Language-related learning of mathematics: a comparison of kindergarten and primary school as places of learning

The study described in this paper presents research results from two separate projects, as well as two theoretical pillars that form the foundation of these projects. The first of these pillars focuses on the interactional relationship between mathematical and linguistic learning; the second defines an understanding of learning as a process that unfolds through institutions, whereby the most important element in the education of a child is the child him/herself rather than the specific place of learning. That is, for the purposes of this paper, the same linguistic issues arise independently of whether the child is in primary school or kindergarten. The results of both projects are used in the reconstruction of linguistic conditions of the learning of mathematics. These analyses can lead us to conclude that improvement in children’s linguistic competences should be only a secondary goal; the real key to the more effective promotion of children’s education in terms of subject-related learning seems to lie in the improved education and further education of teaching staff. The results should thus form a theoretical basis for the development of unified support and training concepts for children and educators.     

Performance assessment in higher education in Britain

All public sector organisations in the UK have witnessed changes in funding arrangements during the 1980s as part of the Government's drive to make them more accountable to the tax-payer. The development of performance indicators is seen as an essential step to ensure that such organisations provide value for money. This paper examines the possibility of constructing measures of the performance of UK universities. A methodology is developed in the framework of production theory and uses multiple regression techniques to estimate the relationship between the outputs and inputs of universities. Around 80% of the inter-university variation in four output measures can be explained by corresponding variations in several input measures. This highlights the need to take into account the inputs available to a university when comparing its output performance with that achieved by other institutions. The problems of interpreting an array of performance indicators are also clearly demonstrated.     

The efficiency of health and education expenditures in the Philippines

This paper attempts to measure the efficiency of provinces in the Philippines in utilizing public resources for health and education where only 1% of the total budget is spent for health and 3% is allocated for education. With such budget constraints, it is important to examine the efficiency of spending on social services as small changes can have a major impact in achieving the Millennium Development Goals. Efficiency is defined as the deviation from the frontier which represents the maximum output attainable from each input level. This efficiency frontier is estimated using the data envelopment analysis, free disposal hull and Malmquist-DEA. We use expenditures for social services for input and primary and secondary enrollment rates, literacy rate per province, and life expectancy for outputs. An analysis of efficiency scores shows that provinces where the level of inequality is higher (as measured by the Gini coefficient) as well as those who receive a larger portion of their budget as grants are among the least efficient. This research can help in the budget allocation and rationalization among Philippine provinces.     

Academic maturity of students in an extended programme in mathematics

ABSTRACT

This paper focuses on the students who are registered in the University of Pretoria’s academic development programme, named the Four-year Programme (FYP). The programme was introduced as a gateway for students who are underprepared but have the potential to succeed and then continue their studies into the mainstream science programmes. Our research focuses on measuring the change in the academic maturity of these students. In the theoretical framework that we developed, academic maturity is subdivided into two components namely non-subject based maturity and subject based maturity (mathematical maturity). This paper focuses on measuring non-subject based academic maturity. The survey used for this purpose is called the Student Academic Readiness Survey (STARS), taken at the beginning of the year and after the first semester respectively. The results of the surveys are compared to measure the change in students’ views. Results show that in all constructs there is a surprising decline in students’ perceptions regarding their own abilities over the first semester at university. We use the Dunning–Kruger effect to explain this unexpected decline, in that students seem to develop a more realistic view of their own maturity, which in itself can be seen as a growth in academic maturity.     

基于简化的区间数据主成分分析的高校教师绩效分析

绩效分析是高校教师绩效管理中的重要组成部分.基于简化的区间数据主成分分析方法,以2008 2009年A大学经济管理学院的教师绩效评估数据为例,考察了两年内各岗位级别教师的整体绩效和变化情况,以及教师个人绩效在所处岗位级别上的动态变化情况.基于绩效分析的结果,对绩效管理决策提出了相关建议.     

Examining Recruitment and Retention Factors for Minority STEM Majors Through a Stereotype Threat Lens

Prior research regarding minorities in the science, technology, engineering, and mathematics (STEM) fields indicated that the factors of peer support and participation in STEM‐related activities contributed positively to minority students' recruitment and retention in these fields. Utilizing stereotype threat as a conceptual framework, this qualitative case study investigated the contribution of these factors by examining the experiences of minority students majoring in a STEM field. Data analyzed through a deductive approach indicated that a stereotype threat adversely affecting retention and recruitment in STEM could be either minimized or maximized by peer support, in the form of educator or familial influence, and participation in STEM‐related activities through internships and the application of STEM‐related knowledge. Findings from this research may inform higher education institutional practices involving the recruitment and retention of students to the STEM fields from minority populations.     

Output-specific input-assurance regions in DEA

The use of assurance region (AR) constraints to restrict multipliers in data envelopment analysis (DEA) is well-established, and has been discussed at length in the literature. The conventional assumption in imposing such restrictions is that they apply universally. Specifically, AR constraints on input multipliers are intended to control the relative importance of the individual inputs in terms of how they impact the entire bundle of outputs. In many settings the relative importance of inputs is different for some of the outputs than for others. A typical example of this in the financial services sector is where the importance of sales staff versus service staff is different in regard to sales outputs than is true for service outputs. In this paper we develop a general DEA framework that incorporates multiple input-AR structures that cater to multiple output classes. We examine the cases of both divisible and indivisible inputs, and as well as mutually exclusive and overlapping output sets. The concepts are applied to a financial services situation.     

Analysing factors affecting the choice of emergent human resource capital

Ever since the announcement that UK higher education (HE) fees were to increase up to £9000, many universities have expressed concern about how to attract the best students while offering choice and promoting student mobility through broader access. This in turn has led to questioning how such complexity might be modelled using sophisticated operational research (OR) techniques. Because higher education institutions (HEIs) are now beginning to compete ‘against’ rather than ‘with’ each other, potential students are paying increased attention to where and what they will study, as well as graduate opportunities after their degree. Hence, the quality of education services becomes increasingly vital for HEIs in order to attract potential students. This study seeks to develop a framework of those factors affecting international (non-EU) students’ choice of institution. A number of factors were identified and collated from the existing literature providing a solid foundation on which to base this research. A survey approach was utilised to determine the importance of identified factors based on data collected from students of two different types of institutions (a university and a feeder institution). Through a better understanding of factors such as social influence, financial and career opportunities, universities should be well placed to construct models underpinned by OR principles that will promote scenario modelling and planning within HE.     

Are economically advanced countries more efficient in basic and applied research?

Research and development (R&D) of countries play a major role in a long-term development of the economy. We measure the R&D efficiency of all 28 member countries of the European Union in the years 2008–2014. Super-efficient data envelopment analysis (DEA) based on robustness of classification into efficient and inefficient units is adopted. We use the number of citations as output of basic research, the number of patents as output of applied research and R&D expenditures with manpower as inputs. To meet DEA assumptions and to capture R&D characteristics, we analyze a homogeneous sample of countries, adjust prices using purchasing power parity and consider time lag between inputs and outputs. We find that the efficiency of general R&D is higher for countries with higher GDP per capita. This relation also holds for specialized efficiencies of basic and applied research. However, it is much stronger for applied research suggesting its outputs are more easily distinguished and captured. Our findings are important in the evaluation of research and policy making.     

An empirical method for assessing the research relevance gap

There has been much debate on the relevance to firms of the academic research produced by business schools. However, what has not received as much attention is how the relevance of the research to businesses should be measured in a systematic and empirical way. We develop a systematic method to test for the relevance of academic research to businesses. Our method models as a vector autoregressive process the interests of the academic and practitioner communities in some new topic, as expressed by the number of articles published in the academic and the practitioner literature on that topic per calendar quarter, and then studies Granger causality between the academic and practitioner interest processes. This method can be used by academics to empirically demonstrate the impact of their intellectual contributions on practitioners and thence on the business world. We employ our approach to two relatively new and important topics, Real Options and Economic Value Added.     

Predictive factors of students’ motivation to succeed in introductory mathematics courses: evidence from higher education in the UAE

The purpose of the study is to examine whether there is a significant relationship between students’ motivation to succeed in introductory mathematics courses offered by universities in the United Arab Emirates (UAE) as the dependent variable of the research and another five independent variables including cognitive mathematics self-concept, affective mathematics self-concept, extrinsic motivation as expectations of future career and income, students’ age and the number of mathematics courses taken by students. The rationale of the study is based on the significance of mathematics achievements for students and academic institutions in particular, as well as for the society in general. The study is designed based on a quantitative research methodology and a sample of 685 students participated in completing a survey questionnaire. The sample is drawn from students who were registered in different introductory mathematics courses at four academic institutions of higher education in the UAE. The quantitative correlation analysis among students’ motivation, cognitive mathematics self-concept, affective mathematics self-concept, extrinsic motivation, students’ age and the number of mathematics courses taken by students reveals theoretically consistent interrelationships. The quantitative multiple regression analysis indicates that the five independent variables explain 71.3% of the variation in students’ motivation to succeed in introductory mathematics courses.     

The interaction between dropout,graduation rates and quality ratings in universities

This paper investigates in a non-parametric framework whether academic programmes maximize their student graduation rates and programme quality ratings given the first-year student dropout rates. In addition, it explores what institutional and programme characteristics explain this interaction. The results show a large variation in how academic programmes are able to deal with the selective nature of first-year dropout. Nevertheless, we can accurately explain the variation among programmes by programme and institutional characteristics. It seems that universities can maximize the relation between first-year dropout, graduation rates and quality ratings in several ways: (1) by improving student programme satisfaction, (2) by better preparing certain groups of students for higher education, (3) by supporting male students, (4) by supporting ethnic minority students, (5) by attracting older staff, and (6) by strengthening the selective nature of the first year (ie, increasing the academic dismissal policy threshold).     

Laying groundwork for an understanding of academic integrity in mathematics tasks

ABSTRACT

To date, the way that academic misconduct is manifested in undergraduate mathematics coursework has been unexamined in the literature, with the consequence that policy and preventive education can fail to address it appropriately. This paper describes the particular features of the responses expected in mathematical tasks and provides concrete examples of what lapses of integrity look like in this context. The intent is to lay groundwork for discussion and a response to this issue from within our discipline.     

人力资源网络模型及其动力学分析在企业内部升迁和外部招聘中的应用

首先讨论了ICM公司职位分配到职员办公室的原则,并讨论了在这些原则下一个合理分配方案的合作网络和监管网络构成的混合网络模型;然后,利用该模型的节点属性、公司职员属性及两者之间的关系建立了后档案矩阵,讨论了公司职员属性函数,在此基础上研究了包含职员离职算法、内部升迁算法和外部招聘算法的动力学分析;最后,在混合网络模型中利用算法进行了动力学仿真。     

A Manpower Planning Study

The paper describes a technique which has been applied in practice to predict the movements of the staff of a large undertaking over the next 20 years. The exercise shows the future promotion pattern and the recruitment required to fill the posts which become vacant as a result of promotion or wastage.By feeding in alternative assumptions about the future demand for staff in each department, corresponding to different levels of business activity, it is possible to see in advance which situations are likely to give rise to the greatest staff problems.It is thought that the same basic technique could be used for manpower planning in other firms.     

Generalized sensitivity indices based on vector projection for multivariate output

Analyzing the sensitivity of model outputs to inputs is important to assess risk and make decisions in engineering application. However, for model with multiple outputs, it is difficult to interpret the sensitivity index since the effect of the dimension and the correlation between multiple outputs are often ignored in the existing methods. In this paper, a new kind of sensitivity analysis method is proposed by use of vector projection and dimension normalization for multiple outputs. Through the dimension normalization, the space of multiple outputs can be unified into a dimensionless one to eliminate the effect of the dimension of the different output. After an affine coordinate system is constructed by considering the correlation of the multiple normalized outputs, a total variance vector for the multiple outputs can be composed by the individual variance of each output. Then, by projecting the variance contribution vector composed by the individual variance contribution of the input to each output on the total variance vector, the new sensitivity indices are proposed for measuring the comprehensive effect of the input on the total variance vector of multiple outputs, it is defined as the ratio of the projection of the variance contribution vector to the norm of the total variance vector. We derive that the Sobol’ indices for a scalar output and the covariance decomposition based indices for multiple outputs are special cases of the proposed vector projection based indices. Then, the mathematical properties and geometric interpretation of the proposed method are discussed. Three numerical examples and a rotating shaft model of an aircraft wing are used to validate the proposed method and show their potential benefits.     

Measurement of students’ mathematics motivation and self-concept at institutions of higher education: evidence of reliability and validity

ABSTRACT

The study aims at proposing a quantitative instrument tailored to measure the level of mathematics motivation and self-concept of students in mathematics courses at academic institutions of higher education. The significance of this study stems from its endeavour to measure mathematics motivation and self-concept of students in courses of mathematics at academic institutions of higher education which ultimately contributes to the success of students, academic institutions and societies. A quantitative research methodology has been employed in this study in which a 55-item survey instrument has been tailored and piloted. The results of factor analysis indicate that the instrument’s items loaded into mathematics motivational factors and mathematics self-concept factors. The cumulative percentage explained by mathematics motivational factors is 55.3% and the cumulative percentage explained by mathematics self-concept factors is 53.2%. The factors of mathematics motivation and mathematics self-concept explain the majority of variance in the dataset. The findings of validity and reliability tests show that 35 items measure mathematics motivation through four subscales which include importance and necessity of mathematics; perception of success in mathematics; enjoyment of mathematics; and expectations of future career and income. The other 20 items measure mathematics self-concept through two subscales which include cognitive mathematics self-concept and affective mathematics self-concept.     

Additive super-efficiency in integer-valued data envelopment analysis

Conventional data envelopment analysis (DEA) methods assume that input and output variables are continuous. However, in many real managerial cases, some inputs and/or outputs can only take integer values. Simply rounding the performance targets to the nearest integers can lead to misleading solutions and efficiency evaluation. Addressing this kind of integer-valued data, the current paper proposes models that deal directly with slacks to calculate efficiency and super-efficiency scores when integer values are present. Compared with standard radial models, additive (super-efficiency) models demonstrate higher discrimination power among decision making units, especially for integer-valued data. We use an empirical application in early-stage ventures to illustrate our approach.     

位势平面问题的新的规则化边界积分方程

广泛实践集中在直接变量边界积分方程的规则化研究,其本质是利用简单解消除边界积分的奇异性．然而,至今关于平面位势问题的第一类边界积分方程的规则化研究尚未涉足．致力于间接变量边界积分方程的规则化方法研究,基于一种新的思想和观点,确立平面位势问题的间接变量规则边界积分方程,它不包含CPV强奇异积分和HFP超奇异积分．数值算例表明现在的方法可取得很好的精度和效率,特别是边界量的计算．     

Recruitment Effects on Manpower Structures

Recruitment is one of the dynamics of manpower systems that can usually be most effectively controlled, always assuming that there is at any time an adequate supply of recruits to a system. In this situation, recruitment can be fixed to meet immediate demands, or it can be part of long-term planning programmes designed perhaps to alleviate a skewness in the length of service profile without reducing the strength of the system greatly. In general, recruitment levels will necessarily be connected with wastage and promotion in a system as well as with the desired growth of the system. The process of determining manpower-planning policies, hereunder recruitment levels, is open to a variety of options with regard to the underlying assumptions that are made: observed experience can be assumed to continue; promotion policies can be adjusted and the consequences estimated; recruitment levels can be allowed to meet immediate demands but with the restriction of some maximum level; or recruitment levels are pre-fixed on the basis of some perhaps even arbitrary management desires. Each of these options and each accompanying recruitment policy will affect the internal structure of the system, with regard to both rank and length of service profiles. This paper employs established projection and promotion models for hierarchical manpower systems to consider recruitment policies and their effects on internal structures. Various policy models are outlined and results presented for a particular application.