Discipline-Based Education Research: Understanding and Improving Learning in Undergraduate Science and Engineering
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Maintaining Spatial Relations in an Incremental Diagrammatic Reasoner
Maintaining Spatial Relations in an Incremental Diagrammatic Reasoner Ronald W. Ferguson, Joseph L. Bokor, Rudolph L. Mappus IV and Adam Feldman College of Computing Georgia Institute of Technology 801 Atlantic Avenue Atlanta, GA 30332 {rwf, jlbokor, cmappus, storm} @cc.gatech.edu Abstract gram. This work extends the GeoRep diagrammatic rea- soner (Ferguson & Forbus, 2000), which is described in Because diagrams are often created incrementally, a qualitative section 3. After describing GeoRep, we discuss how Ge o- diagrammatic reasoning system must dynamically manage a po- Rep was modified to allow incremental processing, and tentially large set of spatial interpretations. This paper describes cover a number of implementation issues: how to handle an architecture for handling spatial relations in an incremental, nonmonotonic diagrammatic reasoning system. The architecture composite objects, the interface between low-level and represents jointly exhaustive and pairwise disjoint (JEPD) spatial high-level reasoning, and a modified default assumption relation sets as nodes in a dependency network. Examples of these mechanism. We also describe extensions to a user interface spatial relation sets are interval relations, relative orientation rela- allowing a user to create diagrams and update the infer- tions, and connectivity relations. The network caches dependen- ences of the reasoner. We then discuss future challenges cies between low-level spatial relations, allowing those relations for this architecture. to be easily assumed or retracted as visual elements are added or removed from a diagram. We also describe how the system sup- ports high-level reasoning, including support for creating default 2. Related Work assumptions. Finally, we show how this system was integrated In qualitative spatial reasoning, researchers have explored with an existing drawing program and discuss its possible use in how to process qualitative spatial vocabularies incremen- diagrammatic and geographic reasoning. -
Improving Knowledge Development and Exchange Via Transformative Pictogram Design
2020 24th International Conference Information Visualisation (IV) Visual Design Thinking for Public Education: Improving knowledge development and exchange via transformative pictogram design 1st Nana Wang 2nd Leah Burns Sichuan University Aalto Univeristy China Finland 0000-0003-3902-7393 leah.burns@aalto.fi Abstract—How might the exchange and development of knowl- edge improve through a critical examination of pictogram- based methods of information visualization? In this article, we investigate the International System of TYpographic Picture Education(ISOTYPE), an influential model of pictorial diagram design theory and practice. Given ISOTYPE’s continuing impact on information design, we use it as a critical case study to assess the potential and limitations of pictorial diagrams(PD) for knowl- edge development and exchange. The goal of this study is not to evaluate artistic quality, style, or designer talent; rather, our focus is on analysis of the learning functions of pictograms and their potential for knowledge transmission and supporting reasoning behaviour among diverse audiences. We explore the different features of a pictogram, and how these features might support knowledge development through diagrammatic reasoning(DR). Three key questions are posed: 1. What are the advantages and disadvantages of pictograms for promoting learning and reasoning behaviour versus more abstract or representational visual information design? 2. What are the criteria for choosing the visual characteristics of pictograms? 3. How can the visual characteristics of pictograms be evaluated and revised base on the goal of supporting learning and reasoning behaviour? Index Terms Fig. 1. ISOTYPE, Atlas, Gesellschaft und Wirtschaft,1930, reproduced from —ISOTYPE; Pictorial diagram(PD); Public ed- Osterreichisches¨ Gesellschafts - und Wirtschaftsmuseum ucation; Informal learning; Knowledge visualization(KV); dia- grammatic reasoning(DR) I. -
Knowledge Representation in Bicategories of Relations
Knowledge Representation in Bicategories of Relations Evan Patterson Department of Statistics, Stanford University Abstract We introduce the relational ontology log, or relational olog, a knowledge representation system based on the category of sets and relations. It is inspired by Spivak and Kent’s olog, a recent categorical framework for knowledge representation. Relational ologs interpolate between ologs and description logic, the dominant formalism for knowledge representation today. In this paper, we investigate relational ologs both for their own sake and to gain insight into the relationship between the algebraic and logical approaches to knowledge representation. On a practical level, we show by example that relational ologs have a friendly and intuitive—yet fully precise—graphical syntax, derived from the string diagrams of monoidal categories. We explain several other useful features of relational ologs not possessed by most description logics, such as a type system and a rich, flexible notion of instance data. In a more theoretical vein, we draw on categorical logic to show how relational ologs can be translated to and from logical theories in a fragment of first-order logic. Although we make extensive use of categorical language, this paper is designed to be self-contained and has considerable expository content. The only prerequisites are knowledge of first-order logic and the rudiments of category theory. 1. Introduction arXiv:1706.00526v2 [cs.AI] 1 Nov 2017 The representation of human knowledge in computable form is among the oldest and most fundamental problems of artificial intelligence. Several recent trends are stimulating continued research in the field of knowledge representation (KR). -
What's in a Diagram?
What’s in a Diagram? On the Classification of Symbols, Figures and Diagrams Mikkel Willum Johansen Abstract In this paper I analyze the cognitive function of symbols, figures and diagrams. The analysis shows that although all three representational forms serve to externalize mental content, they do so in radically different ways, and conse- quently they have qualitatively different functions in mathematical cognition. Symbols represent by convention and allow mental computations to be replaced by epistemic actions. Figures and diagrams both serve as material anchors for con- ceptual structures. However, figures do so by having a direct likeness to the objects they represent, whereas diagrams have a metaphorical likeness. Thus, I claim that diagrams can be seen as material anchors for conceptual mappings. This classi- fication of diagrams is of theoretical importance as it sheds light on the functional role played by conceptual mappings in the production of new mathematical knowledge. 1 Introduction After the formalistic ban on figures, a renewed interest in the visual representation used in mathematics has grown during the last few decades (see e.g. [11–13, 24, 27, 28, 31]). It is clear that modern mathematics relies heavily on the use of several different types of representations. Using a rough classification, modern mathe- maticians use: written words, symbols, figures and diagrams. But why do math- ematicians use different representational forms and not only, say, symbols or written words? In this paper I will try to answer this question by analyzing the cognitive function of the different representational forms used in mathematics. Especially, I will focus on the somewhat mysterious category of diagrams and M. -
The Oxford Democrat
." "' Λ-r— -, ; S. V '··' * The Oxford Democrat. VOLUME 86. SOUTH PARIS, MAINE, TUESDAY, AUGUST 26, 1919. NUMBER 34. Λ l'ARK. rjïRIUCK AMONG THE FARMERS. Prize Essay in Iowa Milk Contest. "Oh, save me, William—for your The irst New England Ram Sale at Αι a part of the to inoreaae the Roulette Gives Way to Pool at Aix-Le-Bains dead brother's sake—save me from this rill be held at the Eastern 9t*tes Sx- Attorneys Law, plan l; NEWS consumption of milk tbej pat on an awful disgrace?" NEW ENGLAND on 19th at 1 P. X. ΒΓΓΗΪ'-, maims. I»"**"""' position September ITUD TU FLOW." essay writing conteat among the school "Is there there—back home? M. K· Harriet. Kilty C.Pa». anybody at SprtagfieM, Massachusetts* Λ % iJleoa children of Iowa. The Wanted— eeaaj winning If she's bent on getting married, per- of Mhl Is flrat in i|j>. <;i| Oranger Jr. Springfield, the atate waa lbxbt d. park. place written by haps—" IN TABLOID FORM \ l/Ocrsspoadeaoe on practical wrtculiur*! topic Hath an to be the auctioneer. AH oumdgn- la Amundsen, eighth grade popil solicited. Addre*· «11 oommnnloatton* li A Chauffeur :; is !" exclaimed thor- Auctioneer, of the Decorah schools. was < ►' "Yes—yes—there meats will be of absoftttely Licensed •ended tor this department to HaraT £ ! Her eaaay m ► ! Mrs. Hastings, grasping as a dying PARIS, MAINE Hajukhtd, Agricultural Editor Oxford Deo entitled, "Milk, the Necessary Pood for ![<► IM) <►!; oughbred stock and will be a good •ΟϋΤΗ ocra». man at the Pari*, Me the Growing Child." We print it be- proverbial straw. -
Discipline-Based Education Research: Understanding and Improving Learning in Undergraduate Science and Engineering
This PDF is available from The National Academies Press at http://www.nap.edu/catalog.php?record_id=13362 Discipline-Based Education Research: Understanding and Improving Learning in Undergraduate Science and Engineering ISBN Susan R. Singer, Natalie R. Nielsen, and Heidi A. Schweingruber, Editors; 978-0-309-25411-3 Committee on the Status, Contributions, and Future Directions of Discipline-Based Education Research; Board on Science Education; 282 pages Division of Behavioral and Social Sciences and Education; National 6 x 9 PAPERBACK (2012) Research Council Visit the National Academies Press online and register for... Instant access to free PDF downloads of titles from the NATIONAL ACADEMY OF SCIENCES NATIONAL ACADEMY OF ENGINEERING INSTITUTE OF MEDICINE NATIONAL RESEARCH COUNCIL 10% off print titles Special offers and discounts Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the National Academies Press. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Request reprint permission for this book Copyright © National Academy of Sciences. All rights reserved. Discipline-Based Education Research: Understanding and Improving Learning in Undergraduate Science and Engineering DISCIPLINE!BASED EDUCATION RESEARCH Understanding and Improving Learning in Undergraduate Science and Engineering Committee on the Status, Contributions, and Future Directions of Discipline-Based Education Research Board on Science Education Division of Behavioral -
When Everything Goes Wrong Make a Diagram Focusing on Visualising Reasoning and Trying to Reclaim the Power of Logical Thinking and Good Argumentation
https://doi.org/10.25145/b.2COcommunicating.2020.006 34 COmmunicating COmplexity When Everything goes wrong Make a Diagram focusing on visualising reasoning and trying to reclaim the power of logical thinking and good argumentation. It might feel a small action, but diagrams are actually really powerful. Maria Rosaria Digregorio De Montfort University, Leicester Media School, Faculty of Technology, 2 The Power of Diagrams The Gateway, Leicester, LE1 9BH, United Kingdom focusing on visualising reasoning and trying to reclaim the power of logical thinking [email protected] and good argumentation. It might feel a small action, but diagrams are actually reallyVisual inferences. In math and geometry, visual configurations are used as proper powerful.inferences to demonstrate the validity of reasoning – for instance in the case of the Pythagoras’s Theorem and the binomial theorem. Despite written words or Abstract. Looking at historical examples, this research explores the power of notations can also be used to visually represent theorems, the diagram is able to diagrams and visual reasoning. It focuses on their ability to make knowledge show at glance the reasons behind the rule (Perondi, 2012). more accessible, train critical thinking and trigger a form of intellectual 2 The Power of Diagrams resistance in a post-truth world; it encourages a deeper integration between diagrams and writing, and the diffusion of information design approaches Visual inferences. In math and geometry, visual configurations are used as proper outside the design realm. inferences to demonstrate the validity of reasoning – for instance in the case of the Keywords: post-truth / diagrammatic reasoning / non-linear writing / visual Pythagoras’s Theorem and the binomial theorem. -
Do We Really Reason About a Picture As the Referent?
Do We Really Reason about a Picture as the Referent? Atsushi Shimojima1,2 and Takugo Fukaya 1School of Knowledge Science, Japan Advanced Institute of Science and Technology 1-1 Asahi-dai, Tatsunokuchi, Nomi-gun, Ishikawa 923-1292, Japan 2ATR Media Information Science Laboratories 2-2-2 Hikari-dai, Keihanna Science City, Kyoto 619-0288, Japan [email protected] [email protected] Abstract the previous case, however, the hypothesized operation is not an operation on the hinge picture, but an operation A significant portion of the previous accounts of infer- on the physical hinge the picture depicts. You may refer ential utilities of graphical representations (e.g., Sloman, 1971; Larkin & Simon, 1987) implicitly relies on the exis- back to the hinge picture now and then, but what your in- tence of what may be called inferences through hypothet- ference is about is the movement of the upper leg of the ical drawing. However, conclusive detections of them by hinge, not the movement of the upper line of the hinge means of standard performance measures have turned out picture. You are reasoning about the picture’s referent, to be difficult (Schwartz, 1995). This paper attempts to fill rather than the picture itself. the gap and provide positive evidence to their existence on the basis of eye-tracking data of subjects who worked Well, the concept of “reasoning about the picture it- with external diagrams in transitive inferential tasks. self” is thus clear, but is it real? Are we really engaged in that type of inferences in some cases? If so, how do Schwartz (1995) cites an intriguing example to dis- we tell when we are? tinguish what he calls “reasoning about a picture as the Schwartz (1995) himself assumed the existence of that referent” from “reasoning about the picture’s referent.” type of inferences, and went on to investigate what fea- Suppose you are given the picture of a hinge in Figure tures of pictorial representations encourage it. -
Frank H. Knight on Market Thinking: Reflections on the Logic and Ethics of the Capitalist Economy
CRR DISCUSSION PAPER SERIES A Discussion Paper No. A-22 Frank H. Knight on Market Thinking: Reflections on the Logic and Ethics of the Capitalist Economy Yasuhiro Sakai December 2016 Center for Risk Research Faculty of Economics SHIGA UNIVERSITY 1-1-1 BANBA, HIKONE, SHIGA 522-8522, JAPAN Frank H. Knight on Market Thinking: Reflections on the Logic and Ethics of the Capitalist Economy by Yasuhiro Sakai Professor Emeritus, Shiga University Hikone, Shiga 522-8522, Japan Abstract The purpose of this paper is to shed a new light on the working and performance of the market economy from a pluralistic viewpoint. To this end, we first pay attention to the general equilibrium theory a la L.W. McKenzie, K. J. Arrow and G. Debreu. Whereas this theory seems to be established on the foundation of solid logic and advanced mathematics, the existence of special ethics and ideology behind the scenes should not be forgotten. We next reexamine the thought of Frank H. Knight, who has raised an strong objection against glorification of the market economy. In the late 1960s, I was a graduate student at the University of Rochester. I still recall the touching moment when Professor McKenzie, finally succeeding after a long struggle to prove the existence of a competitive economy by help of a mathematical theorem of fixed point, posed a bit in a class and said quietly, "It' so beautiful! ". The world was then in the midst of Cold War and divided into the two powerful blocs, the socialist bloc dominated by the Soviet Union and the capitalist block led by the United States of America. -
The American Legion Magazine [Volume 88, No. 4 (April 1970)]
HOW ORGANIZED CRIME TAKES OVER BUSINESS THE lOQT" BIRTHDAY OF NIKOLAI LENIN THE ADVENTURE OF THE MAYFLOWER PILGRIMS A day any Pacific Theater Finished in gleaming nickel, the Colt .45 Colt's edition of the American veteran will remember forever. How he features palm leaves engraved on Heritage Picture History of World and his buddies won it the hard way. the slide, and an engraved list of War II—-a 640-page, illustrated Inch by inch. Beach by beach. historic actions in the Pacific. chronicle of the war. It was a proud victory and each man Grips are of exotic Brazilian Rosewood. The entire package is available performed his individual bit of heroism. This collector's item comes pacl<aged from your Colt's Registered Dealer. To honor everyone who had in a rich Obeche wood case along Also available—the European Theater a part in that victory, Colt's is offering with seven, deactivated nickel-plated Commemorative. Ask about it. a limited-number, 25th anniversary cartridges. Also included is a special Colt's Small Arms Division, Commemorative. Hartford, Connecticut 06102. The American APRIL 1970 I'olumc 8S, Number l LEGION CHANGE OF ADDRESS: Notify Circulation Dept.. P. O. Box 1954. Indianapolis, Ind.. 46206 using Post Oificc Form 3578. Attacli old address label and give old and new addresses with ZIP* Code Magazine number and current membership card number. Also be sure to notify your Post Ad j u taut. The American Legion Magazine Editorial & Advertising Offices 1345 Avenue of the Americas Contents for April 1970 New York, New York 10019 Publisher, James F. -
1 Alma Mater Studiorum
ALMA MATER STUDIORUM - UNIVERSITA' DI BOLOGNA SCUOLA DI LETTERE E BENI CULTURALI Corso di Laurea Magistrale in Antropologia Culturale ed Etnologia TITOLO DELLA TESI I VIDEOGIOCHI NELLA BIBLIOTECA PUBBLICA: DALLE ORIGINI AL “MULTIPLO” CENTRO CULTURA DI CAVRIAGO (2011) Tesi di laurea in Storia del Libro e Biblioteconomia Relatore Prof: Paolo Tinti Correlatore Prof: Francesco Mazzetta Presentata da: Corrado Consiglio Appello terzo Anno accademico 2017-2018 1 Ringraziamenti La lista di persone da ringraziare sarebbe molto lunga ma prima di tutto mi sembra opportuno ringraziare il mio relatore, il Prof. Paolo Tinti, che mi ha dato la possibilità di esprimere la mia passione per i videogiochi in un lavoro concreto, dettagliato e curato. Un grazie naturalmente a Francesco Mazzetta, mio correlatore appassionato di videogiochi come me e punto di riferi- mento fondamentale per risolvere i miei numerosi dubbi e quesiti su questioni più biblioteco- nomiche che videoludiche. Grazie alla mia famiglia che ha sempre creduto in me e mi ha supportato, nonostante il lungo periodo che ho impiegato per portare a termine questa tesi. Uno speciale ringraziamento va a tutto lo staff del Servizio Giochi e del “Multiplo” di Cavriago, in particolare ad Alfonso Noviello, il cui aiuto è stato importantissimo sia durante il mio periodo di servizio civile che per la realizzazione di questo lavoro. Infine vorrei ringraziare tutti i mei amici che mi hanno affettuosamente sopportato durante i diversi momenti di difficoltà, spesso causati dal classico blocco dello scrittore. In particolare vorrei ringraziare Stefano Dal Monte per la sua consulenza linguistica con l’inglese e le chat ilari su Facebook tra un paragrafo e l’altro. -
EXTENSIONS of REMARKS 3289 EXTENSIONS of REMARKS SUPPORT for the NIXON PEACE End Its War with the DRV
February 8, 1972 EXTENSIONS OF REMARKS 3289 EXTENSIONS OF REMARKS SUPPORT FOR THE NIXON PEACE end its war with the DRV. Now, at the Paris person-to-person communication can PLAN COULD FOSTER AN END TO forums, the U.S. Ipay be able to end a similar contribute so much to the cause of world war. The Nixon-Kissinger proposal recog peace and understanding. A TERRIBLE WAR nizes that determination of Vietnam's politi cal future-indeed, the future of all Indo I congratulate Youth For Understand Ohlna-must be left to the dynamics of in ing on reaching this milestone and would HON. HOWARD W. ROBISON ternal politics and forces there. And by ex like to share with my colleagues the fol OF NEW YORK pressing its willingness to separate political lowing letter from a YFU participant in IN THE HOUSE OF REPRESENTATIVES settlement considerations from military Maryland's Eighth District-a fine testi ones, the American position gains important mony to the worthiness of such pro Monday, February 7, 1972 room for m.aneuver, as Hanoi denounces the grams. proposed electoral scenario. Mr. ROBISON of New York. Mr. The beauty of these eight points, and of The letter follows: Speaker, I have previously expressed the Viet Cong's July, 1971, seven points, ls BETHESDA, MD. January 29, 1972. here my support for President Nixon's that while to each side their substance may The Honorable GILBERT GUDE, new peace initiatives, calling the plan he not be negotiable, there ls considerable Cannon House Office Building, announced on January 25 both construc chance for the U.S.