The Performance of Chinese Primary School Students on Realistic Arithmetic Word Problems

Compared with standard arithmetic word problems demanding only the direct use of number operations and computations, realistic problems are harder to solve because children need to incorporate “real‐world” knowledge into their solutions. Using the realistic word problem testing materials developed by Verschaffel, De Corte, and Lasure [Learning and Instruction, 4(4), 273–294, 1994], two studies were designed to investigate (a) Chinese elementary school children’s ability to solve realistic word problems and (b) the different effects of two instructional interventions (warning vs. process‐oriented) on their performance. The results indicated that, contrasting to the standard problem solving, the participating children demonstrated a strong tendency to exclude real‐word knowledge and realistic considerations from their solution processes when solving the realistic problems. Process‐oriented instruction, calling for a deep‐level processing, was more likely than warning instruction to promote the activation of realistic considerations, but it was not effective at helping children arrive at realistic or correct answers. Finally, the results and their implications for mathematical teaching are discussed.     

Interest-enhancing approaches to mathematics curriculum design: Illustrations and personalization

Two common interest-enhancement approaches in mathematics curriculum design are illustrations and personalization of problems to students’ interests. The objective of these experiments is to test a variety of illustrations and personalization approaches. In the illustrations experiment, students (n?=?265) were randomly assigned to lessons with story problems containing decorative illustrations, contextual illustrations, diagrammatic illustrations, misleading illustrations, or no illustrations (only text [control condition]). Students’ problem-solving performance and attitudes were not affected by illustration condition, but learning was better in the control compared with contextual illustrations. In the personalization experiment, students (n?=?223) were randomly assigned to story problems that were either personalized based on: a survey of their interests, their choice of interest topics, a randomly assigned interest topic, or the original nonpersonalized story problem (control). The findings indicated there were benefits for choice personalization both for performance in the problem set as well as on a later learning assessment.     

Design and Evaluation of Digital Learning Material to Support Acquisition of Quantitative Problem-Solving Skills Within Food Chemistry

One of the modules in the course Food Chemistry at Wageningen University (Wageningen, The Netherlands) focuses on quantitative problem-solving skills related to chemical reactions. The intended learning outcomes of this module are firstly, to be able to translate practical food chemistry related problems into mathematical equations and to solve them and secondly, to have a quantitative understanding of chemical reactions in food. Until 3 years ago the learning situation for this module was inefficient for both teachers and students. For this learning situation a staff/student ratio of 1/25 was experienced to be insufficient: the level of student frustration was high and many students could not finish the tasks within the scheduled time. To make this situation more efficient for both students and teachers and to lower the level of frustration, digital learning material was designed. The main characteristic of this learning material is that it provides just-in-time information, such as feedback, hints and links to background information. The material was evaluated in three case studies in a normal educational setting (n = 22, n = 31, n = 33). The results show that now frustration of students is low, the time in classes is efficiently used, and the staff/student ratio of 1/25 is indeed sufficient. A staff student ratio of around 1/40 is now regarded as realistic.     

Teacher expertise and the development of a problem representation

This study examined ways in which expert and novice teachers mentally represent classroom problems in matters of instruction, assessment, and curriculum planning. A triad judgement task was administered to expert teachers (n=20) and novice teachers (n=98) to determine whether deep, structural features (i.e. the theoretical underpinnings associated with the problem) and/or surface features (narrative characteristics of the problem including grade level and subject) were used to interpret and represent a problem situation presented in a classroom context. Findings were consistent with results from previous studies examining problem representation among experts and novices in other domains. That is, the experts in this study primarily relied on the deep features to form a mental representation of a problem situation whereas the novices tended to rely on surface structures to do so. However, findings also revealed that novice teachers relied on the deep, structural features of the problem under certain conditions.     

Unrealistic responses to realistic problems with missing information: what are important barriers?

Abstract

It is a well-documented finding that students tend to neglect their real-world knowledge when solving word problems, even when realistic assumptions are needed. Although studies have successfully shown the extent to which students tend to provide unrealistic responses, the question of where this tendency comes from has yet to be answered. We focused on two major steps needed to solve realistic word problems: noticing missing information and making realistic assumptions. We conducted two studies with fifth graders (Study 1, N?=?108; Study 2, N?=?60) in which we compared students’ (un-)realistic responses to problems that differed in how obvious the missing information was. Study 1 fostered only students’ ability to make assumptions. Study 2 fostered this ability plus the ability to notice missing information. The results indicate that, if the missing information is not obvious, students’ failure to notice it seems to be what prevents them from arriving at a realistic solution.     

Exemplarism in moral education: Problems with applicability and indoctrination

ABSTRACT

This article introduces an account of moral education grounded in Zagzebski’s recent Exemplarist Moral Theory and discusses two problems that have to be solved for the account to become a realistic alternative to other educational models on the market, namely the limited-applicability problem and the problem of indoctrination. The first problem raises worries about the viability of the account in ordinary circumstances. The second charges the proposed educational model with indoctrinating students. The main goal of this article is to show how an exemplar-based account of moral education can handle both problems without compromising its structure and upshot.     

Deterministic and randomized scheduling problems under the 1p norm on two identical machines

Parallel machine scheduling problems, which are important discrete optimization problems, may occur in many applications. For example, load balancing in network communication channel assignment, parallel processing in large-size computing, task arrangement in flexible manufacturing systems, etc., are multiprocessor scheduling problem. In the traditional parallel machine scheduling problems, it is assumed that the problems are considered in offline or online environment. But in practice, problems are often not really offline or online but somehow in-between. This means that, with respect to the online problem, some further information about the tasks is available, which allows the improvement of the performance of the best possible algorithms. Problems of this class are called semi-online ones. In this paper, the semi-online problemP2|decr|l _p (p>1) is considered where jobs come in non-increasing order of their processing times and the objective is to minimize the sum of thel _p norm of every machine's load. It is shown thatLS algorithm is optimal for anyl _p norm, which extends the results known in the literature. Furthermore, randomized lower bounds for the problemsP2|online|l _p andP2|decr|l _p are presented. Project supported by the National Natural Science Foundation of China (Nos. 10271110, 10301028) and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, China     

Potential school violence: Relationship between teacher anxiety and warning‐sign identification

This study examined the relationship between teacher anxiety and their identification of warning signs of student violence. Fifty‐six public school teachers, 22 male and 34 female, between the ages of 23 and 60 participated. Participants identified warning signs in five fictional student case files created for this study and completed the State‐Trait Anxiety Inventory and a demographic survey. The case files included positive and negative information, and high‐ and low‐severity warning signs. Neither state (r = .02) nor trait (r = .04) anxiety was significantly correlated with high‐severity warning‐signs identification. Low‐severity warning‐signs identification was positively correlated with state anxiety (r = .28, p < .05) but not trait anxiety (r = .18, p > .05). False positive identification was not significantly related to state anxiety (r = .07) or trait anxiety (r = .06). The findings indicate that teachers who experience higher levels of state anxiety when confronted with warning signs of potential violence are better able to identify low‐severity warning signs than do their less anxious counterparts, without over‐identifying nonthreatening information as potential warning signs. © 2005 Wiley Periodicals, Inc. Psychol Schs 42: 623–635, 2005.     

CHILD‐CENTERED PLAY THERAPY IN THE SCHOOLS: REVIEW AND META‐ANALYSIS

The authors conducted a meta‐analysis and systematic review that examined 23 studies evaluating the effectiveness of child centered play therapy (CCPT) conducted in elementary schools. Meta‐analysis results were explored using a random effects model for mean difference and mean gain effect size estimates. Results revealed statistically significant effects for outcome constructs, including externalizing problems (d = 0.34), internalizing problems (d = 0.21), total problems (d = 0.34), self‐efficacy (d = 0.29), academic (d = 0.36), and other behaviors (d = 0.38). Further, a systematic review was conducted on all studies compared with Outcome Research Coding Protocol criteria. Results indicated that CCPT studies provided quantitative support and qualitatively promising to strong evidence in support of its use in the schools.     

Every word problem has a solution-The social rationality of mathematical modeling in schools

The focus of this paper is on sense-making and the use of real-world knowledge in mathematical modeling in schools. Arguments are put forward that classroom word problem solving is more—and also less—than the analysis of subject-matter structures. Students easily “solve” stereotyped, even unsolvable, problems without any regard to the constraints of factual reality. Mathematics learning in schools is inseparable not only from the materials employed, but from the macro- and microcultural web of practices within the social context of schooling. It represents, beyond the insightful activity of ideal problem solving, a type of socio-cognitive skill.The two experiments reported replicate and extend a study by Verschaffel, De Corte, and Lasure (1994). In the first experiment, a list of standard problems that could be solved by straightforward use of arithmetic operations, and a parallel list of problems which were problematic with respect to realistic mathematical modeling, were administered to fourth and fifth graders. In the second experiment, a similar list of problematic problems was presented to seventh graders under three socio-contextual conditions varying in the degree to which the pupils were told or signaled that the problems were more difficult to solve than it seemed at first or that they even could be unsolvable. The result of both studies was that most pupils “solved” a significant part of the unsolvable problems without evincing “realistic reactions”. This overall finding is discussed with respect to three issues:

• 1. 

  (i) the quality of word problems employed in mathematics education,

• 2. 

  (ii) the culture of teaching and learning, and

• 3. 

  (iii) the more general issue of social rationality in school mathematics problem solving.

     

Multimedia Effect in Problem Solving: A Meta-Analysis

Pictures are commonly used to represent problems. However, it is unclear how the addition of pictures affects students’ problem-solving performance. The multimedia effect in problem solving describes the phenomenon whereby an individual’s problem-solving performance is enhanced when equivalent pictures are added to illustrate or replace part of the problem text. Using meta-analytic techniques, this study sought to determine the overall size of the multimedia effect in problem solving and the possible boundary conditions (k = 51; N = 38,987; Range n = 10 – 31,842; Median n = 63). The results showed a significant small-to-medium multimedia effect size on response accuracy (Hedges’s g = 0.32) and a significant medium-to-large multimedia effect size on students’ response certainty (Hedges’s g = 0.74), but no significant multimedia effect on response time. The results for the effects of decorative pictures were not sufficient for a reliable interpretation. Representational (Hedges’s g = 0.24) and organizational (Hedges’s g = 0.52) pictures had a significant and positive impact on response accuracy, but informational or multiple pictures across studies did not have a significant aggregate effect on an individual’s response accuracy. These findings suggest that the multimedia effect in problem solving is diverse and limited by multiple boundary conditions. Further primary studies are needed to further investigate the multimedia effect in problem solving.

     

Role of adjuvant (chemo)radiotherapy for resected extrahepatic cholangiocarcinoma: a meta-analysis

Background

Adjuvant (chemo)radiotherapy (A(C)RT) may be an important supplement to surgery for extrahepatic cholangiocarcinoma (EHCC). However, whether all patients would achieve benefits from A(C)RT and which adjuvant regimen, adjuvant radiotherapy (ART) or adjuvant chemoradiotherapy (ACRT), would be preferred, are still undetermined. The low incidence of EHCC makes it difficult to carry out randomized controlled trials (RCTs); therefore, almost all clinical studies on radiotherapy are retrospective. We have conducted a meta-analysis of these retrospective studies.

Methods

We conducted a meta-analysis of current retrospective studies using PubMed, Embase, and ClinicalTrials databases. All studies published in English that were related to A(C)RT and which analyzed overall survival (OS), disease-free survival (DFS), or locoregional recurrence-free survival (LRFS) were included. Estimated hazard ratios (HRs) were calculated for OS, DFS, and LRFS.

Results

Data from eight studies including 685 patients were included. Our analysis showed that A(C)RT significantly improved OS (HR 0.69, 95% confidence interval (CI) 0.48–0.97, P=0.03), DFS (HR 0.60, 95% CI 0.47–0.76, P<0.0001), and LRFS (HR 0.27, 95% CI 0.17–0.41, P<0.00001) of EHCC overall. In subgroups, patients with microscopically positive resection margin (R1) could achieve a benefit from A(C)RT (HR 0.44, 95% CI 0.27–0.72, P=0.001). No statistically OS difference was observed in negative resection margin (R0) subgroup (HR 0.98, 95% CI 0.30–3.19, P=0.98). Significant OS benefit was found in patients who received concurrent ACRT (HR 0.40, 95% CI 0.26–0.62, P<0.0001), while the result of ART without chemotherapy showed no significant benefit (HR 1.14, 95% CI 0.29–4.50, P=0.85). In the distal cholangiocarcinoma subgroup, no significant difference was seen when ACRT and ART were included (HR 0.61, 95% CI 0.14–2.72, P=0.52), but a significant difference was seen when analyzing the concurrent ACRT only (HR 0.29, 95% CI 0.13–0.64, P=0.002).

Conclusions

A(C)RT may improve OS, DFS, and LRFS in EHCC patients, especially in those with R1 resection margins. ACRT may be superior to ART especially in distal patients.

     

Bayesian Inference

A practical situation is used to illustrate how Bayesian inferential procedures can be applied to educational problems. In a comparison of Bayesian and classical approaches to the same problem, it is shown that the formal process involved in Bayesian procedure is different from and more objective than classical procedure.

The purpose of this paper is to provide a clear illustration of the use of Bayesian inferential procedures. To this end, an educational problem is presented and a step-by-step Bayesian solution is provided. It is illustrated that the Bayesians have come up with a cogent technique in situations where the decision-maker is faced with choosing between two alternatives to a problem, one of which must be accepted.     

External and Internal Instantiation of Abstract Information Facilitates Transfer in Insight Problem Solving

Four studies were conducted to examine how instantiation of abstract statements facilitates solutions to insight problems. The first two experiments explored the effects of external instantiation (adding a concrete example to the abstract source information) on transfer. Providing an example along with the abstract source statement fostered transfer of analogous solutions. Moreover, adding a complete concrete instantiation to an abstract statement produced greater transfer than adding only specific items to illustrate the abstract terms. The second two experiments examined the effects of internal instantiation (encouraging learners to generate their own concrete examples of the abstract information) on transfer. This factor, too, facilitated problem solving. Generating examples to instantiate the abstract statement yielded even better transfer than simply informing participants of the relationship between the abstract statements and the target problems. These findings suggest that both external and internal instantiation facilitate transfer by promoting mental processes associated with implementing the source analogs.     

The Effect of External Representations on Compare Word Problems: Supporting Mental Model Construction

This study explored the effectiveness of external representations presented together with compare word problems, and whether such effectiveness was moderated by working memory. Participants were 49 secondary school students. Each participant solved 48 problems presented in 4 presentation types that included 2 difficulty treatments (number of steps and language consistency). Data from errors and response times indicated that adding a graph to compare word problems helped accuracy (d =.60) and response time (d =.44). This effect was larger for difficult and cognitively demanding problems. Findings suggest that external representations might help problem-solvers build a mental model of the described problem situation. In addition, working memory was not found to moderate the effectiveness of external representations.     

Stimulating the imaginative capacities of agricultural extension students

Purpose: To address the dynamic challenges associated with developing a globally sustainable society, numerous scholars have stressed the need to cultivate the imagination of agricultural students. This study aimed to explore how pictorial representations stimulate the imaginative capacities of agricultural extension students. Design/methodology/approach: We adopted a focus group method that enabled in-depth discussions amongst selected participants. Three focus group discussions were held with 15 student participants in Taiwan. Regarding the pictorial representations, a series of works from three great artists were selected, namely Jean-François Millet, Pablo Picasso and Joan Miró. The works were chosen. Findings: The results indicated that different indicators of imaginative capacities were stimulated by different types or combinations of pictorial representations. For example, realistic visual stimuli were beneficial for cultivating student intuition of problem solving. The atmosphere and colour of visual stimuli affected student sensibilities. The abstract stimuli and remote analogues were beneficial in generating original ideas and breaking design fixations. These stimulations occurred largely according to encountering problems and project needs. Practical implications: These findings can assist agricultural educators in developing imaginative curricula and instructional strategies and might increase students’ creative performance. Originality/value: This research provides intriguing insights into the complexities of human imagination. First, the present study developed a novel approach to assess how pictorial representations stimulate the imaginative-capacity indicators of agricultural extension students. Our results indicated that various indicators were stimulated by various types or combinations of pictorial representations, and how and why these stimulations occurred largely depended on design problems and project needs.     

Against methodocentrism in educational research

Abstract

This essay defines and critiques ‘methodocentrism’, the belief that predetermined research methods are the determining factor in the validity and importance of educational research. By examining research in science studies and posthumanism, the authors explain how this methodocentrism disenables research from taking account of problems and non-human actants that are presumed to be of no importance or value in existing social science research methodologies, both qualitative and quantitative. Building from a critique of these methods as profoundly anthropocentric, the authors examine three crucial problematics in which methodocentrism functions in educational research: the institutionalization of graduate training, a wide-spread privileging of the visual (part and parcel of empiricism), and the seeming necessity of ‘data’ in social scientific research methodologies. Ultimately, this article does not reject the necessity of particular studies having methods—rigorous, philosophically grounded approaches to problems in the world—but it argues that the belief that methods must be selected from existing options and assembled before approaching the ‘objects’ of study is not only a form of bad science, it is also deeply implicated in anthropocentric and colonialist politics. Instead, what research requires today is a thorough rethinking of the very distinction between subject and object and a renewed questioning of how agency functions in specific research settings.     

The Immigrant Paradox in the Problem Behaviors of Youth in the United States: A Meta-analysis

This meta-analysis synthesizes the empirical data on problem behaviors among foreign- (G1) and U.S-born (G2+) youth and explores the effects of immigrant status on youth internalizing and externalizing problems. A random effects meta-regression with robust variance estimates summarized effect sizes for internalizing and externalizing problems across 91 studies (N = 179,315, M_age = 13.98). Results indicated that G1 youth reported significantly more internalizing problems (g = .06), and fewer externalizing problems than G2+ youth (g = −.06). Gender and sample type moderated the effects. The findings provide a first-step toward reconciling mixed support for the immigrant paradox by identifying for whom and under what conditions the immigrant experience serves as a risk or protective factor for youth.     

What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems

School students of all ages, including those who subsequently become teachers, have limited experience posing their own mathematical problems. Yet problem posing, both as an act of mathematical inquiry and of mathematics teaching, is part of the mathematics education reform vision that seeks to promote mathematics as an worthy intellectual activity. In this study, the authors explored the problem-posing behavior of elementary prospective teachers, which entailed analyzing the kinds of problems they posed as a result of two interventions. The interventions were designed to probe the effects of (a) exploration of a mathematical situation as a precursor to mathematical problem posing, and (b) development of aesthetic criteria to judge the mathematical quality of the problems posed. Results show that both interventions led to improved problem posing and mathematically richer understandings of what makes a problem ‘good.’