Navigating Through Algebra in Grades 9-12

Navigating Through Algebra in Grades 9-12
Author: Maurice Joseph Burke
Publisher: National Council of Teachers of
Total Pages: 86
Release: 2001
Genre: Algebra
ISBN: 9780873535021

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This book focuses on algebra as a language of process, expands the notion of variable, develops ideas about the representation of functions and extends students' understanding of algebraic equivalence and change. In the activities, students apply properties of functions by using median salary data, explore the meaning of equivalent equations and use recursive or iterative forms to represent relationships. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

Navigating Through Geometry in Grades 9-12

Navigating Through Geometry in Grades 9-12
Author: Roger Day
Publisher: National Council of Teachers of
Total Pages: 152
Release: 2001
Genre: Geometry
ISBN: 9780873535144

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Approaching geometry through a transformational lens, this book concentrates on topics such as the use of transformations, coordinates and matrices and congruence and similarity. Activities that take students through geometric tasks require some use of technology, including interactive geometry software and a calculator or a computer with software that produces geometric images and graphs. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

Navigating Through Number and Operations in Grades 3-5

Navigating Through Number and Operations in Grades 3-5
Author: Natalie N. Duncan
Publisher:
Total Pages: 232
Release: 2007
Genre: Mathematics
ISBN:

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In grades 3-5, students extend their understanding of place value, larger whole numbers, fractions and decimals. They develop an understanding of multiplication and division, mastering and applying basic facts. Concrete materials can help students represent and reinforce these important concepts. Activities in this book invite students to use fraction circles to compare fractions and dot arrays to explore multiplication and the distributive property.

Teaching Secondary and Middle School Mathematics

Teaching Secondary and Middle School Mathematics
Author: Daniel J. Brahier
Publisher: Taylor & Francis
Total Pages: 540
Release: 2024-01-22
Genre: Education
ISBN: 1003820042

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Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The seventh edition has been updated and expanded with particular emphasis on the latest technology, standards, and other resources. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: • Following on from the sixth edition, assessment takes a central role in planning and teaching. Unit 3 (of 5) addresses the use of summative and formative assessments to inform classroom teaching practices. • A new appendix is included that lists websites that can be used in a methods class to view other teachers interacting with students for discussion of effective teaching practices. • The feature entitled “Links and Resources” has been updated in each of the 13 chapters. Five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. • Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. • Significant revisions have been made to Chapter 12, which now includes updated research and practices as well as a discussion on culturally responsive pedagogy. Likewise, Chapter 8 now includes a description of best and high-leverage teaching practices, and a discussion in Chapter 11 on alternative high school mathematics electives for students has been added. • Chapter 9, on the practical use of classroom technology, has again been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld personal devices, in light of changes in education resulting from the global pandemic. An updated Instructor’s Manual features a test bank, sample classroom activities, PowerPoint slide content, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9781032472867.

Uncovering Student Thinking in Mathematics

Uncovering Student Thinking in Mathematics
Author: Cheryl M. Rose
Publisher: Corwin Press
Total Pages: 201
Release: 2006-12-20
Genre: Education
ISBN: 1483334104

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"Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who ′seek to understand before being understood.′" —From the Foreword by Anne Davies "A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers." —Richard H. Audet, Associate Professor, Roger Williams University Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning! Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student′s progress. To identify fallacies in students′ preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students′ thinking on core mathematical concepts. Designed to question students′ conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students′ existing knowledge and individually address their identified difficulties. Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with: 25 ready-to-use mathematical probes Teacher guides for implementing each probe at any grade level Examples of typical obstacles and faulty thinking demonstrated by students This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students′ learning and achievement in mathematics.

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds
Author: Carolyn Kieran
Publisher: Springer
Total Pages: 443
Release: 2017-12-04
Genre: Education
ISBN: 3319683519

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This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Navigating Through Algebra in Grades 3-5

Navigating Through Algebra in Grades 3-5
Author: Gilbert J. Cuevas
Publisher:
Total Pages: 102
Release: 2001
Genre: Education
ISBN:

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CD-ROM contains: Blackline masters for some of the activities illustrated in text -- Three applets for students to manipulate -- Resources for professional development.

Teaching Mathematics in Grades 6 - 12

Teaching Mathematics in Grades 6 - 12
Author: Randall E. Groth
Publisher: SAGE
Total Pages: 513
Release: 2012-08-10
Genre: Education
ISBN: 141299568X

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A journey into the vibrant and intriguing world of mathematics education Teaching Mathematics in Grades 6 - 12 explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows secondary mathematics teachers the value of being a researcher in the classroom by constantly experimenting with methods for developing students′ mathematical thinking and then connecting this research to practices that enhance students′ understanding of the material.The chapters in Part I introduce secondary teachers to the field of mathematics education with cross-cutting issues that apply to teaching and learning in all mathematics content areas. The chapters in Part II are devoted to specific mathematics content strands and describe how students think about mathematical concepts. The goal of the text is to have secondary math teachers gain a deeper understanding of the types of mathematical knowledge their students bring to grade 6 - 12 classrooms, and how students′ thinking may develop in response to different teaching strategies.

Mathematics Worksheets Don't Grow Dendrites

Mathematics Worksheets Don't Grow Dendrites
Author: Marcia L. Tate
Publisher: Corwin Press
Total Pages: 201
Release: 2008-08-21
Genre: Education
ISBN: 1452207240

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Engage students in effective, meaningful experiences in mathematics! Following the format of Marcia L. Tate’s previous bestsellers, this user-friendly guide offers math teachers 20 powerful, brain-based teaching strategies that incorporate visual, auditory, kinesthetic, and tactile modalities to promote student engagement and achievement. The book focuses on the NCTM focal points and includes a bibliography of math and literature resources and a lesson planning guide. The chapters offer: A what, why, and how for each strategy Specific brain-compatible mathematics activities and lessons from real teachers across the country Space for teachers to reflect on and apply individual strategies in their lessons