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Professor Zach’s K-5 Math Curriculum

Professor Zach’s K-5 Math Curriculum PDF Author: Zachariya Trichas
Publisher: iUniverse
ISBN: 1532058357
Category : Education
Languages : en
Pages : 138

Book Description
In this book, Zach teaches a plethora of mathematical topics, including addition, subtraction, multiplication, division, fractions, decimals, percentages, profit/loss questions, units of measurement, algebra, geometry, and graphing.

Professor Zach’s K-5 Math Curriculum

Professor Zach’s K-5 Math Curriculum PDF Author: Zachariya Trichas
Publisher: iUniverse
ISBN: 1532058357
Category : Education
Languages : en
Pages : 138

Book Description
In this book, Zach teaches a plethora of mathematical topics, including addition, subtraction, multiplication, division, fractions, decimals, percentages, profit/loss questions, units of measurement, algebra, geometry, and graphing.

Five Practices for Orchestrating Productive Mathematics Discussions

Five Practices for Orchestrating Productive Mathematics Discussions PDF Author: Margaret Schwan Smith
Publisher:
ISBN: 9781483351117
Category : Communication in mathematics
Languages : en
Pages : 104

Book Description
Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

The Last Lecture

The Last Lecture PDF Author: Randy Pausch
Publisher:
ISBN: 9780340978504
Category : Cancer
Languages : en
Pages : 0

Book Description
The author, a computer science professor diagnosed with terminal cancer, explores his life, the lessons that he has learned, how he has worked to achieve his childhood dreams, and the effect of his diagnosis on him and his family.

International Approaches to Professional Development for Mathematics Teachers

International Approaches to Professional Development for Mathematics Teachers PDF Author: Nadine Bednarz
Publisher: University of Ottawa Press
ISBN: 0776619578
Category : Education
Languages : en
Pages : 281

Book Description
Schools everywhere are being confronted with evolving learning and teaching paradigms that call into question a number of traditional math teaching techniques. These changes demand serious reflection on how to support frontline educators in developing their teaching skills. Alternative approaches to professional development have been established worldwide that support teacher education and contribute to professional development that is informed by practice, created for practice and refined in practice. This volume provides a rich portrait of these emergent strategies in the professional development of math teachers, bridging the divide between theory and practice. Written by researchers around the world, the contributions examine innovative approaches to the professional development of math teachers in different countries. Many of these approaches take into account the practitioner’s point of view and are fundamentally rooted in the context of the classroom.

An Introduction to Proof Theory

An Introduction to Proof Theory PDF Author: Paolo Mancosu
Publisher: Oxford University Press
ISBN: 0192649299
Category : Philosophy
Languages : en
Pages : 336

Book Description
An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

60 Must-Have Graphic Organizers, Grades K - 5

60 Must-Have Graphic Organizers, Grades K - 5 PDF Author: Ginger Baggette
Publisher: Carson-Dellosa Publishing
ISBN: 160996473X
Category : Juvenile Nonfiction
Languages : en
Pages : 130

Book Description
Graphic organizers are tried-and-true, effective teaching tools. The blank organizers in 60 Must-Have Graphic Organizers are ready to go: teachers of grades KÐ5 need to supply only the topics. Students can use these reproducible organizers to practice pre-writing skills, identify story elements, collect and sort information, organize schedules, and solve problems. This 128-page book is packed with teacher-generated ideas for multiple subject-area uses that can be adapted for students of varied ages, abilities, and learning styles, as well as for individual and whole-class needs.

Limitless Mind

Limitless Mind PDF Author: Jo Boaler
Publisher: HarperCollins
ISBN: 0062851772
Category : Psychology
Languages : en
Pages : 256

Book Description
“Boaler is one of those rare and remarkable educators who not only know the secret of great teaching but also know how to give that gift to others.” — CAROL DWECK, author of Mindset “Jo Boaler is one of the most creative and innovative educators today. Limitless Mind marries cutting-edge brain science with her experience in the classroom, not only proving that each of us has limitless potential but offering strategies for how we can achieve it.” — LAURENE POWELL JOBS “A courageous freethinker with fresh ideas on learning.” — BOOKLIST In this revolutionary book, a professor of education at Stanford University and acclaimed math educator who has spent decades studying the impact of beliefs and bias on education, reveals the six keys to unlocking learning potential, based on the latest scientific findings. From the moment we enter school as children, we are made to feel as if our brains are fixed entities, capable of learning certain things and not others, influenced exclusively by genetics. This notion follows us into adulthood, where we tend to simply accept these established beliefs about our skillsets (i.e. that we don’t have “a math brain” or that we aren’t “the creative type”). These damaging—and as new science has revealed, false—assumptions have influenced all of us at some time, affecting our confidence and willingness to try new things and limiting our choices, and, ultimately, our futures. Stanford University professor, bestselling author, and acclaimed educator Jo Boaler has spent decades studying the impact of beliefs and bias on education. In Limitless Mind, she explodes these myths and reveals the six keys to unlocking our boundless learning potential. Her research proves that those who achieve at the highest levels do not do so because of a genetic inclination toward any one skill but because of the keys that she reveals in the book. Our brains are not “fixed,” but entirely capable of change, growth, adaptability, and rewiring. Want to be fluent in mathematics? Learn a foreign language? Play the guitar? Write a book? The truth is not only that anyone at any age can learn anything, but the act of learning itself fundamentally changes who we are, and as Boaler argues so elegantly in the pages of this book, what we go on to achieve.

A Decade of the Berkeley Math Circle

A Decade of the Berkeley Math Circle PDF Author: Zvezdelina Stankova
Publisher: American Mathematical Soc.
ISBN: 0821846833
Category : Mathematics
Languages : en
Pages : 346

Book Description
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Resources in Education

Resources in Education PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 336

Book Description


Third International Handbook of Mathematics Education

Third International Handbook of Mathematics Education PDF Author: M.A. (Ken) Clements
Publisher: Springer Science & Business Media
ISBN: 1461446848
Category : Mathematics
Languages : en
Pages : 1119

Book Description
The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​