Preservice Elementary Teachers' Mathematical Content Knowledge of Prerequisite Algebra Concepts

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Publisher :
ISBN 13 : 9781109929515
Total Pages : 161 pages
Book Rating : 4.9/5 (295 download)

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Book Synopsis Preservice Elementary Teachers' Mathematical Content Knowledge of Prerequisite Algebra Concepts by : Rachael Mae Welder

Download or read book Preservice Elementary Teachers' Mathematical Content Knowledge of Prerequisite Algebra Concepts written by Rachael Mae Welder and published by . This book was released on 2007 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of an undergraduate mathematics content course for elementary education students on preservice teachers' common and specialized content knowledge of prerequisite algebra concepts was investigated, using a pre-experimental one-group pretest-posttest design. A quantitative, 51-item, multiple-choice instrument, developed specifically to measure both types of content knowledge with respect to prerequisite algebra concepts, was constructed from the Learning Mathematics for Teaching Project's Content Knowledge for Teaching Mathematics Measures question bank. This instrument was administered to all students enrolled in Mathematics for Elementary Teachers I (n = 48), at Montana State University, during the fall semester of 2006.

Uncomplicating Algebra to Meet Common Core Standards in Math, K-8

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Publisher : Teachers College Press
ISBN 13 : 0807773093
Total Pages : 177 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Uncomplicating Algebra to Meet Common Core Standards in Math, K-8 by : Marian Small

Download or read book Uncomplicating Algebra to Meet Common Core Standards in Math, K-8 written by Marian Small and published by Teachers College Press. This book was released on 2014-12-04 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the second book in the Uncomplicating Mathematics Series, professional developer Marian Small shows teachers how to uncomplicate the teaching of algebra by focusing on the most important ideas that students need to grasp. Organized by grade level around the Common Core State Standards for Mathematics, Small shares approaches that will lead to a deeper and richer understanding of algebra for both teachers and students. The book opens with a clear discussion of algebraic thinking and current requirements for algebraic understanding within standards-based learning environments. The book then launches with Kindergarten, where the first relevant standard is found in the operations and algebraic thinking domain, and ends with Grade 8, where the focus is on working with linear equations and functions. In each section the relevant standard is presented, followed by a discussion of important underlying ideas associated with that standard, as well as thoughtful, concept-based questions that can be used for classroom instruction, practice, or assessment. Underlying ideas include: Background to the mathematics of each relevant standard. Suggestions for appropriate representations for specific mathematical ideas. Suggestions for explaining ideas to students. Cautions about misconceptions or situations to avoid. The Common Core State Standards for Mathematics challenges students to become mathematical thinkers, not just mathematical “doers.” This resource will be invaluable for pre- and inservice teachers as they prepare themselves to understand and teach algebra with a deep level of understanding. “Uncomplicating Algebra is an excellent resource for teachers responsible for the mathematical education of K–8 students. It is also a valuable tool for the training of preservice teachers of elementary and middle school mathematics.” —Carole Greenes, associate vice provost for STEM education, director of the Practice Research and Innovation in Mathematics Education (PRIME) Center, professor of mathematics education, Arizona State University “The current climate in North America places a major emphasis on standards, including the Common Core State Standards for Mathematics in the U.S. In many cases, teachers are being asked to teach content with which they themselves struggle. In this book, Dr. Small masterfully breaks down the big ideas of algebraic thinking to assist teachers, math coaches, and preservice teachers—helping them to deepen their own understanding of the mathematics they teach. She describes common error patterns and examines algebraic reasoning from a developmental viewpoint, connecting the dots from kindergarten through grade 8. The book is clearly written, loaded with specific examples, and very timely. I recommend it strongly as a ‘must-read’ for all who are seeking to broaden their understanding of algebra and how to effectively teach this important content area to children.” —Daniel J. Brahier, director, Science and Math Education in ACTION, professor of mathematics education, School of Teaching and Learning, Bowling Green State University

Mathematics Matters in Education

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Publisher : Springer
ISBN 13 : 3319614347
Total Pages : 298 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematics Matters in Education by : Yeping Li

Download or read book Mathematics Matters in Education written by Yeping Li and published by Springer. This book was released on 2017-10-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.

Standards for Preparing Teachers of Mathematics

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Publisher : IAP
ISBN 13 : 1641139986
Total Pages : 199 pages
Book Rating : 4.6/5 (411 download)

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Book Synopsis Standards for Preparing Teachers of Mathematics by : Association of Mathematics Teacher Educators (AMTE)

Download or read book Standards for Preparing Teachers of Mathematics written by Association of Mathematics Teacher Educators (AMTE) and published by IAP. This book was released on 2020-02-01 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Also available in a black + white version AMTE, in the Standards for Preparing Teachers of Mathematics (SPTM), puts forward a national vision of initial preparation for all Pre-K–12 teachers who teach mathematics. SPTM contains critical messages for all who teach mathematics, including elementary school teachers teaching all disciplines, middle and high school mathematics teachers who may teach mathematics exclusively, special education teachers, teachers of emergent multilingual students, and other teaching professionals and administrators who have responsibility for students’ mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated. SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform assessment practices for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning teacher of mathematics who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles. Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.

Mathematical Knowledge in Teaching

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Publisher : Springer Science & Business Media
ISBN 13 : 904819766X
Total Pages : 300 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Mathematical Knowledge in Teaching by : Tim Rowland

Download or read book Mathematical Knowledge in Teaching written by Tim Rowland and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Theory and Practice of Lesson Study in Mathematics

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Publisher : Springer
ISBN 13 : 3030040313
Total Pages : 856 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Theory and Practice of Lesson Study in Mathematics by : Rongjin Huang

Download or read book Theory and Practice of Lesson Study in Mathematics written by Rongjin Huang and published by Springer. This book was released on 2019-05-28 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together and builds on the current research efforts on adaptation, conceptualization, and theorization of Lesson Study (LS). It synthesizes and illustrates major perspectives for theorizing LS and enriches the conceptualization of LS by interpreting the activity as it is used in Japan and China from historical and cultural perspectives. Presenting the practices and theories of LS with practicing teachers and prospective teachers in more than 10 countries, it enables the reader to take a comparative perspective. Finally, the book presents and discusses studies on key aspects of LS such as lesson planning, post-lesson discussion, guiding theories, connection between research and practice, and upscaling. Lesson Study, which has originated in Asia as a powerful effective professional development model, has spread globally. Although the positive effects of lesson study on teacher learning, student learning, and curriculum reforms have been widely documented, conceptualization of and research on LS have just begun to emerge. This book, including 38 chapters contributed by 90 scholars from 21 countries, presents a truly international collaboration on research on and adaptation of LS, and significantly advances the development of knowledge about this process. Chapter 15: "How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons" of this book is available open access under a CC BY 4.0 license at link.springer.com Theory and Practice of Lesson Study in Mathematics: An International Perspective shows that the power of Lesson Study to transform the role of teachers in classroom research cannot be explained by a simple replication model. Here we see Lesson Study being successful internationally when its key principles and practices are taken seriously and are adapted to meet local issues and challenges. (Max Stephens, Senior research fellow at The University of Melbourne) It works. Instruction improves, learning improves. Wide scale? Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving instruction fail, or only succeed on small scale or evaporate as quickly as they show promise, it is time to understand how and why lesson study works. This volume brings the research on lesson study together from around the world. Here is what we already know and here is the way forward for research and practice informed by research. It is time to wake up and pay attention to what has worked so well, on wide scale for so long. (Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Impact Of A Badminton Course Designed Badminton Course For Common And Specialized Content Knowledge Of Pre-Service Teachers

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Publisher : Akademisyen Kitabevi
ISBN 13 : 6052583681
Total Pages : 21 pages
Book Rating : 4.0/5 (525 download)

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Book Synopsis Impact Of A Badminton Course Designed Badminton Course For Common And Specialized Content Knowledge Of Pre-Service Teachers by : Erhan DEVRİLMEZ

Download or read book Impact Of A Badminton Course Designed Badminton Course For Common And Specialized Content Knowledge Of Pre-Service Teachers written by Erhan DEVRİLMEZ and published by Akademisyen Kitabevi. This book was released on 2019-03-29 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn

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Publisher : Springer Science & Business Media
ISBN 13 : 9400764375
Total Pages : 581 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn by : Sigrid Blömeke

Download or read book International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn written by Sigrid Blömeke and published by Springer Science & Business Media. This book was released on 2013-09-09 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the Teacher Education and Development Study: Learning to Teach Mathematics, which tested 23,000 primary and secondary level math teachers from 16 countries on content knowledge and asked their opinions on beliefs and opportunities to learn.

Mastering Essential Math Skills Pre-algebra Concepts With Companion Dvd

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Publisher :
ISBN 13 : 9780984362929
Total Pages : 94 pages
Book Rating : 4.3/5 (629 download)

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Book Synopsis Mastering Essential Math Skills Pre-algebra Concepts With Companion Dvd by : Richard W. Fisher

Download or read book Mastering Essential Math Skills Pre-algebra Concepts With Companion Dvd written by Richard W. Fisher and published by . This book was released on 2010-05-15 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the new extra-sturdy, non-consumable Library Version with a companion DVD. This set is a must for students about to take Algebra I. It is also excellent for those struggling with algebra. Throughout the DVD, award-winning teacher, Richard W. Fisher carefully guides students through each and every topic necessary for success in algebra. His clear explanations and encouraging style quickly captivates student's interest and he makes learning these sophisticated topics fun and easy. After each of his carefully crafted DVD lessons, students are ready to complete the lessons in the book armed with full confidence. Even students who have struggled with math will find the DVD and book lessons fun and exciting. This is a must book/DVD set for every library.

Helping Children Learn Mathematics

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Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conceptual and Procedural Knowledge

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Publisher : Routledge
ISBN 13 : 1136559833
Total Pages : 357 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Conceptual and Procedural Knowledge by : James Hiebert

Download or read book Conceptual and Procedural Knowledge written by James Hiebert and published by Routledge. This book was released on 2013-08-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.

Teacher Knowledge and Practice in Middle Grades Mathematics

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Publisher : BRILL
ISBN 13 : 9087906188
Total Pages : 319 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis Teacher Knowledge and Practice in Middle Grades Mathematics by :

Download or read book Teacher Knowledge and Practice in Middle Grades Mathematics written by and published by BRILL. This book was released on 2008-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent collection of research studies on teacher knowledge and its relation to instruction and learning in middle-grades mathematics. The authors provide comprehensive literature reviews on specific components of mathematics knowledge for teaching that have been found to be important for effective instruction.

Professional Standards for Teaching Mathematics

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Publisher : National Council of Teachers of Mathematics
ISBN 13 : 9780873533072
Total Pages : 214 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Professional Standards for Teaching Mathematics by : National Council of Teachers of Mathematics. Commission on Teaching Standards for School Mathematics

Download or read book Professional Standards for Teaching Mathematics written by National Council of Teachers of Mathematics. Commission on Teaching Standards for School Mathematics and published by National Council of Teachers of Mathematics. This book was released on 1991 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authorized Teacher resource for Mathematics, K-12 in Alberta. 1991-2001.

Designing & Teaching Learning Goals & Objectives

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Publisher : Solution Tree Press
ISBN 13 : 1935542443
Total Pages : 220 pages
Book Rating : 4.9/5 (355 download)

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Book Synopsis Designing & Teaching Learning Goals & Objectives by : Robert J. Marzano

Download or read book Designing & Teaching Learning Goals & Objectives written by Robert J. Marzano and published by Solution Tree Press. This book was released on 2010-08-10 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design and teach effective learning goals and objectives by following strategies based on the strongest research available. This book includes a summary of key research behind these classroom practices and shows how to implement them using step-by-step hands-on strategies. Short quizzes help readers assess their understanding of the instructional best practices explained in each section.

Mathematical Analysis Fundamentals

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Publisher : Academic Press
ISBN 13 : 0128010509
Total Pages : 363 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Mathematical Analysis Fundamentals by : Agamirza Bashirov

Download or read book Mathematical Analysis Fundamentals written by Agamirza Bashirov and published by Academic Press. This book was released on 2014-03-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. - Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers - Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces - Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration - Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus

Developmental Mathematics

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Publisher : Pearson
ISBN 13 : 9780134707655
Total Pages : 1584 pages
Book Rating : 4.7/5 (76 download)

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Book Synopsis Developmental Mathematics by : Michael Sullivan, III

Download or read book Developmental Mathematics written by Michael Sullivan, III and published by Pearson. This book was released on 2018-01-03 with total page 1584 pages. Available in PDF, EPUB and Kindle. Book excerpt: For courses in Prealgebra and Beginning Algebra (combined courses). Helps students innovatively "Do the Math" Developmental Mathematics, 2nd Edition by Sullivan, Struve, and Mazzella utilizes the authors' hallmark engaging features to introduce students to the logic, precision and rigor of mathematics, while building a foundation for success in future math courses. Known for their unique examples that give students extra step-by-step support, the authors have maintained their successful learning aids, and in this revision focused on translating it to the MyLab(tm) Math course-resulting in a truly dynamic print and digital learning and teaching experience. To this end, the authors have created pre-built assignments for the accompanying MyLab Math course, making it easy for instructors to assign homework that utilizes all of the author-created learning features and leads to the best possible student outcomes. Developmental Mathematics offers market-leading content written by author-educators, tightly integrated with MyLab Math-the #1 choice in digital learning. Bringing the authors' voice and approach into the MyLab course gives students the motivation, engagement, and skill sets they need to master algebra. Also available with MyLab Math MyLab(tm) is the teaching and learning platform that empowers instructors to reach every student. By combining trusted authors' content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0134679342 / 9780134679341 Developmental Mathematics Plus MyLab Math with Pearson eText -- Access Card Package, 2/e Package consists of: 0134707656 / 9780134707655 Developmental Mathematics 0134896076 / 9780134896076 MyLab Math with Pearson eText - Life of Edition Standalone Access Card - for Developmental Mathematics