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1.
Abstract

We present adaptable activities for models of drug movement in the human body – pharmacokinetics – that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models, progressing in complexity to a system of differential equations. We investigate the effects of parameter values that distinguish various health levels, and dosing that may have toxic effects. Our assignments include modeling in a student-centered, active, and increasingly inquiry-oriented setting through which the mathematics and biology inform and reinforce each other. We include supplemental information regarding inquiry methods, student learning outcomes, a student’s commentary about our activities, and support through mathematical communities such as POGIL and SIMIODE.  相似文献   

2.
ABSTRACT

Based on cooperative learning models, the present study investigated the specific effects of performance, interpersonal relations and affective variables in a computer‐based cooperative learning environment. Subjects were male and female adults who studied a multimedia learning program as a professional training task. After randomization 50 subjects worked in cooperative settings, while 25 subjects worked individually as a control group. In keeping with our assumptions, the subjects benefited from being paired. Further advantages for cooperative learning seem likely if instructions are modified and cooperative strategies used.  相似文献   

3.
Padmanabhan Seshaiyer 《PRIMUS》2017,27(4-5):476-493
Abstract

In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived from calculus, but can be suitably modified to solve more complex problems; and finally provide pointers on how to train students through the UR process that can help to impact student’s future academic and non-academic careers.  相似文献   

4.
Differential equation models have intuitively meaningful parameters that can be mapped to developmental theories emphasizing nonlinear multiple timescale processes. Following this tradition, we map theoretical propositions of infant-parent self-/co-regulation to intrinsic and extrinsic dynamics captured by fishery models wherein fish’s reproduction and farmers’ harvesting contribute to population size. Integrated and estimated within a multilevel growth modeling framework, the model captures distinct components of self-/co-regulation and changes with age. We use simulations to examine viability of the model’s application to real-world data and illustrate the model’s utility using exemplar data drawn from a multiple timescale study of infant distress and mother soothing behaviors (N = 144 dyads) as the infant received routine immunizations at ages 2 and 6 months. Results highlight the benefits of articulating theoretical propositions within a differential equations framework, and using multiple timescale study designs with natural or experimentally induced perturbations in the study of self-/co-regulation and its development.  相似文献   

5.
Regression mixture models are a new approach for finding differential effects which have only recently begun to be used in applied research. This approach comes at the cost of the assumption that error terms are normally distributed within classes. The current study uses Monte Carlo simulations to explore the effects of relatively minor violations of this assumption, the use of an ordered polytomous outcome is then examined as an alternative which makes somewhat weaker assumptions, and finally both approaches are demonstrated with an applied example looking at differences in the effects of family management on the highly skewed outcome of drug use. Results show that violating the assumption of normal errors results in systematic bias in both latent class enumeration and parameter estimates. Additional classes which reflect violations of distributional assumptions are found. Under some conditions it is possible to come to conclusions that are consistent with the effects in the population, but when errors are skewed in both classes the results typically no longer reflect even the pattern of effects in the population. The polytomous regression model performs better under all scenarios examined and comes to reasonable results with the highly skewed outcome in the applied example. We recommend that careful evaluation of model sensitivity to distributional assumptions be the norm when conducting regression mixture models.  相似文献   

6.
Regression mixture models, which have only recently begun to be used in applied research, are a new approach for finding differential effects. This approach comes at the cost of the assumption that error terms are normally distributed within classes. This study uses Monte Carlo simulations to explore the effects of relatively minor violations of this assumption. The use of an ordered polytomous outcome is then examined as an alternative that makes somewhat weaker assumptions, and finally both approaches are demonstrated with an applied example looking at differences in the effects of family management on the highly skewed outcome of drug use. Results show that violating the assumption of normal errors results in systematic bias in both latent class enumeration and parameter estimates. Additional classes that reflect violations of distributional assumptions are found. Under some conditions it is possible to come to conclusions that are consistent with the effects in the population, but when errors are skewed in both classes the results typically no longer reflect even the pattern of effects in the population. The polytomous regression model performs better under all scenarios examined and comes to reasonable results with the highly skewed outcome in the applied example. We recommend that careful evaluation of model sensitivity to distributional assumptions be the norm when conducting regression mixture models.  相似文献   

7.
Abstract

The study represented a systematic effort to alter attitudes by emphasizing recognition and evaluation of basic assumptions. It consisted of seventy-five college students enrolled in their first course in professional education. A semantic differential was administered at the beginning and again at the end of the spring semester, 1964-65. For ten of the thirteen concepts tested, significant differences were obtained, based upon the t-test for correlated samples.  相似文献   

8.
Jean Marie Linhart 《PRIMUS》2019,29(7):702-711
Abstract

This article describes a method for using the United States Census data to open a differential equations course. The question of finding a model for the United States population data gives students a first experience with creating a model using differential equations, and also understanding derivatives, what they mean, and how to calculate them in the context of real data. This model-building start motivates further exploration in many of the standard differential equations topics: the method of separation of variables, slope fields, autonomous equations, equilibria, and stability.  相似文献   

9.
Colleen Livingston 《PRIMUS》2019,29(7):677-687
Abstract

This paper describes an activity using a dog treat ball to introduce systems of first-order differential equations. Beads are placed in the first of two hemispherical chambers of a food-dispensing dog toy. As the ball is turned, students track the number of beads in the first chamber, the second chamber, and the exterior of the ball. Students develop a working assumption, write a system of differential equations to model the number of beads in each region, and use a spreadsheet to compare their experimental and model results.  相似文献   

10.
BackgroundChild maltreatment research involves modeling complex relationships between multiple interrelated variables. Directed acyclic graphs (DAGs) are one tool child maltreatment researchers can use to think through relationships among the variables operative in a causal research question and to make decisions about the optimal analytic strategy to minimize potential sources of bias.ObjectiveThe purpose of this paper is to highlight the utility of DAGs for child maltreatment research and to provide a practical resource to facilitate and support the use of DAGs in child maltreatment research.ResultsWe first provide an overview of DAG terminology and concepts relevant to child maltreatment research. We describe DAG construction and define specific types of variables within the context of DAGs including confounders, mediators, and colliders, detailing the manner in which each type of variable can be used to inform study design and analysis. We then describe four specific scenarios in which DAGs may yield valuable insights for child maltreatment research: (1) identifying covariates to include in multivariable models to adjust for confounding; (2) identifying unintended effects of adjusting for a mediator; (3) identifying unintended effects of adjusting for multiple types of maltreatment; and (4) identifying potential selection bias in data specific to children involved in the child welfare system.ConclusionsOverall, DAGs have the potential to help strengthen and advance the child maltreatment research and practice agenda by increasing transparency about assumptions, illuminating potential sources of bias, and enhancing the interpretability of results for translation to evidence-based practice.  相似文献   

11.
Richard Spindler 《PRIMUS》2019,29(7):688-701
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12.
Abstracts

English

The aim of the paper is to argue for a curriculum model approach to problems of development in adult and lifelong (or continuing) education contexts.

The advantages of such an approach are outlined : relating theory to practice and social policies to educational processes; exploring professional role‐structures and their effect upon received curriculum assumptions in the adult sector, particularly the traditional needs‐meeting, remedial and compensatory elements of such assumptions.

The significance of recent theoretical and policy developments in adult and continuing education is reviewed in these terms and some distinctions made between alternative implicit models of the lifelong curriculum. It is suggested that adult education, as presently constituted, might, itself, be an obstacle to the development of an integrated lifelong education curriculum.

In order to elucidate this a number of curriculum concepts, familiar enough in the general theory of education, are considered in the less familiar context of adult and lifelong education: typologies of curriculum models are used to explore some issues of development in this context (e.g. objectives, provision, process, action, research models etc.)

Ideas of a ‘core’ curriculum, and of the ‘hidden’ or ‘latent’ curriculum, together with curriculum development and evaluation are also considered.

The existing state of the adult and continuing education curriculum is then analyzed within such a conceptual framework. The disposition of professional roles is described, together with the curricular implications of the structure of provision (the University Extra‐Mural Departments, the WEA and the LEA sector).

The ideas of ‘flexibility’ and ‘access’ are critically reviewed as a function of professional (rather than political) ideologies, and the adult‐lifelong curriculum is analyzed in terms of administrative criteria on the one hand and educational process and social action on the other.

A prevailing orthodoxy of continuing education is elucidated in curriculum terms, and contrasted with the curriculum implications of lifelong models. For example, such models stress the functional interdependence of learning stages in an ‘intrinsic’ rather than a ‘remedial’ way, whereas much thinking about adult and continuing education in Britain is concerned with compensatory responses to failures of early educational experience.

In conclusion, it is argued that, in curriculum terms, the development of a continuing or a lifelong education system is by no means as straightforward as is sometimes supposed, and that the obstacles lie primarily within the nature of present curriculum assumptions as much as the more obvious material obstacles to development. Adult education, as it is presently organized, articulates the same kind of curriculum assumptions as initial education. The curriculum assumptions of lifelong education, however, are much more concerned with education in terms of social control and knowledge‐content than with access to professional provision which reproduces curriculum models of initial education sectors.  相似文献   

13.
Abstract

When postgraduate researchers’ interests lie outside the body(ies) of knowledge with which their supervisors are familiar, different supervisory approaches are called for. In such situations, questions concerning the appropriateness of traditional models arise, which almost invariably involve a budding candidate’s relationship with a knowing-established researcher/supervisor. Supervisory relationships involving creative practice-led research in particular confront significant challenges by new and emerging themes, questions, processes and practices. My lack of disciplinary knowledge regarding two PhD candidates’ projects led me some years ago to question the effects of this lack and to search for effective ways of dealing with it. A subsequent commitment to different modes of candidate/supervisor collaborations was based on three assumptions: One, a supervisor is not, in the first instance, a conveyor or purveyor of knowledge. Two, postgraduate researchers already have substantial and refined pockets of relevant knowledge to draw on. Three, and very importantly, they are able to activate networks of distributed knowledge, often outside of the University. The argument presented in this article draws theoretically on Jacques Rancière and Hannah Arendt’s ideas of pedagogy and public space, as well as notions of cosmopolitics (Cheah & Robbins), mode 2 knowledge (Gibbons et al.) and not-knowing in Art & Design (Jonas). Reflections on my experiences of supervising PhD and Master of Art & Design candidates, together with ideas offered by contributors to a book I have recently edited, will locate moments of choice and the emergence of the unforeseeable, of vigilance towards singular events as much as collective understanding.  相似文献   

14.
在已有文献所给的解一元四次方程方法的基础上,给出了求解四阶常系数方程的详细步骤,同时,利用常数变易法和分部积分法,以及高等代数的相关知识,得到了在两种情况下四阶常系数非齐次线性微分方程特解的两个定理.  相似文献   

15.
Abstract

There are widespread assumptions and convictions about the importance of positive attitudes for the acquisition of reading skills, and the importance of the teacher in promoting such attitudes in pupils. But the teacher and his/her attitudes are relatively neglected variables in the massive reading research literature. This paper reports the construction of a semantic differential instrument to assess primary school teachers' attitudes toward reading and the teaching of reading. The instrument was administered to 317 final year prospective primary school teachers from five Victorian teachers' colleges. The semantic differential data were analyzed in two different ways and the correlational patterns obtained from each analysis are discussed. Components of the attitude instrument were found to be related to reading achievement.  相似文献   

16.

This paper is based upon three stories which were told by respondents in a study of how survivors, mothers of survivors and teachers of survivors cope in the aftermath of child sexual abuse. These stories relate to interactions in the school or workplace and are discussed within the broader context of existing stereotypes and assumptions about abuse. The paper argues that assumptions about abuse can affect outcomes and can cause distress to others who become involved in dealing with it.  相似文献   

17.
Abstract

Wright and O'Neil's (1995) international survey of promising teaching improvement practices in higher education (HE) placed the existence of teaching support centres close to the top of the thirty‐six item scale. One conclusion that may be drawn from their findings is that many of the responding institutions see the role of academic developer as significant in helping to monitor trends and planning activities that can lead to quality of educational provision. This paper outlines several scenarios relating to learning environments potentially emerging in HE, describes implications for institutional change, and defines key assumptions for bringing about a development culture. Additionally, the paper reviews how these contextual factors may impact on the role of academic developer and concludes with a suggestion for a ‘developers’ curriculum’ that may merit consideration by members of the International Consortium for Educational Development in Higher Education (ICED).  相似文献   

18.
This study applied kernel equating (KE) in two scenarios: equating to a very similar population and equating to a very different population, referred to as a distant population, using SAT® data. The KE results were compared to the results obtained from analogous traditional equating methods in both scenarios. The results indicate that KE results are comparable to the results of other methods. Further, the results show that when the two populations taking the two tests are similar on the anchor score distributions, different equating methods yield the same or very similar results, even though they have different assumptions.  相似文献   

19.

This article reports on a research project designed to explore a group of women scientists' understandings of themselves and science. The project uses an unconventional methodology: - a mixture of conventional qualitative research methods and techniques developed for use in psychotherapy. Its preliminary results appear to contradict some of the assumptions on which much of past work on girls and science education is based. For example, we found that, for the women involved in this project, factors such as the presence in their lives of strong female role models and/or the use of 'girl-friendly' curriculum materials were not important in their decision to continue the study of science to university level. Other factors - some of which were quite unexpected - had a much greater effect. The article outlines the methodology of this project and some of its findings, and explores the implications of these findings for future work on the gender and science education question.  相似文献   

20.
Abstract

This paper considers some of the new realities that are likely to affect higher education, particularly those arising from developments in communication and information technologies. Four scenarios are presented as illustrations of how higher education might change; some of the elements that make up these scenarios are already emerging. The paper then explores the role that leadership and governance play in helping institutions to address the new realities, particularly as change impacts on institutional culture and functioning.  相似文献   

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