Investigating Mathematics Teaching

Investigating Mathematics Teaching PDF Author: Barbara Jaworski
Publisher: Routledge
ISBN: 1135716110
Category : Education
Languages : en
Pages : 254

Get Book Here

Book Description
Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.

Investigating Mathematics Teaching

Investigating Mathematics Teaching PDF Author: Barbara Jaworski
Publisher: Routledge
ISBN: 1135716110
Category : Education
Languages : en
Pages : 254

Get Book Here

Book Description
Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.

Investigations

Investigations PDF Author: Stuart A. Kauffman
Publisher: Oxford University Press
ISBN: 0190283858
Category : Science
Languages : en
Pages : 469

Get Book Here

Book Description
"It may be that I have stumbled upon an adequate description of life itself." These modest yet profound words trumpet an imminent paradigm shift in scientific, economic, and technological thinking. In the tradition of Schrödinger's classic What Is Life?, Kauffman's Investigations is a tour-de-force exploration of the very essence of life itself, with conclusions that radically undermine the scientific approaches on which modern science rests--the approaches of Newton, Boltzman, Bohr, and Einstein. Building on his pivotal ideas about order and evolution in complex life systems, Kauffman finds that classical science does not take into account that physical systems--such as people in a biosphere--effect their dynamic environments in addition to being affected by them. These systems act on their own behalf as autonomous agents, but what defines them as such? In other words, what is life? Kauffman supplies a novel answer that goes beyond traditional scientific thinking by defining and explaining autonomous agents and work in the contexts of thermodynamics and of information theory. Much of Investigations unpacks the progressively surprising implications of his definition. Significantly, he sets the stages for a technological revolution in the coming decades. Scientists and engineers may soon seek to create autonomous agents--both organic and mechanical--that can not only construct things and work, but also reproduce themselves! Kauffman also lays out a foundation for a new concept of organization, and explores the requirements for the emergence of a general biology that will transcend terrestrial biology to seek laws governing biospheres anywhere in the cosmos. Moreover, he presents four candidate laws to explain how autonomous agents co-create their biosphere and the startling idea of a "co-creating" cosmos. A showcase of Kauffman's most fundamental and significant ideas, Investigations presents a new way of thinking about the fundamentals of general biology that will change the way we understand life itself--on this planet and anywhere else in the cosmos.

The Impact of Identity in K-8 Mathematics Learning and Teaching

The Impact of Identity in K-8 Mathematics Learning and Teaching PDF Author: Julia Aguirre
Publisher:
ISBN: 9780873536899
Category : Educational equalization
Languages : en
Pages : 126

Get Book Here

Book Description
Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions

Ways to Think About Mathematics

Ways to Think About Mathematics PDF Author: Steve Benson
Publisher: Corwin Press
ISBN: 9780761931058
Category : Education
Languages : en
Pages : 266

Get Book Here

Book Description
Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.

The Effective Teaching of Mathematics

The Effective Teaching of Mathematics PDF Author: Malcolm Simmons
Publisher: Routledge
ISBN: 1317901703
Category : Education
Languages : en
Pages : 192

Get Book Here

Book Description
First published in 1993. This series has been written for trainee teachers wishing to improve their teaching skills as well as for in-service teachers, especially those engaged in the supervision of trainees. The book provides an overview of mathematics teaching at secondary level and links established mathematics content to recent curriculum developments in mathematics teaching in England and Wales and in Scotland. The main purpose of the book is to instigate and complement good mathematics teaching practice in our classrooms.

Making Sense of Mathematics Teacher Education

Making Sense of Mathematics Teacher Education PDF Author: Fou-Lai Lin
Publisher: Springer Science & Business Media
ISBN: 9401008280
Category : Education
Languages : en
Pages : 330

Get Book Here

Book Description
This is a research-based book that deals with a broad range of issues about mathematics teacher education. It examines teacher education programs from different societies and cultures as it develops an international perspective on mathematics teacher education. Practical situations that are associated with related theories are studied critically. It is intended for teacher educators, mathematics educators, graduate students in mathematics education, and mathematics teachers.

Mathematics Teaching in the Early Years

Mathematics Teaching in the Early Years PDF Author: Carol Aubrey
Publisher: Psychology Press
ISBN: 9780750705974
Category : Education
Languages : en
Pages : 228

Get Book Here

Book Description
Young children start school already able to do a surprising amount of mathematics. This book examines the nature and origin of subject knowledge and is based on information gathered from observing the interactions between teachers and their first-year pupils. It demonstrates the necessity of the classroom teacher to draw on many kinds of knowledge in order to deal with various issues surrounding classroom learning and teaching. Two important core areas are knowledge of lesson structure and of subject matter; this book address the area of subject matter and, as such, it should be of interest to classroom teachers and lecturers in education.

Teaching, Multimedia, and Mathematics

Teaching, Multimedia, and Mathematics PDF Author: Magdalene Lampert
Publisher:
ISBN: 9780807737576
Category : Mathematics
Languages : en
Pages : 244

Get Book Here

Book Description
New from the Practitioner Inquiry Series, this volume covers every aspect of how a teacher learns to be a teacher. The authors, two veteran teacher researchers, develop an approach to teaching and teacher education that is rooted in the study of practice. Lampert and Ball use video, audio, and text tools to capture information about what occurred in their two mathematics education classrooms during one school year.The text features: close examination of the daily interplay between teacher, student, and subject content; videos of lessons, children's work, and teachers' daily plans that can be used as the curriculum for teacher education in a technology-supported environment; the authors' extensive experience in engaging prospective teachers in the "messy work" of making sense of teaching and learning. This groundbreaking volume is also distinctive for situating teacher learning about subject matter within teacher learning about other elements of practice, such as equity, assessment, and collaborative work. The book concludes with an essay by historian and policy analyst David Cohen, where he analyzes this work and the efforts to bring experience with "real" teaching into teacher preparation.

Second Handbook of Research on Mathematics Teaching and Learning

Second Handbook of Research on Mathematics Teaching and Learning PDF Author: Frank K. Lester
Publisher: Information Age Publishing
ISBN:
Category : Education
Languages : en
Pages : 734

Get Book Here

Book Description
An update to the original 1992 publication, this two-volume set unites current research to provide new conceptualizations of research problems, and to suggest possible research programs to move the field forward. In studying the existing research, the authors found that the community has maintained its focus on problems of learning, teaching, teacher education, assessment, technology, and social and cultural aspects of mathematics education, while some new areas of interest have emerged or been expanded. This set allows educators to step back and look at each of these areas to see where mathematics education research has been and where it should be going to enable the field to answer the questions about education that practitioners, policy makers, and politicians are asking.

Mindset Mathematics

Mindset Mathematics PDF Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1119358809
Category : Education
Languages : en
Pages : 288

Get Book Here

Book Description
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.