Leveled Texts: Multiple Representations-Many Ways to Look at It

Leveled Texts: Multiple Representations-Many Ways to Look at It
Author: Lori Barker
Publisher: Teacher Created Materials
Total Pages: 9
Release: 2014-01-01
Genre: Mathematics
ISBN: 1425877583

All students can learn about coordinate planes through text written at four different reading levels. Symbols on the pages represent reading-level ranges to help differentiate instruction. Provided comprehension questions complement the text.

Handbook of Learning from Multiple Representations and Perspectives

Handbook of Learning from Multiple Representations and Perspectives
Author: Peggy Van Meter
Publisher: Routledge
Total Pages: 696
Release: 2020-03-10
Genre: Education
ISBN: 0429813651

In and out of formal schooling, online and off, today’s learners must consume and integrate a level of information that is exponentially larger and delivered through a wider range of formats and viewpoints than ever before. The Handbook of Learning from Multiple Representations and Perspectives provides a path for understanding the cognitive, motivational, and socioemotional processes and skills necessary for learners across educational contexts to make sense of and use information sourced from varying inputs. Uniting research and theory from education, psychology, literacy, library sciences, media and technology, and more, this forward-thinking volume explores the common concerns, shared challenges, and thematic patterns in our capacity to make meaning in an information-rich society. Chapter 16 of this book is freely available as a downloadable Open Access PDF under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license available at http://www.taylorfrancis.com/books/e/9780429443961.

Leveled Texts for Mathematics: Algebra and Algebraic Thinking

Leveled Texts for Mathematics: Algebra and Algebraic Thinking
Author: Lori Barker
Publisher: Teacher Created Materials
Total Pages: 150
Release: 2011-06-01
Genre: Education
ISBN: 9781425807160

With a focus on algebra, a guide to using leveled texts to differentiate instruction in mathematics offers fifteen different topics with high-interest text written at four different reading levels, accompanied by matching visuals and practice problems.

Multiple Representations in Chemical Education

Multiple Representations in Chemical Education
Author: John K. Gilbert
Publisher: Springer Science & Business Media
Total Pages: 369
Release: 2009-02-28
Genre: Science
ISBN: 1402088728

Chemistry seeks to provide qualitative and quantitative explanations for the observed behaviour of elements and their compounds. Doing so involves making use of three types of representation: the macro (the empirical properties of substances); the sub-micro (the natures of the entities giving rise to those properties); and the symbolic (the number of entities involved in any changes that take place). Although understanding this triplet relationship is a key aspect of chemical education, there is considerable evidence that students find great difficulty in achieving mastery of the ideas involved. In bringing together the work of leading chemistry educators who are researching the triplet relationship at the secondary and university levels, the book discusses the learning involved, the problems that students encounter, and successful approaches to teaching. Based on the reported research, the editors argue for a coherent model for understanding the triplet relationship in chemical education.

Fourier Analysis on Finite Groups and Applications

Fourier Analysis on Finite Groups and Applications
Author: Audrey Terras
Publisher: Cambridge University Press
Total Pages: 456
Release: 1999-03-28
Genre: Mathematics
ISBN: 9780521457187

It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.

Multiple Representations in Biological Education

Multiple Representations in Biological Education
Author: David F. Treagust
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 2013-02-01
Genre: Science
ISBN: 9400741928

This new publication in the Models and Modeling in Science Education series synthesizes a wealth of international research on using multiple representations in biology education and aims for a coherent framework in using them to improve higher-order learning. Addressing a major gap in the literature, the volume proposes a theoretical model for advancing biology educators’ notions of how multiple external representations (MERs) such as analogies, metaphors and visualizations can best be harnessed for improving teaching and learning in biology at all pedagogical levels. The content tackles the conceptual and linguistic difficulties of learning biology at each level—macro, micro, sub-micro, and symbolic, illustrating how MERs can be used in teaching across these levels and in various combinations, as well as in differing contexts and topic areas. The strategies outlined will help students’ reasoning and problem-solving skills, enhance their ability to construct mental models and internal representations, and, ultimately, will assist in increasing public understanding of biology-related issues, a key goal in today’s world of pressing concerns over societal problems about food, environment, energy, and health. The book concludes by highlighting important aspects of research in biological education in the post-genomic, information age.

Introduction to Representation Theory

Introduction to Representation Theory
Author: Pavel I. Etingof
Publisher: American Mathematical Soc.
Total Pages: 240
Release: 2011
Genre: Mathematics
ISBN: 0821853511

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Learning with Multiple Representations

Learning with Multiple Representations
Author: Maarten W. van Someren
Publisher: Emerald Group Publishing
Total Pages: 360
Release: 1998
Genre: Computers
ISBN: 9780080433431

Aims to collect papers on learning declarative knowledge and problem solving skills that involve multiple representations such as graphical and mathematical representations, knowledge at different levels of abstraction. This book covers approaches to this topic from different perspectives: educational, cognitive modelling and machine learning.

Fundamentals of Computational Neuroscience

Fundamentals of Computational Neuroscience
Author: Thomas Trappenberg
Publisher: Oxford University Press
Total Pages: 417
Release: 2010
Genre: Mathematics
ISBN: 0199568413

The new edition of Fundamentals of Computational Neuroscience build on the success and strengths of the first edition. Completely redesigned and revised, it introduces the theoretical foundations of neuroscience with a focus on the nature of information processing in the brain.

Text Representation

Text Representation
Author: Ted Sanders
Publisher: John Benjamins Publishing
Total Pages: 378
Release: 2001
Genre: Language Arts & Disciplines
ISBN: 9781588110770

This book brings together linguistics and psycholinguistics. Text representation is considered a cognitive entity: a mental construct that plays a crucial role in both text production and text understanding.The focus is on referential and relational coherence and the role of linguistic characteristics as processing instructions from a text linguistic and discourse psychology point of view. Consequently, this book presents various research methodologies: linguistic analysis, text analysis, corpus linguistics, computational linguistics, argumentation analysis, and the experimental psycholinguistic study of text processing. The authors compare, test, and evaluate linguistic and processing theories of text representation.A state of the art volume in an emerging field of interest, located at the very heart of our communicative behavior: the study of text and text representation.