How teachers think about the role of digital technologies in student assessment in mathematics

This study concerns teachers’ use of digital technologies in student assessment, and how the learning that is developed through the use of technology in mathematics can be evaluated. Nowadays math teachers use digital technologies in their teaching, but not in student assessment. The activities carried out with technology are seen as ‘extra-curricular’ (by both teachers and students), thus students do not learn what they can do in mathematics with digital technologies. I was interested in knowing the reasons teachers do not use digital technology to assess students’ competencies, and what they would need to be able to design innovative and appropriate tasks to assess students’ learning through digital technology. This dissertation is built on two main components: teachers and task design. I analyze teachers’ practices involving digital technologies with Ruthven’s Structuring Features of Classroom Practice, and what relation these practices have to the types of assessment they use. I study the kinds of assessment tasks teachers design with a DGE (Dynamic Geometry Environment), using Laborde’s categorization of DGE tasks. I consider the competencies teachers aim to assess with these tasks, and how their goals relate to the learning outcomes of the curriculum. This study also develops new directions in finding how to design suitable tasks for student mathematical assessment in a DGE, and it is driven by the desire to know what kinds of questions teachers might be more interested in using. I investigate the kinds of technology-based assessment tasks teachers value, and the type of feedback they give to students. Finally, I point out that the curriculum should include a range of mathematical and technological competencies that involve the use of digital technologies in mathematics, and I evaluate the possibility to take advantage of technology feedback to allow students to continue learning while they are taking a test.

Dynamic distance analysis : new geometric data structures and algorithms for the real-time calculation of tolerance violating regions in the digital mockup process

In vielen Industriezweigen, zum Beispiel in der Automobilindustrie, werden Digitale Versuchsmodelle (Digital MockUps) eingesetzt, um die Konstruktion und die Funktion eines Produkts am virtuellen Prototypen zu überprüfen. Ein Anwendungsfall ist dabei die Überprüfung von Sicherheitsabständen einzelner Bauteile, die sogenannte Abstandsanalyse. Ingenieure ermitteln dabei für bestimmte Bauteile, ob diese in ihrer Ruhelage sowie während einer Bewegung einen vorgegeben Sicherheitsabstand zu den umgebenden Bauteilen einhalten. Unterschreiten Bauteile den Sicherheitsabstand, so muss deren Form oder Lage verändert werden. Dazu ist es wichtig, die Bereiche der Bauteile, welche den Sicherhabstand verletzen, genau zu kennen. rnrnIn dieser Arbeit präsentieren wir eine Lösung zur Echtzeitberechnung aller den Sicherheitsabstand unterschreitenden Bereiche zwischen zwei geometrischen Objekten. Die Objekte sind dabei jeweils als Menge von Primitiven (z.B. Dreiecken) gegeben. Für jeden Zeitpunkt, in dem eine Transformation auf eines der Objekte angewendet wird, berechnen wir die Menge aller den Sicherheitsabstand unterschreitenden Primitive und bezeichnen diese als die Menge aller toleranzverletzenden Primitive. Wir präsentieren in dieser Arbeit eine ganzheitliche Lösung, welche sich in die folgenden drei großen Themengebiete unterteilen lässt.rnrnIm ersten Teil dieser Arbeit untersuchen wir Algorithmen, die für zwei Dreiecke überprüfen, ob diese toleranzverletzend sind. Hierfür präsentieren wir verschiedene Ansätze für Dreiecks-Dreiecks Toleranztests und zeigen, dass spezielle Toleranztests deutlich performanter sind als bisher verwendete Abstandsberechnungen. Im Fokus unserer Arbeit steht dabei die Entwicklung eines neuartigen Toleranztests, welcher im Dualraum arbeitet. In all unseren Benchmarks zur Berechnung aller toleranzverletzenden Primitive beweist sich unser Ansatz im dualen Raum immer als der Performanteste.rnrnDer zweite Teil dieser Arbeit befasst sich mit Datenstrukturen und Algorithmen zur Echtzeitberechnung aller toleranzverletzenden Primitive zwischen zwei geometrischen Objekten. Wir entwickeln eine kombinierte Datenstruktur, die sich aus einer flachen hierarchischen Datenstruktur und mehreren Uniform Grids zusammensetzt. Um effiziente Laufzeiten zu gewährleisten ist es vor allem wichtig, den geforderten Sicherheitsabstand sinnvoll im Design der Datenstrukturen und der Anfragealgorithmen zu beachten. Wir präsentieren hierzu Lösungen, die die Menge der zu testenden Paare von Primitiven schnell bestimmen. Darüber hinaus entwickeln wir Strategien, wie Primitive als toleranzverletzend erkannt werden können, ohne einen aufwändigen Primitiv-Primitiv Toleranztest zu berechnen. In unseren Benchmarks zeigen wir, dass wir mit unseren Lösungen in der Lage sind, in Echtzeit alle toleranzverletzenden Primitive zwischen zwei komplexen geometrischen Objekten, bestehend aus jeweils vielen hunderttausend Primitiven, zu berechnen. rnrnIm dritten Teil präsentieren wir eine neuartige, speicheroptimierte Datenstruktur zur Verwaltung der Zellinhalte der zuvor verwendeten Uniform Grids. Wir bezeichnen diese Datenstruktur als Shrubs. Bisherige Ansätze zur Speicheroptimierung von Uniform Grids beziehen sich vor allem auf Hashing Methoden. Diese reduzieren aber nicht den Speicherverbrauch der Zellinhalte. In unserem Anwendungsfall haben benachbarte Zellen oft ähnliche Inhalte. Unser Ansatz ist in der Lage, den Speicherbedarf der Zellinhalte eines Uniform Grids, basierend auf den redundanten Zellinhalten, verlustlos auf ein fünftel der bisherigen Größe zu komprimieren und zur Laufzeit zu dekomprimieren.rnrnAbschießend zeigen wir, wie unsere Lösung zur Berechnung aller toleranzverletzenden Primitive Anwendung in der Praxis finden kann. Neben der reinen Abstandsanalyse zeigen wir Anwendungen für verschiedene Problemstellungen der Pfadplanung.

Compressed sensing in digital tomosynthesis reconstruction

In this work we study a model for the breast image reconstruction in Digital Tomosynthesis, that is a non-invasive and non-destructive method for the three-dimensional visualization of the inner structures of an object, in which the data acquisition includes measuring a limited number of low-dose two-dimensional projections of an object by moving a detector and an X-ray tube around the object within a limited angular range. The problem of reconstructing 3D images from the projections provided in the Digital Tomosynthesis is an ill-posed inverse problem, that leads to a minimization problem with an object function that contains a data fitting term and a regularization term. The contribution of this thesis is to use the techniques of the compressed sensing, in particular replacing the standard least squares problem of data fitting with the problem of minimizing the 1-norm of the residuals, and using as regularization term the Total Variation (TV). We tested two different algorithms: a new alternating minimization algorithm (ADM), and a version of the more standard scaled projected gradient algorithm (SGP) that involves the 1-norm. We perform some experiments and analyse the performance of the two methods comparing relative errors, iterations number, times and the qualities of the reconstructed images. In conclusion we noticed that the use of the 1-norm and the Total Variation are valid tools in the formulation of the minimization problem for the image reconstruction resulting from Digital Tomosynthesis and the new algorithm ADM has reached a relative error comparable to a version of the classic algorithm SGP and proved best in speed and in the early appearance of the structures representing the masses.

A simple tool for stereological assessment of digital images: the STEPanizer

STEPanizer is an easy-to-use computer-based software tool for the stereological assessment of digitally captured images from all kinds of microscopical (LM, TEM, LSM) and macroscopical (radiology, tomography) imaging modalities. The program design focuses on providing the user a defined workflow adapted to most basic stereological tasks. The software is compact, that is user friendly without being bulky. STEPanizer comprises the creation of test systems, the appropriate display of digital images with superimposed test systems, a scaling facility, a counting module and an export function for the transfer of results to spreadsheet programs. Here we describe the major workflow of the tool illustrating the application on two examples from transmission electron microscopy and light microscopy, respectively.

An action research strategy for selecting and conducting program evaluations.

Describes a strategy for school psychologists to use in selecting the types of program evaluation required to meet system needs. Dimensions of program evaluation—target, purpose, and stage—relevant to school psychologists are described and defined and combined into a conceptual framework indicating 48 different types of program evaluation. The proposed model incorporates relevant aspects of existing program evaluation strategies and action research, affording practitioners a strategy for selecting and conducting program evaluations. Suggested steps for implementing the action research strategy, as well as a hypothetical example of its use, are offered.

The Little Metropolis: Religion, Politics, & Spolia

There have been numerous councils throughout the Catholic Church?s history. From the First Council of Nicaea in 325 CE to Vatican II in 1962, only a few centuries have passed without any major church doctrinal change. Following hand in hand with changes in doctrine came the bifurcation of the Christian Church into the Roman CatholicChurch and the Orthodox Church. The first split came in 325 CE with Arianism. Arius of Alexandria and his followers did not agree with the Catholic Church?s viewpoint that the son, Jesus, should be on equal footing with the Father and the Holy Spirit. Constantine the Great brought the Arianism debate to the First Council of Nicaea,which declared Arianism a heretical religion. The following Catholic council?s decisions separated the two Churches even more, eventually creating the formal separation of the Church during the East-West Schism in the middle of the 11th century. Although the twoChurches constantly tried to unite, the Churches hit speed bumps along the way. Eventually, the 1274 Second Council of Lyons officially united the two Churches, even if only for an ephemeral time. At first glance, it might not seem that much resulted from the 1274 Second Council of Lyons. Almost immediately after the council?s ruling, the two Churches split again. Little is known as to why the 1274 Second Council of Lyons ultimately failed in its unification attempt. In this thesis, I will examine the churches of the Little Metropolis at Athens, Merbaka in the Argolid, and Agioi Theodoroi in Athens. In detailing the architectural features of these buildings, I will reconstruct the church building program in association with the 1274 Second Council of Lyons. I will also compare these churchesusing historical sources to keep the sociological, religious, political, and historical context accurate.

The Bucknell Community College Scholarship Program: a Documentary as a Performative Social Science

Reviews Bucknell participation with the Jack Kent Cooke Foundation (a non-profit foundation with a mission to “help under-resourced students of exceptional promise reach their full potential through education".

Evaluating Bucknell's Waste Stream

This thesis examines three questions regarding the content of Bucknell University‟s waste stream and the contributors to campus recycling and solid waste disposal. The first asks, “What does Bucknell‟s waste stream consist of?” To answer this question, I designed a campus-wide waste audit procedure that sampled one dumpster from each of the eleven „activity‟ types on campus in order to better understand Bucknell‟s waste composition. The audit was implemented during the Fall semester of the 2011-2012 school year. The waste from each dumpster was sorted into several recyclable and non-recyclable categories and then weighed individually. Results showed the Bison and Carpenter Shop dumpsters to contain the highest percentage of divertible materials (through recycling and/or composting). When extrapolated, results also showed the Dining Services buildings and Facilities buildings to be the most waste dense in terms of pounds of waste generated per square foot. The Bison also generated the most overall waste by weight. The average composition of all dumpsters revealed that organic waste composed 24% of all waste, 23% was non-recyclable paper, and 20% was non-recyclable plastic. It will be important to move forward using these results to help create effective waste programs that target the appropriate areas of concern. My second question asks, “What influences waste behavior to contribute to this „picture‟ of the waste stream?” To answer this question, I created a survey that was sent out to randomly selected sub-group of the university‟s three constituencies: students, faculty, and staff. The survey sought responses regarding each constituency‟s solid waste disposal and recycling behavior, attitudes toward recycling, and motivating factors for solid waste disposal behaviors across different sectors of the university. Using regression analysis, I found three statistically significant motivating factors that influence solid waste disposal behavior: knowledge and awareness, moral value, and social norms. I further examined how a person‟s characteristics associate to these motivating factors and found that one‟s position on campus proved a significant association. Consistently, faculty and staff were strongly influenced by the aforementioned motivating factors, while students‟ behavior was less influenced by them. This suggests that new waste programs should target students to help increase the influence of these motivators to improve the recycling rate and lower overall solid waste disposal on campus. After making overall conclusions regarding the waste audit and survey, I ask my third question, which inquires, “What actions can Bucknell take to increase recycling rates and decrease solid waste generation?” Bucknell currently features several recycling and waste minimization programs on campus. However, using results from the waste audit and campus survey, we can better understand what are the issues of the waste stream, how do we go about addressing these issues, and who needs to be addressed. I propose several suggestions for projects that future students may take on for summer or thesis research. Suggestions include targeting the appropriate categories of waste that occur most frequently in the waste stream, as well as the building types that have the highest waste density and potential recovery rates. Additionally, certain groups on campus should be targeted more directly than others, namely the student body, which demonstrates the lowest influence by motivators of recycling and waste behavior. Several variables were identified as significant motivators of waste and recycling behavior, and could be used as program tactics to encourage more effective behavior.

AN EXAMINATION OF THE STARS-PAC ANXIETY INTERVENTION PROGRAM AND ITS EFFECTS ON DECREASING SOCIAL AND TEST ANXIETY

The current case study examined the effects of the STARS-PAC anxiety reduction program on the social and test anxiety levels of a middle school student. The literature supporting the effectiveness of cognitive behavioral therapy programs which incorporate methods such as those used in the STARS-PAC program were reviewed. The findings of this case study indicated decreased levels of overall anxiety during the intervention phase; however, the student’s test anxiety level displayed little improvement. Implications of the findings and for future research are discussed.

Restructuring Justice: Moving Towards Gender-Responsive Programming and Alternatives to Incarceration for Non-Violent Female Offenders

The United States¿ Federal and State laws differentiate between acceptable (or, legal) and unacceptable (illegal) behavior by prescribing restrictive punishment to citizens and/or groups that violate these established rules. These regulations are written to treat every person equally and to fairly serve justice; furthermore, the sanctions placed on offenders seek to reform illegal behavior through limitations on freedoms and rehabilitative programs. Despite the effort to treat all offenders fairly regardless of social identity categories (e.g., sex, race, ethnicity, socioeconomic status, age, ability, and gender and sexual orientation) and to humanely eliminate illegal behavior, the American penal system perpetuates de facto discrimination against a multitude of peoples. Furthermore, soaring recidivism rates caused by unsuccessful re-entry of incarcerated offenders puts economic stress on Federal and State budgets. For these reasons, offenders, policy-makers, and law-abiding citizens should all have a vested interest in reforming the prison system. This thesis focuses on the failure of the United States corrections system to adequately address the gender-specific needs of non-violent female offenders. Several factors contribute to the gender-specific discrimination that women experience in the criminal justice system: 1) Trends in female criminality that skew women¿s crime towards drug-related crimes, prostitution, and property offenses; 2) Mandatory minimum sentences for drug crimes that are disproportionate to the crime committed; 3) So-called ¿gender-neutral¿ educational, vocational, substance abuse, and mental health programming that intends to equally rehabilitate men and women, but in fact favors men; and 4) The isolating nature of prison structures that inhibits smooth re-entry into society. I argue that a shift in the placement and treatment of non-violent female offenders is necessary for effective rehabilitation and for reducing recidivism rates. The first component of this shift is the design and implementation of gender- responsive treatment (GRT) rather than gender-neutral approaches in rehabilitative programming. The second shift is the utilization of alternatives to incarceration, which provide both more humane treatment of offenders and smoother reintegration to society. Drawing on recent scholarship, information from prison advocacy organizations, and research with men in an alternative program, I provide a critical analysis of current policies and alternative programs, and suggest several proposals for future gender- responsive programs in prisons and in place of incarceration. I argue that the expansion of gender-responsive programming and alternatives to incarceration respond to the marginalization of female offenders, address concerns about the financial sustainability of the United States criminal justice system, and tackle high recidivism rates.

Linking Research and Practice: The Fellowship Program in Applied Gerontology

The Gerontological Society of America encourages policymakers and program directors in the field of aging to make policy and program decisions based on applied research. To aid in achieving this goal, the Society conducts the Fellowship Program in Applied Gerontology (FPAG), which places postdoctoral academic gerontologists for 3 months in agencies and organizations that plan or deliver services to older people. The program's history and accomplishments are described and up-dated.

Use of a State-Level Pharmaceutical Assistance Program Among Urban and Rural Elders

A number of state-level pharmaceutical assistance programs have been established as a result of the growing recognition of the role of pharmaceuticals in the long-term care of the elderly. However, existing research does not provide a coherent expectation for patterns of use by rural and urban elderly. The data for this analysis are drawn from a larger study of the Pennsylvania Pharmaceutical Assistance Contract for the Elderly (PACE). PACE provides prescription medicines for elderly who meet income requirements. The research project was designed to assess the characteristics of PACE program participants and non-participants on a wide range of issues. Chi-square analysis and regression models were used to assess the association between rural and urban residence and access to the PACE Program. The results indicate that rural/urban status of the elderly is not a significant predictor of the use of PACE. Other traditional variables (e.g., health self-rating and physician visits) did predict difference in the pattern of use.

Response Bias Using Two-Stage Data Collection: A study of elderly participants in a program.

Researchers examining the effects of programs, in this case a state-level pharmaceutical assistance program for the elderly, sometimes must rely on multiple methods of data collection. Two-stage data collection (e.g., a telephone interview followed by a mail questionnaire) was used to obtain a full range of information. Older age groups were found to participate less frequently in the telephone interview, while certain demographic factors characterized mail questionnaire nonparticipants, all of which supports past research. Results also show that those in the poorest health are less likely to participate in the mail survey. Combining the two methods did not result in high attrition, suggesting that innovation can be successfully employed. Knowledge of the bias associated with each method will aid in targeting special groups.

State Pharmaceutical Assisstance for the Elderly and Disabled: Planning Issues for Program and Non-Program States

The Medicare Catastrophic Coverage Act (MCCA) would have mandated federal assistance for Medicare beneficiaries who have high annual prescription medication costs, High national expenditures for such drugs have encouraged the development of private and state insurance programs to help with these costs. Ten state pharmaceutical assistance programs (SPAPs), designed to help certain elderly, low income, or disabled people, exist for those ineligible for Medicaid or unable to purchase coverage privately. Coordination of state and federal benefits was a consideration for established programs, and programs being planned needed to determine the feasibity of integration of federal assistance. But the enactment and subsequent appeal of the Act affected both planning and policy implications for these SPAPs. All U.S. states and territories were surveyed before the bill's repeal to collect data on the effects of MCCA for those with prescription drug programs and those without. The repeal of the federal program places pressure on the nonprogram states to proceed, perhaps more cautiously, to initiate program; for their own residents, given increasing out-of-pocket and insurance costs, and no federal program.

Does Mental Illness Affect Consumer Direction of Community-Based Care? Lessons From the Arkansas Cash and Counseling Program

Purpose: Previous research from the Cash and Counseling Demonstration and Evaluation (CCDE) in Arkansas, New Jersey, and Florida suggests that giving consumers control over their personal care greatly increases their satisfaction and improves their outlook on life. Still, some argue that consumerdirected care may not be appropriate for consumers with intellectual disabilities or mental health diagnoses. This study examined how Cash and Counseling— a new option allowing consumers to manage an individualized budget equivalent to what agencies would have spent on their care—changes the way consumers with mental health diagnoses meet their personal care needs and how that affects their wellbeing. Design and Methods: Using the Arkansas CCDE baseline and the 9-month follow-up data for individuals in the treatment and control groups, we compared and contrasted the experience of elderly consumers with and without mental health diagnoses utilizing logit regression. Results: After examining several outcome measures, including satisfaction with care arrangements and the paid caregiver’s reliability and schedule, unmet needs, and satisfaction with the relationship with paid caregivers, this study found evidence that, from the perspective of consumers, the Cash and Counseling program works well for participants with mental health diagnoses. Implications: Considering the growing need for long-term-care services and the limited resources available, a consumer-directed option makes sense, and it can be a valuable alternative for persons with mental health needs.