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1.
Comparing common mathematical errors to correct examples may facilitate learning, even for students with limited prior domain knowledge. We examined whether studying incorrect and correct examples was more effective than studying two correct examples across prior knowledge levels. Fourth- and fifth-grade students (N = 74) learned about decimal magnitude in a brief tutoring session. Students were randomly assigned to two conditions: 1) comparing correct and incorrect examples (incorrect condition) or 2) comparing correct examples only (correct condition). The incorrect condition helped students learn correct procedures and key concepts more than the correct condition, including reducing misconceptions. Students’ prior knowledge of decimals did not interact with condition. Students’ explanations during the intervention revealed that those in the incorrect condition more frequently discussed correct concepts (e.g., the magnitude of a decimal and identifying misconceptions). Overall, contrasting incorrect examples with correct examples can help students learn correct concepts and procedures.  相似文献   

2.
Learning from worked examples is an effective learning method in well-structured domains. Can its effectiveness be further enhanced when errors are included? This was tested by determining whether a combination of correct and incorrect solutions in worked examples enhances learning outcomes in comparison to correct solutions only, and whether a mixture of correct and incorrect solutions is more effective when the errors are highlighted. In addition, the effectiveness of fostering self-explanations was assessed. In Experiment 1, the participants learned to solve probability problems under six conditions that constituted a 2 × 3-factorial design (Factor 1: correct and incorrect solutions with highlighting the errors vs. correct and incorrect solutions without highlighting the errors vs. correct solutions only; Factor 2: prompting written self-explanations vs. no prompts). An aptitude-treatment interaction was found: providing correct and incorrect solutions fostered far transfer performance if learners had favourable prior knowledge; if learners had poor prior knowledge correct solutions only were more favourable. Experiment 2 replicated this interaction effect. Thus, a mixture of correct and incorrect solutions in worked examples enhanced learning outcomes only for “good” learners. In addition, Experiment 2 showed that confronting learners with incorrect solutions changed the quality of their self-explanations: on the one hand, new types of effective self-explanations could be observed, but on the other hand the amount of the very important principle-based self-explanations was substantially reduced. A possible measure to prevent this negative side effect of incorrect solutions is discussed.  相似文献   

3.
The impact of computer-based performance feedback on students’ affective-motivational state may be very different, depending on the positive or negative direction of the feedback message and its specific content. This experiment investigated whether more elaborated error messages improve students’ affective-motivational response to negative (i.e., corrective) feedback. We systematically varied the presence and complexity of corrective feedback messages (1 × 4 between-subjects design) and analyzed the effects of the provided feedback on students’ emotions, task-related perceived usefulness, and expectancy-value beliefs. University students (N = 439) worked on a low-stakes test with 12 constructed-response geometry tasks. They received either no feedback or different complexities of immediate corrective feedback after incorrect responses (i.e., Knowledge of Results [KR], Knowledge of Correct Response [KCR], or Elaborated Feedback [EF]), paired with immediate confirmatory KCR feedback after correct responses (i.e., confirming their response). Our data showed that students’ task-level performance moderated the emotional impact of feedback (i.e., beneficial effects after correct responses; detrimental effects after incorrect responses). Students’ performance further moderated several feedback effects on students’ expectancy-value beliefs. Regarding error message complexity, we found that students reported higher levels of positive emotions after receiving EF or KCR compared to KR, while only EF decreased students' level of negative emotions compared to KR and increased students' task-related perceived usefulness compared to all other groups. Overall, our results suggest that performance feedback is likely to improve students’ affective-motivational state when the feedback confirms a correct response. Moreover, when reporting an error, EF (or KCR messages) were more beneficial to affective-motivational outcomes than simple KR notifications.  相似文献   

4.
Thus far, it is unclear how students can learn most effectively from their own errors. In this study, reflections on the rationale behind self-made errors are assumed to enhance knowledge acquisition. In a field experiment with pre/post/follow-up design, the authors practiced fractions with 174 seventh- and eighth-grade students who were randomly assigned to one of two conditions: The students reflected on either the rationale behind their own errors or on the correct solution corresponding to their own errors. Students in the first condition group demonstrated a greater procedural knowledge at the posttest and at the follow-up test. Furthermore, at the follow-up test, these students demonstrated a higher conceptual knowledge. The implications for theory and school instruction are discussed.  相似文献   

5.
Experimentation is a complex problem-solving process. In biology lessons, experiments involve creative thinking and open discovery; however, they still require some degree of instructional guidance. The right balance between discovery learning and instructional guidance depends substantially on students’ prior knowledge. Students with low prior knowledge in particular might have difficulties with conducting and understanding experiments. Incremental scaffolds might be a valuable tool to meditate between pure discovery and strong guidance while simultaneously taking learners’ individual knowledge and skills into account. In the current study, we examined the effects of incremental scaffolds (IncSc), no scaffolds (NoSc), and worked-out examples (WoEx) on students’ knowledge acquisition while doing inquiry-based experimentation with a special focus on students with low prior knowledge. In a pre-posttest design, 193 students (Mage?=?13.02?±?0.81 years) participated in a four-hour teaching unit on animals’ overwintering strategies. In the pre- and posttest, we assessed the students’ conceptual and procedural knowledge. Our results partially confirmed our hypotheses: Regarding the conceptual and procedural knowledge of all students, incremental scaffolds showed no additional benefit regarding students’ knowledge in the posttest when compared to working with no scaffolds or worked-out examples. For the students with low prior knowledge, working with incremental scaffolds led to higher conceptual and procedural knowledge after the teaching unit than working with worked-out examples.  相似文献   

6.
The current study examined the effectiveness of self-explanation prompts, visual signaling cues, and a combination of the two features on middle school students’ (N = 202) algebra learning. Also explored were the differential effects of features for students with faulty conceptual knowledge (evidenced by a higher prevalence of making errors during problem solving) on learning. That is, we assessed whether students who make prevalent conceptual errors predictive of algebra performance differentially benefit from design features. Participants were randomly assigned to complete 1 of 4 sets of worked example assignments supplemented with self-explanation prompts (n = 51), visual signaling cues (n = 49), both features (n = 51), or neither feature (n = 51). Worked examples supplemented with either self-explanation prompts or signaling cues led to greater learning from pre- to posttest in comparison to the worked example control, with practically meaningful effects. The effect of assignments supplemented with signaling cues was moderated by error prevalence. Those who made errors more frequently demonstrating misunderstanding of algebraic concepts (e.g., the meaning of a coefficient) benefited significantly more from visual signaling cues alone than self-explanation prompts alone or control assignments. These findings highlight the importance of considering differential effects of design features when used in combination or in isolation, particularly for struggling students.  相似文献   

7.
Abstract

Math and science textbook chapters invariably supply students with sets of problems to solve, but this widely used approach is not optimal for learning; instead, more effective learning can be achieved when many problems to solve are replaced with correct and incorrect worked examples for students to study and explain. In the present study, the worked example approach is implemented and rigorously tested in the natural context of a functioning course. In Experiment 1, a randomized controlled study in ethnically diverse Algebra classrooms demonstrates that embedded worked examples can improve student achievement. In Experiment 2, a larger randomized controlled study demonstrated that improvement in posttest scores as a result of the assignments varies based on students’ prior knowledge; students with low prior knowledge tend to improve more than higher knowledge peers.  相似文献   

8.
Based on strong research literatures, we conjectured that social processing of feedback by cooperating in a small group setting—with social incentives to ask questions, give explanations and discuss disagreements—would increase learning. We compared group and individual feedback, using two technologies: (1) Technology-mediated, Peer-Assisted Learning (TechPALS), which uses wireless handheld technology to structure feedback in small groups as they solve fractions problems and (2) a popular desktop product, which provides feedback to individual students as they solve fractions problems individually. Three elementary schools participated in a randomized controlled experiment conducted in the 2007–2008 school year. Students in the TechPALS condition learned more than did the control group students, with effect sizes ranging from d = 0.14 to d = 0.44. Analysis of observational data confirmed that students in the TechPALS condition participated socially in questioning, explaining, and discussing disagreements, whereas students in the individual condition did not. We conclude that an integration of technology, cooperative activity designs and broader educational practices can lead to impact on students’ mathematics learning.  相似文献   

9.
10.
Interest in student engagement has increased over the past decade, which has resulted in increased knowledge about this concept and about the aspects that facilitate engagement. However, as yet, only a few studies have focused on engagement from the perspective of the teacher. In this study, we capture the experiences of teachers who were explicitly working with their teams on fostering student engagement. We used the learning history method to capture those experiences and at the same time to stimulate learning within the participating teams. A learning history includes the voices of the different participants involved in order to stimulate reflection and learning. Three teams of teachers participated in the writing of this learning history. Several teachers (n = 10), students (n = 10), and managers (n = 5) from or related to the teams were interviewed. The learning history shows that, on the one hand, teachers emphasized positive relationships and structure in relation to student engagement, yet, on the other hand, students continued to provide examples of negative relationships and mentioned a lack of structure, although they also mentioned improvements. Furthermore, the learning history showed that teachers in all teams reflected on their experiences and learned from the activities employed to foster student engagement, which included taking a more positive approach, conversations about a skills form, and being more consequent. These results taken together indicate that it is possible for teachers to do a better job of engaging their students and that their repertoire can be expanded to include more engagement-related actions. Finally, the learning history produced offers insight into the difficulties experienced by the teams. An important limitation mentioned by all teams was that teachers found it difficult to address each other’s behavior when someone did not act as agreed upon.  相似文献   

11.
Argumentation skills play a crucial role in science education and in preparing school students to act as informed citizens. While processing conflicting scientific positions regarding topics such as sustainable development in the domain of ecology, argumentation skills such as evaluating arguments or supporting theories with evidence are beneficial for developing deep understanding and well-grounded conclusions. We developed a 50-min training intervention to foster argumentation skills in the domain of ecology on topics related to sustainable development and analyzed its effects in a control-group design: (a) training intervention to foster argumentation skills (n = 41), (b) no such training intervention (n = 42). Results showed that this short-term training intervention successfully fostered three components of argumentation skills (i.e., evaluative knowledge, generative knowledge, and argument quality) and declarative knowledge about argumentation. The positive effect on declarative knowledge was stable 1 week after the training and it was mediated by learning processes during the training intervention: self-explaining the principles of argumentation underlying the video-based examples mediated the effect on declarative knowledge 1 week after the training. In short, the training intervention is an effective instructional method to enhance argumentation skills as well as declarative knowledge about argumentation.  相似文献   

12.
This paper presents a study on the reflections on their PLEs by student teachers in an ICT subject of the fourth degree course in Teacher Education (Early Childhood Teacher Training) at the University of the Balearic Islands (UIB). There were four student teacher groups (n = 117) participating in this project, from the three Balearic Islands’ campuses (Mallorca, Menorca and Ibiza). The main research issues focused on in this study are: the topics highlighted from the reflections on the students’ PLEs and the reflection level achieved. To explore these issues, a content analysis technique has been used to interpret their final assignment of the students’ eportfolios, in which they had to carry out their reflections on their PLEs. For that purpose, two instruments have been designed: a system of categories and a rubric of assessment. Results show that the topics on which students reflect most are the conception of the PLE, its explicitness and its purpose. Although some improvement in students’ reflective skills was observed, conclusions lead us to the necessity of working further on the depth of reflections in order to adequately support self-regulated learning.  相似文献   

13.
This study examines the contribution of learner cognitive and motivational characteristics to achievement in science at three grade levels. Specifically, the relations between domain-specific epistemic beliefs about the development and justification of scientific knowledge, achievement goals, knowledge, self-concept, self-efficacy, and achievement in science were simultaneously examined. Students in fifth (n = 213), eighth (n = 202), and eleventh (n = 281) grades completed questionnaires measuring the various constructs, and a domain knowledge test. Their grades in science were also collected. Results from structural equation modeling reveal that the hypothesized model fitted the observed data at the three grade levels, although not all expected paths were statistically significant. Students’ epistemic beliefs about the development of scientific knowledge had a direct effect on domain knowledge, whereas beliefs about the justification of scientific knowledge had a direct and an indirect effect via achievement goals on knowledge acquisition. Mastery, performance-approach, and performance-avoidance goals had a direct effect on self-efficacy. Knowledge had a direct and an indirect effect via self-concept on achievement. Educational implications are discussed.  相似文献   

14.
Climate change science is a challenging topic for student learning. This quantitative study examined the effectiveness of a geospatial curriculum approach to promote climate change science understandings in an urban school district with eighth-grade students and investigated whether teacher- and student-level factors accounted for students’ climate change knowledge achievement. The participants included 12 science teachers and 956 eighth-grade students. Data included a pre- and posttest climate change assessment measures for both teachers and students and a teacher measure of Geospatial Science-Technological Pedagogical Content Knowledge. Paired-sample t tests revealed statistically significant gains from pretest to posttest on their climate change knowledge (p < .001; effect sizes being large on multiple-choice items and medium on the open-ended response assessment). Both ordinary least squares (OLS) multiple regression and 2-level hierarchical linear modeling found that students’ initial climate change knowledge and gender were significant predictors for students’ posttest scores, p < .05. Students’ pretest scores were the strongest significant predictor of the posttest scores, p < .001. Neither the teachers’ climate change knowledge nor their Geospatial Science-Technological Pedagogical Content Knowledge had significant association with the students’ posttest scores. Teaching years was a significant predictor for students’ posttest scores in OLS regression (p < .001). The findings provide support that a geospatial curriculum approach is an effective science curriculum approach for learners in urban middle-level education.  相似文献   

15.
The conditions under which explicit instruction in checking, combined with worked examples, may be beneficial in learning how to translate sentences into algebraic equations was examined from the perspective of cognitive load theory. In two experiments it was shown that Grade 8 and 9 students were initially disadvantaged by the inclusion of a checking method. However, after a more substantial period of acquisition, students with a low level of mathematical knowledge performed significantly better after receiving checking instructions than those who did not receive checking instructions. In contrast, higher knowledge students were continually disadvantaged by the inclusion of a checking method. The positive effect of checking for lower knowledge students and the negative effect for higher knowledge students in this domain is a further example of the expertise reversal effect.  相似文献   

16.
ABSTRACT

The metaphor of the leaking pipeline is sometimes used to suggest that some students are lost for STEM as they advance through the educational system. This paper follows a cohort of upper-secondary school students with an interest in STEM from 18 months before their completion of upper-secondary until three years after their completion. Adopting a mixed-methods design, it follows the students' reflections and interests concerning their choice of higher education programme within and/or outside STEM. Only 22% of the students expressed the same interest during the whole period, and 56% changed between different groups of studies, e.g. between STEM and HEALTH. The students' trajectories showed that the leaking-pipeline metaphor is misleading because it suggests a linear and one-way movement, while there were students moving in as well as out of STEM trajectories. The students’ reflections showed identity issues at the level of ego identity, the personal identity and the social identity (Coté and Levine). Particular incidents in the students’ lives and in the outreach programme they were involved in sparked interests and reflections. These incidents should be considered as elements in a continuous reflection concerning who they are and where they would like to go rather than as critical moments.  相似文献   

17.
Providing prompts to induce focused processing of the central contents of instructional explanations is a promising instructional means to support novice learners in learning from instructional explanations. However, within research on the expertise reversal effect it has been shown that instructional means that are beneficial for novices can be detrimental for learners with more expertise if the instructional means provide guidance that overlaps with the internal guidance provided by the prior knowledge of learners with more expertise. Under such circumstances, prompts to induce focused processing might even be detrimental for learners with expertise whose prior knowledge already provides internal guidance to learn from explanations. On this basis, we aimed at experimentally varying expertise by developing prior knowledge. Specifically, we used a preparation intervention with contrasting cases to enhance learners’ prior knowledge (expertise). Against this background, we tested 71 university students in a 2 × 2 factorial experimental design: (a) Factor of expertise. Working with contrasting cases to develop prior knowledge and expertise to provide internal guidance to learn from instructional explanations (with vs. without), (b) Factor of prompts. Prompts to induce focused processing of the explanations (with vs. without). The results showed that prompts to induce focused processing fostered conceptual knowledge for novice learners whereas prompts hindered the acquisition of conceptual knowledge for learners with expertise that was developed by working with contrasting cases beforehand. Moreover, measures of subjective cognitive load and learning processes suggest that the instructional guidance provided by prompts compensated for the low internal guidance of novice learners and overlapped with the internal guidance of learners with expertise.  相似文献   

18.
Eight rhesus monkeys were trained on a counterbalanced series of concurrent, two-choice, discrimination tasks that provided different numbers of correct or incorrect objects as lists of discriminanda. Small, large, or infinite lengths of correct or incorrect object lists were combined in different tasks, and acquisition performances were compared. When tasks had an infinite number of objects in their correct list and a small number (4) in their incorrect list, acquisition entailed significantly less error than was seen when a small number of correct objects was paired with an infinite incorrect list. This pattern of outcomes seemed attributable to novelty preference. However, comparison of error distributions from tasks with infinite. list lengths to distributions from analogous tasks with fixed list lengths provided some basis for interpreting the way monkeys integrated information that emerged from the temporally discriminative properties of the tasks. One prospective concern was whether or not these performances represented behaviors like those seen in human cognitive discriminations of frequency of occurrence.  相似文献   

19.
In our study, we examine some theoretically relevant personal factors as predictors of students’ acquisition of knowledge of management accounting, a key area of business and economics studies in higher education. We modeled and assessed business and economics students’ knowledge of management accounting in Germany using an internationally proven accounting test that has been translated and adapted and comprehensively validated for higher education in Germany. A review of the international literature showed that potential predictors might include not only learning opportunities students have used during and prior to higher education, but also students’ socio-cultural background and gender. These factors were assessed in a survey of 1012 students studying at 23 institutions of higher education. Not surprisingly, a multilevel analysis confirmed that among the learning opportunities a course in management accounting has the greatest effect on students’ knowledge of management accounting. But when other potential predictors are controlled, completion of a commercial vocation training prior to university studies shows a positive effect, as well.  相似文献   

20.
Which kinds of content- and language-integrated interventions can better support mathematical learning, depending on students’ language background, as measured by communication on the discourse level or additional lexical training on the word level? A control trial compared interventions with two different materials (discursive versus lexical-discursive, each 5 × 90?min.) with respect to the dependent variable of conceptual and procedural knowledge for fractions. The effects are investigated differentially for four language groups: monolinguals versus bilinguals, each with higher versus lower German language proficiency (n = 343). For both interventions, the ANOVA shows an increase of mathematical knowledge for the experimental group, which is significantly higher than for the control group, but no significant difference between the interventions. The intervention with lexical-discursive materials led to a slightly higher increase of knowledge in the post test, but the discursive intervention was superior in the follow up test. Monolingual and multilingual students had similar patterns of growth without differential pattern. However, the proficient monolingual students tend to profit more from the interventions, especially from the lexical-discursive intervention.  相似文献   

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