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Writing Inside And Outside The Rhetoric Of Containment: An Analysis Of Writing Strategies In First Semester Students Transitioning To The First Year College Composition Classroom
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In: Open Access Theses & Dissertations (2021)
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Bildungsforschung mit Daten der amtlichen Statistik ; Educational research with data of official statistics
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In: Fickermann, Detlef [Hrsg.]; Weishaupt, Horst [Hrsg.]: Bildungsforschung mit Daten der amtlichen Statistik. Münster ; New York : Waxmann 2019, S. 11-18. - (Die Deutsche Schule, Beiheft; 14) (2019)
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Beziehungen in pädagogischen Arbeitsfeldern und ihren Transitionen über die Lebensalter
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In: Bad Heilbrunn : Verlag Julius Klinkhardt 2019, 333 S. (2019)
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Bildungsforschung mit Daten der amtlichen Statistik
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In: Münster ; New York : Waxmann 2019, 267 S. - (Die Deutsche Schule, Beiheft; 14) (2019)
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Category Positioning - A Qualitative Content Analysis Approach to Explore the Subjective Importance of a Research Topic Using the Example of the Transition From School to University
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In: Forum Qualitative Sozialforschung / Forum: Qualitative Social Research ; 20 ; 3 ; Qualitative Content Analysis I (2019)
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Longitudinal and Geographic Trends in Family Engagement During the Pre-kindergarten to Kindergarten Transition
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In: Faculty Publications from Nebraska Center for Research on Children, Youth, Families, and Schools (2019)
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Navigating the entanglements: Curriculum and assessment priorities in transitioning to school in Aotearoa-New Zealand
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Understanding College-Bound Students' Perceived Preparedness and Expectations for College-Level Writing
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Utilizing Technology to Facilitate the Transition from Secondary- to Tertiary Level Linear Algebra
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Abstract:
Es ist eine weit verbreitete Wahrnehmung, dass der Übergang zwischen der Mathematik der gymnasialen Oberstufe und der Mathematik an der Universität für Studierende problematisch sein kann. Besondere Verständnisschwierigkeiten in Bereich der lineare Algebra (lA) bereiten den Studierenden die verschiedenen Herangehensweisen auf diesen beiden Ebenen. Dies lässt sich auf die strukturell-axiomatischer Herangehensweisen an die lA an der Universität, im Gegensatz zu ihrer arithmetisch-geometrischen Darstellung in der Schule, zurückführen. Dies bedingt ebenfalls Unterschiede im prozeduralen und konzeptuellen Verständnis. Ziel dieser Arbeit ist es, zu untersuchen, wie Schüler konzeptuelles Verständnis, Bezug nehmend auf die Theorien von concept definition/image in Verbindung mit multiplen Modi der Beschreibung und des Denkens von Konzepten wie Bilinearität z.B. Skalarprodukt und Multilinearität z.B. Determinanten gewinnen können. Um dies zu erreichen wurde eine substanzielle Lehr-Lernumgebung unter Verwendung einer dynamischen Geometriesoftware (DGS) entwickelt. Die Lerneinheit wurde an einem Berliner Gymnasium eingesetzt und dabei ein vollständiger design-based research Zyklus durchlaufen und eine multiple-level Datenanalyse durchgeführt. Die Ergebnisse der Untersuchung zeigen nicht nur, dass eine Erweiterung der Vorstellungen der Schüler, eine Entwicklung multipler Denkmodi und ein Gewinn tieferen konzeptuellen Verständnisses in der lA erfolgreich vermittelt werden können, sondern geben auch Einblicke in ein mögliches theoretisches Modell, mit dessen Hilfe sich diese Prozesse weiter untersuchen lassen. Weiterhin werden die interaktiven Lehr-Lernmaterialien für die weitere Verwendung im Rahmen von Lehre und Forschung zur Verfügung gestellt. Es öffnen sich neue Forschungsfragen hinsichtlich lokalen Axiomatisierens in der lA der gymnasialen Oberstufe, welches auf einer Integration geometrischer, algebraischer und axiomatischer Denkmodi, unterstützt durch DGS, basieren könnte. ; A common perception among researchers in mathematics education is that the transition between secondary- and tertiary level of mathematics may be problematic for the students. In particular, the exact and abstract nature of the theory of Linear algebra versus its arithmetic-geometric presentation in school appears to be difficult for the novice students. The application of properties for defining concepts at university in contrast to their usage for describing concepts in school points out a possible occurrence of obstacles for learning and discrepancies in procedural and conceptual understanding. The aim of this study is to examine how could upper-high school students develop a conceptual understanding based on concept definition and concept image in connection to multiple modes of description and thinking about concepts such as bi-linearity exemplified by the dot product of vectors and multi-linearity exemplified by determinants. In order to achieve this, I have created a specific teaching/ learning sequence in a dynamic geometry environment (DGE), then implemented it and evaluated it in a high school in Berlin, following a complete cycle of design-based research and conducting a multiple-level data analysis. The findings of the study show not only that widening students' concept images, developing multiple modes of thinking and gaining deeper conceptual understanding can successfully be mediated by dynamic geometries, but also give insights into an eventual theoretical model of how can they be further examined. Moreover, the study promotes authorized open-source interactive teaching/ learning materials for further sustainable practice and research. It opens new research questions about revisiting axiomatic approaches on local levels in upper high-school Linear algebra which may base on the integration of all three modes of description and thinking geometric, algebraic and abstract possibly facilitated by DGE. ; Честа перцепција кај многумина истражувачи во областа на математичкото образование е дека транзицијата помеѓу средното и високото образование по математика може да биде проблематична за студентите. Егзакноста и апстрактноста на теоријата по Линеарна алгебра наспроти нејзината аритметичко-геометриска презентација во средното гимназиско образование се покажува како особено тешка за студентите. Примена на својствата на математичките поими за нивно дефинирање на универзитетско ниво наспроти нивното употреба за опишување на претходно дефинирани поими на училишно ниво, укажува на можна појава на тешкотии при нивното изучување и несовпаѓање на процедуралното и концептуалното разбирање на истите. Целта на оваа студија е да истражи како средношколците би можеле да развијат концептуално разбирање на поимите врз основа на концепт дефиниција и концепт слика во врска со мулти-моди на мислење, конкретно за поими како билинеарност, пр. скаларен производ на вектори, и мултилинеарност, пр. детерминанти. За да ја постигнам оваа цел, креирав наставна содржина поддржана од еден динамичен геометриски систем (ДГС) и следејќи целосен циклус на т.н. design-based research и спрoведувајќи мулти-анализа на податоци, истата ја имплементирав и евалуирав во едно средно училиште во Берлин. Резултатите од студијата укажуваат не само на фактот дека проширувањето на концепт сликите на учениците, развојот на мулти-моди на мислење и стекнувањето на длабоко концептуално разбирање на поимите можат да бидат успешно посредувани од ДГС туку овозможија и увид во еден теоретски модел за тоа коко тие можат понатаму да се истражуваат. Уште повеќе, студијата промовира авторизирани open-source интерактивни материјали за предавање и учење на содржините кои може да служат за понатамошни одржливи истражувања и развој. Студијата отвора нови истражувачки прашања за средношколската Линеарна алгебра која може да се базира на интеграција на сите три моди на мислење, геометриски, алгебарски и апстрактен, поддржан од ДГС.
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Keyword:
407 Ausbildung; 500 Naturwissenschaften und Mathematik; axiomatic; concept definition; concept image; conceptual understanding; ddc:407; ddc:500; denken; design-based research; Didaktik; digitale Medien; dynamic geometry; dynamische Geometrie; Forschung; Lehr-Lernumgebung; Linear algebra; Lineare Algebra; mathematics education; Mathematik; modes of description and thinking; Sekundarstufe II; SM 620; technology; transition; university education; upper high school; verwandte Themen; аксиоматика; високо образование; геогебра; дефиниција; Линеарна алгебра; математичко образование; мислење; разбирање; средно образование
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URN:
urn:nbn:de:kobv:11-110-18452/19257-1
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URL: http://edoc.hu-berlin.de/18452/19257
https://doi.org/10.18452/18561
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| 11 |
"I want to grow my country": refugee-background Karen students in transitions: experiences in the move from language school to mainstream schooling
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Diverging Paths: Three Essays On The Transitions Of Working-Class Young People In South Korea
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In: Publicly Accessible Penn Dissertations (2017)
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'If I wanted to have more opportunities and go to a better school, I just had to get used to it': Aboriginal students' perceptions of going to boarding school in Western Australia
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In: Research outputs 2014 to 2021 (2015)
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EXPLORE Test and Ninth Grade Success in English 9 and Algebra I as related to End-of- Course Exams and Final Averages in a Rural East Tennessee High School
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In: Electronic Theses and Dissertations (2015)
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學校幼小銜接與兒童適應探討︰小一教師的觀點 ; Transition from Preschool to Elementary School and Child Adaptation: From the Perspective of First Grade Teachers
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College and career readiness anchor standards for English: preparedness of students and teachers as perceived by West Virginia English language arts teachers in grades six through twelve
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In: Theses, Dissertations and Capstones (2014)
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Ranciere and leadership for reforms to school-to-work transition the presupposition of equality of theoretical assets from diverse educational cultures /
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In: Singh, M, Harreveld, R & Chen, X 2013, 'Ranciere and leadership for reforms to school-to-work transition: the presupposition of equality of theoretical assets from diverse educational cultures', in G Tchibozo (ed.), Cultural and Social Diversity and the Transition from Education to Work, vol.17, Springer, Dordrecht, The Netherlands. http://dx.doi.org/10.1007/978-94-007-5107-1_7 (2013)
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A capability approach to cultural diversity in school-to-work transitions : Amartya Sen and young adult's diversely different education and work communities
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In: Harreveld, R, Singh, M & Li, B 2013, 'A capability approach to cultural diversity in school-to-work transitions: Amartya Sen and young adult's diversely different education and work communities', in G Tchibozo (ed.), Cultural and Social Diversity and the Transition from Education to Work, Springer, Dordrecht, The Netherlands. http://dx.doi.org/10.1007/978-94-007-5107-1_6 (2013)
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