Language and Mathematics

Publications pertinent to language and mathematics education include: Language and Mathematical Education by John L. Austin and Albert G. Howson, Language in Mathematics Teaching and Learning by Mary J. Schleppegrell, A Morphology of Teacher Discourse in the Mathematics Classroom by Libby Knott, Bharath Sriraman and Irv Jacob, The Teacher’s Discourse Moves: A Framework for Analyzing Discourse in Mathematics Classrooms by Libby Krussel, Barbara Edwards and G. T. Springer, Stance and Engagement in Pure Mathematics Research Articles: Linking Discourse Features to Disciplinary Practices by Lisa McGrath and Maria Kuteeva, University Language: A Corpus-based Study of Spoken and Written Registers by Douglas Biber and Relations between Text and Mathematics across Disciplines by Philip Shaw.

Publications pertinent to language and mathematics tutoring include: Tutorial Dialogs on Mathematical Proofs by Christoph Benzmüller, Armin Fiedler, Malte Gabsdil, Helmut Horacek, Ivana Kruijff-Korbayová, Manfred Pinkal, Jörg Siekmann, Dimitra Tsovaltzi, Bao Quoc Vo and Magdalena Wolska, Language Phenomena in Tutorial Dialogs on Mathematical Proofs by Ivana Kruijff-Korbayová, Dimitra Tsovaltzi, Bao Quoc Vo and Magdalena Wolska, Interpreting Semi-formal Utterances in Dialogs about Mathematical Proofs by Helmut Horacek and Magdalena Wolska, Understanding Informal Mathematical Discourse by Claus W. Zinn and Students’ Language in Computer-assisted Tutoring of Mathematical Proofs by Magdalena Wolska.

Publications pertinent to written mathematical language include: Mathematical Discourse: Language, Symbolism and Visual Images by Kay O’Halloran, Reading Mathematical Exposition by Regina B. Brunner, The Effect of the Symbols and Structures of Mathematical English on the Reading Comprehension of College Students by Ann E. Watkins, Reading Comprehension in Mathematics by Peter Fuentes and Characterizing Reading Comprehension of Mathematical Texts by Magnus Österholm.

Publications pertinent to symbolic declarations, linguistic precedents, lexical entrainment and differentiation include: Symbol Declarations in Mathematical Writing: A Corpus Study by Magdalena Wolska and Mihai Grigore, Directives: Argument and Engagement in Academic Writing by Ken Hyland, Conceptual Pacts and Lexical Choice in Conversation by Susan E. Brennan and Herbert H. Clark, Anchoring Comprehension in Linguistic Precedents by Dale J. Barr and Boaz Keysar, Lexical Entrainment in Spontaneous Dialog by Susan E. Brennan and Lexical Entrainment and Lexical Differentiation in Reference Phrase Choice by Mija M. Van der Wege.

Publications pertinent to vocabulary learning and mathematical vocabulary learning include: Learning Vocabulary through Reading by Joseph R Jenkins, Marcy L Stein and Katherine Wysocki, Learning Word Meanings from Context during Normal Reading by William E. Nagy, Richard C. Anderson and Patricia A. Herman, Most Vocabulary is Learned from Context by Robert J. Sternberg, The Acquisition of Word Meanings: A Developmental Study by Heinz Werner and Edith Kaplan, Definition and Specification of Meaning by Abraham Kaplan, The Role of Definitions in the Teaching and Learning of Mathematics by Shlomo Vinner, Words, Definitions and Concepts in Discourses of Mathematics, Teaching and Learning by Candia Morgan, Definitions: Dealing with Categories Mathematically by Lara Alcock and Adrian Simpson, Construction of Mathematical Definitions: An Epistemological and Didactical Study by Cécile Ouvrier-Buffet and Definition-construction and Concept Formation by Cécile Ouvrier-Buffet.

Publications pertinent to understanding mathematical expressions include: Towards Mathematical Expression Understanding by Minh-Quoc Nghiem, Giovanni Yoko, Yuichiroh Matsubayashi and Akiko Aizawa, Unpacking the Logic of Mathematical Statements by John Selden and Annie Selden, The Structure of Mathematical Expressions by Deyan Ginev, A Model of the Cognitive Meaning of Mathematical Expressions by Paul Ernest, The Construction of Mental Representations During Reading edited by Herre Van Oostendorp and Susan R. Goldman and The Role of Conceptual Entities and their Symbols in Building Advanced Mathematical Concepts by Guershon Harel and James Kaput.

Publications pertinent to context and the understanding of mathematical language include: Participating in Explanatory Dialogues: Interpreting and Responding to Questions in Context by Johanna D. Moore and Joanna D. Moore, Integrating Task Information into the Dialogue Context for Natural Language Mathematics Tutoring by Mark Buckley and Dominik Dietrich, Towards Context-based Disambiguation of Mathematical Expressions by Mihai Grigore, Magdalena Wolska and Michael Kohlhase, Using Discourse Context to Interpret Object-denoting Mathematical Expressions by Magdalena Wolska, Mihai Grigore and Michael Kohlhase, Modeling Anaphora in Informal Mathematical Dialogue by Magdalena Wolska and Korbayová, Lexical Disambiguation in a Discourse Context by Nicholas Asher and Alex Lascaridesy, Discourse Pragmatics and Semantic Categorization by Ellen Contini-Morava, The Effect of Context on the Structure of Categories by Emilie M. Roth and Edward J. Shoben, Inferences about Contextually Defined Categories by Gail McKoon and Roger Ratcliff, Context-relative Syntactic Categories and the Formalization of Mathematical Text by Aarne Ranta, Context and Structure in Conceptual Combination by Douglas L. Medin and Edward J. Shoben, Wayne Cowart and Ann D. Jablon, Contextually Relevant Aspects of Meaning Gail McKoon and Roger Ratcliff and Effects of Prior Context upon the Integration of Lexical Information during Sentence Processing by Helen S. Cairns.

Publications pertinent to text inferencing and reading comprehension include: Inference during Reading by Gail McKoon and Roger Ratcliff, A Theory of Inference Generation during Text Comprehension by Arthur C. Graesser and Roger J. Kreuz, Computing Presuppositions and Implicatures in Mathematical Discourse by Claus Zinn, An Experimental Study on Pragmatic Inferences: Processing Implicatures and Presuppositions by Napoleon Katsos and Automaticity and Inference Generation during Reading Comprehension by Richard Thurlow and Paul van den Broek.

Publications pertinent to generating natural language from mathematics include: The Translation of Formal Proofs into English by Daniel Chester, English Summaries of Mathematical Proofs by Marianthi Alexoudi, Claus Zinn and Alan Bundy and Generating Arguments in Natural Language by Chris Reed, Algebraic Model and Implementation of Translation between Logic and Natural Language by Chen Peng and Proof Verbalization as an Application of NLG by Xiaorong Huang and Armin Fiedler.

Publications pertinent to natural language generation macroplanning and mathematics include: Using a Cognitive Architecture to Plan Dialogs for the Adaptive Explanation of Proofs by Armin Fiedler, Macroplanning with a Cognitive Architecture for the Adaptive Explanation of Proofs by Armin Fiedler, Planning Reference Choices for Argumentative Texts by Xiaorong Huang, Granularity-adaptive Proof Presentation by Marvin Schiller and Christoph Benzmüller and An Algorithm for Generating Document-deictic References by Ivandré Paraboni.

Publications pertinent to generating referring expressions include: Managing Lexical Ambiguity in the Generation of Referring Expressions by Imtiaz H. Khan and Muhammad Haleem, Alignment in Interactive Reference Production: Content Planning, Modifier Ordering, and Referential Overspecification by Martijn Goudbeek and Emiel Krahmer, Generation of Repeated References to Discourse Entities by Anja Belz and Sebastian Varges and Contextual Influences on Attribute Selection for Repeated Descriptions by Pamela W. Jordan.

Publications pertinent to lexical selection include: Concept-based Lexical Selection by Bonnie Dorr, Clare Voss, Eric Peterson and Michael Kiker, From Concepts to Lexical Items by Manfred Bierwisch and Robert Schreuder, A Theory of Lexical Access in Speech Production by Willem J. Levelt, Lexicalization Patterns: Semantic Structure in Lexical Forms by Leonard Talmy and Vocabulary Choice as an Indicator of Perspective by Beata Beigman Klebanov, Eyal Beigman and Daniel Diermeier.

Publications pertinent to generating mathematical expressions for inferencing and presentation include: Computer Presentations of Structure in Algebra by Patrick W. Thompson and Alba G. Thompson and Representation of Mathematical Concepts for Inferencing and for Presentation Purposes by Helmut Horacek, Armin Fiedler, Andreas Franke, Markus Moschner, Martin Pollet and Volker Sorge.

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