Mathematical modelling in mathematics education and instruction

This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling in mathematics teaching at schools and universities, and identify certain schools of thought within mathematics education. Part 3 will describe the role of modelling in present mathematics curricula and in everyday teaching practice. Some obstacles for mathematical modelling in the classroom will be analysed, as well as the opportunities and risks of computer usage. In part 4, selected materials and resources for teaching mathematical modelling, developed in the last few years in America, Australia and Europe, will be presented. The examples will demonstrate many promising directions of development.

Perspectives of Urban Growth Management and Sustainable Development In West Bank, Hebron District as a case Study

The main objective of this PhD research study is to provide a perspective on the urban growth management and sustainable development in Palestine, and more specifically in Hebron district as a case study. Hebron is located 36 km south of Jerusalem, with an overall population size of around 600,000 people living in a total area around1246km2. Hebron is the biggest Palestinian district that has 16 municipalities and 154 localities. The research discusses and analyzes the urban planning system, economical and environmental policies and the solution required to manage and integrate the development elements to develop a sustainable development plan for Hebron. The research provides answers for fundamental questions such as what kind and definition of sustainable development are applicable to the Palestinian case?. What are the sustainability problems there and how the Israeli occupation and unstable political condition affect the sustainable development in Palestine? What are the urban growth management and sustainability policies and actions required from government, public and privets sector in Palestine? The fast urban growth in Palestine is facing many problems and challenges due to the increase in the population size and the resulting impact of this increase including, but not limited to, the demand of new houses, need for more infrastructure services, demands on new industrial, commercial, educational and health projects, which in turn reduces the area of agricultural lands and threatens the natural resources and environment. There are also other associated sustainability problems like the absence of effective plans or regulations that control urban expansion, the absence of sufficient sustainable development plans at the national levels for the district, new job requirements, Israeli restrictions and occupation for more than 60 years, existence of construction factories near residential areas, poor public awareness and poor governmental funds for service projects and development plans. The study consists of nine chapters. Chapter One includes an introduction, study objectives, problems and justifications, while Chapter Two has a theoretical background on sustainability topic and definitions of sustainability. The Palestinian urban planning laws and local government systems are discussed in Chapter Three and the methodology of research is detailed in Chapter Four. As for Chapter Five, it provides a general background on Hebron District including demographical and economical profiles, along with recommendations related to sustainable development for each profile Chapter Six addresses the urban environment, sustainability priorities and policies required. Chapter Seven discusses and analyzes infrastructure services including transportation, water and wastewater. As for Chapter Eight, it addresses the land use, housing and urban expansion beside the cultural heritage, natural heritage with relevant sustainable development polices and recommendations. Finally, Chapter Nine includes a conclusion and comprehensive recommendations integrating all of urban and sustainability event in one map. Hebron has a deep history including a rich cultural heritage aged by thousands of years, with 47% of Hebron district population under 14 years old. Being the biggest Palestinian district, Hebron has thousands of industrial and economical organizations beside a large agricultural sector at Palestine level. This gives Hebron a potential to play major roles in developing a national sustainability plan, as the current urban planning system in Palestine needs urgent reform and development to fulfill the sustainability requirement. The municipalities and ministers should find permanent financial aid for urban planning and development studies so as to face future challenges. The Palestinian government can benefit from available local human resources in development projects; hence Palestinian people have sufficient qualifications in most sectors. The Palestinian people also can invest in the privet sector in Palestine in case businessmen have been encouraged and clear investment laws and plans have been developed. The study provides recommendations associated to the sustainable development in Palestine in general and Hebron, as a case study, in specific. Recommendations include increasing the privet sector as well as the public involvement in urban growth management, and stopping unplanned urban expansion, subjecting granting building permits of new projects to the no-harm environmental impact assessment, increasing the coordination and cooperation between localities and central bodies, protection and renovation of old cites and green areas, increasing the quality and quantity of infrastructure services, establishing district urban planning department to coordinate and organize urban planning and sustainable development activities. Also, among recommendations come dividing Hebron into three planning and administrative areas (north, central and south), and dividing the sustainable development and implementation period (2010 to 2025) into three main phases. Finally, the study strongly recommends benefiting from the same urban development plans in similar districts at national and international levels, also to use new technologies and information systems in urban planning process.

Non-University Higher Education and the Relationship of Its Graduates and the World of Work: Colombia

The non-university sector has been part of the Colombian higher education system for more than 50-years. Despite its long years of existence, it has never occupied such an important role within the education system as the one it is having today. Therefore, the aim of this work is to analyze the development of the non-university sector in the framework of the country’s social, educational and economic demands. Likewise, its actual situation and certain aspects of the relationship between its graduates and the world of work, i.e., graduates’ employment characteristics, the relationship of higher education studies and their work, as well as their early career success, are examined. In order to generate the required information, a graduate survey was carried out in Atlántico (Colombia). The target population was graduates from higher education institutions registered in Atlántico who were awarded a technical, technological or professional degree in 2008 from any of the following knowledge areas: Fine Arts, Health Science, Economy-Administration-Accountancy and similar, and Engineering-Architecture-Urban planning and similar. Besides, interviews with academic and administrative staff from non-university institutions were carried out, and higher education related documents were analyzed. As a whole, the findings suggest that the non-university sector is expanding and may help to achieve some of the goals, for which it is widely promoted i.e., access expansion for under-represented groups, enhancement of the higher education system, and the provision of programs pertinent to the needs of the market. Nevertheless, some aspects require further consideration, e.g., the sector’s consolidation within the system and its quality. As for the relationship between non-university higher education and the world of work, it was found to be close; particularly in those aspects related to the use of knowledge and skills in the work, and the relationship between graduates’ studies and their work. Additionally, the analysis of the graduates’ in their early career stages exposes the significant role that the socioeconomic stratum plays in their working life, particularly in their wages. This indicates that apart from education, other factors like the graduates’ economic or social capital may have an impact on their future work perspectives

Collaborative learning activities in the classroom : designing inclusive materials for learning and language development.

Este cuadernillo quiere ser un catalizador que motive a los estudiantes a pensar y hablar sobre un tema relevante. Hablar les ofrece la oportunidad de reflexionar, pensar, y expresar con palabras, una nueva forma de aprendizaje y de probar su comprensión de una situación, o en otras palabras 'pensar en voz alta'. Este proceso de reflexión en voz alta permite a los alumnos explorar nuevos conceptos de información y construir su comprensión de ellos, al responder a las preguntas de otros estudiantes y, obtener una respuesta, a su vez, a sus propias ideas.

A framework for revitalisation of rural education and training systems in sub-Saharan Africa: Strengthening the human resource base for food security and sustainable livelihoods

Recent studies of the current state of rural education and training (RET) systems in sub-Saharan Africa have assessed their ability to provide for the learning needs essential for more knowledgeable and productive small-scale rural households. These are most necessary if the endemic causes of rural poverty (poor nutrition, lack of sustainable livelihoods, etc.) are to be overcome. A brief historical background and analysis of the major current constraints to improvement in the sector are discussed. Paramount among those factors leading to its present 'malaise' is the lack of a whole-systems perspective and the absence of any coherent policy framework in most countries. There is evidence of some recent innovations, both in the public sector and through the work of non-governmental organisations (NGOs), civil society organisations (CSOs) and other private bodies. These provide hope of a new sense of direction that could lead towards meaningful 'revitalisation' of the sector. A suggested framework offers 10 key steps which, it is argued, could largely be achieved with modest internal resources and very little external support, provided that the necessary leadership and managerial capacities are in place. (C) 2006 Elsevier Ltd. All rights reserved.

Overview of an innovative EU-China collaboration in education and research in sustainable built environment

This paper introduces an international collaboration of EU and Asia in education, training and research in the field of sustainable built environment, which attempts to develop a network of practical and intellectual knowledge and training exchange between Chinese and European Universities in the field of sustainable building design and construction. The projects funded by the European Commission Asia Link program, UK Foreign & Commonwealth Office, British Council and the UK Engineering Physical Sciences Council (EPSRC) have been introduced. The projects have significant impacts on promoting sustainable development in built environment in China. The aim of this paper is to share the experiences with those who are interested and searching the ways to collaborate with China in education and research.

Modelling: promoting creativity whilst forging links between science education and design and technology education

Educational reforms in many countries currently call for the development of knowledge-based societies. In particular, emphasis is placed on the promotion of creativity, especially in the areas of science education and of design and technology education. In this paper, perceptions of the nature of creativity and of the conditions for its realization are discussed. The notion of modelling as a creative act is outlined and the scope for using modelling as a bridge between science education and design and technology education explored. A model for the creative act of modelling is proposed and its major aspects elaborated upon. Finally, strategies for forging links between the two subjects are outlined.

Language, education and ethnicity: whose rights will prevail in an age of globalisation?

Education and ethnicity cannot be discussed without taking language into account. This paper will argue that any discussion of ethnic minorities cannot ignore the question of language, nor can any discussion of human rights ignore the question of language rights. Unfortunately, in today's globalised world, governments and minorities are faced with conflicting pressures: on the one hand, for the development and use of education in a global/international language; on the other for the use and development of mother tongue, local or indigenous languages in education. Language complexity and ethnic plurality were largely brought about as a result of the creation of nation-states, which were spread around the world as a result of European colonialism. European languages and formal education systems were used as a means of political and economic control. The legacy that was left by the colonial powers has complicated ethnic relations and has frequently led to conflict. While there is now greater recognition of the importance of language both for economic and educational development, as well as for human rights, the forces of globalisation are leading towards uniformity in the languages used, in culture and even in education. They are working against the development of language rights for smaller groups. We are witnessing a sharp decline in the number of languages spoken. Only those languages which are numerically, economically and politically strong are likely to survive. As a result many linguistic and ethnic groups are in danger of being further marginalised. This paper will illustrate this thesis both historically and from several contemporary societies, showing how certain policies have exacerbated ethnic conflict while others are seeking to promote harmony and reconciliation. Why this should be so will be explored. (c) 2006 Elsevier Ltd. All rights reserved.

Promoting mother–infant book sharing and infant attention and language development in an impoverished South African population: a pilot study

The low rates of child literacy in South Africa are cause for considerable concern. Research from the developed world shows that parental sharing of picture books with infants and young children is beneficial for child language and cognitive development, as well as literacy skills. We conducted a pilot study to examine whether such benefits might extend to an impoverished community in South Africa, by evaluating the impact of training mothers in book sharing with their 14–18 month old infants. Seventeen mothers received book sharing training; and 13 mothers did not, but instead received a comparison training in toy play. We assessed the mothers’ behavior during both book sharing and toy play before and after training, and we also assessed infant attention and language. Mothers receiving book sharing training engaged well with it, and they also benefited from it; thus, compared to the comparison group mothers, they became more sensitive, more facilitating, and more elaborative with their infants during book sharing, and they also became more sensitive to their infants during toy play. In addition, infants whose mothers received the book sharing training showed greater benefits than the comparison group infants in both their attention and language. Training in book sharing for families living in conditions of marked socio-economic adversity in South Africa has the potential to be of considerable benefit to child developmental progress. A large scale controlled trial is required to confirm this.

Morphological awareness and reading development in bilingual English-Chinese children in Singapore

Addressing two aspects of morphological awareness – derivational and compound, this study investigates the relationships between morphological awareness and vocabulary and reading comprehension in English-Chinese bilingual primary 3 children in Singapore (N = 76). Comparable tasks in Chinese and English were administered to examine the children’s morphological awareness, vocabulary, and reading comprehension. The results show that morphological awareness is highly related to vocabulary and reading comprehension, with higher correlations between morphological awareness and reading comprehension than between morphological awareness and vocabulary. This indicates that morphological awareness may have direct influence on reading comprehension beyond the mediating effect of vocabulary. Furthermore, the results indicate that children displayed more compound than derivational morphological awareness for Chinese due to the dominance of compound morphology in Chinese. However the children also displayed similar levels of derivational and compound morphological awareness for English despite far more derivatives than compounds in English. The robust cross-linguistic correlations suggest that Chinese compound morphological knowledge plays a facilitating role not only in learning English compounds, but also in learning transparently derived words that do not involve phonological or orthographic shifts.

Ability of students to recognize the relationship between using mobile apps for learning during fieldwork and the development of graduate attributes

The increasing importance of employability in Higher Education curricula and the prevalence of using mobile devices for fieldbased learning prompted an investigation into student awareness of the relationship between the use of mobile apps for learning and the development of graduate attributes (GAs) (and the link to employability). The results from post-fieldwork focus groups from four field courses indicated that students could make clear links between the use of a variety of mobile apps and graduate attribute development. The study suggests a number of mobile apps can align simultaneously with more than one graduate attribute. Furthermore, prior experience and the context of use can influence students’ perceptions of an app and its link with different GAs.

Influence of education and depressive symptoms on cognitive function in the elderly

Objective: The purpose of the present study was to investigate the influence that education and depression have on the performance of elderly people in neuropsychological tests. Methods: The study was conducted at the Institute of Psychiatry, University of Sao Paulo School of Medicine, Hospital das Clinicas. All of the individuals evaluated were aged 60 or older. The study sample consisted of 59 outpatients with depressive disorders and 51 healthy controls. We stratified the sample by level of education: low = 1-4 years of schooling; high = 5 or more years of schooling. Evaluations consisted of psychiatric assessment, cognitive assessment, laboratory tests and cerebral magnetic resonance imaging. Results: We found that level of education influenced all the measures of cognitive domains investigated (intellectual efficiency, processing speed, attention, executive function and memory) except the Digit Span Forward and Fuld Object Memory Evaluation (immediate and delayed recall), whereas depressive symptoms influenced some measures of memory, attention, executive function and processing speed. Although the combination of a low level of education and depression had a significant negative influence on Stroop Test part B, Trail Making Test part B and Logical Memory (immediate recall), we found no other significant effects of the interaction between level of education and depression. Conclusion: The results of this study underscore the importance of considering the level of education in the analysis of cognitive performance in depressed elderly patients, as well as the relevance of developing new cognitive function tests in which level of education has a reduced impact on the results.

Education and Earnings for Poverty Reduction : Short-Term Evidence of Pro-Poor Growth from the Mexican Oportunidades Program

Education, as an indispensable component of human capital, has been acknowledged to play a critical role in economic growth, which is theoretically elaborated by human capital theory and empirically confirmed by evidence from different parts of the world. The educational impact on growth is especially valuable and meaningful when it is for the sake of poverty reduction and pro-poorness of growth. The paper re-explores the precious link between human capital development and poverty reduction by investigating the causal effect of education accumulation on earnings enhancement for anti-poverty and pro-poor growth. The analysis takes the evidence from a well-known conditional cash transfer (CCT) program — Oportunidades in Mexico. Aiming at alleviating poverty and promoting a better future by investing in human capital for children and youth in poverty, this CCT program has been recognized producing significant outcomes. The study investigates a short-term impact of education on earnings of the economically disadvantaged youth, taking the data of both the program’s treated and untreated youth from urban areas in Mexico from 2002 to 2004. Two econometric techniques, i.e. difference-in-differences and difference-in-differences propensity score matching approach are applied for estimation. The empirical analysis first identifies that youth who under the program’s schooling intervention possess an advantage in educational attainment over their non-intervention peers; with this identification of education discrepancy as a prerequisite, further results then present that earnings of the education advantaged youth increase at a higher rate about 20 percent than earnings of their education disadvantaged peers over the two years. This result indicates a confirmation that education accumulation for the economically disadvantaged young has a positive impact on their earnings enhancement and thus inferring a contribution to poverty reduction and pro-poorness of growth.