A Tribute to Benjamin D. Wright
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Danish University Colleges Developing Reasoning Competence
Danish University Colleges Developing reasoning competence in inquiry-based mathematics teaching Larsen, Dorte Moeskær Publication date: 2019 Link to publication Citation for pulished version (APA): Larsen, D. M. (2019). Developing reasoning competence in inquiry-based mathematics teaching. Syddansk Universitetsforlag. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Download policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Download date: 26. Sep. 2021 Developing reasoning competence in inquiry-based mathematics teaching Prepared by Dorte Moeskær Larsen LSUL, IMADA, SDU Submitted: 14th September 2019 Supervisor: Claus Michelsen Co-supervisor: Thomas Illum Hansen 1 Duration of this Ph.D.: 15th of September 2016 – 14th of September 2019 2 1 Publication by the author of this thesis Peer reviewed and all written, submitted or published during this thesis. The papers include in this thesis is marked with * Dreyøe, J., Larsen, D. M., Hjelmborg, M. D., Michelsen, C., & Misfeldt, M. (2017). Inquiry-based learning in mathematics education: Important themes in the literature. -
Essays on Georg Rasch and His Contribution to Statistics
Essays on Georg Rasch and his contributions to statistics PhD thesis Lina Wøhlk Olsen Institute Of Economics University of Copenhagen ii Summary This PhD thesis consists of six self-contained articles. All of them are connected to Georg Rasch and his contributions to statistics. Chapter 1 is a biography of Georg Rasch covering the years 1901 to the late 1940s. Special attention is paid Rasch’s road from being a mathematician to becoming a statistician. His life in the late 1940s is also described at some length. He was a statistical consultant, but he also lectured on mathematics and statistics at the Uni- versity of Copenhagen. This way, and especially by influencing his young assistants, Rasch was a prominent figure in the progress of statistics in Denmark. Chapter 2 rediscovers Rasch’s work on Growth. We shall see the theory that Rasch developed and explore the events that inspired him to analyse growth. The Growth Model had it’s origin in an empirical analysis of calves, but afterwards Rasch used it to model the growth of other animals. By time, Rasch became intrigued by developing a theoretical frame for the Growth Model. Chapter 2 also includes an empirical example of using the Growth Model on recent data. Chapter 3 is an account of how Rasch developed the Rasch models. Rasch was triggered by an empirical analysis and in the course of some ten years he gained the insight that the idea underlying this particular analysis was a special case of something much more general, namely specific objectivity. Chapter 3 also supplies background information on Rasch prior to his development of the Rasch model, but the main focus stays at the late 1940s and the 1950s. -
A Scientometric Review of Rasch Measurement : the Rise and Progress of a Specialty
This document is downloaded from DR‑NTU (https://dr.ntu.edu.sg) Nanyang Technological University, Singapore. A scientometric review of Rasch measurement : the rise and progress of a specialty Aryadoust, Vahid; Tan, Hannah Ann Hui; Ng, Li Ying 2019 Aryadoust, V., Tan, H. A. H., & Ng, L. Y. (2019). A scientometric review of Rasch measurement : the rise and progress of a specialty. Frontiers in Psychology, 10, 2197‑. doi:10.3389/fpsyg.2019.02197 https://hdl.handle.net/10356/142455 https://doi.org/10.3389/fpsyg.2019.02197 © 2019 Aryadoust, Tan and Ng. This is an open‑access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. Downloaded on 28 Sep 2021 08:52:41 SGT SYSTEMATIC REVIEW published: 22 October 2019 doi: 10.3389/fpsyg.2019.02197 A Scientometric Review of Rasch Measurement: The Rise and Progress of a Specialty Vahid Aryadoust 1*, Hannah Ann Hui Tan 2 and Li Ying Ng 1 1 National Institute of Education, Nanyang Technological University, Singapore, Singapore, 2 School of Social Sciences - Psychology, Nanyang Technological University, Singapore, Singapore A recent review of the literature concluded that Rasch measurement is an influential approach in psychometric modeling. Despite the major contributions of Rasch measurement to the growth of scientific research across various fields, there is currently no research on the trends and evolution of Rasch measurement research. -
GEORG RASCH the Man Behind the Model
GEORG RASCH The Man Behind The Model Georg Rasch Benjamin Drake Wright, Ph.D. eorg Rasch, Doctor of Philosophy in mathematics upon the analytic part. What caught my interest was (1930), member of the International Statistical the theory ofLagrange equations. This resulted in my Institute (1941), charter member of the Biomet- first publication (Neilsen & Rasch 1923). rics Society (1947), Professor of Statistics at the Igot a stipendfor my studies and became amem- University of Copenhagen (1962), and Danish Knight of the ber of college Regensen where we received free room OrderGof Dannebrog (1967), was born in Odense, Denmark, and board. Since I did not see any further reason for on 21 September 1901, the youngest and "least practical" of doing arithmetical work for my living, I left Professor three brothers .' Neilsen and got another teacher, Professor Norlund, His mother was ill throughout his childhood and Rasch who had written an extremely good book on difference had few recollections of her. But his fiercely religious father equations. left deep and lasting impressions. Wilhelm Rasch, sailor, ship's Nprlund was my professorfor the rest ofmy time officer, mathematics teacher and self-anointed missionary, was, as a student, and I was his assistant teacher from 1925, "the most hard-boiled evangelist I have ever known." when I graduated, until 1940. The topics in function Wilhelm dragged his family to Svendborg in 1906 to open theory that Norlund lectured about together with the a mission high school for prospective seamen. In 1914 Georg other topics I had to study in order to lecture as his became fascinated by the trigonometry texts in his father's li- assistant built up my mathematical background.