Using Non-Traditional Activities to Enhance Mathematical Connections

In this action research study of my classroom of seventh grade mathematics, I investigated the use of non-traditional activities to enhance mathematical connections. The types of nontraditional activities used were hands-on activities, written explanations, and oral communication that required students to apply a new mathematical concept to either prior knowledge or a realworld application. I discovered that the use of non-traditional activities helped me reach a variety of learners in my classroom. These activities also increased my students’ abilities to apply their mathematical knowledge to different applications. Having students explain their reasoning during non-traditional activities improved their communications skills, both orally and in writing. As a result of this research, I plan to incorporate more non-traditional activities into my curriculum. In doing so, I hope to continue to increase my students’ abilities to solve problems. I also plan to incorporate the use of written explanations of my students’ mathematical reasoning in order to continue to improve their communication of mathematics.

Zum Transport von partikelgebundenen Schadstoffen in der ungesättigten Zone

Bei einer Risikoabschätzung bezüglich einer Gefährdung des Schutzgutes Grundwasser müssen alle relevanten Transportpfade, auf denen Schadstoffe durch die Bodenzone bis ins Grundwasser verlagert werden, identifiziert und quantifiziert werden. Die Verlagerung von Schadstoffen gebunden an mobile Partikel im Sickerwasser wird dabei oft vernachlässigt. In dieser Arbeit wurden sowohl experimentelle Untersuchungen zum Partikeltransport in der Bodenzone als auch Szenarienmodellierungen hinsichtlich der Wechselwirkung Partikel/Schadstoff durchgeführt. Die experimentellen ungesättigten Säulenversuche wurden unter naturnahen stationären und instationären hydraulischen und hydrochemischen Bedingungen durchgeführt. Dabei wurde der Einfluss der Parameter Durchmesser Bodenmatrix, Partikelgröße, Beregnungsintensität, Oberflächenspannung und Hydrochemie auf den Transport von natürlichen und synthetischen Partikeln untersucht. Des Weiteren wurden Untersuchungen zur partikelgebundenen Verlagerung von Phenanthren durchgeführt. In einer numerischen Szenarienmodellierung mit dem Modell SMART wurde untersucht, unter welchen Randbedingungen der Transport von Partikeln gleichzeitig zu signifikanten partikelgebundenen Schadstoffkonzentrationen im Grundwasser führt. Dabei wurden die Parameter Lithologie Partikel/Boden, Hydrophobizität Schadstoff, Partikelkonzentration, Partikeldurchmesser sowie Körnung Bodenmatrix variiert. Die Ergebnisse dieser Arbeit zeigen, dass der partikelgebundene Schadstofftransportpfad in der ungesättigten Bodenzone in verschiedenen Szenarien den Anteil mobiler Schadstoffe, die mit dem Sickerwasser ins Grundwasser gelangen, signifikant erhöht. Auf Basis der experimentellen und theoretischen Untersuchungen wurde ein zweistufiges Bewertungsschema entwickelt, das bereits im Vorfeld einer Risikoabschätzung als Entscheidungshilfe hinsichtlich der Relevanz einer Mobilisierung, eines Transports und des Rückhalts von partikelgebundenen Schadstoffen in der ungesättigten Zone dient.

Polymerisation in perfluorierter Emulsion

Die vorliegende Arbeit behandelt die Polymerisation in nicht-wässrigen Emulsionen – bestehend aus einem perfluorierten Solvens und einem Kohlenwasserstoff - unter Einsatz verschiedener Monomere, Katalysatoren und Polymeristionsmethoden zur Generierung von Polymerpartikeln verschiedenster Art. Es wurde gezeigt, dass in diesen inerten Medien zahlreiche Methoden zur Polymererzeugung unter gleichzeitiger Morphologiekontrolle eingesetzt werden können, die in konventionellen wässrigen, heterophasischen Systemen versagen.rnrnAusgangspunkt war die literaturbekannte Metallocen-katalysierte Synthese von Polyethylen (PE)- und Polypropylen (PP)-Nanopartikeln in perfluorierter Emulsion in Gegenwart hochmolekularer Blockcopolymere als Stabilisierungsagens. Mithilfe kinetischer Untersuchungen hinsichtlich der PE-Synthese wurde im Rahmen dieser Arbeit ein Modell entwickelt, welches den Diffusionsweg eines gasförmigen Monomers über die verschiedenen Phasengrenzen hinweg zum aktiven katalytischen Zentrum in der dispergierten Phase beschreibt. Ferner konnte die Diffusions- und Reaktionsbestimmtheit der Reaktion in Abhängigkeit verschiedener Reaktionsparameter nachgewiesen sowie ein tieferer Einblick über den Ort der Polymerisation in den heterophasischen Systemen erhalten werden.rnrnDie so gewonnenen Erkenntnisse wurden für die erfolgreiche Synthese von Poly(ethylen-1-hexen)-Copolymeren in perfluorierter Emulsion genutzt, wobei der Comonomergehalt im resultierenden Polymer über einen breiten Bereich variiert werden konnte. Neben der Homo- und Copolymerisation von Polyolefinen wurde in der vorliegenden Arbeit weiter gezeigt, dass die heterogenen Fluide zum Aufbau komplexerer Morphologien wie Kern-Schale-Nanopartikeln genutzt werden können; so gelangte man zu Partikeln mit Kernen aus isotaktischem PP, ummantelt von „weichem“ Poly(n-butylacrylat).rnrnEin weiterer Fokus dieser Arbeit lag auf der Erweiterung der Anwendungsmöglichkeiten der perfluorierten Emulsionen, und so wurde bspw. der Zugang zu Polymerdispersionen aus konjugierten Materialien mit Partikeldurchmessern von 70-100 nm mittels Cyclopolymerisation eröffnet. Ferner konnten als bioverträgliche und biologisch abbaubare Materialien Partikel aus epsilon-Caprolacton in koordinativ-anionischer Polymerisation gewonnen werden. Im Zuge dessen wurden Emulgatoren entwickelt, die den Einsatz polarer Monomere in perfluorierter Emulsion erlauben.rnrnSchlussendlich konnten mittels trifunktioneller Polymere mit lipophilen und fluorophilen Gruppen sowie Lewis-basischen Ankergruppen Ag- und Cu-Partikel dergestalt oberflächenmodifiziert werden, dass ein homogenes Einbetten in eine perfluorierte Matrix möglich war, was antibakterielle perfluorierte Werkstoffe - erwiesen an E. coli - lieferte.

Effectiveness of individual resource-oriented joint protection education in people with rheumatoid arthritis. A randomized controlled trial

the modern joint protection (JP) concept for people with rheumatoid arthritis (RA) is an active coping strategy to improve daily tasks and role performance by changing working methods and using assistive devices. Effective group JP education includes psycho-educational interventions. The Pictorial Representation of Illness and Self Measure (PRISM) is an interactive hands-on-tool, assessing (a) the individual's perceived burden of illness and (b) relevant individual resources. Both issues are important for intrinsic motivation to take action and change behaviour. This study compared individual conventional JP education (C-JP) with PRISM-based JP education (PRISM-JP).

Carbohydrate counting of food

Carbohydrate counting is a principal strategy in nutritional management of type 1 diabetes. The Nutri-Learn buffet (NLB) is a new computer-based tool for patient instruction in carbohydrate counting. It is based on food dummies made of plastic equipped with a microchip containing relevant food content data. The tool enables the dietician to assess the patient's food counting abilities and the patient to learn in a hands-on interactive manner to estimate food contents such as carbohydrate content.

Wow! Linear systems and signal processing is fun!

We describe a recent offering of a linear systems and signal processing course for third-year electrical and computer engineering students. This course is a pre-requisite for our first digital signal processing course. Students have traditionally viewed linear systems courses as mathematical and extremely difficult. Without compromising the rigor of the required concepts, we strived to make the course fun, with application-based hands-on laboratory projects. These projects can be modified easily to meet specific instructors' preferences. © 2011 IEEE.(17 refs)

Promoting Amphibian Conservation through the College Classroom: Detection of Batrachochytrium dendrobatidis among Local Amphibians

Many global amphibian declines have been linked to the fungal pathogen Batrachochytrium dendrobatidis (Bd). The knowledge on Bd distribution provides a fundamental basis for amphibian conservation planning. Yet, such Bd distribution information is currently insufficient, in particular at a regional scale. The college classroom provides an excellent opportunity to expand the knowledge of Bd distribution. Here we provide an example of such research projects to detect Bd prevalence among local amphibians in a college course setting and present the results of work conducted in central Pennsylvania, USA. We collected toe clips and conducted PCR assays of six species, Plethodon cinereus, Desmognathus fuscus, Notophthalmus viridescens, Lithobates catesbeianus, L. clamitans, and L. sylvaticus (59 individuals). Four groups of students independently conducted entire projects, orally presented their findings, and submitted manuscripts to the professor at the end of the semester. This example demonstrates that it is feasible for an undergraduate class to complete a Bd-detection project within a single semester. Such a project not only contributes to Bd research but also promotes conservation education among students through hands-on research experiences. We found Bd infection in only one sample of N. viridescens, but no sign of infection in the rest of the samples. As a relatively high prevalence of Bd has been reported in surrounding areas, our results suggest spatial heterogeneity in Bd occurrence at a regional scale and thus, the need for continued efforts to monitor Bd prevalence.

A project-oriented course in probability and statistics for undergraduate electrical engineering students

An introductory course in probability and statistics for third-year and fourth-year electrical engineering students is described. The course is centered around several computer-based projects that are designed to achieve two objectives. First, the projects illustrate the course topics and provide hands-on experience for the students. The second and equally important objective of the projects is to convey the relevance and usefulness of probability and statistics to practical problems that undergraduate students can appreciate. The benefit of this course as to motivate electrical engineering students to excel in the study of probability concepts, instead of viewing the subject as one more course requirement toward graduation. The authors co-teach the course, and MATLAB is used for mast of the computer-based projects

The Repairing of Misconceptions through the Use of Inquiry-Based Activities

Misconceptions exist in all fields of learning and develop through a person’s preconception of how the world works. Students with misconceptions in chemical engineering are not capable of correctly transferring knowledge to a new situation and will likely arrive at an incorrect solution. The purpose of this thesis was to repair misconceptions in thermodynamics by using inquiry-based activities. Inquiry-based learning is a method of teaching that involves hands-on learning and self-discovery. Previous work has shown inquiry-based methods result in better conceptual understanding by students relative to traditional lectures. The thermodynamics activities were designed to guide students towards the correct conceptual understanding through observing a preconception fail to hold up through an experiment or simulation. The developed activities focus on the following topics in thermodynamics: “internal energy versus enthalpy”, “equilibrium versus steady state”, and “entropy”. For each topic, two activities were designed to clarify the concept and assure it was properly grasped. Each activity was coupled with an instructions packet containing experimental procedure as well as pre- and post-analysis questions, which were used to analyze the effect of the activities on the students’ responses. Concept inventories were used to monitor students’ conceptual understanding at the beginning and end of the semester. The results did not show a statistically significant increase in the overall concept inventory scores for students who performed the activities compared to traditional learning. There was a statistically significant increase in concept area scores for “internal energy versus enthalpy” and “equilibrium versus steady state”. Although there was not a significant increase in concept inventory scores for “entropy”, written analyses showed most students’ misconceptions were repaired. Students transferred knowledge effectively and retained most of the information in the concept areas of “internal energy versus enthalpy” and “equilibrium versus steady state”.

Growth hormone regulates growth hormone receptor gene transcription in primary human thyroid cells

In this study the regulation of GH-receptor gene (GHR/GHBP) transcription by different concentrations of GH (0, 12.5, 25, 50, 150, 500 ng/ml) with and without variable TSH concentrations (0.5, 2, 20 mU/l) in primary human thyroid cells cultured in serum-free hormonally-defined medium was studied. The incubation time was 6 h and GHR/GHBP mRNA expression was quantitatively assessed by using PCR amplification at hourly intervals. Correlating with the GH-concentrations added a constant and significant increase of GHR/GHBP gene transcription was found. After the addition of 12.5 ng/ml GH, GHR/GHBP mRNA concentration remained constant over the incubation period of 6 h but in comparison with the experiments where no GH was added there was a significant change of GHR/GHBP mRNA expression. Following the addition of 25 ng/ml GH a slight but further increase of GHR/GHBP transcription products was seen which increased even more in the experiments where higher GH concentrations were used. These data focusing on GHR/GHBP gene transcription derived from cDNA synthesis and quantitative PCR amplification were confirmed by run-on experiments. Furthermore, cycloheximide did not affect these changes supporting the notion that GH stimulates GHR/GHBP gene transcription directly. In a second set of experiments, in combination with variable TSH levels, identical GH concentrations were used and no difference in either GHR/GHBP mRNA levels or in transcription rate (run-on experiments) could be found. In conclusion, we report data showing that primary thyroid cells express functional GH-receptors in which GH has a direct and dose dependent effect on the GHR/GHBP gene transcription. Furthermore, TSH does not a have a major impact on GHR/GHBP gene regulation.

Regulation of human growth hormone receptor gene transcription by triiodothyronine (T3)

In this study the hypothesis that triiodothyronine (T3) and growth hormone (GH) may have some direct or indirect effect on the regulation of GH-receptor/GH-binding protein (GHR/GHBP) gene transcription was tested. Different concentrations of T3 (0, 0.5, 2, 10 nmol/l) and GH (0, 10, 150 ng/ml) were added to human hepatoma (HuH7) cells cultured in serum-free hormonally-defined medium for 0, 1 and 2 h. Thereafter GHR/GHBP mRNA expression was quantitatively assessed by using PCR amplification. GH at a concentration of 10 ng/ml resulted in a significant increase of GHR/GHBP gene expression whereas a supraphysiological concentration of GH (150 ng/ml) caused a significant decrease of GHR/GHBP mRNA levels. The simultaneous addition of 0.5 nmol/l T3 to the variable concentrations of GH did not modify GHR/GHBP mRNA levels whereas the addition of 2 nmol/l up-regulated GHR/GHBP gene expression already after 1 h, an increase which was even more marked when 10 nmol/l of T3 was added. Interestingly, there was a positive correlation between the increase of GHR/GHBP mRNA levels and the T3 concentration used (r: 0.8). In addition, nuclear run-on experiments and GHBP determinations were performed which confirmed the changes in GHR/GHBP mRNA levels. Cycloheximide (10 microg/ml) did not alter transcription rate following GH addition but blocked GHR/GHBP gene transcription in T3 treated cells indicating that up-regulation of GHR/GHBP gene transcription caused by T3 requires new protein synthesis and is, therefore, dependent on indirect mechanisms. In conclusion, we present data showing that T3 on its own has a stimulatory effect on GHR/GHBP gene transcription which is indirect and additive to the GH-induced changes.

Preparing writing centers and tutors for literacy mediation for working class campus-staff

Writing centers work with writers; traditionally services have been focused on undergraduates taking composition classes. More recently, centers have started to attract a wider client base including: students taking labs that require writing; graduate students; and ESL students learning the conventions of U.S. communication. There are very few centers, however, which identify themselves as open to working with all members of the campus-community. Michigan Technological University has one such center. In the Michigan Tech writing center, doors are open to “all students, faculty and staff.” While graduate students, post docs, and professors preparing articles for publication have used the center, for the first time in the collective memory of the center UAW staff members requested center appointments in the summer of 2008. These working class employees were in the process of filling out a work related document, the UAW Position Audit, an approximately seven-page form. This form was their one avenue for requesting a review of the job they were doing; the review was the first step in requesting a raise in job level and pay. This study grew out of the realization that implicit literacy expectations between working class United Auto Workers (UAW) staff and professional class staff were complicating the filling out and filing of the position audit form. Professional class supervisors had designed the form as a measure of fairness, in that each UAW employee on campus was responding to the same set of questions about their work. However, the implicit literacy expectations of supervisors were different from those of many of the employees who were to fill out the form. As a result, questions that were meant to be straightforward to answer were in the eyes of the employees filling out the form, complex. Before coming to the writing center UAW staff had spent months writing out responses to the form; they expressed concerns that their responses still would not meet audience expectations. These writers recognized that they did not yet know exactly what the audience was expecting. The results of this study include a framework for planning writing center sessions that facilitate the acquisition of literacy practices which are new to the user. One important realization from this dissertation is that the social nature of literacy must be kept in the forefront when both planning sessions and when educating tutors to lead these sessions. Literacy scholars such as James Paul Gee, Brian Street, and Shirley Brice Heath are used to show that a person can only know those literacy practices that they have previously acquired. In order to acquire new literacy practices, a person must have social opportunities for hands-on practice and mentoring from someone with experience. The writing center can adapt theory and practices from this dissertation that will facilitate sessions for a range of writers wishing to learn “new” literacy practices. This study also calls for specific changes to writing center tutor education.

Design of a lab scale direct-filtration system and its application in process lab

The Environmental Process and Simulation Center (EPSC) at Michigan Technological University started accommodating laboratories for an Environmental Engineering senior level class CEE 4509 Environmental Process and Simulation Laboratory since 2004. Even though the five units that exist in EPSC provide the students opportunities to have hands-on experiences with a wide range of water/wastewater treatment technologies, a key module was still missing for the student to experience a full cycle of treatment. This project fabricated a direct-filtration pilot system in EPSC and generated a laboratory manual for education purpose. Engineering applications such as clean bed head loss calculation, backwash flowrate determination, multimedia density calculation and run length prediction are included in the laboratory manual. The system was tested for one semester and modifications have been made both to the direct filtration unit and the laboratory manual. Future work is also proposed to further refine the module.

Effect of therapeutic exercise for hip osteoarthritis pain: results of a meta-analysis

OBJECTIVE: Recommendations for lower extremity osteoarthritis (OA) and exercise have been primarily based on knee studies. To provide more targeted recommendations for the hip, we gathered evidence for the efficacy of exercise for hip OA from randomized controlled trials. METHODS: A bibliographic search identified trials that were randomized, controlled, completed by >or=60% of subjects, and involved an exercise group (strengthening and/or aerobic) versus a non exercise control group for pain relief in hip OA. Two reviewers independently performed the data extraction and contacted the authors when necessary. Effect sizes (ES) of treatment versus control and the I(2) statistic to assess heterogeneity across trials were calculated. Trial data were combined using a random-effects meta-analysis. RESULTS: Nine trials met the inclusion criteria (1,234 subjects), 7 of which combined hip and knee OA; therefore, we contacted the authors who provided the data on hip OA patients. In comparing exercise treatment versus control, we found a beneficial effect of exercise with an ES of -0.38 (95% confidence interval [95% CI] -0.68, -0.08; P = 0.01), but with high heterogeneity (I(2) = 75%) among trials. Heterogeneity was caused by 1 trial consisting of an exercise intervention that was not administered in person. Removing this study left 8 trials (n = 493) with similar exercise strategy (specialized hands-on exercise training, all of which included at least some element of muscle strengthening), and demonstrated exercise benefit with an ES of -0.46 (95% CI -0.64, -0.28; P < 0.0001). CONCLUSION: Therapeutic exercise, especially with an element of strengthening, is an efficacious treatment for hip OA.

Small-scale timber stand management techniques : a case study of woodlots in Isangati, Tanzania

Small-scale village woodlots of less than 0.5ha are the preferred use of land for local farmers with extra land in the village of Isangati, a small community located in the southern highlands of Tanzania. Farmers view woodlots as lucrative investments that do not involve intensive labor or time. The climate is ideal for the types of trees grown and the risks are minimal with no serious threats from insects, fires, thieves, or grazing livestock. It was hypothesized that small-scale village woodlot owners were not maximizing timber outputs with their current timber stand management and harvesting techniques. Personal interviews were conducted over a five month period and field data was collected at each farmer’s woodlots over a seven month period. Woodlot field data included woodlot size, number of trees, tree species, tree height, dbh, age, and spacing. The results indicated that the lack of proper woodlot management techniques results in failure to fully capitalize on the investment of woodlots. While farmers should continue with their current harvesting rotations, some of the reasons for not maximizing tree growth include close spacing (2m x 2m), no tree thinning, extreme pruning (60% of tree), and little to no weeding. Through education and hands-on woodlot management workshops, the farmers could increase their timber output and value of woodlots.