Search results for: focus-in-high-school-mathematics

Focus in High School Mathematics

Author : Michael Shaughnessy
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Reasoning about and making sense of statistics and probability are essential to students’ future success. This volume belongs to a series that supports NCTM’s Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for making reasoning and sense making part of the mathematics experiences of all high school students every day. Six investigations illustrate how to help high school students develop their skills in working with data. The investigations emphasise the roles of reasoning and sense making in defining a statistical question and collecting, analysing and interpreting data to answer it. The authors examine the key elements of statistical reasoning identified in Focus in High School Mathematics: Reasoning and Sense Making and elaborate on the associated reasoning habits. The investigations show how students can use these habits in analysing data sets, constructing and comparing representations of data and using samples and simulations to gather data. They reason about distributions of data and how to use measures of centre, lines of best fit and other tools and techniques to detect trends, make predictions and determine the allowable scope of conclusions. The development of statistical reasoning must be a high priority for school mathematics. This book offers a blueprint for emphasising statistical reasoning and sense making in the high school curriculum.

Focus in High School Mathematics

Author : National Council of Teachers of Mathematics
File Size : 46.60 MB
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A framework to guide the development of future 9-12 mathematics curriculum and instruction.

Focus in High School Mathematics

Author : Karen J. Graham
File Size : 22.33 MB
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The algebraic notation we use today allows for the compact representation of complex calculations and problems, however, that compactness can be a barrier to sense making. Teachers must help students reason through this barrier. Reasoning about and making sense of algebra are essential to students’ future success. This book examines the five key elements (meaningful use of symbols, mindful manipulation, reasoned solving, connection algebra with geometry and linking expressions and functions) identified in Focus in High School Mathematics: Reasoning and Sense Making in more detail and elaborates on the associated reasoning habits. This volume is one of a series of books that support NCTM’s Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for making reasoning and sense making part of the mathematics experiences of all high school students every day.

The Common Core Mathematics Companion The Standards Decoded High School

Author : Frederick L. Dillon
File Size : 44.53 MB
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When it comes to math, standards-aligned is achievement-aligned… Since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical math ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. The authors lay out the pieces of an in-depth explanation, showing the mathematical progression of each conceptual category, how standards connect within and across domains, and what teachers and students should be doing every day to foster deep learning.

Teaching Secondary and Middle School Mathematics

Author : Daniel J. Brahier
File Size : 23.57 MB
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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.

Focus in Kindergarten

Author : Karen C. Fuson
File Size : 87.88 MB
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ENC Focus

Author :
File Size : 35.26 MB
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Your Mathematics Standards Companion High School

Author : Frederick L. Dillon
File Size : 88.86 MB
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Transforming the standards into learning outcomes just got a lot easier This expansion of the popular Common Core Mathematics Companions provides a Cross-Referencing Index for states implementing their own specific mathematics standards. This index allows you to see in an instant which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas. Beyond that? It’s the same great go-to guide for guide for teaching, planning, assessing, collaborating, and designing powerful high school mathematics curriculum, in any state or district.

Resources for Preparing Middle School Mathematics Teachers

Author : Cheryl Beaver
File Size : 65.8 MB
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"Cheryl Beaver, Laurie Burton, Maria Fung, Klay Kruczek, editors"--Cover.

Assessment of Authentic Performance in School Mathematics

Author : Richard A. Lesh
File Size : 20.34 MB
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This book is the result of a conference sponsored by the Educational Testing Service and the University of Wisconsin's National Center for Research in Mathematical Sciences Education. The purpose of the conference was to facilitate the work of a group of scholars whose interests included the assessment of higher-order understandings and processes in foundation-level (pre-high school) mathematics. Discussions focused on such issues as the purposes of assessment, guidelines for producing and scoring "real-life" assessment activities, and the meanings of such terms as "deeper and higher-order understanding," "cognitive objectives," and "authentic mathematical activities." Assessment was viewed as a critical component of complex, dynamic, and continually adapting educational systems. During the time that the chapters in this book were being written, sweeping changes in mathematics education were being initiated in response to powerful recent advances in technology, cognitive psychology, and mathematics, as well as to numerous public demands for educational reform. These changes have already resulted in significant reappraisals of what it means to understand mathematics, of the nature of mathematics teaching and learning, and of the real-life situations in which mathematics is useful. The challenge was to pursue assessment-related initiatives that are systematically valid, in the sense that they work to complement and enhance other improvements in the educational system rather than act as an impediment to badly needed curriculum reforms. To address these issues, most chapters in this book focus on clarifying and articulating the goals of assessment and instruction, and they stress the content of assessment above its mode of delivery. Computer- or portfolio-based assessments are interpreted as means to ends, not as ends in themselves. Assessment is conceived as an ongoing documentation process, seamless with instruction, whose quality hinges upon its ability to provide complete and appropriate information as needed to inform priorities in instructional decision making. This book tackles some of the most complicated issues related to assessment, and it offers fresh perspectives from leaders in the field--with the hope that the ultimate consumer in the instruction/assessment enterprise, the individual student, will reclaim his or her potential for self-directed mathematics learning.

Teaching Children Mathematics

Author :
File Size : 80.73 MB
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Focus on Secondary Education

Author : E. Dale Davis
File Size : 48.80 MB
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Journal for Research in Mathematics Education

Author :
File Size : 57.49 MB
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Focus on Statistics

Author : Sara Brown (Mathematics specialist)
File Size : 90.42 MB
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"Focus on Statistics consists of 19 investigations in statistics for grades 8-12. It is written to help teachers implement key statistical concepts in their classrooms. Included in the 19 investigations are three exploratory investigations that encourage students to collect and analyze their own data. In Investigation 4, students collect data from the Census at School website involving the amount of homework for different grade levels. In Investigation 8, students collect data on two quantitative variables involving the length of time for dominoes to fall. In Investigation 18, students use the Census at School website to collect and compare data pertaining to stress levels for students in the US and New Zealand"--

Teaching Secondary Mathematics

Author : Alfred S. Posamentier
File Size : 49.9 MB
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Note: This is the loose-leaf version of Teaching Secondary Mathematics and does not include access to the Pearson eText. To order the Pearson eText packaged with the loose-leaf version, use ISBN 0133783677. Teaching Secondary Mathematics, 9/e combines methods of teaching mathematics, including all aspects and responsibilities of the job, with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum to give teachers alternatives for making professional judgments about their teaching performance–and ensuring effective learning. The book is divided into two parts designed to ensure effective teaching and learning: Part I includes a focus on the job of teaching mathematics and Part II includes enrichment activities appropriate for the entire secondary school curriculum. Both the Common Core State Standards and The National Council of teachers of Mathematics Principles and Standards for School Mathematics are referred to throughout the book. The new Ninth Edition features an alignment with the Common Core State Standards (CCSS), with special focus on the mathematical practices, an updated technology chapter that shows how current tools and software can be used for teaching mathematics, and an updated chapter on assessment showing show to provide targeted feedback to advance the learning of every student.

Teaching Mathematics to Middle School Students with Learning Difficulties

Author : Marjorie Montague
File Size : 24.77 MB
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A highly practical resource for special educators and classroom teachers, this book provides specific instructional guidance illustrated with vignettes, examples, and sample lesson plans. Every chapter is grounded in research and addresses the nuts and bolts of teaching math to students who are not adequately prepared for the challenging middle school curriculum. Presented are a range of methods for helping struggling learners build their understanding of foundational concepts, master basic skills, and develop self-directed problem-solving strategies. While focusing on classroom instruction, the book also includes guidelines for developing high-quality middle school mathematics programs and evaluating their effectiveness.

Changing High School Math

Author : James Alan Feenstra
File Size : 66.80 MB
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High School Mathematics Teachers Beliefs about Learning Pedagogy and Mathematics and Their Relationship to Teaching Authentically

Author : Jonathan Lloyd Brendefur
File Size : 57.69 MB
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Focus a Magazine for Innovators

Author :
File Size : 58.36 MB
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The Math Pact High School

Author : Barbara J. Dougherty
File Size : 31.20 MB
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A schoolwide solution for mathematics success! When “rules” seem to change from year to year, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular “Rules that Expire” series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. You’ll learn to avoid “rules that expire”—tricks that may seem to help students in one grade but hurt in the long run. Features include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · PLC prompts and discussion points