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Mathematical Conventions: Revisiting Arbitrary and Necessary
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Kontorovich, Igor'; Zazkis, Rina – For the Learning of Mathematics, 2017
Mathematical conventions -- which account for the choices of mathematics community regarding definitions of concepts, their names and symbols -- are the focus of this paper. We introduce the task of unpacking, that is, offering plausible explanations and arguments for the choice of conventions. Using responses of four prospective teachers to the…
Descriptors: Mathematics Education, Mathematical Concepts, Mathematical Applications, Definitions
Connectedness through a Strong Form of TBLT, Classroom Implementation of the CEFR, Cyclical Learning, and Learning-Oriented Assessment
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O'Dwyer, Fergus; Imig, Alexander; Nagai, Noriko – Language Learning in Higher Education, 2014
This paper, fundamentally a procedural paper, outlines pedagogical practices which others may want to adapt for their own purposes. We demonstrate how a strong form of task-based language learning and teaching (TBLT), classroom implementation of the CEFR, cyclical learning, and assessment fulfilling roles, such as informing the next learning…
Descriptors: Second Language Learning, Second Language Instruction, Student Evaluation, Teaching Methods
Individualized Skill Assessment in Digital Learning Games: Basic Definitions and Mathematical Formalism
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Augustin, T.; Hockemeyer, C.; Kickmeier-Rust, M.; Albert, D. – IEEE Transactions on Learning Technologies, 2011
The assessment of knowledge and learning progress in the context of game-based learning requires novel, noninvasive, and embedded approaches. In the present paper, we introduce a mathematical framework which relates the (problem solution) behavior of a learner in the game context to the learner's available and lacking competencies. We argue that a…
Descriptors: Feedback (Response), Mathematics Instruction, Definitions, Educational Games
University Teacher Roles and Competencies in Online Learning Environments: A Theoretical Analysis of Teaching and Learning Practices
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Alvarez, I.; Guasch, T.; Espasa, A. – European Journal of Teacher Education, 2009
The aim of this article is to clarify the university teacher roles and competencies in online learning environments, with a view to assisting in the design of professional development activities. This referential framework results from an extensive review of the literature and from analysing professional development designed in different European…
Descriptors: Electronic Learning, Teacher Role, Online Courses, Professional Development
Development of Efficiency in Visual Functioning: Rationale for a Comprehensive Program.
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Barraga, Natalie C.; Collins, Marcia E. – Journal of Visual Impairment and Blindness, 1979
The article discusses the rationale for a program to develop efficiency in visual functioning for low vision individuals. Detailed identification of all visual functions necessary for maximum efficiency, along with specification of visual tasks related to developmental milestones are charted. (Author/PHR)
Descriptors: Comprehensive Programs, Definitions, Developmental Stages, Efficiency
Colorado Library Network Plan. A Network for Sharing.
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Boucher, Virginia – 1977
A brief history of library development in Colorado is followed by the outline of a plan which delineates four network programs: materials selection, interlibrary loan, reference/information, and communications. Though these programs are interrelated in numerous ways, they are considered here one by one. For each program, the purpose and need, the…
Descriptors: Charts, Communications, Definitions, Glossaries