Trends of progression of student level of reasoning and generalization in numerical and figural reasoning approaches in pattern generalization

This study explored progression of students’ level of reasoning and generalization in numerical and figural reasoning approaches across grades and in different pattern generalization types. An instrument that included four figural patterns was administered to a sample of 1232 students from grades 4 to 11 from five private schools. The findings suggest that there was progressive development in the level of reasoning and generalization in each reasoning approach across clusters of grades. The level of reasoning and generalization in figural approach was higher than that for numerical approach in each grade. In addition, the level of reasoning and generalization for each approach and in each grade was not limited to one level but to several levels. The type of generalization influenced the progression of students’ level of reasoning and generalization in each approach.     

A cross-age study of the understanding of five chemistry concepts

A sample of 100 students from junior high school physical science, high school chemistry, and introductory college chemistry were examined for understanding of five chemistry concepts. The concepts addressed were chemical change, dissolution of a solid in water, conservation of atoms, periodicity, and phase change. The amount of experience with the concepts (grade level) and reasoning ability (developmental level) were examined as possible sources of variation in student understanding. Differences in understanding with respect to grade level were found to be significant for the concepts of chemical change, dissolution of a solid, conservation of atoms, and periodicity. However, few of the students in the college chemistry sample exhibited sound understanding of chemical change, periodicity, or phase change. The use of particulate terms (atoms, ions, molecules) increased across the grade levels. Reasoning ability proved to be a significant factor for student understanding of conservation of atoms and periodicity. An examination of the number and types of misconceptions across the grade levels revealed several interesting patterns and suggested sources for the students' alternative conceptions.     

Age and developmental level as antecedents of science learning

Over the past decade, developmental theory has occupied a central role in science education instructional theory and empirical research. The purpose of the present study is to quantitatively synthesize studies relating age (or grade) and developmental level to science learning among grade 6-12 students over the 1963-1978 period. Twenty-seven studies were reviewed. Annual increments observed in measures of developmental level were consistent with current theory, and annual increments in cognitive achievement were relatively constant over the grade 4-9 interval. Measures of student ability were found to be better predictors of cognitive achievement than developmental measures; age and grade level were weakly related to developmental level and cognitive achievement, showing only significant correlations across grade levels.     

Tertiary students' knowledge of their own learning and a SOLO Taxonomy

This paper is a report of the analysis of statements by 869 students and their 21 lecturers in 12 courses in 5 Faculties in the Queensland University of Technology (QUT). The students and lecturers were asked to write a page about learning. The objectives were to collect data to devise a taxonomy of levels of knowledge of learning held by tertiary students and lecturers and to use this to describe student knowledge to lecturers as a basis for planning for teaching. The statements were categorised, using the SOLO Taxonomy as a model (c.f., Biggs and Collis 1982, 1989), by two trained researchers and checked by the author and a consultant. The majority of responses for both students and lecturers were multistructural. A MANOVA for SOLO levels by deep, surface and achieving motives and strategies showed that as SOLO levels increased surface motives declined and deep motives and strategies assumed more importance. The key concepts in learning identified by a random sample of 100 students were further analysed and described for each SOLO level. A SOLO type model of levels of knowledge of learning is proposed, based on the structure of the responses.     

Chinese teachers' attributions and coping strategies for student classroom misbehaviour

In this study, we investigated Chinese teachers' attributions and coping strategies for classroom misbehaviour across grade levels. A total of 244 teachers (Grades 1–12) from the Chinese mainland participated in this survey. Results indicated that Chinese teachers first attributed misbehaviour to student characteristics, such as being “lazy, not making enough effort”, and second to “bad learning habits”. Looking across grade levels, elementary teachers first blamed student learning habits while secondary teachers blamed student effort. With regard to coping strategies, inconsistencies were found across grade levels and between teachers' perceptions and actions. The majority of sampled elementary teachers tended to choose “praising good students” as the most effective and often-used strategy, while secondary teachers believed in “talking after class”. In fact, “talking after class” was viewed to be more effective as grade level increased. However, teachers reported that they did not actually use the strategy of “talking after class” very often when coping with misbehaviours.     

Assessing task values in five subjects during secondary school: Measurement structure and mean level differences across grade level,gender, and academic subject

Students’ value beliefs tend to decrease across secondary school (Wigfield et al., 2015). However, previous studies did not differentiate between all the dimensions of task values defined by expectancy-value theory (Eccles et al., 1983). Therefore, this study evaluated an instrument for assessing multiple value dimensions across grade level and academic subjects and tested for differences between grade levels in these subjects. A total of 830 students from Grades 5 to 12 completed a questionnaire assessing their value beliefs in German, English, math, biology, and physics with 37 items each. The factor structure was shown to be invariant across academic subjects, grade levels, and gender. Generally, students in higher grades showed lower means on positive value facets and higher means on cost facets. However, the results varied substantially by facet and subject. Furthermore, stereotypical gender differences in value beliefs were found, and some of these differences increased with students’ grade level. The findings indicate that examining multiple dimensions and subjects is crucial for developing a complete understanding of the development of students’ value beliefs.     

Patterns in children's ability to recall explicit,implicit and metaphorical information

The purpose of this study was to examine the effects of grade level and recall task type on children's memory for explicit, implicit and metaphorical information following reading. Forty second and 40 fifth grade subjects balanced as to gender read four prose passages and were randomly assigned to cued and free recall conditions. A MANOVA produced significant main effects for grade level and task type on each of three dependent variables; EXPLICIT, IMPLICIT and METAPHOR recall measures. As predicted, fifth graders fared better than second graders and the cued condition exceeded free recall. Of greater significance was the finding that second graders were able to engage in metaphorical reasoning when the task was appropriately structured. The results suggest that providing externally generated, structured probes can greatly enhance children's reading recall at both grade levels and can enable children to demonstrate metaphorical comprehension prior to the age at which it spontaneously appears. In addition, significantly different patterns of recalled information were found within the two task conditions, patterns that remained stable across age groups.     

Examining the impact of prior academic achievement on moral reasoning development among college students: A growth curve analysis

Moral reasoning is concerned with making decisions regarding the appropriate course of action in particular situations and has been highlighted as a critical factor that may facilitate (or impede) the effectiveness of educational programs in promoting positive outcomes. This study examined the trajectories of moral reasoning as measured by the Defining Issues Test (DIT2) for college students and to what extent there are intra-individual (within student) and inter-individual (between student) changes in moral reasoning during this developmental period. The results suggest that moral reasoning was best represented by a linear increase on the mean level and non-signi?cant variability across students. The relationship between moral reasoning and students’ prior academic attainment was also examined.     

Exploring the deep-level reasoning questions effect during vicarious learning among eighth to eleventh graders in the domains of computer literacy and Newtonian physics

This paper tested the deep-level reasoning questions effect in the domains of computer literacy between eighth and tenth graders and Newtonian physics for ninth and eleventh graders. This effect claims that learning is facilitated when the materials are organized around questions that invite deep-reasoning. The literature indicates that vicarious learners in college student populations show greater pretest to posttest learning gains when presented with deep-level reasoning questions before each content sentence, than when deep-level questions are omitted, or when learners interact with an intelligent tutoring system. This effect holds for vicarious learners across grade levels and domains.     

Student gain in reasoning ability as a function of teacher reasoning level and teaching style preference

This study examines the effect of teacher reasoning level (i.e., concrete versus formal) and teaching style preference (i.e., inquiry vs. expository) on improvement in student reasoning ability. A random sample of fourth and seventh grade teachers and their students were selected to participate over one school year. Students completed a reasoning test in the early fall and late spring. Teachers completed two instruments in the Spring, a reasoning test and a teaching style preference questionnaire. Students of concrete operational teachers showed greater gains in reasoning ability than students of formal operational teachers while students of inquiry teachers showed slightly greater gains than students of expository teachers. Possible explanations are discussed as are suggestions for future research.     

A cross-age study of student understanding of the concept of diffusion

This study examined 7th-grade life science students, 10th-grade biology students, and college zoology students for understanding of the concept of diffusion. Responses from 100 students from each grade level were randomly selected for data analysis. Each student responded to a test packet consisting of a biographical questionnaire, two Piagetian-like developmental tasks, and a Concept Evaluation Statement (CES). The CESs were used to measure the students' understandings of the concept of diffusion. None of the 300 students across the three grade levels exhibited complete understanding of the diffusion concept. There was no appreciable difference among the grade levels in sound or partial understanding, misconceptions, or “no understanding.” An analysis of the misconceptions exhibited by the college sample showed that many of the misconceptions could be traced to a misapplication of scientific terminology.     

Selective attention of impulsive and reflective children

Kagan's Matching Familiar Figures Test was used to select 36 impulsive and 36 reflective children at each of three grade levels: kindergarten, second, and fifth. An incidental learning paradigm was used to assess the child's recall of central and incidental information. Reflective subjects recalled more central and incidental information than impulsives, suggesting that impulsives have difficulty encoding information for storage. Central recall increased with grade level but incidental learning remained constant, a finding consistent with the developmental trend found in previous investigations. A task order effect was found in the recall of central information with more errors made when the central recall task was presented after the incidental. This order effect may account for the higher central recall scores found in previous investigations. Other problems with the incidental learning paradigms raise questions about the validity of the task for inferring selective attention. Despite the problems associated with the task, the results offer further evidence to support the notion that impulsive and reflective children differ on dimensions other than response latency.     

Primary school students’ strategies in early algebra problem solving supported by an online game

In this study we investigated the role of a dynamic online game on students’ early algebra problem solving. In total 253 students from grades 4, 5, and 6 (10–12 years old) used the game at home to solve a sequence of early algebra problems consisting of contextual problems addressing covarying quantities. Special software monitored the students’ online working when solving the problems. Before and after the intervention a paper-and-pencil test on early algebra was administered. The data analysis revealed that the online working contributed to the students’ early algebra performance. There was a significant gain in performance across all grades. The highest effect was found in grade 6. Out of the three strategy profile clusters that could be distinguished in the whole sample, the cluster dominated by using extreme values and the cluster characterized by the trial-and-error strategy were most influential on the gain in early algebra performance. The students’ level of online working, which was defined as a combination of online involvement and strategy use, appeared to have a marginally significant effect on the gain score for the total sample. Per grade there was no significant effect, yet the levels of online working were significantly related to grade. Free playing was mostly performed in grade 4, looking for answers in grade 5, and exploring relations slightly more in grades 5 and 6. About 17 % of the effect of grade on the gain score was mediated by the level of online working.     

Effects of School Experiences on Substance Use Among Canadian Children: The Power of the Circle of Friends

We used the Canadian data from the Cross-National Survey on Health Behaviors in School-Aged Children (HBSC) to examine the effects of school experiences on substance use among Canadian students, with seven measures on use of illegal drugs, alcohol, and tobacco. Multilevel data analyses with students nested within schools indicated an obvious increasing trend of substance use in each and every measure across grade levels (Grades 6 to 10). Students with low perception of their academic status and students from single-parent households were most likely to use alcohol and tobacco. Female students were more likely to use tobacco than male students. In comparison to student characteristics, substance use was much more strongly related to school experiences. Characteristics of schools in which students' substance use was minor can be described as (a) positive circle of friends, (b) positive sense of belonging to school, and (c) positive parental support. The circle of friends was the most important school-level variable that affected students' substance use across grade levels (Grades 6 to 10). This revised version was published online in July 2006 with corrections to the Cover Date.     

Reliability and validity of a mathematics performance assessment

This study evaluated the reliability and validity of a performance assessment designed to measure students' thinking and reasoning skills in mathematics. The QUASAR Cognitive Assessment Instrument (QCA1) was administered to over 1.700 sixth and seventh grade students of various ethnic backgrounds in six schools that are participating in the QUASAR project. The consistency of students' responses across tasks and the validity for inferences drawn from the scores on the assessment to the more broadly-defined construct domain were examined. The intertask consistency and the dimensionality of the assessment was assessed through the use of polychoric correlations and confirmatory factor analysis, and the generalizability of the derived scores was examined through the use of generalizability theory. The results from the confirmatory factor analysis indicate that a one-factor model fits the data for each of the four QCAI forms. The major findings from the generalizability studies (person x task and person x rater x task) indicate that, for each of the four forms, the person x task variance component accounts for the largest percentage of the total variability and the percentage of variance accounted for by the variance components that include the rater effect is negligible. The variance components that-include the rater effect were negligible. The generalizability and dependability coefficients for the person x task decision studies (n_t, = 9) range from .71-.84. These results indicate that the use of nine tasks may not be adequate for generalizing to the larger domain of mathematics for individual student level scores. The QUASAR project, however, is interested in assessing mathematics achievement at the program level not the student level; therefore, these coefficients are not alarmingly low.     

Online discussion compensates for suboptimal timing of supportive information presentation in a digitally supported learning environment

This study used a sequential set-up to investigate the consecutive effects of timing of supportive information presentation (information before vs. information during the learning task clusters) in interactive digital learning materials (IDLMs) and type of collaboration (personal discussion vs. online discussion) in computer-supported collaborative learning (CSCL) on student knowledge construction. Students (N = 87) were first randomly assigned to the two information presentation conditions to work individually on a case-based assignment in IDLM. Students who received information during learning task clusters tended to show better results on knowledge construction than those who received information only before each cluster. The students within the two separate information presentation conditions were then randomly assigned to pairs to discuss the outcomes of their assignments under either the personal discussion or online discussion condition in CSCL. When supportive information had been presented before each learning task cluster, online discussion led to better results than personal discussion. When supportive information had been presented during the learning task clusters, however, the online and personal discussion conditions had no differential effect on knowledge construction. Online discussion in CSCL appeared to compensate for suboptimal timing of presentation of supportive information before the learning task clusters in IDLM.     

基于SOLO分类理论的高中历史三层教学设计和三步教学案例

先介绍SOLO分类理论,然后探讨其用于高中历史教学设计时存在的问题。为了更好的用于教学设计,对SOLO分类理论五个层次进行整理,形成"知识获得"、"知识整合使用"、"知识升华"三个层次。在整理后的SOLO三层结构基础上,以高中历史具体的一课内容为例,进行三层教学设计和三步教学。"三层教学设计"以学习过程中思维发展特点为基础,对课本内容进行分类、分层重构;在教学设计基础上进行"三步教学",帮助学生习得基础知识,实现思维层级发展,最终达到全班每个学生进步的效果。     

Theoretical and practical significance of formal reasoning

Piaget's theory has profoundly influenced science education research. Following Piaget, researchers have focused on content-free strategies, developmentally based mechanisms, and structural models of each stage of reasoning. In practice, factors besides those considered in Piaget's theory influence whether or not a theoretically available strategy is used. Piaget's focus has minimized the research attention placed on what could be called “practical” factors in reasoning. Practical factors are factors that influence application of a theoretically available strategy, for example, previous experience with the task content, familiarity with task instructions, or personality style of the student. Piagetian theory has minimized the importance of practical factors and discouraged investigation of (1) the role of factual knowledge in reasoning, (2) the diagnosis of specific, task-based errors in reasoning, (3) the influence of individual aptitudes on reasoning (e.g., field dependence-independence), and (4) the effect of educational interventions designed to change reasoning. This article calls for new emphasis on practical factors in reasoning and suggests why research on practical factors in reasoning will enhance our understanding of how scientific reasoning is acquired and of how science education programs can foster it.     

Kohl berg's Cognitive‐Developmental Theory in Educational Settings: Some Possible Abuses

Abstract

Kohlberg's cognitive‐developmental theory provides teachers with a framework for understanding the change and development of moral judgment and decision‐making of their pupils. One major abuse, however, may be when teachers take the stage labels associated with the hypothesized stage levels of moral judgment as indicative of static student qualities or characteristics, by placing more emphasis on perceived and labelled qualities than on the actual moral reasoning of the student. This, it is suggested, together with some empirical examples, may obscure the developmental trend of the student's moral judgment or even affect the teacher's expectations and consequently student's performance, and fails to take into account such factors as environment and interpersonal interaction. A study is reported in which curriculum consultants exposed to moral development theory were tested to determine whether they would use Kohlbergian labels of stage content or actual moral reasoning when required to make assessments. Suggestions are put forward as to how moral development theory can be more closely linked to pedagogy.     

Progression Trend of Scientific Reasoning from Elementary School to University: a Large-Scale Cross-Grade Survey Among Chinese Students

This study examines progression trends of Chinese students’ scientific reasoning skills across grade levels from elementary school to university. A large-scale survey using the Classroom Test of Scientific Reasoning (CTSR) was conducted with 2669 Chinese students at 13 grade levels (grades 4–16). The construct validity of the CTSR was first examined using Rasch analysis to verify that the various reasoning sub-skills targeted by the test (hypothetical-deductive reasoning, proportional reasoning, correlation reasoning, probabilistic reasoning, and control of variables) form a cohesive cognitive construct. Based on an affirmative result, we proceeded to fit grade-level averages to the best-fit logistic regression model and generated trend lines for the reasoning sub-skills measured by the CTSR. Results show that the cross-grade progression trends generally follow continuous paths through increasingly greater levels of improvement. While all sub-skills display a noticeable growth during middle and high school years, they progress across the grades with different rates. Specifically, the development of proportional reasoning is fast-paced and large, but the progression of hypothetical-deductive reasoning and control of variables is markedly tardy and small. Formal science instruction, particularly the emergence of multiple domain-specific science courses in middle and high school, can influence the cross-grade progression trends. Possible causes and future improvement in science education are proposed. This study contributes to our understanding about the development of scientific reasoning and offers important implications for science instruction and research at different grades.