How Students Study? An Analysis of Learning Strategies in Engineering and Technology Courses

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2014

Problems in physics and mathematics contexts with middle and high school classes: vertical and horizontal comparison

My thesis falls within the framework of physics education and teaching of mathematics. The objective of this report was made possible by using geometrical (in mathematics) and qualitative (in physics) problems. We have prepared four (resp. three) open answer exercises for mathematics (resp. physics). The test batch has been selected across two different school phases: end of the middle school (third year, 8\textsuperscript{th} grade) and beginning of high school (second and third year, 10\textsuperscript{th} and 11\textsuperscript{th} grades respectively). High school students achieved the best results in almost every problem, but 10\textsuperscript{th} grade students got the best overall results. Moreover, a clear tendency to not even try qualitative problems resolution has emerged from the first collection of graphs, regardless of subject and grade. In order to improve students' problem-solving skills, it is worth to invest on vertical learning and spiral curricula. It would make sense to establish a stronger and clearer connection between physics and mathematical knowledge through an interdisciplinary approach.

An ASsessment of Relationship between Students' Perception of Social Studies and their Academic Performance in Colleges of Education in Kaduna State

The objective of this study was to find out the relationship between students’ perception of Social Studies and their academic performance in the subject in Colleges of Education in Kaduna State. The respondents of the study comprised NCE 2 and NCE 3 students of Social Studies at the Federal College of Education in Zaria and the Kaduna State College of Education in Gidan Waya. The data for the study was collected using a questionnaire with reliability coefficient of 0.87. The Pearson’s Product Moment Correlation Coefficient was used to test the hypotheses formulated for the study. The hypotheses were tested at 0.05 level of significance with df = 232. The findings were as follows: 1. The Social Studies students in colleges of education in Kaduna State do not record high academic performance in the subject. 2. Students’ perception of the Social Studies curriculum does affect their academic performance in the subject 3. Students’ perception of relevance of Social Studies education has no bearing on their academic performance in the subject. 4. Students’ perception of public attitude towards Social Studies has no impact on their academic performance in the subject. 5. Students’ general perception of Social Studies does not affect their academic performance in the subject. Based on these findings the following recommendations were proffered for Social Studies researchers and policy makers. a. There is need for further research in order to determine the actual cause of students’ failure to display high performance in Social Studies. b. The NCE Social Studies curriculum should be reviewed in terms of volume and difficulty.

Teaching mathematics and programming : new approaches with empirical evaluation

Programming and mathematics are core areas of computer science (CS) and consequently also important parts of CS education. Introductory instruction in these two topics is, however, not without problems. Studies show that CS students find programming difficult to learn and that teaching mathematical topics to CS novices is challenging. One reason for the latter is the disconnection between mathematics and programming found in many CS curricula, which results in students not seeing the relevance of the subject for their studies. In addition, reports indicate that students' mathematical capability and maturity levels are dropping. The challenges faced when teaching mathematics and programming at CS departments can also be traced back to gaps in students' prior education. In Finland the high school curriculum does not include CS as a subject; instead, focus is on learning to use the computer and its applications as tools. Similarly, many of the mathematics courses emphasize application of formulas, while logic, formalisms and proofs, which are important in CS, are avoided. Consequently, high school graduates are not well prepared for studies in CS. Motivated by these challenges, the goal of the present work is to describe new approaches to teaching mathematics and programming aimed at addressing these issues: Structured derivations is a logic-based approach to teaching mathematics, where formalisms and justifications are made explicit. The aim is to help students become better at communicating their reasoning using mathematical language and logical notation at the same time as they become more confident with formalisms. The Python programming language was originally designed with education in mind, and has a simple syntax compared to many other popular languages. The aim of using it in instruction is to address algorithms and their implementation in a way that allows focus to be put on learning algorithmic thinking and programming instead of on learning a complex syntax. Invariant based programming is a diagrammatic approach to developing programs that are correct by construction. The approach is based on elementary propositional and predicate logic, and makes explicit the underlying mathematical foundations of programming. The aim is also to show how mathematics in general, and logic in particular, can be used to create better programs.

Adolescent girls and mathematics: classroom performance, attitudes toward mathematics and perceptions of parental attitudes /

The purpose of this study was to determine the extent to which gender differences exist in student attitudes toward mathematics and in their performance in mathematics at the Grade Seven and Eight level. The study also questioned how parents influence the attitudes of this grade level of male and female students toward mathematics. Historically, the literature has demonstrated gender differences in the attitudes of students toward mathematics, and in parental support for classroom performance in mathematics. This study was an attempt to examine these differences at one senior public school in the Peel Board of Education. One hundred three Grade Seven and Eight students at a middle school in the Peel Board of Education volunteered to take part in a survey that examined their attitudes toward mathematics, their perceptions of their parents' attitudes toward mathematics and support for good performance in the mathematics classroom, parental expectations for education and future career choices. Gender differences related to performance levels in the mathematics classroom were examined using Pearson contingency analyses. Items from the survey that showed significant differences involved confidence in mathematics and confidence in writing mathematics tests, as well as a belief in the ability to work on mathematics problems. Male students in both the high and low performance groups demonstrated higher levels of confidence than the females in those groups. Female students, however, indicated interest in careers that would require training and knowledge of higher mathematics. Some of the reasons given to explain the gender differences in confidence levels included socialization pressures on females, peer acceptance, and attribution of success. Perceived parental support showed no significant differences across gender groups or performance levels. Possible explanations dealt with the family structure of the participants in the study. Studies that, in the past, have demonstrated gender differences in confidence levels were supported by this study, and discussed in detail. Studies that reported on differences in parental support for student performance, based on the gender of the parent, were not confirmed by this study, and reasons for this were also discussed. The implications for the classroom include: 1) build on the female students' strengths that will allow them to enjoy their experiences in mathematics; 2) stop using the boys as a comparison group; and 3) make students more aware of the need to continue studying mathematics to ensure a wider choice of future careers.

Vocational Higher Secondary Education in Kerala: A Status Study of Students, Pass Outs and Training Components

This study analyses the socio-economic backgrounds and entrepreneurial profiles of the students and pass outs of the Vocational Higher Secondary Education in Kerala and the academic achievements of the Vocational Higher Secondary students and pass outs in Kerala in terms of their performance in the examinations. The study also analyses the quality and availability of the various training and support facilities of the Vocational Higher Secondary Schools in Kerala, nature and rate of employment and higher studies among the pass outs of the Vocational Higher Secondary Education in Kerala and the awareness of students, pass outs, teachers and principals regarding the goals and objectives, mode of implementation, apprenticeship training and higher study and employment opportunities of the programme of the Vocational Higher Secondary Education in Kerala.

Applications and modelling in mathematics teaching

The aim of this paper is a comprehensive presentation of some important basic and general aspects of the topic applications and modelling, with emphasis on the secondary school level. Owing to the review character of this paper, some overlap with the survey paper Blum and Niss (1989) for ICME-6 in Budapest is inevitable. The paper will consist of three parts. In part 1, I shall try to clarify some basic concepts and remind the reader of a few application and modelling examples suitable for teaching. In part 2, I shall formulate some general aims for mathematics instruction and, on that basis, summarise the most important arguments for and against applications and modelling in mathematics teaching. Finally, in part 3, I shall discuss some relevant instructional aspects resulting from the considerations in part 2.

Private Higher Education in the Sultanate of Oman: Rationales, Development and Challenges

Diese Studie stellt die Entwicklung des privaten Hochschulbereichs im Oman dar und analysiert sie auf die damit verbundenen Erwartungen. Sie untersucht die wesentlichen Herausforderungen, denen sich dieser Sektor zu stellen hat, und formuliert einige Empfehlungen, um die Rolle der privaten Hochschulbildung im Oman zu fördern. Um die Situation in Oman einordnen zu konnen, wurde die Literatur zu Systemen der privaten Hochschulbildung in verschiedenen Ländern vergleichend aufgearbeitet. Der Autor dieser Dissertation hat zudem zahlreiche offizielle Dokumente, Statistiken der Regierung, Berichte, Korrespondenzen und auch unveröffentlichtes Material zum Thema Bildung, Wirtschaft und zur Personalentwicklung geprüft und analysiert. Halb-strukturierte Interviews wurden mit Präsidenten und Dekanen privater Hochschulen sowie mit einigen externen Akteuren durchgeführt, um die Stärken und Schwächen, Herausforderungen und Ziele des privaten Hochschulsektors in Oman zu analysieren.

Education and training futures in horticulture and horticultural science

Horticultural knowledge and skills training have been with humankind for some 10,000 to 20,000 years. With permanent settlement and rising wealth and trade, horticulture products and services became a source of fresh food for daily consumption, and a source of plant material in developing a quality environment and lifestyle. The knowledge of horticulture and the skills of its practitioners have been demonstrated through the advancing civilizations in both eastern and western countries. With the rise of the Agricultural Revolutions in Great Britain, and more widely across Continental Europe in the 17th and 18th centuries, as well as the move towards colonisation and early migration to the New Worlds, many westernised countries established the early institutions that would provide education and training in agriculture and horticulture. Today many of these colleges and universities provide undergraduate, postgraduate and vocational and technical training that specifically targets horticulture and/or horticultural science with some research and teaching institutions also providing extension and advisory services to industry. The objective of this chapter is to describe the wider pedagogic and educational context in which those concerned with horticulture operate, the institutional structures that target horticulture and horticultural science education and training internationally; examine changing educational formats, especially distance education; and consider strategies for attracting and retaining young people in the delivery of world-class horticultural education. In this chapter we set the context by investigating the horticultural education and training options available, the constraints that prevent young people entering horticulture, and suggest strategies that would attract and retain these students. We suggest that effective strategies and partnerships be put in place by the institution, the government and most importantly the industry to provide for undergraduate and postgraduate education in horticulture and horticultural science; that educational and vocational training institutions, government, and industry need to work more effectively together to improve communication about horticulture and horticultural science in order to attract enrolments of more and talented students; and that the horticulture curriculum be continuously evaluated and revised so that it remains relevant to future challenges facing the industries of horticulture in the production, environmental and social spheres. These strategies can be used as a means to develop successful programs and case studies that would provide better information to high school career counsellors, improve the image of horticulture and encourage greater involvement from alumni and the industries in recruitment, provide opportunities to improve career aspirations, ensure improved levels of remuneration, and promote the social features of the profession and greater awareness and recognition of the profession in the wider community. A successful career in horticulture demands intellectual capacities which are capable of drawing knowledge from a wide field of basic sciences, economics and the humanities and integrating this into academic scholarship and practical technologies.

Association between education in EOL care and variability in EOL practice: a survey of ICU physicians

This study investigated the association between physician education in EOL and variability in EOL practice, as well as the differences between beliefs and practices regarding EOL in the ICU. Physicians from 11 ICUs at a university hospital completed a survey presenting a patient in a vegetative state with no family or advance directives. Questions addressed approaches to EOL care, as well physicians' personal, professional and EOL educational characteristics. The response rate was 89%, with 105 questionnaires analyzed. Mean age was 38 +/- A 8 years, with a mean of 14 +/- A 7 years since graduation. Physicians who did not apply do-not-resuscitate (DNR) orders were less likely to have attended EOL classes than those who applied written DNR orders [0/7 vs. 31/47, OR = 0.549 (0.356-0.848), P = 0.001]. Physicians who involved nurses in the decision-making process were more likely to be ICU specialists [17/22 vs. 46/83, OR = 4.1959 (1.271-13.845), P = 0.013] than physicians who made such decisions among themselves or referred to ethical or judicial committees. Physicians who would apply "full code" had less often read about EOL [3/22 vs. 11/20, OR = 0.0939 (0.012-0.710), P = 0.012] and had less interest in discussing EOL [17/22 vs. 20/20, OR = 0.210 (0.122-0.361), P < 0.001], than physicians who would withdraw life-sustaining therapies. Forty-four percent of respondents would not do what they believed was best for their patient, with 98% of them believing a less aggressive attitude preferable. Legal concerns were the leading cause for this dichotomy. Physician education about EOL is associated with variability in EOL decisions in the ICU. Moreover, actual practice may differ from what physicians believe is best for the patient.

Algorithmic Methods in Queues and in the Exploration of Point Processes

This is a review of methodology for the algorithmic study of some useful models in point process and queueing theory, as discussed in three lectures at the Summer Institute at Sozopol, Bulgaria. We provide references to sources where the extensive details of this work are found. For future investigation, some open problems and new methodological approaches are proposed.

Scaling and Multiscaling Exponents in Networks and Flows

The main focus of this paper is on mathematical theory and methods which have a direct bearing on problems involving multiscale phenomena. Modern technology is refining measurement and data collection to spatio-temporal scales on which observed geophysical phenomena are displayed as intrinsically highly variable and intermittant heirarchical structures,e.g. rainfall, turbulence, etc. The heirarchical structure is reflected in the occurence of a natural separation of scales which collectively manifest at some basic unit scale. Thus proper data analysis and inference require a mathematical framework which couples the variability over multiple decades of scale in which basic theoretical benchmarks can be identified and calculated. This continues the main theme of the research in this area of applied probability over the past twenty years.

Test for Independence of the Variables with Missing Elements in One and the Same Column of the Empirical Correlation Matrix

2000 Mathematics Subject Classification: 62H15, 62H12.

Harmonization of training and assessment of medical specialists in physical and rehabilitation medicine across Europe - The contribution of the UEMS Board of Physical and Rehabilitation Medicine

Background.- The main goals of the European Board of Physical and Rehabili-tation Medicine (EBPRM), founded in 1991 as the third speciality board of theUnion of European Medical Specialists (UEMS), are to harmonize pre-graduate,post-graduate and continuous medical education in physical and rehabilitationmedicine (PRM) all over Europe. The harmonization of curricula of the medi-cal specialities and the assessment of medical specialists has become one of thepriorities of the UEMS and its working groups to which the EBPRM contributes.Action.- The EBPRM will continue to promote a specific minimal undergraduatecurriculum on PRM including issues like disability, participation and handicapto be taught all over Europe as a basis for general medical practice. The EBPRMwill also expand the existing EBPRM postgraduate curriculum into a detailedcatalogue of learning objectives. This catalogue will serve as a tool to boostharmonization of the national curricula across Europe as well as to structurethe content of the MCQ examination. It would be a big step forward towardsharmonization of European PRM specialist training if an important number ofcountries would use the certifying MCQ examination of the Board as a part ofthe national assessments for PRM specialists.

The Welland Canals Foundation, Honourable William Hamilton Merritt and the St. Catharines Historical Society and Museum, 1971-1990, n.d.

‘The Father of Canadian Transportation’ is a term commonly associated with William Hamilton Merritt. Although he is most known for being one of the driving forces behind the building of the first Welland Canal, he was many things throughout his life; a soldier, merchant, promoter, entrepreneur and politician to name a few. Born on July 3, 1793 at Bedford, Westchester County, N.Y. to Thomas Merritt and Mary Hamilton, Merritt’s family relocated to Canada shortly after in 1796. The move came after Merritt’s father petitioned John Graves Simcoe for land in Upper Canada after serving under him in the Queen’s Rangers during the American Revolution. The family quickly settled into their life at Twelve Mile Creek in St. Catharines. Merritt’s father became sheriff of Lincoln County in 1803 while Merritt began his education in mathematics and surveying. After some brief travel and further education Merritt returned to Lincoln County, in 1809 to help farm his father’s land and open a general store. While a farmer and merchant, Merritt turned his attention to military endeavours. A short time after being commissioned as a Lieutenant in the Lincoln militia, the War of 1812 broke out. Fulfilling his duty, Merritt fought in the Battle of Queenston Heights in October of 1812, and numerous small battles until the Battle of Lundy’s Lane in July 1814. It was here that Merritt was captured and held in Cheshire, Massachusetts until the war ended. Arriving back in the St. Catharines area upon his release, Merritt returned to being a merchant, as well as becoming a surveyor and mill owner. Some historians hypothesize that the need to draw water to his mill was how the idea of the Welland Canals was born. Beginning with a plan to connect the Welland River with the Twelve mile creek quickly developed into a connection between the Lakes Erie and Ontario. Its main purpose was to improve the St. Lawrence transportation system and provide a convenient way to transport goods without having to go through the Niagara Falls portage. The plan was set in motion in 1818, but most living in Queenston and Niagara were not happy with it as it would drive business away from them. Along with the opposition came financial and political restraints. Despite these factors Merritt pushed on and the Welland Canal Company was chartered by the Upper Canadian Assembly on January 19, 1824. The first sod was turned on November 30, 1824 almost a year after the initial chartering. Many difficulties arose during the building of the canal including financial, physical, and geographic restrictions. Despite the difficulties two schooners passed through the canal on November 30, 1829. Throughout the next four years continual work was done on the canal as it expended and was modified to better accommodate large ships. After his canal was underway Merritt took a more active role in the political arena, where he served in various positions throughout Upper Canada. In 1851, Merritt withdrew from the Executive Council for numerous reasons, one of which being that pubic interest had diverted from the canals to railways. Merritt tried his hand at other public works outside transportation and trade. He looked into building a lunatic asylum, worked on behalf of War of 1812 veterans, aided in building Brock’s monument, established schools, aided refugee slaves from the U.S. and tried to establish a National Archives among many other feats. He was described by some as having “policy too liberal – conceptions too vast – views too comprehensive to be comprehensible by all”, but he still made a great difference in the society in which he lived. After his great contributions, Merritt died aboard a ship in the Cornwall canal on July 5, 1862. Dictionary of Canadian Biography Online http://www.biographi.ca/EN/ShowBio.asp?BioId=38719 retrieved October 2006 Today numerous groups carry on the legacy of Merritt and the canals both in the past and present. One such group is the Welland Canals Foundation. They describe themselves as: “. . . a volunteer organization which strives to promote the importance of the present and past Welland Canals, and to preserve their history and heritage. The Foundation began in 1980 and carries on events like William Hamilton Merritt Day. The group has strongly supported the Welland Canals Parkway initiative and numerous other activities”. The Welland Canals Foundation does not work alone. They have help from other local groups such as the St. Catharines Historical Society. The Society’s main objective is to increase knowledge and appreciation of the historical aspects of St. Catharines and vicinity, such as the Welland Canals. http://www.niagara.com/~dmdorey/hssc/dec2000.html - retrieved Oct. 2006 http://www.niagara.com/~dmdorey/hssc/feb2000.html - retrieved Oct. 2006