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Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts
  • Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
  • Publisher : Academic Press
  • Release : 08 February 2017
GET THIS BOOKAcquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

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


International Handbook of Mathematical Learning Difficulties

International Handbook of Mathematical Learning Difficulties
  • Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
  • Publisher : Springer
  • Release : 30 January 2019
GET THIS BOOKInternational Handbook of Mathematical Learning Difficulties

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in


Development of Mathematical Cognition

Development of Mathematical Cognition
  • Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
  • Publisher : Academic Press
  • Release : 03 October 2015
GET THIS BOOKDevelopment of Mathematical Cognition

Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest


Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds
  • Author : Carolyn Kieran
  • Publisher : Springer
  • Release : 04 December 2017
GET THIS BOOKTeaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

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,


Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning
  • Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
  • Publisher : Academic Press
  • Release : 03 January 2019
GET THIS BOOKCognitive Foundations for Improving Mathematical Learning

The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes


Adding It Up

Adding It Up
  • Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Mathematics Learning Study Committee
  • Publisher : National Academies Press
  • Release : 13 November 2001
GET THIS BOOKAdding It Up

Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction.


Early Algebraization

Early Algebraization
  • Author : Jinfa Cai,Eric Knuth
  • Publisher : Springer Science & Business Media
  • Release : 24 February 2011
GET THIS BOOKEarly Algebraization

In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.


Teaching Students to Communicate Mathematically

Teaching Students to Communicate Mathematically
  • Author : Laney Sammons
  • Publisher : ASCD
  • Release : 04 April 2018
GET THIS BOOKTeaching Students to Communicate Mathematically

Students learning math are expected to do more than just solve problems; they must also be able to demonstrate their thinking and share their ideas, both orally and in writing. As many classroom teachers have discovered, these can be challenging tasks for students. The good news is, mathematical communication can be taught and mastered. In Teaching Students to Communicate Mathematically, Laney Sammons provides practical assistance for K–8 classroom teachers. Drawing on her vast knowledge and experience as a classroom teacher,



Evolutionary Origins and Early Development of Number Processing

Evolutionary Origins and Early Development of Number Processing
  • Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
  • Publisher : Academic Press
  • Release : 04 November 2014
GET THIS BOOKEvolutionary Origins and Early Development of Number Processing

The first volume in this ground-breaking series focuses on the origins and early development of numerical cognition in non-human primates, lower vertebrates, human infants, and preschool children. The text will help readers understand the nature and complexity of these foundational quantitative concepts and skills along with evolutionary precursors and early developmental trajectories. Brings together and focuses the efforts and research of multiple disciplines working in math cognition. The contributors bring vast knowledge and experience to bear on resolving extant substantive


How Students Learn

How Students Learn
  • Author : National Research Council,Division of Behavioral and Social Sciences and Education,Committee on How People Learn: A Targeted Report for Teachers
  • Publisher : National Academies Press
  • Release : 28 January 2005
GET THIS BOOKHow Students Learn

How Students Learn: Science in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in science at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting


Learning to Love Math

Learning to Love Math
  • Author : Judy Willis
  • Publisher : ASCD
  • Release : 09 September 2010
GET THIS BOOKLearning to Love Math

Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her


Advanced Mathematical Methods for Scientists and Engineers I

Advanced Mathematical Methods for Scientists and Engineers I
  • Author : Carl M. Bender,Steven A. Orszag
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
GET THIS BOOKAdvanced Mathematical Methods for Scientists and Engineers I

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local


Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release : 11 June 2018
GET THIS BOOKMathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry,


Concept-Based Mathematics

Concept-Based Mathematics
  • Author : Jennifer T.H. Wathall
  • Publisher : Corwin Press
  • Release : 14 January 2016
GET THIS BOOKConcept-Based Mathematics

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you help students discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way to help students achieve higher-order thinking skills.