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1.
Central to equation solving is the maintenance of equivalence on both sides of the equation. However, when the process involves an interaction of multiple elements, solving an equation can impose a high cognitive load. The balance method requires operations on both sides of the equation, whereas the inverse method involves operations on one side only. In an experiment, middle school students (N?=?71) were randomly assigned to the balance and inverse methods to complete a pre-test, an acquisition phase and a post-test. Pre-test and post-test comparisons found that the inverse group outperformed the balance group for those equations that involved high element interactivity. Instructional efficiency measures further confirmed that the balance method imposed higher cognitive load. The inverse method was capable of reducing cognitive load due to the interacting elements.  相似文献   

2.
Between two popular teaching methods (i.e., balance method vs. inverse method) for equation solving, the main difference occurs at the operational line (e.g., +2 on both sides vs. ?2 becomes +2), whereby it alters the state of the equation and yet maintains its equality. Element interactivity occurs on both sides of the equation in the balance method, but only on one side in the case of the inverse method. Thus, the balance method imposes twice as many interacting elements as the inverse method for each operational line. In two experiments, secondary students were randomly assigned to either the balance method or the inverse method to learn how to solve one-step, two-step, and three-or-more-step linear equations. Test results indicated that the interaction between method and type of equation favored the inverse method for equations involving higher element interactivity. Hence, by managing element interactivity, the efficiency of instruction for equation solving can be improved.  相似文献   

3.
This study investigated the effects of problem-based learning (PBL) on knowledge acquisition and knowledge retention in a controlled experiment in a lab setting. Eighty-eight first-year psychology students were randomly assigned to either a PBL condition, a lecture condition, or a self-study condition. All participants had the opportunity to study the same text. Their knowledge acquisition was tested on both an immediate post-test and a delayed post-test, one week later. The results showed beneficial effects for the PBL group on the immediate and the delayed test compared to the lecture group. There were no differences between knowledge acquisition scores for the self-study condition and either of the other conditions. Moreover, no differences on knowledge retention were shown, because the decline in performance over time was equal in all conditions. In conclusion, the present study provides experimentally based evidence of the disadvantageous effects of instruction through lectures compared to PBL.  相似文献   

4.
Preparing competent staff is a critical issue within the camp community. This quasi-experimental study examined the effectiveness of an online course for improving staff competency in camp healthcare practices among college-aged camp staff and a comparison group (N = 55). We hypothesized that working in camp would increase competency test scores due to opportunities for staff to experientially apply knowledge learned online. Hierarchical linear modeling was used to analyse the cross-level effects of a between-individuals factor (assignment to experimental or comparison group) and within-individual effects of time (pre-test, post-test #1, and post-test #2) on online course test scores. At post-test #2, the difference in average test scores between groups was ~30 points, with the treatment group scoring lower on average than the comparison group. Factors that may have influenced these findings are explored, including fatigue and the limited durability of online learning. Recommendations for research and practice are discussed.  相似文献   

5.
This paper reports on an exploratory study designed to determine and enhance the conceptual understanding of a group of pre-service mathematics teachers at one Irish university utilizing an established framework for understanding mathematics. 23 students on a one year Professional Diploma in Mathematics Education participated in the study, which involved the distribution of a pre- and post-test and engagement in a ten week intervention designed to enhance their subject matter knowledge (SMK) and pedagogical content knowledge (PCK). The findings highlight that although there was an improvement in overall conceptual understanding across the entire cohort at the end of the intervention, within certain mathematical topics there was a statistically insignificant improvement and many deep-rooted issues remain. In this paper we focus on the pre-service teachers’ understanding of elementary algebra, in particular, how to solve a linear equation.  相似文献   

6.
The aim of this study was to explore a group of prospective primary teachers’ conceptual understanding of diffusion and osmosis as they implemented a 5E constructivist model and related materials in a science methods course. Fifty prospective primary teachers’ ideas were elicited using a pre- and post-test and delayed post-test survey consisting of ten two-tier questions of which an explanatory part was integral. Individual interviews were conducted with six prospective teachers at the end of the implementation of the unit using four questions. Test scores were analyzed quantitatively and qualitatively. Post-instructional interviews were analyzed qualitatively. Statistical analysis using one-way ANOVA of student test scores pointed to statistically significant differences between pre- and post- and delayed post-test (p < 0.05). A qualitative analysis of the prospective teachers’ explanations in the two-tier questions revealed changes in their ideas overtime. Both quantitative and qualitative analyses suggest that the teaching activities promoted students’ conceptual understanding. No statistically significant differences were found between post-test and delayed post-test scores, suggesting that the teaching activities based on 5E model enabled students to retain their new conceptual understanding.  相似文献   

7.
The objective of this study was to construct a teaching strategy for facilitating students’ conceptual understanding of the boiling concept. The study is based on 52 freshman students in the primary science education department. Students’ ideas were elicited by a test consisting of nine questions. Conceptual change strategy was designed based on students’ alternative conceptions. Conceptual change in students’ understanding of boiling was evaluated by administering a pre-, post- and delayed post-test. The test scores were analysed both by qualitative and quantitative methods. Statistical analysis using one-way ANOVA of student test scores pointed to statistically significant differences in the tests and total scores (p < 0.05). Quantitative analysis of students’ responses on each test revealed different schema about changing their knowledge system. Both qualitative and quantitative analyses suggest that the teaching activities facilitated students’ conceptual understanding. No statistically significant differences were found between post-test and delayed post-test scores, suggesting that the teaching strategy enabled students to retain their new conceptions in the long-term memory.  相似文献   

8.
A class of 1st-year medical students was divided into a control group who performed a laboratory experiment for themselves, and an experimental group who were given a demonstrationdata interpretation exercise. Prior to the practical session the experimental group were given a programmed text covering the underlying theoretical principles, to use in their private study. The control group were instructed to do their private study in the usual way using only their lecture notes and textbooks. Prior knowledge and the gain resulting from practical instruction were assessed using pre- and post-tests.The conventional laboratory method was ineffective and did not facilitate conceptual understanding. The post-test performance and gain of the experimental group was significantly better than that of the control group, but this result did not appear to be dependent upon greater prior knowledge. The pretest performance of both treatment groups revealed that many students were inadequately prepared for the practical exercise. Many students did not appear to study the programmed text conscientiously, probably because they were accustomed to the traditional method of teaching and adopted a surface, reproductive approach to all learning. Furthermore, the students had difficulty linking their prior knowledge to the experiment, suggesting the need for pre-laboratory exercises designed to achieve closer integration between theory and experimentation.It is clear that in order to achieve more meaningful learning there is a need for the students to change their attitudes and approaches to learning and for active, student-centred teaching-learning experiences to be incorporated into the curriculum.  相似文献   

9.
Eighth grade students in Australia (N = 60) participated in an experiment on learning how to solve percentage change problems in a regular classroom in three conditions: unitary, pictorial, and equation approaches. The procedure involved a pre-test, an acquisition phase, and a post-test. The main goal was to test the relative merits of the three approaches from a cognitive load perspective. Experimental results indicated superior performance of the equation approach over the unitary or pictorial approach especially for the complex tasks. The unitary approach required students not only to process the interaction between numerous elements within and across solution steps, but also to search for critical information, thus imposing high cognitive load. The pictorial approach did not provide a consistent approach to tackling various percentage change problems. Coupled with the need to coordinate multiple elements within and across solution steps, and the need to search for relevant information in the diagram, this approach imposed high cognitive load. By treating the prior knowledge of percentage quantity as a single unit, the equation approach required students to process two elements only. Empirical evidence and theoretical support favor the equation approach as an instructional method for learning how to solve percentage change problems for eighth graders.  相似文献   

10.
Why are some students able to learn to use the trial and error method to balance chemical equations while others are not? To test the hypothesis that formal reasoning is required to balance even simple one-step equations, while formal reasoning and a sufficiently large mental capacity are required to balance more complex many-step equations, a sample of science students was tested to determine level of intellectual development, mental capacity, and degree of field dependence/field independence. Students were then given classroom instruction in using trial and error to balance equations. As predicted, a posttest revealed significant correlations between developmental level and equation balancing ability for both simple and complex equations. Also, as predicted, mental capacity correlated significantly with complex equations but not with simple equations. Field dependence/field independence played no significant role in performance. Educational implications are drawn.  相似文献   

11.
This study investigated the effectiveness of concept mapping used as a learning strategy with students in English as a Second Language classrooms. Seventy-nine ESL students participated in the study. Variables of interest were students’ achievement when learning from English-language text, students’ reported use of self-regulation strategies (self-monitoring and knowledge acquisition strategies), and students’ self-efficacy for learning from English-language text. A randomized pre-test–post-test control group design was employed. The findings showed a statistically significant interaction of time, method of instruction, and level of English proficiency for self-monitoring, self-efficacy, and achievement. For all four outcome variables, the concept mapping group showed significantly greater gains from pre-test to post-test than the individual study group. The findings have implications for both practice and research.  相似文献   

12.
This paper presents the findings of a three-year longitudinal study (Grades 9–11; N?=?756 students in German secondary schools; mean starting age?=?14.7 years) that explores the development of and the interplay between upper-secondary students’ individual interest and conceptual understanding in chemistry. Students’ individual interest was assessed in seven dimensions of school science activities (realistic, investigative, artistic, social, conventional, and networking) according to Dierks et al.'s RIASEC+N model. The data was collected annually using paper-and-pencil questionnaires. In order to analyse the longitudinal relation between students’ academic interest and conceptual understanding, Eccles et al.'s Expectancy-Value Theoretical Model of Achievement Choices (EEVT) was utilised and seven bivariate cross-lagged models were performed to investigate the assumed reciprocal relations between both constructs. Regarding the developmental progression of individual interest and conceptual knowledge, latent growth curve models indicate a small decrease in all of the seven dimensions of students’ interest in school science activities and concomitant a moderate growth of students’ conceptual understanding. Moreover, structural equation modelling suggests weak reciprocal relations between students’ conceptual understanding and their interest in investigative, social and networking school science activities, respectively. Furthermore, students’ interest in enterprising activities predicted their subsequent conceptual understanding. No systematic pattern of cross-lagged effects between the three remaining interest dimensions and conceptual understanding were found. The results indicate that school science activities, which provide the potential for cognitively activating learning opportunities, could enhance the relation between students’ interest and conceptual understanding. Implications for teaching practice and further research are discussed.  相似文献   

13.
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14.
《Learning and Instruction》2000,10(4):311-330
In this article we present the results of an experimental study of the influence of task characteristics on the characteristics of elaboration of conceptual knowledge in social interaction. With a pre-test and post-test we measured individual learning outcomes. We constructed a coding scheme that focuses on the communicative functions and propositional content of utterances and on elaborative episodes. The subjects were 40 students who worked in dyads on a collaborative task about electricity in one of four conditions. We compared a concept mapping task with a poster task and investigated the effect of a phase of individual preparation. The post-test scores were significantly higher than the pre-test scores. Individual preparation created better learning results and the asking of more questions. The concept mapping conditions showed more discussion of electricity concepts, collaboratively elaborated conflicts and reasoning, but no higher individual learning outcomes. In the concept mapping conditions, elaboration was related to individual learning outcomes.  相似文献   

15.
The present study conducted to investigate the contribution of conceptual change texts, accompanied by concept mapping instruction to eleventh-grade students’ understanding of cellular respiration concepts, and their retention of this understanding. Cellular respiration concepts test was developed as a result of examination of related literature and interviews with teachers regarding their observations of students’ difficulties. The test was administrated as pre-test, post-test, and delayed post-test to a total of 70 eleventh-grade students in two classes of the same high school in an urban area, taught by the same teacher. The experimental group was a class of 34 students who received conceptual change texts accompanied by concept mapping instruction. A class of 36 students comprised the control group who received traditional instruction. Besides treatment, previous understanding and logical thinking ability were other independent variables involved in this study. The results showed that logical thinking, treatment, previous understanding of cellular respiration concepts each made a statistically significant contribution to the variation in students’ understanding of cellular respiration concepts. The result also showed that conceptual change texts accompanied by concept mapping instruction was significantly better than traditional instruction in retention of this understanding.  相似文献   

16.
《Learning and Instruction》2002,12(2):233-262
The performance of a group of grade 9 mathematics students trained to use a self-explanation procedure during study of a new theorem in geometry was compared with that of students who used their usual study procedures. The processing activities used by the students during the study session and those used in a subsequent problem-solving test were observed. The focus of analysis on both occasions was on the knowledge access, knowledge generation, management and elaboration activities used by students. The self-explanation group showed more frequent use of each type of activity and also obtained higher scores on the problem-solving test. The difference in post-test performance of the groups was greatest on a set of far-transfer items. These items required the students to extend their use of the newly learned theorem to problem types that were substantially different from those presented in the original study material. Of particular note was the carryover effect of self-explanation training to students' processing in the subsequent problem-solving session. The relationships among the processing activities, students' beliefs, prior knowledge and post-test performance were examined using a partial least-squares path analysis procedure. Use of the self-explanation method had an indirect effect on performance, this effect being mediated by associated knowledge access and knowledge generation activity. There was no direct effect of method on performance. The strongest predictor of performance was the level of knowledge generation activity during which students showed evidence of making novel connections, either within the newly presented study material or between parts of that material and their existing geometry knowledge. In the final path model derived from the analysis of student performance, the students' prior knowledge measure had both a weak direct on their problem-solving performance and an effect on that performance that was mediated by relationships with the knowledge access and knowledge generation variables in the model.  相似文献   

17.
Research has consistently stressed that regular school teachers are important in determining the success of implementing inclusive education. It was also found that teachers’ attitudes, their knowledge about special educational needs (SEN) and teaching strategies are prerequisites for implementing inclusive education successfully. This study examines the effects of an in-service teacher training programme on regular primary school teachers’ attitudes and knowledge about SEN and about teaching strategies. A pre- and post-test control group design study was set up (Nexperimental group = 33, Ncontrol group = 34), comprising 11 public primary schools. The training programme consisted of 32 hours face-to-face training sessions, covering topics about attitudes and knowledge about SEN and about teaching strategies. In order to establish the effects of the training programme, attitudes and knowledge were measured at two moments: before and after the training programme was performed. The outcomes of ANCOVA revealed significant positive effects of the training programme on most dependent variables (attitudes, knowledge about SEN and about teaching strategies) with medium to large effect sizes. Implications for future research and practice are discussed.  相似文献   

18.
围绕函数知识的三个方面（概念表征、图像性质、复合函数与反函数）设计了测试问卷,调查教育部某直属师范大学数学系139名师范生函数教学知识的状况。结果表明,师范生函数教学知识水平有了一定的发展,但是内部各成分之间存在较多的不一致：（1）师范生的内容与教学知识水平比内容与学生知识水平低,主要表现在师范生概念表征、复合函数与反函数这两个方面。（2）在内容与学生知识领域内,师范生关于图像性质的水平低于其他两个成分上的水平。（3）在内容与教学知识领域内,师范生关于概念表征、图像性质、复合函数与反函数的水平两两之间都存在着显著差异。  相似文献   

19.
Epistemologists identify different approaches to knowledge, but scholarship within kinesiology has been dominated by the scientific method. Although some scholarship with roots in existential philosophy and phenomenology focuses on subjective knowledge, that work seems to have little influence on current research. This paper proposes the need for a balance of scientific and subjective knowledge and examines what impact such a balance would have on research and on professional practice. Subjective knowledge requires reflection about experience. The concept of mindfulness is proposed as a meaningful approach to subjective knowledge.  相似文献   

20.
This paper reports on an investigation on the use of an analogy activity and seeks to provide evidence of whether the activity enables students to change alternative conceptions towards views more in accord with scientific views for aspects of solution chemistry. We were also interested in how robust any change was and whether these changes in conceptual thinking became embedded in the students’ long-term memory. The study has its theoretical basis in an interpretive paradigm, and used multiple methods to probe the issues in depth. Data collection consisted of two concept test items, one-on-one interviews, and student self-assessment. The sample consisted of 44 Grade 9 students selected from two intact classes (22 each), from Trabzon, Turkey. The interviews were conducted with six students selected because of evidence as to their significant conceptual change in solution chemistry. The research findings revealed statistically significant differences in pre-test and post-test scores, and pre-test and delayed post-test scores (p<0.05), but no differences between post-test and delayed test scores (p>0.05). This suggests that the analogy activity is helpful in enhancing students’ conceptual understanding of solution chemistry, and that these changes may be stored in the students’ long-term memory.  相似文献   

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