Conditions Beyond Teaching That Affect Learning Mathematics PDF Download

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Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
Author: Jennifer M. Bay-Williams
Publisher: Corwin
Total Pages: 265
Release: 2021-03-02
Genre: Education
ISBN: 1071818430

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.


The Science of Learning and Development

The Science of Learning and Development
Author: Pamela Cantor
Publisher: Routledge
Total Pages: 245
Release: 2021-06-21
Genre: Education
ISBN: 100039977X

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This essential text unpacks major transformations in the study of learning and human development and provides evidence for how science can inform innovation in the design of settings, policies, practice, and research to enhance the life path, opportunity and prosperity of every child. The ideas presented provide researchers and educators with a rationale for focusing on the specific pathways and developmental patterns that may lead a specific child, with a specific family, school, and community, to prosper in school and in life. Expanding key published articles and expert commentary, the book explores a profound evolution in thinking that integrates findings from psychology with biology through sociology, education, law, and history with an emphasis on institutionalized inequities and disparate outcomes and how to address them. It points toward possible solutions through an understanding of and addressing the dynamic relations between a child and the contexts within which he or she lives, offering all researchers of human development and education a new way to understand and promote healthy development and learning for diverse, specific youth regardless of race, socioeconomic status, or history of adversity, challenge, or trauma. The book brings together scholars and practitioners from the biological/medical sciences, the social and behavioral sciences, educational science, and fields of law and social and educational policy. It provides an invaluable and unique resource for understanding the bases and status of the new science, and presents a roadmap for progress that will frame progress for at least the next decade and perhaps beyond.


Helping Children Learn Mathematics

Helping Children Learn Mathematics
Author: National Research Council
Publisher: National Academies Press
Total Pages: 53
Release: 2002-07-31
Genre: Education
ISBN: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.


Setting the Standard for Project Based Learning

Setting the Standard for Project Based Learning
Author: John Larmer
Publisher: ASCD
Total Pages: 258
Release: 2015-05-26
Genre: Education
ISBN: 1416620907

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This book take readers through the step-by-step process of how to create, implement, and assess project based learning (PBL) using a classroom-tested framework. Also included are chapters for school leaders on implementing PBL system wide and the use of PBL in informal settings.


Broadening the Scope of Research on Mathematical Problem Solving

Broadening the Scope of Research on Mathematical Problem Solving
Author: Nélia Amado
Publisher: Springer
Total Pages: 579
Release: 2018-11-30
Genre: Education
ISBN: 3319998617

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The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.


Challenging Mathematics In and Beyond the Classroom

Challenging Mathematics In and Beyond the Classroom
Author: Edward J. Barbeau
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2009-04-21
Genre: Education
ISBN: 0387096035

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In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.


Beyond the Apparent Banality of the Mathematics Classroom

Beyond the Apparent Banality of the Mathematics Classroom
Author: Colette Laborde
Publisher: Springer Science & Business Media
Total Pages: 329
Release: 2007-03-11
Genre: Education
ISBN: 0387304517

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New research in mathematics education deals with the complexity of the mathematics’ classroom. The classroom teaching situation constitutes a pertinent unit of analysis for research into the ternary didactic relationship which binds teachers, students and mathematical knowledge. The classroom is considered as a complex didactic system, which offers the researcher an opportunity to gauge the boundaries of the freedom that is left with regard to choices about the knowledge to be taught and the ways of organizing the students’ learning, while giveing rise to the study of interrelations between three main elements of the teaching process the: mathematical content to be taught and learned, management of the various time dimensions, and activity of the teacher who prepares and manages the class, to the benefit of the students' knowledge and the teachers' own experience. This volume, reprinted from Educational Studies in Mathematics, Volume 59, focuses on classroom situations as a unit of analysis, the work of the teacher, and is strongly anchored in original theoretical frameworks. The contributions are formulated from the perspective of one or more theoretical frameworks but they are tackled by means of empirical investigations.


Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood
Author: National Research Council
Publisher: National Academies Press
Total Pages: 399
Release: 2009-11-13
Genre: Education
ISBN: 0309147433

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Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.


How People Learn

How People Learn
Author: National Research Council
Publisher: National Academies Press
Total Pages: 386
Release: 2000-08-11
Genre: Education
ISBN: 0309131979

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First released in the Spring of 1999, How People Learn has been expanded to show how the theories and insights from the original book can translate into actions and practice, now making a real connection between classroom activities and learning behavior. This edition includes far-reaching suggestions for research that could increase the impact that classroom teaching has on actual learning. Like the original edition, this book offers exciting new research about the mind and the brain that provides answers to a number of compelling questions. When do infants begin to learn? How do experts learn and how is this different from non-experts? What can teachers and schools do-with curricula, classroom settings, and teaching methodsâ€"to help children learn most effectively? New evidence from many branches of science has significantly added to our understanding of what it means to know, from the neural processes that occur during learning to the influence of culture on what people see and absorb. How People Learn examines these findings and their implications for what we teach, how we teach it, and how we assess what our children learn. The book uses exemplary teaching to illustrate how approaches based on what we now know result in in-depth learning. This new knowledge calls into question concepts and practices firmly entrenched in our current education system. Topics include: How learning actually changes the physical structure of the brain. How existing knowledge affects what people notice and how they learn. What the thought processes of experts tell us about how to teach. The amazing learning potential of infants. The relationship of classroom learning and everyday settings of community and workplace. Learning needs and opportunities for teachers. A realistic look at the role of technology in education.