Counting Blocks Or Keyboards?

Counting Blocks Or Keyboards?

Author: Sonya E. Brown

Publisher:

Published: 2007

Total Pages: 39

ISBN-13:

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This study was designed to investigate the impact of using computer-simulated (virtual ) manipulatives and hands-on (concrete) manipulatives on elementary students' learning skills and concepts in equivalent fractions. The researcher's primary interest was whether or not students who used virtual manipulatives would out-perform students who used concrete manipulatives on the researcher/teacher-generated posttest. A secondary interest for the researcher was students' attitudes about using manipulatives in the mathematics classroom. The research sample consisted of 48 sixth-grade urban public school students. There were two treatment groups. Group A consisted of students who received equivalent fraction instruction with the use of virtual manipulatives. Group B, the control group, received equivalent fraction instruction with the use of concrete manipulatives. The researcher issued a pretest to both groups, prior to manipulative use and instruction. Following manipulative use and instruction, the researcher issued a posttest. The researcher also issued a students' attitudes survey at the end of the study. To analyze the data generated by the pre and posttests, the researcher used a two-sample, paired-data t-test with a confidence level of 0.05. After studying the results of the t-test, the researcher concluded that students who received equivalent fraction instruction with concrete manipulatives out-performed students who received equivalent fraction instruction with virtual manipulatives. The researcher also concluded that the use of manipulatives, both virtual and concrete, enhanced the learning environment in the elementary mathematics classroom. Appended are: (1) Informed Consent Form; (2) Parental Acknowledgement and Consent; (3) Mathematics Pretest; (4) Mathematics Posttest; (5) Students' Attitudes Survey; and (6) List of Manipulatives Used. (Contains 4 tables and 12 figures.).


Strategies for Mathematics Instruction and Intervention, K-5

Strategies for Mathematics Instruction and Intervention, K-5

Author: Chris Weber

Publisher: Solution Tree Press

Published: 2015-01-08

Total Pages: 256

ISBN-13: 193676332X

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Build a solid mathematics program by emphasizing prioritized learning goals and integrating RTI into your curriculum. Prepare students to move forward in mathematics learning, and ensure their continued growth in critical thinking and problem solving. With this book, you’ll discover an RTI model that provides the mathematics instruction, assessment, and intervention strategies necessary to meet the complex, diverse needs of students.


Bach's Numbers

Bach's Numbers

Author: Ruth Tatlow

Publisher: Cambridge University Press

Published: 2015-08-06

Total Pages:

ISBN-13: 131635234X

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In eighteenth-century Germany the universal harmony of God's creation and the perfection of its proportions still held philosophical, moral and devotional significance. Reproducing proportions close to the unity (1:1) across compositions could render them beautiful, perfect and even eternal. Using the principles of her groundbreaking theory of proportional parallelism and the latest source study research, Ruth Tatlow reveals how Bach used the number of bars to create numerical perfection across his published collections, and explains why he did so. The first part of the book illustrates the wide-ranging application of belief in the unity, showing how planning a well-proportioned structure was a normal compositional procedure in Bach's time. In the second part Tatlow presents practical demonstrations of this in Bach's works, illustrating the layers of proportion that appear within a movement, a work, between two works in a collection, across a collection and between collections.


Being Your Child’s Most Important Teacher: A Guide for Families with Young Children

Being Your Child’s Most Important Teacher: A Guide for Families with Young Children

Author: Rebecca A. Palacios

Publisher: Teacher Created Materials

Published: 2022-08-01

Total Pages: 183

ISBN-13: 1087663598

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Prepare young learners for school with engaging learning experiences! This book provides families with ideas for learning opportunities that can happen every day. Being Your Child’s Most Important Teacher: A Guide for Families with Young Children includes: • A variety of free or low-cost learning activities designed for parents and families • Specific tasks that boost literacy, math, science, social studies, and vocabulary skills • Advice and techniques from nationally renowned educator Rebecca A. Palacios • Guidance for preparing children for school, including tips for preventing summer learning loss Early childhood experiences pave the way for later success in school and life. The ideas and activities in this book help support children’s mental, emotional, and social growth as they get ready to enter school. Using these meaningful strategies, families can enrich and enlighten children with a sense of wonder. Build school readiness for young learners with this exciting book!


Approximate Number System and Mathematics

Approximate Number System and Mathematics

Author: Jingguang Li

Publisher: Frontiers Media SA

Published: 2019-11-25

Total Pages: 176

ISBN-13: 2889632083

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Humans process quantity information without the aid of language or symbols to guide a variety of everyday life decisions. The cognitive system that supports this intuitive skill is often referred to as the approximate number system (ANS). It has been argued that the ANS serves as the foundation of the formal symbolic number system—mathematics. Abundant empirical evidence is supportive of this view: acuity of the ANS is positively correlated with symbolic math performance, training of the ANS may cause improvements in symbolic math performance, and the ANS and symbolic number processing may share a common neural underpinning. However, recently several theories and empirical data cast doubt on the role of the ANS in symbolic math processing. This e-book aims to advance our understanding of the underlying mechanisms of the overlap between the ANS and mathematics.


PC Mag

PC Mag

Author:

Publisher:

Published: 1983-10

Total Pages: 660

ISBN-13:

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PCMag.com is a leading authority on technology, delivering Labs-based, independent reviews of the latest products and services. Our expert industry analysis and practical solutions help you make better buying decisions and get more from technology.


On the Nature and Scope of Habits and Model-Free Control

On the Nature and Scope of Habits and Model-Free Control

Author: John A. Bargh

Publisher: Frontiers Media SA

Published: 2020-12-30

Total Pages: 199

ISBN-13: 2889663000

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N.B. This Research Topic was co-developed with David Melnikoff - a junior Topic Editor managing this article collection but not involved in editing manuscripts submitted to this Research Topic.


Assistive Technology

Assistive Technology

Author: Ger M. Craddock

Publisher: IOS Press

Published: 2003

Total Pages: 1130

ISBN-13: 9781586033736

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This publication covers different themes in the field of assistive technology. The theme New technologies will explore the significant advances in technology research & development and how these can be harnessed to benefit people with disabilities. This will include evolving technologies, affording interesting insights into the future. The theme User Centred Approach will look at fundamental ways in which the EU advocate a philosophy of citizenship and governance and how this philosophy can be advanced to ensure that people with disabilities become central to the assistive technology process Another issue that is explored in this publication is Interdisciplinary Approaches which can be developed within assistive technology and the provision of services to people with disabilities. Finally, it concentrates on ways in which practitioners and users, working together within assistive technology, can achieve best practice in the development and implementation of Guidelines and Standards across a broad spectrum.


Handy numbers: finger counting and numerical cognition

Handy numbers: finger counting and numerical cognition

Author: Frank Domahs

Publisher: Frontiers E-books

Published:

Total Pages: 106

ISBN-13: 2889190595

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We are born with a “number sense” - the ability to respond to numerosity, which we share with other vertebrates. This inherited numerosity representation is approximate and follows the Weber-Fechner law that governs sensory perception. As educated adults we can also use culturally developed abstract symbol systems to represent exact numerosities – in particular number words and Arabic numbers. This developmental stage is preceded by an apparently transient phase of finger counting and finger calculation. In fact, the use of fingers to represent number is ubiquitous across ages and cultures. Children use finger counting even if they are discouraged to do so, sometimes even before they are able to utter the number word sequence. Furthermore, finger counting strategies may also be used by adults diagnosed with dyscalculia to make up for a deficient or absent mental number representation. The advantages of finger counting are evident: Fingers are readily available and perceptually salient, finger-numerical representations support short term memory and they provide a transparent one-to-one relationship between to-be-counted objects and their representation. Obviously, however, these advantages only hold for small numbers. Fully transparent finger counting systems are limited to the number range between zero and ten. Larger numbers can only be represented in perceptually less salient or symbolic ways. In recent years, a growing body of evidence has suggested that finger-based representations of number do not form an arbitrary and transient stage of cognitive development. Rather, they seem to provide a good example of embodied cognition. According to this influential viewpoint, all of our knowledge is represented together with the sensory and motor activity that was present during its acquisition. As a consequence, even a supposedly abstract cognitive ability such as numerical cognition reuses the neural substrate and inherits functional properties of more basic perceptual and/or motor processes. Consistent with this assumption, finger counting habits and numerical processing do interact even in educated adults, casting doubts on purely abstract accounts of mental number representations. The objective of this Research Topic is to document embodiment signatures in number processing and calculation – a domain of cognition that was long considered to epitomize the abstract symbol manipulation approach to human cognition. To this end, we invite empirical contributions using different methodologies including behavioural, developmental, neuroscientific, educational, cross-cultural, and neuropsychological studies. Moreover, we also seek theoretical contributions, review articles, or opinion papers. Questions to be tackled may include, but are not restricted to the following: Is finger counting only a useful or even a necessary step towards the acquisition of symbolic number representations? What are the neural correlates of the finger-number relationship? Which features of finger counting influence adult number processing – both approximate and exact? How can finger counting systems be classified typologically and how do different finger counting systems influence numerical cognition across cultures and populations? Should finger counting and finger calculation be promoted or discouraged in maths education? How are disturbances of finger gnosis and numerical abilities linked? We hope that this Research Topic will bring together researchers from different backgrounds to fruitfully discuss a topic which has both scientific and every-day relevance.


PC Mag

PC Mag

Author:

Publisher:

Published: 1983-02

Total Pages: 1614

ISBN-13:

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PCMag.com is a leading authority on technology, delivering Labs-based, independent reviews of the latest products and services. Our expert industry analysis and practical solutions help you make better buying decisions and get more from technology.