Download or read book MathScape Seeing and Thinking Mathematically Course 2 Making Mathematical Arguments Student Guide written by McGraw Hill and published by McGraw-Hill Education. This book was released on 2004-03-16 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making Mathematical Arguments, Student Guide
Download or read book MathScape Seeing and Thinking Mathematically Course 1 What Does the Data Say Student Guide written by McGraw Hill and published by McGraw-Hill Education. This book was released on 2004-03-11 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Does the Data Say?, Student Guide
Download or read book MathScape written by and published by McGraw-Hill/Glencoe. This book was released on 1998 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique comprehensive curriculum encourages students to learn mathematics by doing mathematics, by using and connecting mathematical ideas, and by actively increasing their understanding. "MathScape: Seeing and Thinking Mathematically" was developed by Education Development Center, Inc. with funding from the National Science Foundation. It is one of four middle school mathematics programs to receive a satisfactory rating from the American Association for the Advancement of Science (AAAS).
Download or read book The Nature and Role of Algebra in the K 14 Curriculum written by Center for Science, Mathematics, and Engineering Education and published by National Academies Press. This book was released on 1998-10-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.
Download or read book Connecting Mathematics and Mathematics Education written by Erich Christian Wittmann and published by Springer Nature. This book was released on 2020-12-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.
Download or read book On Evaluating Curricular Effectiveness written by National Research Council and published by National Academies Press. This book was released on 2004-11-12 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the evaluation research literature that has accumulated around 19 K-12 mathematics curricula and breaks new ground in framing an ambitious and rigorous approach to curriculum evaluation that has relevance beyond mathematics. The committee that produced this book consisted of mathematicians, mathematics educators, and methodologists who began with the following charge: Evaluate the quality of the evaluations of the thirteen National Science Foundation (NSF)-supported and six commercially generated mathematics curriculum materials; Determine whether the available data are sufficient for evaluating the efficacy of these materials, and if not; Develop recommendations about the design of a project that could result in the generation of more reliable and valid data for evaluating such materials. The committee collected, reviewed, and classified almost 700 studies, solicited expert testimony during two workshops, developed an evaluation framework, established dimensions/criteria for three methodologies (content analyses, comparative studies, and case studies), drew conclusions on the corpus of studies, and made recommendations for future research.
Download or read book Understanding Year 3 Maths written by Merle Green and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a structured and clear interpretation of the Australian mathematics curriculum, detailing what a child is required to know by the end of Year 3. It covers the syllabus topic by topic, explaining what is to be taught and how it is being taught in Australian classrooms. It is a comprehensive, well-presented and easy to understand book which provides an ideal reference for parents to consult when they wish to provide assistance in supporting the development of their child's mathematical understanding"--Understanding Maths website.
Download or read book Bridge to Algebra written by William S. Hadley and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathscape 9 written by Clive Meyers and published by Macmillan Education AU. This book was released on 2003 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathscape 9 is designed for use by students completing Stage 4 and students ready for Stage 5.1 who wish to complete Stage 5.2 Mathematics by the end of Year 10. It is part of a series of 6 exciting books that responds to the NSW Board of Studies Mathematics 7-10 syllabus.
Download or read book Improving Instruction in Rational Numbers and Proportionality written by Margaret Schwan Smith and published by Teachers College Press. This book was released on 2005-01-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Download or read book Improving Instruction in Geometry and Measurement written by Margaret Schwan Smith and published by Teachers College Press. This book was released on 2005-01-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
Download or read book Understanding Year 2 Maths written by Alan Horsfield and published by . This book was released on 2012 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a structured and clear interpretation of the Australian mathematics curriculum, detailing what a child is required to know by the end of Year 2. It covers the syllabus topic by topic, explaining what is to be taught and how it is being taught in Australian classrooms. It is a comprehensive, well-presented and easy to understand book which provides an ideal reference for parents to consult when they wish to provide assistance in supporting the development of their child's mathematical understanding"--Understanding Maths website.
Download or read book Artificial General Intelligence written by Ben Goertzel and published by Springer Science & Business Media. This book was released on 2007-01-17 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Only a small community has concentratedon general intelligence. No one has tried to make a thinking machine . . . The bottom line is that we really haven’t progressed too far toward a truly intelligent machine. We have collections of dumb specialists in small domains; the true majesty of general intelligence still awaits our attack. . . . We have got to get back to the deepest questions of AI and general intelligence. . . ” –MarvinMinsky as interviewed in Hal’s Legacy, edited by David Stork, 2000. Our goal in creating this edited volume has been to ?ll an apparent gap in the scienti?c literature, by providing a coherent presentation of a body of contemporary research that, in spite of its integral importance, has hitherto kept a very low pro?le within the scienti?c and intellectual community. This body of work has not been given a name before; in this book we christen it “Arti?cial General Intelligence” (AGI). What distinguishes AGI work from run-of-the-mill “arti?cial intelligence” research is that it is explicitly focused on engineering general intelligence in the short term. We have been active researchers in the AGI ?eld for many years, and it has been a pleasure to gather together papers from our colleagues working on related ideas from their own perspectives. In the Introduction we give a conceptual overview of the AGI ?eld, and also summarize and interrelate the key ideas of the papers in the subsequent chapters.
Download or read book Teaching Secondary and Middle School Mathematics written by Daniel J. Brahier and published by Routledge. This book was released on 2016-02-12 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles. The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction. Features include: A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development. Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters. A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process. A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers. Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas "How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions. With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.
Download or read book New Senior Mathematics Extension 2 for Year 12 written by Bob Aus and published by . This book was released on 2013-10-25 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: The New Senior Mathematics Extension 2 for Year 12 Student Worked Solutions contains fully worked solutions for every second question in the student book.
Download or read book Friendly Kids Friendly Classrooms written by Helen McGrath and published by . This book was released on 1991 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is the key to a happy classroom: help your students learn social skills that will help them to get along with their classmates ; create a positive and fun filled classroom where everyone can develop confidence and feel good about themselves ; learn strategies, games and activities to help students who are shy and awkward ; follow the authors' suggested program, or create your own, from the wealth of ideas that make up this book.
Download or read book Planning Curriculum in Mathematics written by Jodean E. Grunow and published by . This book was released on 2001 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document is designed to facilitate the state of Wisconsin's Planning Curriculum in Mathematics. Planning Curriculum in Mathematics complements Wisconsin's Model Academic Standards for Mathematics and puts into action the standards in the latter document. It is hoped that these materials will serve as springboards for contemplation by curriculum planners, developers, implementers, and evaluators as they build district programs. This document offers a focus on teaching and learning, inclusion of research, discussion of issues, and practical assistance. This book contains: (1) an extensive compendium of resources; (2) reflects the underlying belief that mathematics must be taught and learned with understanding; and (3) is a policy piece. Chapters include: (1) "We Are All Learners of Mathematics"; (2) "Teaching and Learning Mathematics with Understanding"; (3) "Curriculum, Instruction, and Assessment"; (4) "Designing Professional Development To Promote Understanding"; (5) "Putting the Standards into Action"; (6) "Using Research To Guide Mathematics Program Development"; (7) "Foundations for Consideration in Mathematics Program Development"; (8) "How Does a District Look at Mathematics Program Development?"; and (9) "Commitment and Adaptability." (MM)
