The impact of student misconceptions on student persistence in a MOOC

Massive Online Open Courses (MOOCs) provide opportunities to learn a vast range of subjects. Because MOOCs are open to anyone with computer access and rarely have prerequisite requirements, the range of student backgrounds can be far more varied than in conventional classroom-based courses. Prior studies have shown that misconceptions have a huge impact on students' learning performance; however, no study has empirically examined the relationship between misconceptions and learning persistence. This study of 12,913 MOOC-takers examines how students' misconceptions about the upcoming course material affect course completion. Using a survival analysis approach, we found that, controlling for the score in a pre-course test, students holding more misconceptions had a higher dropout rate at the start of the course, an effect that diminished over time. Other student variables were found to have a positive impact on survival that persisted throughout the entire course: U.S. location, higher age, an intention to complete, better English skills, prior familiarity with the subject, motivation to earn a certificate, and score and time spent on the previous problem set (homework). By contrast, student gender, education level, number of previous MOOCs completed, and motivation to participate in online discussion forums did not affect survival.     

Communication patterns in computer mediated versus face-to-face group problem solving

Research has shown that when group problem solving is computer mediated, communications become more task oriented with clearer role expectations, while face-to-face communications are more cohesive and personal. None of this research has examined those patterns of interactions in terms of the problem solving activities engaged. In this study, we compared the perceptions of participants, the nature of the comments made, and the patterns of communication in face-to-face and computer-mediated groups in terms of problem-solving activities while solving well-structured and ill-structured problems. The quantity of messages in the computer conference was smaller but more task related than in the face-to-face conversations because participants reflected more on ideas and perspectives in reaching their decisions. A cluster analysis of communication patterns showed that computer-mediated group decisions more closely resembled the general problem-solving process of problem definition, orientation, and solution development as group interaction progressed, while the face-to-face group interactions tended to follow a linear sequence of interactions. Participants who solved problems through computer conferencing were more satisfied with the process and believed that there was a greater quality in the problem-solving process.     

Relationships between formal-operational thought and conceptual difficulties in genetics problem solving

Seventy-one college general biology students were taught a unit in Mendelian genetics by the traditional lecture method. Emphasis was placed on meiotic formation of gametes, the Law of Segregation, and the Law of Independent Assortment. The Punnett-square model was used for all practice problems. Eight weeks later, a content-validated retention test was given to evaluate the students' retention of problem-solving skills. The test required students to use proportional reasoning (identifying ratios from the Punnett squares), combinatorial reasoning (identifying combinations of gametes from parental genotypes), and probabilistic reasoning (estimating gamete or offspring probabilities). Each of the 71 students was also given three Piagetian interview tasks to evaluate intellectual development in the areas of reasoning under question. The balance-beam task, the electronic switch-box task, and colored squares and diamonds were used to test for proportional reasoning, combinatorial reasoning, and probabilistic reasoning, respectively. Pearson correlations and factor analysis failed to show direct relationships among Piagetian tasks for the three kinds of reasoning and their corresponding occurrence in genetics problems. Some correlations were higher between different reasoning types than between similar types. Analysis of variance showed significant differences for all three reasoning types among concrete-operational, transitional, and formal-operational students with the retention test. Post-hoc analysis of ANOVAs indicated that formal-operational students had significantly more success in the three reasoning areas than transitional students, and transitional students had significantly more success than concrete-operational students.     

Student misconceptions, declarative knowledge, stimulus conditions, and problem solving in basic electricity

Previous research has indicated that students' prior inaccurate conceptions about physical concepts interfere with the solution to physics problems and the acquisition of new concepts. In the present study, the effects of students misconceptions, declarative knowledge, and stimulus conditions on student solution to a problem in basic electricity were investigated. The results indicated that students performance was influenced by their knowledge of relevant declarative facts and the stimulus conditions of the experiment as well as by their models (or misconceptions) of the electrical situations. The theoretical and educational implications of the findings are discussed.     

A problem solving model for use in science student teacher supervision

Conclusion The period of time student teachers have to receive feedback from their supervisors and cooperating teachers is relatively short. Techniques and ideas suggested by university supervisors and cooperating teachers are clearly beneficial to beginning teachers, but the students also need direct experience in addressing classroom concerns themselves. Student teachers need to develop techniques for evaluating their own teaching and for solving instructional problems autonomously such as suggested through the use of this model. The problem solving model forces student teachers to take responsibility for their learning about teaching. It forces them to analyze and reflect on their own lessons and to deal with their own problems. Importantly, the model may serve as a tool for self-evaluation that can be used during students’ first few years of teaching and throughout their science teaching career. Student teachers will still undergo the complex and sometimes overwhelming experience of teaching for the first time. However, by addressing each problem they face in a systematic, organized way, the experience may become more manageable, and success may seem more attainable for them.     

Cognitive development,genetics problem solving,and genetics instruction: A critical review

Recent studies have analyzed the cognitive demands of solving problems in genetics, focusing primarily on the Piagetian schemas of combinations, proportions, and probability. Based on data from these primarily correlational studies, some authors have argued for the elimination of classical genetics from the high school curriculum. The critical review of the literature presented in this article reaffirms that formal-operational thought is conducive to successful genetics problem solving. The weight of the evidence to date, however, does not support the position that formal operational thought is strictly required for solving typical genetics problems. Arguments are therefore presented in support of the inclusion of genetics and genetics problem solving in high school biology. Implications of this analysis for the selection of appropriate content, problems, and instructional techniques for genetics instruction for nonformal students are presented.     

Making sense of genetics: Students' knowledge use during problem solving in a high school genetics class

Interest in including ideas about the nature of science in instruction and research has led to the realization that, in addition to developing courses which offer students experience with science practice, it is important to understand the ways in which students learn and use science knowledge within such courses. The study reported here is based on a particular view of the nature of scientific practice: Science is collaborative; scientists use knowledge in the construction of new knowledge; and scientists' understanding of problems and problem-solving strategies change during knowledge construction. Given this perspective, the study examines the ways in which students in an innovative high school genetics class collaborate to construct knowledge as they develop genetics models. In this classroom, students use three kinds of knowledge: knowledge of genetics, permitting them to recognize anomalous aspects of new data and providing a template from which to develop new models; knowledge of the process of model revision, helping them make decisions about how to develop new models; and knowledge of their own problem-solving strategies, allowing them to “keep track” of what they have done, as well as make connections between the development of new models and their knowledge of genetics. © 1996 John Wiley & Sons, Inc.     

Manipulatives and number sentences in computer aided arithmetic word problem solving

In this study we investigated the relative contribution of two main components often used in the instruction of arithmetic word problem solving to first-grade children and children with learning problems, external representation with manipulatives and formal mathematical representation with number sentences. Four computer aided treatments were developed along these dimensions. Furthermore, an assessment control group was formed.It was shown that performance improved significantly after treatment in comparison to the performance of the assessment control group. Comparison of the different training conditions showed that a number sentence treatment was the most effective training component. However, this effect was only present with the relatively high competent children and not with the relatively low performing children.     

Assessing problem solving in mathematics: Some variables related to student performance

A mathematical problem is defined here as a question not dependent on specific syllabus content, and one sufficiently new to the student such that it cannot be solved by a previously known method. With increased attention being paid to this type of mathematical problem solving at the primary school level, the need for reliable and valid methods of assessment has become more apparent. This paper reports the results of using a new problem solving test, developed for use in the upper primary school, with 371 students in Years 4,5 and 6 at government schools in Melbourne. Particular attention is given to the effects of year level, sex and the method of test administration on student performance for different types of items and different problem solving processes. The performance of Year 4 students was generally lower than that of other students, but differences were small for most items and processes between Years 5 and 6. Although most of the differences in performance between the sexes were not significant, the girls had higher scores than the boys for the total score, for all processes and for all items except the spatial item. The method of administration was important for performance, especially for the girls. The marking schedule developed enabled high intra- and inter-marker reliabilities to be obtained.     

Addressing student misconceptions concerning electron flow in aqueous solutions with instruction including computer animations and conceptual change strategies

The effects of both computer animations of microscopic chemical processes occurring in a galvanic cell and conceptual change instruction based on chemical demonstrations on students' conceptions of current flow in electrolyte solutions were investigated. Preliminary results for verbal conceptual questions suggest that conceptual change instruction was effective at dispelling student misconceptions that electrons flow in aqueous solutions of electrochemical cells. Computer animations did not appear to have an effect on students' responses to visual or verbal conceptual questions. An animation/conceptual change interaction for verbal conceptual questions suggests that animations may prove distacting when the questions do not require students to visualize. Data from this study also suggests that lecture attendance and recitation participations helped students answer visual questions.     

A content analysis of student/instructor communication via computer conferencing

The focus of this study centers upon an analysis of instructor and student postings on the Electronic Forum (EF) during a one-semester undergraduate phonetics course. Sixty-one students were invited to participate in a class computer conferencing project to discuss questions about the course content and assignments, share ideas with others, and respond to comments made by their peers and the instructor. The content of each student's and instructor's posting was analyzed to determine the number and type of topics discussed. Students wrote about 340 topics in 143 postings; the instructor wrote 124 topics in 23 postings. These topics were placed in categories and analyzed with respect to the postings made during the first and second half semester. Four interactive communicative Category Clusters were identified. These Clusters show interaction trends between students and instructor and resulting accommodations made by both students and the instructor. The advantages of using an electronic forum to enhance student learning, to improve classroom activities, and to empower students to take more active roles in their learning, are discussed.     

影响学生创造性问题解决的心理因素及解决对策

创造性问题解决是创造性活动的综合体现，它除了受问题解决的创造力、创造性思维水平等智力因素影响外，非智力因素也决不能忽视。特别是对于身心飞速发展的中学生来说，关注在创造性问题解决过程中影响他们的各种心理因素，培养他们健全的心理品质就显得尤其重要。这也是注重学生全面发展，培养新时代创新人才的应有之义。     

A computational model of student cognitive processes while solving a critical thinking problem in science

Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting with critical thinking during a student’s attempt to solve the Piagetian task. The purpose of this computational ablation study is to establish the role of critical thinking as a necessary component of a system of cognition used for the completion of the Piagetian volume conservation task. This ablation study consists of three phases. The confidence interval between the ablation model and the elementary students do not overlap, indicating they are not statistically significantly different. This provides evidence that the model successfully emulates aspects of human cognition and the model can provide a robust picture of science student cognitive processes.     

Using case discussion on the web to develop student teacher problem solving skills

To help student teachers solve real world problems during their internships, support from multiple sources is needed. In this study, a website was developed to provide support for student teachers by sharing cases and personal experiences. Student teachers exchanged comments about posted cases with both peer student teachers and experienced teachers. After 2 months of using the web for case discussion, questionnaires were distributed and interviews were conducted with a group of 20 student teachers. The results suggested that such an exchange helped them to increase their understanding of problems, to obtain knowledge and skills to solve problems, and to gain positive attitudes towards teaching as a profession.     

Student perceptions of student perception of module questionnaires: questionnaire completion as problem solving

A sample of 202 students filling in a student evaluation of teaching (SET) questionnaire were asked to complete another questionnaire asking about the specific reasons for awarding a score to the specific SET questionnaire items. The aim was to find out what influenced students' judgements on those items. It was found that students' interpretation of some questions differed from the ‘expected’ interpretation. Several factors, such as the placing of questions and the salience of items retrieved from memory, could influence a score. It was also found that asking for an explanation improved scores overall. The conclusions were that questionnaire completion could be understood as a form of problem solving and judgement under uncertainty. The specific heuristics used led to variability in students' interpretation of the task.     

Identification of effective visual problem solving strategies in a complex visual domain

Students in complex visual domains must acquire visual problem solving strategies that allow them to make fast decisions and come up with good solutions to real-time problems. In this study, 31 air traffic controllers at different levels of expertise (novice, intermediate, expert) were confronted with 9 problem situations depicted on a radar screen. Participants were asked to provide the optimal order of arrival of all depicted aircrafts. Eye-movements, time-on-task, perceived mental effort, and task performance were recorded. Eye-tracking data revealed that novices use inefficient means-end visual problem solving strategies in which they primarily focus on the destination of aircraft. Higher levels of expertise yield visual problem solving strategies characterized by more efficient retrieval of relevant information and more efficient scan paths. Furthermore, experts' solutions were more similar than intermediates' solutions and intermediates' solutions were more similar than novices' solutions. Performance measures showed that experts and intermediates reached better solutions than novices, and that experts were faster and invested less mental effort than intermediates and novices. These findings may help creating eye-movement modeling examples for the teaching of visual problem solving strategies in complex visual domains.     

Meaningful learning,reasoning ability,and students' understanding and problem solving of topics in genetics

The purpose of this study was to explore relationships among school students' (N = 189) meaningful learning orientation, reasoning ability and acquisition of meaningful understandings of genetics topics, and ability to solve genetics problems. This research first obtained measures of students' meaningful learning orientation (meaningful and rote) and reasoning ability (preformal and formal). Students were tested before and after laboratory-based learning cycle genetics instruction using a multiple choice assessment format and an open-ended assessment format (mental model). The assessment instruments were designed to measure students' interrelated understandings of genetics and their ability to solve and interpret problems using Punnett square diagrams. Regression analyses were conducted to examine the predictive influence of meaningful learning orientation, reasoning ability, and the interaction of these variables on students' performance on the different tests. Meaningful learning orientation best predicted students' understanding of genetics interrelationships, whereas reasoning ability best predicted their achievement in solving genetics problems. The interaction of meaningful learning orientation and reasoning ability did not significantly predict students' genetics understanding or problem solving. Meaningful learning orientation best predicted students' performance on all except one of the open-ended test questions. Examination of students' mental model explanations of meiosis, Punnett square diagrams, and relationships between meiosis and the use of Punnett square diagrams revealed unique patterns in students' understandings of these topics. This research provides information for educators on students' acquisition of meaningful understandings of genetics. © 1996 John Wiley & Sons, Inc.