. The conversation pitfalls included instances in which one student passively deferred to another student (5.3 % of the conversations) and instances in which the answer appeared self-evident such that the conversation concluded prematurely (8.9 % of the conversations). The results of the study raise a question: Are these “nonstandard” conversations unproductive or is there something redeeming within them? Answering this question requires an in-depth examination of the character of peer discussion, with an emphasis on the collaboration of multiple students as they discuss science content.
In another study, Knight et al. (2013) investigated peer discussions among students in an upper-division university-level biology course. Specifically, this study focused on turns of talk, coding student conversations for elements of arguments: claim, reasoning, questioning, and background (Driver et al. 2000; Osborne et al. 2004). The authors of this study also coded the conversations based on the quantity of warrants exchanged on a scale from no reasoning statements to multiple students exchanging reasoning. They showed that the majority of students exchanged reasoning and provided evidence for their ideas. Furthermore, students were more likely to have high-quality discussion of the questions when the instructor provided reasoning-centered cues such as “Discuss your answers with your table, and focus on the reasons for your answers. Then, I’ll ask you to share your reasons.”
Knowledge Co-construction in Peer Discussion
To build on previous work examining peer discussion during clicker questions and extend it into a new educational setting, we analyzed middle school student performance on clicker questions and simultaneously examined the nature of their peer conversations. When examining their conversations, we focused on the collaborative way scientific knowledge can be supported using this technology, building on calls for more rigorous investigations of pedagogical approaches to implementing clicker questions in K-12 classrooms (Beatty and Gerace 2009).
Specifically, we analyzed the peer discussion using a Vygotskian perspective in which assumed peer interactions would contribute to the co-construction of knowledge. During peer interactions, students may build on their own understanding or on the idea of a peer, and there may be some negotiation and/or co-construction of ideas (Hatano 1993). Through this process, students may clarify their thinking and respond to, add to, and connect with each other’s ideas in order to collaboratively build knowledge that may not have been available before they began working together (Hogan et al. 1999). The result of this process may be a change in students’ thinking. Our use of knowledge co-construction builds on previous work where this perspective has been applied to classroom discourse and open-ended interview settings (e.g., Berland and Lee 2012; Engle and Conant 2002; Roschelle 1992).
We focused on applying knowledge co-construction to peer discussions during clicker questions because the conversations are short, often on the order of a few minutes, and are sparked by conceptually challenging multiple-choice questions (Mazur 1997). The questions are typically constructed with appealing plausible alternatives that align with common conceptual difficulties or misconceptions. Furthermore, students know that at the conclusion of the conversation, they will need to choose the answer they think is correct, and there is a reasonable expectation that they will receive immediate feedback from the instructor. Built into the task is the assumption that peer discussion facilitates a change in thinking. Indeed, after the conversations, students often have an opportunity to re-answer the prior question thereby explicitly needing to make a decision about choosing the same or a different answer. Finally, these conversations are typically characterized by student discourse for an allocated period of time that is unstructured and unmediated by teacher input. As a result of these characteristics of peer discussion, students are expected to be collaborating and co-constructing ideas, suggesting that this framework is a reasonable for this setting.
Given the constraints associated with peer conversations, we aimed to characterize the kind of collaborative knowledge co-construction that occurred in this middle school environment. In this setting, we anticipated that the conversations would pertain to the content of the multiple-choice questions posed and that the conversations would contain contributions by multiple individuals. Specifically, we anticipated discourse moves on the part of the students that contributed to the knowledge co-construction. Furthermore, we expected these discourse moves to contribute to changes in thinking about the relevant science content.
In addition, we investigated two concerns about using clickers in the K-12 classroom. First, groups of students might be off task during peer discussion, which is problematic because it implies an unproductive use of classroom time (Lee et al. 2012). Second, groups of students discussing clicker questions might have one individual who tells peers the answer without engaging them in a productive discussion. For instructors looking to implement peer conversations within the constraints of K-12 classrooms, further research is needed on how often these pragmatic concerns are realized.
Broadly, we investigated whether middle school science students have productive peer discussions during clicker use. Our particular research questions were: (1) Does the percentage of correct responses on clicker questions improve after students discussed questions with their peers? (2) What are the characteristics of knowledge co-construction in student peer conversations during clicker questions, and do certain characteristics relate to student performance? (3) Are some of the previously mentioned concerns about clicker use, namely off-topic conversations or one student telling the others the answer without engaging in a conversation, common in a middle school setting?
The first research question is addressed in Analysis I and is important as a baseline for how these middle school students performed and allows for a comparison with the existing results in the literature. The second research question is addressed in Analysis II, in which we examine peer conversations in terms of contributions to the science content from multiple individuals, acknowledgment of ideas, asking questions, and revision of ideas, and connect these features to student performance. The third research question is addressed in Analysis III, in which we examine whether the previously mentioned concerns about peer conversations materialized. Addressing these research questions is important because of the potential to inform and refine the pedagogical approaches employed when implementing clicker questions in K-12 classrooms. In addition, this work will help move the field beyond questions about clicker efficacy and toward questions about how to encourage productive peer discussion among students at a variety of educational levels.
Data Collection: Participants
Data were collected from three teachers’ classrooms, representing eight sections of middle school physical science. The school was located in rural, northern New England. Forty-eight percent of students in this school district were eligible for free and reduced lunch, higher than the state average. Two of the teachers transferred to other schools after the first year of the study; therefore, we collected two academic years worth of data from one teacher and only one year from the other two teachers. All three teachers were using the Project Based Inquiry Science Curriculum (Kolodner et al. 2010) for physical sciences. The data collection occurred after students had been formally taught the material, and thus, the intent was for the questions to cover material that was familiar to the students.
One-hundred and thirty-four students (70 male, 64 female) participated in the study. They answered between two and four sets of multiple-choice clicker questions individually for a total of 250 data points. During peer discussion opportunities, students worked in groups of 2–5, and a total of 72 small-group peer conversations were recorded. All student groups were designated by the teacher. We did not specify how teachers should form the groups, but found they did so largely to minimize disruptions in the classroom. Since we were interested in what the students could learn from one another, we asked teachers to only intervene in student discussions if needed to maintain order.
We used both quantitative and qualitative approaches in order to examine student performance on clicker questions and evidence for co-construction during peer discussion. A matched-pair clicker question design was used (e.g., Smith et al. 2009), and all student peer discussions during clicker questions were audio recorded.
Questions (Q1/Q1AD and Q2) were randomized using a coin flip to decide which question would be asked initially and which would be asked as a matched-pair question (Q2). Throughout this paper, these questions are referred to by the science content topic: thermal energy, kinetic energy, electrical energy, and forces. There were no incentives given to students for participating in the voting and discussions associated with these questions; however, students were accustomed to discussing questions as part of the Project Based Inquiry Science Curriculum (Kolodner et al. 2010), but were new to the use of clicker questions.
A digital voice recorder was placed at each desk to record the student peer conversation about Q1. The clickers were assigned to each student, so when listening to the audio files, we knew the number of students sitting together, and each student’s clicker performance.
For the quantitative analysis, all statistical analyses were performed with SPSS (IBM, Armonk, NY) or Excel (Microsoft, Redmond, WA).
To analyze peer conversations during clicker questions, we used a grounded approach (e.g., Glaser and Strauss 2009; Shkedi 2005) that focused on evidence for collaborative knowledge co-construction. To conduct this analysis, we transcribed all of the peer discussions, read through each conversation, and generated initial elements of collaborative knowledge co-construction in each conversation. The unit of analysis was the group discussion related to each of the four clicker questions. There were 72 conversations, with an average length of time on task of 57 ± 36 s. We then discussed the initial elements with the research team, and through these discussions, consensus emerged about documenting similar elements of co-construction including: contributions to the science content from multiple individuals, acknowledgment of ideas, asking questions, and revision of ideas. Each of these elements of co-construction is described in more detail below.
Contributions to the Science Content from Multiple Individuals
Prior research has acknowledged the benefits of collaborative group discussion in which multiple individuals contribute ideas (Dillenbourg 1999; Stahl 2006). In collaborative group discussions, ideas are shared, explored, modified, improved, and expanded upon by multiple individuals. By emphasizing contributions to the science content from multiple individuals in the analysis, we explicitly distinguish among situations in which one student tells peers an answer (correct or incorrect) and situations in which multiple students contribute to the science content. For this element, we are not evaluating the accuracy of any individual’s contribution or when individuals tell their peers incorrect answers. Rather, when coding for this element, we focused on whether or not multiple students made verbal statements about the science content. It was not sufficient for multiple students to say only “yes” or “no” or to mention their choice for the multiple-answer question. Here is an example of a conversation about the forces on a propeller car moving at constant speed in which two students discussed the science content: “Student 1: I think its C. Student 2: Yeah. S1: Because there’s friction and like the wind and the air. S2: I just always pick C when I don’t know the answer. S1: Same here. S2: And it can’t be equal [Answer E]. S1: Yeah. S2: Because it’s moving forward so there is more force forward. S1: Yup. S2: What are you thinking? S1: Yes.”
Acknowledgment of Ideas
For knowledge co-construction to be successful, students need to listen to one another and not talk past each other; students need to acknowledge their own ideas and those of peers. Students need to listen to each others ideas with the aim of eventually incorporating these ideas into their own thinking. Less important is evaluating the correctness or incorrectness of other ideas. Practically, in the analysis, we were interested in instances when a student mentioned his or her own ideas or a peer’s ideas. Mentioning other ideas could involve evaluating the correctness or incorrectness of a statement or stating some uncertainty or a hole in one’s thinking. For instance, in this conversation about the same propeller car question, the second student in this excerpt points out a hole in her thinking while acknowledging the first student’s idea: “Student 1: I said D because it’s going at a constant speed. [Laughter] Student 2: Oh, I forgot about that.” And, in this next statement, also about the propeller car, a student acknowledges a hole in her own thinking: “Student 1: Yeah, I thought it was going to be the overall forward force, but it’s not speeding up so …” In these examples, students acknowledged peers’ or their own ideas and this could instigate contributions to the science content from multiple students.
Asking a Question About Science Content
Additionally, for successful knowledge co-construction, students need to ask questions. Asking questions is one of the eight practices highlighted as essential elements in K-12 science curriculums (NGSS Lead States 2013). Questioning helps develop habits of mind and is an important part of scientific literacy and helpful in the growth of scientific knowledge. Asking questions can lead to modifications in a student’s understanding and, in the case of peer discussion, can lead to a change in answer choice. Less important is the nature of the question, open or closed, and whether the question is on or off the main science content topic. In the analysis for this element, we focused on questions explicitly about the science content (e.g., “Did you pick number two because of the temperature?”). If a student simply asked about answer choice (e.g., “What did you pick?” “Why did you pick C?”), the question was not counted in this element because our goal was to capture questions that could support contributions to the science content from multiple students.
Revision of Ideas
Finally, for knowledge co-construction in this setting, it was insufficient for there to simply be discourse in which multiple people contribute ideas; there needed to be some revision of ideas. Revision is important due to the nature of clicker conservations. Students are typically first asked to answer a question individually, and then, after the peer discussion, they are given an opportunity to stick with their initial answers or revise their answers. Therefore, a fundamental instructional goal of peer discussion is for students who may have initially chosen an incorrect answer to revise their answers based on what they learned (Mazur 1997). We expected that there will be both revision in the direction of an incorrect idea and revision in the direction of a correct idea. A recent study, using a similar experimental design, found that of the students who changed their clicker question answer, the majority of changed answers were from the wrong answer to the correct answer (Miller et al. 2015). However, given that we are less interested in correctness or evaluation, we focused on the existence of revision not necessarily the direction to the correct answer. Practically, we focused on verbal statements that implied a change in any direction about either the correct answer or the science content. We included both verbal revision of a multiple-choice answer (e.g., “I used to think it was A, now I think it’s D.”) and verbal revision of an explanation for the science content (e.g., “I used to think only temperature influences amount of thermal energy, but now I think both mass and temperature influence thermal energy.”).
These four elements capture the kind of knowledge co-construction seen in these settings given the inherent constraints. Once the elements were defined, two researchers then independently coded all of the conversations and differences were resolved through discussion. In several cases, the substance of the disagreement was due to ambiguities in the transcript and in those cases three of the researchers listened to the audio together to resolve the disagreement.
After coding all the conversations, we also investigated whether different co-construction elements were present in peer discussion where student groups improved their performance from Q1 to Q1AD. To determine which groups showed improvement, we looked at mean Q1 and Q1AD scores for each student group. Groups were labeled according to whether their mean Q1 to Q1 AD scores increased (Q1 < Q1AD), decreased (Q1 > Q1AD), or remained the same (Q1 = Q1AD). If the group’s mean Q1 was equal to 100 %, the group was labeled “ceiling.”
Finally, to address potential concerns about clickers, namely conversations that are off-topic and conversations in which one student told the rest of the group an answer with no discussion, we further examined the conversations that included none of the co-construction elements described above. We systematically read through those conversations and examined whether these conversations included any mention of science content, and if they did, how the other students in the group responded to a student offering an explanation to the clicker question.
Analysis and Results
The analysis is presented in three parts. Analysis I investigates student performance on the clicker questions. Analysis II investigates which combination of the four elements that characterize knowledge co-construction may contribute to learning gains. Analysis III examines pragmatic concerns about using clickers in a middle school setting such as off-topic conversations or a student stating an answer without engaging peers in a conversation.
Analysis I: Gains from Individual and Pooled Data
Students’ Individual Performance
Aggregate Peer Conversations by Gains
Analysis II: Qualitative Analysis of Peer Discussions
Relative frequency of each element of knowledge co-construction across all conversations
Total (n = 72)
Increase (n = 26)
Decrease/remained the same (n = 43)
Ceiling (n = 3)
Contributing to science content from multiple individuals
Statements suggesting that multiple students contributed to the science content
Acknowledgment of ideas
Statements that contained instances when a student mentions his or her own ideas or a peer’s ideas
Asking a question about science content
Statements that included questions explicitly about the science content, not questions about answer choice
Statements that implied a change in any direction about either the correct answer or the science content
We were also interested in whether groups of students who improve their performance from Q1 to Q1AD included different elements of knowledge co-construction in their conversations (Table 1). For this analysis, we combined groups that decreased and remained the same from Q1 to Q1AD because the peer discussion did not improve the overall performance of the group. When comparing the increase and decrease/remained the same groups, the largest difference was in revision. Eighty-five percent of the conversations that showed an increase from Q1 to Q1AD included revision, whereas only 26 % of the conversations that decreased or remained the same from Q1 to Q1AD included this element. This difference is potentially important as revision might capture the essence of peer conversations.
Comparing these two annotated examples, there were differences as the peer discussion leading to an increase in performance contained four elements, while the peer discussion leading to a decrease in performance contained only two elements. While these two conversations do not represent the entire corpus of conversations leading to either performance increases or decreases, they do serve as illustrative examples showing how conversations with more elements could be richer.
Analysis III: Concerns About Peer Discussion
Next, we examined whether some of the previously mentioned concerns about peer discussion, namely that students are off-topic or conversations involve one individual who tells peers the correct answers (Lee et al. 2012), materialized in this middle school setting. For this analysis, we investigated the 13 conversations that included none of the co-construction elements.
Three of these 13 conversations had no meaningful conversation about science content at all, meaning that out of the 72 conversations, only three of them had no meaningful science content. For example:
Student 1: D, what did you get? Student 2: I did D. S1: I did D too. S2: Is that what you did? S1: So, D. S2: I like how we don’t even discuss a lot. It’s diff. S1: Obvious.
In the remaining 10 conversations, we found a reoccurring pattern where a student stated an answer and explanation to the question and the other students did not engage in a conversation beyond noting that the student said something. For example:
Student 1: I said C because the propeller is moving so like it would because of like friction and everything like the propeller moving and the wheels moving would make it go forward. Student 2: Yeah.
Importantly, only 3 of these 10 conversations resulted in groups improving their performance from Q1 to Q1AD. Therefore, the concern that increases in student performance are simply due to one student telling peers the correct answer is not supported in our data set. This result is promising given that these students had no training in effective peer conversations during clicker questions, the teachers were not involved in the conversations, and the students were not given any incentives.
Discussion and Conclusion
In this study, we found that middle school students improve their performance on clicker questions when they engage in peer discussion (Fig. 2). These results are consistent with other studies that show similar trends in undergraduate science classrooms (e.g., Smith et al. 2009, 2011; Crouch and Mazur 2001). Given that these students had no clear incentives for participation (e.g., academic credit) and were new to this type of peer instruction, our results suggest that there is considerable potential for productive clicker use in the middle school environment. Indeed, one might expect even better results if clicker use were more integrated into the classroom culture in an ongoing manner that rewarded students for their participation.
In addition, we found that middle school student groups typically used multiple knowledge co-construction elements, even when their conversations are not associated with increases in clicker performance, although there were differences in the frequency of the elements (Table 1; Fig. 4). Across clicker performance, there was a noticeable difference in revision, and examining the source of this difference may be a useful direction for future work given the importance of revision to peer instruction. Moreover, we found that the majority of conversations included some meaningful science discussion and therefore can be considered to be on topic. We also found that the previously discussed concern about performance increases solely due to one student telling peers the answer was not supported by our data set. These two concerns have often been voiced as reasons for not implementing peer conversations in the classroom (Beatty and Gerace 2009). Results from the present investigation provide evidence that should mollify these concerns as we have shown that middle school students, even those without prior experience using clickers, had conversations that were on topic and there was some co-construction of knowledge.
Given our data corpus and analysis methods, there are a few limitations. Our analysis did not take into account the changes in conversations over time, the quality of knowledge co-construction, and the cross-pollination of ideas from one group to another. Similarly, we did not analyze issues of timing and whether some peer conversations were on topic for more or less time. Also, given the study design, there is the possibility of transfer from Q1 to Q2, which may explain why groups whose mean remained the same from Q1 to Q1 AD gained from Q1 to Q2. These are important issues to consider, and we would encourage future work to delve deeper into the nature of revision within peer conversations as connected to issues of timing.
Importantly, this work raises a question about the role of clicker questions in supporting learning through knowledge co-construction in classroom environments. Although classroom factors were not a central part of our study, we would encourage future work to examine classroom factors that may contribute to learning gains and knowledge co-construction. Specifically, what teachers could do to scaffold knowledge co-construction in this setting and other aspects of the classroom environment. Teachers could focus on conversation quality, the temporal dimension of these conversations, and the cross-pollination of ideas, all of which may contribute to knowledge co-construction and learning gains. Given the larger literature in science education examining student discourse in small-group settings that involves collaborative knowledge co-construction (e.g., Hogan et al. 1999), this future research direction would also involve examining how peer conversations are similar to and different from other types of classroom knowledge co-construction. We would suggest that these discussions are likely not unique, and it is important to probe the ways in which they are similar and different from other kinds of knowledge co-construction in classroom environments.
Finally, for K-12 teachers who might consider using clickers in their classrooms, results from this study can be interpreted as promising. Our data showed that middle school students with little to no prior experience with clickers, and little pedagogical support (besides encouraging them to talk to one another), learned as a result of conversation with their peers. Furthermore, in the 72 conversations we studied, we observed minimal evidence of students off task and/or circumventing discussion by simply saying the correct answer. This result suggests that most of the conversations were productive. Given that the results were obtained with students that had little to no experience with clickers, and the instructional intervention was minimal, we posit that we would observe even greater engagement and performance if students had experience engaging in clicker-mediated discussions and if teachers were actively involved in the process and knew how to best promote peer discussion. We suggest that future work in this area could investigate the role of the teacher in supporting clicker-mediated discussion as well as ways to design learning environments to maximize the potential for student learning.
The authors thank the three teachers who allowed us to collect data in their classrooms and their students for agreeing to participate in the study. We would also like to thank Bailey Brewster for her assistance with the data analysis. This material is based upon work supported by the National Science Foundation under Grant No. 0962805. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
Compliance with Ethical Standards
Conflict of interest
The authors declare that they have no conflict of interest.
Informed consent was obtained from all individual participants included in the study, and the appropriate institutional review board approved this research.
All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.
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