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Acquisition Of Complex Arithmetic Skills And Higher Order Mathematics Concepts

Author: David C. Geary
Publisher: Academic Press
ISBN: 0128133686
Size: 55.86 MB
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Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

Mathematical Learning And Understanding In Education

Author: Kristie Newton
Publisher: Routledge
ISBN: 1134983522
Size: 67.80 MB
Format: PDF, Mobi
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Mathematics holds an essential, ubiquitous presence in the education sector, as do ongoing explorations of its effective teaching and learning. Written by leading experts on mathematics and mathematics education, this book situates issues of student thinking and learning about mathematics within the broader context of educational psychology research and theory and brings them to a wider audience. With chapters on knowing and understanding mathematics, mathematical habits, early mathematical thinking, and learning mathematics, this concise volume is designed for any educational psychology, mathematics education, or general education course that includes student learning in the curriculum. It will be indispensable for student researchers and both pre- and in-service teachers alike.

Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds

Author: Carolyn Kieran
Publisher: Springer
ISBN: 3319683519
Size: 54.66 MB
Format: PDF, Kindle
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This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Language And Culture In Mathematical Cognition

Author: Daniel B. Berch
Publisher: Academic Press
ISBN: 0128125756
Size: 73.83 MB
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Language and Culture in Mathematical Cognition, Fourth Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers

Cliffsnotes Praxis Ii Education Of Exceptional Students 0353 0382 0542 0544 Second Edition

Author: Judy L Paris
Publisher: Houghton Mifflin Harcourt
ISBN: 0544183444
Size: 63.77 MB
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An updated edition of the market-leading guide Subject reviews for each of the four Praxis II Education of Exceptional Students tests covered in the book 6 model practice tests: two 0353 practice tests; two 0542 practice tests; one 0382 practice test; and one 0544 practice test

Higher Mathematics For Physics And Engineering

Author: Hiroyuki Shima
Publisher: Springer Science & Business Media
ISBN: 9783540878643
Size: 61.79 MB
Format: PDF, Docs
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Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

Designing Training And Instructional Programs For Older Adults

Author: Sara J. Czaja
Publisher: CRC Press
ISBN: 1439847878
Size: 44.22 MB
Format: PDF, Kindle
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Current and emerging trends in the domains of health management and the work sector, the abundance of new consumer products pervading the marketplace, and the desires of many older adults to undertake new learning experiences means that older adults, like their younger counterparts, will need to continually engage in new learning and training. Thus, understanding the challenges that older people face when confronted with new learning and training programs and developing potential strategies to overcome them is imperative. A comprehensive state-of-the-science review, Designing Training and Instructional Programs for Older Adults explores a broad range of issues, from the implications of theories of learning for designing instruction for older adults to adapting current perspectives on methods of instructional design to accommodate the capabilities and limitations of older learners. The authors provide an understanding of today’s older adults—their demographics, their needs, the challenges facing them, and a realistic appraisal of their abilities and limitations—as a basis for how current knowledge about training and instructional design should be shaped and applied to best accommodate this population of learners. They discuss topics such as retention and transfer of training, sequencing the order of instruction, e-learning, multimedia training formats, and the assessment and evaluation of training programs from the perspective of issues relevant to older learners. They also highlight the challenges presented by this very heterogeneous group that varies tremendously in backgrounds, skills, knowledge, and abilities. Focusing on how learning occurs, the authors’ balanced coverage makes the book readable and enlightening across a wide spectrum of professionals and academics, including human factors/ergonomics specialists, gerontologists, managers, educators, undergraduate and graduate students, and the design community. The book supplies concise recommendations that will have direct impact on the design of instructional programs and for those individuals who are responsible for the training and performance of older people.

You Want Me To Teach What

Author: Norman Joseph LaFave
Publisher: NSTA Press
ISBN: 1936959011
Size: 51.32 MB
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Problem: You feel shaky about being assigned to teach upper-level science and math and need to get up to speed fast. Solution: Follow this concise book s tried-and-true methods, which you can integrate into your classroom and lesson plans starting from the first day of class. You Want Me to Teach What? avoids long discussions of education theory and specific lesson plans. Instead, it concentrates on general techniques for approaching a variety of problems and enhancing your teaching skills in science and math. It covers student psychology, classroom management, planning, instruction, problem-solving techniques, laboratory methods and reporting, assessment, and professional development. Without feeling inundated, you’ll find a wealth of sensible guidance whether you’re a preservice education major wanting to teach physical science or mathematics, a new teacher looking for practical methods to integrate into your instruction, or an experienced teacher in search of fresh ways to improve in the classroom.


From Rigorous Standards To Student Achievement

Author: Michael D. Rettig
Publisher: Eye On Education
ISBN: 1930556624
Size: 65.24 MB
Format: PDF, Kindle
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This book showcases strategies which support teachers and principals as they implement high standards for students. At the same time, it demonstrates how to meet the needs of diverse learners.