For The Teaching Of Mathematics Volume 3

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Teaching Student-Centered Mathematics Pearson Etext Access Code

Author : John a. Van De Walle
Publisher : Pearson
ISBN 13 : 9780134556390
Total Pages : 9998 pages
Book Rating : 4.5/5 (563 download)

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Book Synopsis Teaching Student-Centered Mathematics Pearson Etext Access Code by : John a. Van De Walle

Download or read book Teaching Student-Centered Mathematics Pearson Etext Access Code written by John a. Van De Walle and published by Pearson. This book was released on 2017-01-28 with total page 9998 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOTE: Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. This access code card provides access to the Enhanced Pearson eText. Helping students make connections between mathematics and their worlds-and helping them feel empowered to use math in their lives-is the focus of this widely popular guide. Designed for classroom teachers, the book focuses on specific grade bands and includes information on creating an effective classroom environment, aligning teaching to various standards and practices, such as the Common Core State Standards and NCTM's teaching practices, and engaging families. The first portion of the book addresses how to build a student-centered environment in which children can become mathematically proficient, while the second portion focuses on practical ways to teach important concepts in a student-centered fashion. The new edition features a corresponding Enhanced Pearson eText version with links to embedded videos, blackline masters, downloadable teacher resource and activity pages, lesson plans, activities correlated to the CCSS, and tables of common errors and misconceptions. Invigorate learning with the Enhanced Pearson eText This access code card provides access to the new Enhanced Pearson eText, a rich, interactive learning environment designed to improve student mastery of content with the following multimedia features: NEW! Embedded videos. The Enhanced Pearson eText now includes links to videos throughout the text that provide examples of students' misconceptions, expand on key concepts, and demonstrate how to implement strategies and techniques in real classrooms. NEW! Downloadable Teacher Resource and Activity Pages that support teaching activities such as formative assessment and team-building are now available in the Enhanced Pearson eText at the point of use. NEW! Downloadable Blackline Masters in Part 2 Chapters. Readers may download Blackline Masters that support the activities and Expanded Lessons by clicking on hyperlinks embedded in the Enhanced Pearson eText. Appendix E includes a list of the Blackline Masters and a thumbnail version of each. *The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7" or 10" tablet, or iPad iOS 5.0 or later.

Teaching Student-Centered Mathematics

Author : John A. Van de Walle
Publisher : Teaching Student-Centered Math
ISBN 13 : 9780134090689
Total Pages : 421 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Teaching Student-Centered Mathematics by : John A. Van de Walle

Download or read book Teaching Student-Centered Mathematics written by John A. Van de Walle and published by Teaching Student-Centered Math. This book was released on 2017-01-20 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOTE: Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. For courses in Elementary Mathematics Methods and for classroom teachers. This package includes the Enhanced Pearson eText and the print bound version. A practical, comprehensive, student-centered approach to effective mathematical instruction for grades Pre-K-2. Helping students make connections between mathematics and their worlds--and helping them feel empowered to use math in their lives--is the focus of this widely popular guide. Designed for classroom teachers, the book focuses on specific grade bands and includes information on creating an effective classroom environment, aligning teaching to various standards and practices, such as the Common Core State Standards and NCTM''s teaching practices, and engaging families. The first portion of the book addresses how to build a student-centered environment in which children can become mathematically proficient, while the second portion focuses on practical ways to teach important concepts in a student-centered fashion. The new edition features a corresponding Enhanced Pearson eText version with links to embedded videos, blackline masters, downloadable teacher resource and activity pages, lesson plans, activities correlated to the CCSS, and tables of common errors and misconceptions. This book is part of the Student-Centered Mathematics Series, which is designed with three objectives: to illustrate what it means to teach student-centered, problem-based mathematics, to serve as a reference for the mathematics content and research-based instructional strategies suggested for the specific grade levels, and to present a large collection of high quality tasks and activities that can engage students in the mathematics that is important for them to learn. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad� and Android� tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book. *The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7" or 10" tablet, or iPad iOS 5.0 or later. 0134090683 / 9780134090689 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2 (Volume I), with Enhanced Pearson eText Package consists of: 0134556437 / 9780134556437 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2 (Volume I) 0134556453 / 9780134556451 Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades Pre-K-2 (Volume I), Enhanced Pearson eText -- Access Card

Teaching Student-Centered Mathematics Pearson Etext Access Code

Author : John a. Van De Walle
Publisher : Pearson
ISBN 13 : 9780134556406
Total Pages : 421 pages
Book Rating : 4.5/5 (564 download)

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Book Synopsis Teaching Student-Centered Mathematics Pearson Etext Access Code by : John a. Van De Walle

Download or read book Teaching Student-Centered Mathematics Pearson Etext Access Code written by John a. Van De Walle and published by Pearson. This book was released on 2017-01-28 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOTE: Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. This access code card provides access to the Enhanced Pearson eText. Helping students make connections between mathematics and their worlds-and helping them feel empowered to use math in their lives-is the focus of this widely popular guide. Designed for classroom teachers, the book focuses on specific grade bands and includes information on creating an effective classroom environment, aligning teaching to various standards and practices, such as the Common Core State Standards and NCTM's teaching practices, and engaging families. The first portion of the book addresses how to build a student-centered environment in which children can become mathematically proficient, while the second portion focuses on practical ways to teach important concepts in a student-centered fashion. The new edition features a corresponding Enhanced Pearson eText version with links to embedded videos, blackline masters, downloadable teacher resource and activity pages, lesson plans, activities correlated to the CCSS, and tables of common errors and misconceptions. Improve mastery and retention with the Enhanced Pearson eText This access code card provides access to the new Enhanced Pearson eText, a rich, interactive learning environment designed to improve student mastery of content with the following multimedia features: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad(R) and Android(R) tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book. *The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7- or 10- tablet, or iPad iOS 5.0 or later.

Knowing and Teaching Elementary Mathematics

Author : Liping Ma
Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 290 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Teaching Student-Centered Mathematics

Author : John A. Van de Walle
Publisher : Pearson College Division
ISBN 13 : 9780137149612
Total Pages : 378 pages
Book Rating : 4.1/5 (496 download)

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Book Synopsis Teaching Student-Centered Mathematics by : John A. Van de Walle

Download or read book Teaching Student-Centered Mathematics written by John A. Van de Walle and published by Pearson College Division. This book was released on 2008-04-09 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deepen your mathematics understanding with access to professional development workshops with legendary mathematician John Van de Walle. Based on the best-selling series for grades K-8, The Van de Walle Professional Mathematics Series, educators now have access to the student-centered, problem-based approach to mathematics on video with the Teaching Student-Centered Mathematics eBook Series. Each of the three grade band eBook DVDs, K-3, 3-5 and 5-8, feature grade specific lessons in action, personal interviews with the author, instructional tips and strategies, and more. What makes the eBook so unique? From the Van de Walle Professional Mathematics Series Hear legendary mathematician, John Van de Walle speak about the Big Ideas in each chapter through a series of personal interviews. See excerpts from Van de Walle's professional development workshops without leaving the comfort of your home or school. Observe lessons in action through video of classrooms. Explore tips and activities you can use in your classroom. The eBook is available for purchase in the following package configurations: Single License Package (e-Book DVD & Book): Users with a DVD computer drive can take advantage of the larger video windows available in this single-user, single-disc package. School Network License Package (e-Book DVD & Book): This version will give all teachers within a single school access to this rich professional-development tool. Once installed, the school network version allows for multiple access and progressive downloading across a Local Area Network (LAN).* District Network License Package (e-Book DVD & Book): This package is the most economical way for a district or school board to purchase for multiple schools. This network-installable version allows for multiple access and progressive downloading across a LAN or high-speed Wide Area Network. *For order information, including pricing, please contact your local sales representative.

Teaching Mathematics

Author : Max A. Sobel
Publisher : Allyn & Bacon
ISBN 13 : 9780205292561
Total Pages : 0 pages
Book Rating : 4.2/5 (925 download)

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Book Synopsis Teaching Mathematics by : Max A. Sobel

Download or read book Teaching Mathematics written by Max A. Sobel and published by Allyn & Bacon. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.

Making Sense of Mathematics for Teaching High School

Author : Edward C. Nolan
Publisher : Solution Tree Press
ISBN 13 : 1942496494
Total Pages : 231 pages
Book Rating : 4.9/5 (424 download)

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Book Synopsis Making Sense of Mathematics for Teaching High School by : Edward C. Nolan

Download or read book Making Sense of Mathematics for Teaching High School written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-05-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

For the Teaching of Mathematics Volume 3

Author : Gattegno
Publisher :
ISBN 13 : 9780878253371
Total Pages : pages
Book Rating : 4.2/5 (533 download)

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Book Synopsis For the Teaching of Mathematics Volume 3 by : Gattegno

Download or read book For the Teaching of Mathematics Volume 3 written by Gattegno and published by . This book was released on 2011-01-21 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Mathematics at Secondary Level

Author : Tony Gardiner
Publisher : Open Book Publishers
ISBN 13 : 1783741406
Total Pages : 248 pages
Book Rating : 4.7/5 (837 download)

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Book Synopsis Teaching Mathematics at Secondary Level by : Tony Gardiner

Download or read book Teaching Mathematics at Secondary Level written by Tony Gardiner and published by Open Book Publishers. This book was released on 2016-02-08 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

Visible Learning for Mathematics, Grades K-12

Author : John Hattie
Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

For the Teaching of Mathematics

Author : Caleb Gattegno
Publisher :
ISBN 13 : 9780878250318
Total Pages : pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis For the Teaching of Mathematics by : Caleb Gattegno

Download or read book For the Teaching of Mathematics written by Caleb Gattegno and published by . This book was released on 2009-07-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Steps in Infant Mathematics Book 3

Author : Walter Phillips
Publisher : Wakefield Press
ISBN 13 : 9780748715565
Total Pages : 116 pages
Book Rating : 4.7/5 (155 download)

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Book Synopsis Steps in Infant Mathematics Book 3 by : Walter Phillips

Download or read book Steps in Infant Mathematics Book 3 written by Walter Phillips and published by Wakefield Press. This book was released on 1992 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces basis concepts of Infant Maths as required throughout the Caribbean

The 'Resource' Approach to Mathematics Education

Author : Luc Trouche
Publisher : Springer Nature
ISBN 13 : 303020393X
Total Pages : 564 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis The 'Resource' Approach to Mathematics Education by : Luc Trouche

Download or read book The 'Resource' Approach to Mathematics Education written by Luc Trouche and published by Springer Nature. This book was released on 2019-11-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.

Mathematics for Equity

Author : Na’ilah Suad Nasir
Publisher : Teachers College Press
ISBN 13 : 0807773069
Total Pages : 289 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Mathematics for Equity by : Na’ilah Suad Nasir

Download or read book Mathematics for Equity written by Na’ilah Suad Nasir and published by Teachers College Press. This book was released on 2014-12-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, nationally renowned scholars join classroom teachers to share equity-oriented approaches that have been successful with urban high school mathematics students. Compiling for the first time major research findings and practitioner experiences from Railside High School, the volume describes the evolution of a fundamentally different conception of learners and teaching. The chapters bring together research and reflection on teacher collaboration and professional community, student outcomes and mathematics classroom culture, reform curricula and pedagogy, and ongoing teacher development. Mathematics for Equity will be invaluable reading for teachers, schools, and districts interested in maintaining a focus on equity and improving student learning while making sense of the new demands of the Common Core State Standards. Book Features: Core principles of an equity-centered mathematics program. Examples of how to focus and organize the collaborative work of a math department to develop a shared pedagogy. Student experiences with an equity pedagogy that focuses on building perseverance, flexibility in thinking, and deep conceptual understanding. Connections between reconceptualizing learners and teaching, and achieving deep mathematics learning and equitable outcomes. Contributors include: Jo Boaler, Ilana Seidel Horn, Judith Warren Little, and Rachel Lotan. “Mathematics for Equity provides a kaleidoscopic view, in the voices of teachers, researchers, and students themselves, of one of the nation’s most ambitious and successful attempts at teaching mathematics for equity. It shows what it takes to create a climate that supports students and teachers in engaging in meaningful mathematical activity—and, alas, how vulnerable such environments are to the wrong kinds of ‘accountability.’ Read it and learn.” —Alan H. Schoenfeld, University of California at Berkeley “Want to fix what's wrong with mathematics instruction in your school? Read this book with your colleagues and do what it inspires you to do. Written by the brave teachers and former students who did it, as well as researchers.” —Phil Daro, writing team, Common Core Standards, Strategic Education Research Partnership

Teaching and Learning Mathematics Online

Author : James P. Howard, II
Publisher : CRC Press
ISBN 13 : 1351245562
Total Pages : 347 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Teaching and Learning Mathematics Online by : James P. Howard, II

Download or read book Teaching and Learning Mathematics Online written by James P. Howard, II and published by CRC Press. This book was released on 2020-05-10 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Research on Teaching and Learning Mathematics at the Tertiary Level

Author : Irene Biza
Publisher : Springer
ISBN 13 : 3319418149
Total Pages : 39 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Research on Teaching and Learning Mathematics at the Tertiary Level by : Irene Biza

Download or read book Research on Teaching and Learning Mathematics at the Tertiary Level written by Irene Biza and published by Springer. This book was released on 2016-07-01 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.

The World of Mathematics

Author : James Roy Newman
Publisher : Courier Corporation
ISBN 13 : 9780486411507
Total Pages : 728 pages
Book Rating : 4.4/5 (115 download)

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Book Synopsis The World of Mathematics by : James Roy Newman

Download or read book The World of Mathematics written by James Roy Newman and published by Courier Corporation. This book was released on 2000-01-01 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by eminent mathematicians, economists, scientists, and others.