The Mathematics In Our Hands

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The Mathematics In Our Hands

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Author : Christina M Krause
language : en
Publisher: Springer
Release Date : 2016-01-08

The Mathematics In Our Hands written by Christina M Krause and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-08 with Education categories.

In her empirical study, Christina Krause investigates how gestures can contribute to epistemic processes in social interactions. She expands the traditional speech-based approach to analyzing social processes of constructing mathematical knowledge by employing a multimodal perspective. Adopting a semiotic approach, she takes into account two functions of gestures as signs used by the participants of the social interaction: the representational function concerns the ways in which gestures take part in referring to a mathematical object in processes of knowledge construction and the epistemic function relates to the ways in which they can contribute to the performance of collective epistemic actions. The results of this study reveal that gestures influence the epistemic process significantly more than previously thought and indicate factors underlying this influence.

Mathematical Discourse That Breaks Barriers And Creates Space For Marginalized Learners

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Author :
language : en
Publisher: BRILL
Release Date : 2017-01-01

Mathematical Discourse That Breaks Barriers And Creates Space For Marginalized Learners written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-01 with Education categories.

For the past decade reform efforts have placed importance on all students being able to participate in collaborative and productive mathematical discourse as an essential component for their learning of mathematics with deep conceptual understandings. In this book our intent is to support mathematics education researchers, teacher educators, teachers and policy makers in providing positive solutions to the enduring challenge in mathematics education of enabling all participants including diverse students to equitably access mathematical discourse. By diverse learners we mean learners who are minoritized in terms of gender, disability, or/and social, cultural, ethnic, racial or language backgrounds. We aim to increase understanding about what it means to imagine, design and engage with policy and practice which enhance opportunities for all students to participate in productive mathematical discourse. In widening the lens across policy and practice settings we recognize the interplay between the many complex factors that influence student participation in mathematics. The various chapters tell practical stories of equitable practices for diverse learners within a range of different contexts. Different research perspectives, empirical traditions, and conceptual foci are presented in each chapter. Various aspects of diversity are raised, issues of concern are engaged with, and at times conventional wisdom challenged as the authors provide insights as to how educators may address issues of equitable access of minoritized learners to the mathematical discourse within settings across early primary through to high school, and situated in schools or in family and community settings.

In Our Hands

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Author : Ameetha Palanki
language : en
Publisher:
Release Date : 1995

In Our Hands written by Ameetha Palanki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Community and school categories.

Mathematics Education And Language Diversity

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Author : Richard Barwell
language : en
Publisher: Springer
Release Date : 2015-11-25

Mathematics Education And Language Diversity written by Richard Barwell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-25 with Education categories.

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity

The Mathematics Of Shuffling Cards

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Author : Persi Diaconis
language : en
Publisher: American Mathematical Society
Release Date : 2023-03-20

The Mathematics Of Shuffling Cards written by Persi Diaconis and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-20 with Mathematics categories.

This book gives a lively development of the mathematics needed to answer the question, “How many times should a deck of cards be shuffled to mix it up?” The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table. The mathematics ranges from probability (Markov chains) to combinatorics (symmetric function theory) to algebra (Hopf algebras). There are applications to magic tricks and gambling along with a careful comparison of the mathematics to the results of real people shuffling real cards. The book explores links between shuffling and higher mathematics—Lie theory, algebraic topology, the geometry of hyperplane arrangements, stochastic calculus, number theory, and more. It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics. The book can serve as a text for an upper division course in mathematics, statistics, or computer science departments and will be appreciated by graduate students and researchers in mathematics, statistics, and computer science, as well as magicians and people with a strong background in mathematics who are interested in games that use playing cards.

Rethinking The Mathematics Curriculum

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Author : Celia Hoyles
language : en
Publisher: Routledge
Release Date : 2002-01-04

Rethinking The Mathematics Curriculum written by Celia Hoyles and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-04 with Education categories.

At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.

Teaching Mathematics In The Visible Learning Classroom Grades K 2

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Author : John Almarode
language : en
Publisher: Corwin Press
Release Date : 2019-01-09

Teaching Mathematics In The Visible Learning Classroom Grades K 2 written by John Almarode and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-09 with Education categories.

Select the right task, at the right time, for the right phase of learning Young students come to elementary classrooms with different background knowledge, levels of readiness, and learning needs. What works best to help K–2 students develop the tools to become visible learners in mathematics? What works best for K-=–2 mathematics learning at the surface, deep, and transfer levels? In this sequel to the megawatt bestseller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Kateri Thunder, John Hattie, and Nancy Frey help you answer those questions by showing how Visible Learning strategies look in action in K–2 mathematics classrooms. Walk in the shoes of teachers as they mix and match the strategies, tasks, and assessments seminal to making conceptual understanding, procedural knowledge, and the application of mathematical concepts and thinking skills visible to young students as well as to you. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every K–2 student.

Hand

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Author : Raymond Tallis
language : en
Publisher: Edinburgh University Press
Release Date : 2019-08-07

Hand written by Raymond Tallis and has been published by Edinburgh University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-07 with Philosophy categories.

No detailed description available for "The Hand".

Psychology And Mathematics Education

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Author : Gila Hanna
language : en
Publisher: Frontiers Media SA
Release Date : 2023-09-05

Psychology And Mathematics Education written by Gila Hanna and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Science categories.

Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).

The Hand An Organ Of The Mind

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Author : Zdravko Radman
language : en
Publisher: MIT Press
Release Date : 2013-05-10

The Hand An Organ Of The Mind written by Zdravko Radman and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-10 with Philosophy categories.

Theoretical and empirical accounts of the interconnectedness between the manual and the mental suggest that the hand can be understood as a cognitive instrument. Cartesian-inspired dualism enforces a theoretical distinction between the motor and the cognitive and locates the mental exclusively in the head. This collection, focusing on the hand, challenges this dichotomy, offering theoretical and empirical perspectives on the interconnectedness and interdependence of the manual and mental. The contributors explore the possibility that the hand, far from being the merely mechanical executor of preconceived mental plans, possesses its own know-how, enabling "enhanded" beings to navigate the natural, social, and cultural world without engaging propositional thought, consciousness, and deliberation. The contributors consider not only broad philosophical questions—ranging from the nature of embodiment, enaction, and the extended mind to the phenomenology of agency—but also such specific issues as touching, grasping, gesturing, sociality, and simulation. They show that the capacities of the hand include perception (on its own and in association with other modalities), action, (extended) cognition, social interaction, and communication. Taken together, their accounts offer a handbook of cutting-edge research exploring the ways that the manual shapes and reshapes the mental and creates conditions for embodied agents to act in the world. Contributors Matteo Baccarini, Andrew J. Bremner, Massimiliano L. Cappuccio, Andy Clark, Jonathan Cole, Dorothy Cowie, Natalie Depraz, Rosalyn Driscoll, Harry Farmer, Shaun Gallagher, Nicholas P. Holmes, Daniel D. Hutto, Angelo Maravita, Filip Mattens, Richard Menary, Jesse J. Prinz, Zdravko Radman, Matthew Ratcliffe, Etiennne B. Roesch, Stephen V. Shepherd, Susan A.J. Stuart, Manos Tsakiris, Michael Wheeler