Teaching Mathematics To Middle School Students With Learning Difficulties
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Teaching Mathematics to Middle School Students with Learning Difficulties by Marjorie Montague,Asha K. Jitendra Pdf
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.
Teaching Mathematics to Students with Learning Disabilities by Nancy S. Bley Pdf
"Teaching Mathematics to Students with Learning Disabilities is a professional resource for teachers at the elementary and middle school levels who teach students with learning disabilities. Now in its fourth edition, this resource has been written with the belief that, though they learn differently, most students with learning disabilities can master important mathematical concepts and skills, can apply them in their day-to-day lives, and will use them to advantage in their future careers. This belief has evolved out of our personal experiences with students having learning disabilities that affect mathematics learning and achievement, and has molded the way in which our ideas for mathematics instruction have been developed and refined."--
Teaching Mathematics Meaningfully by David H. Allsopp,David Allsopp (Ph. D.),Maggie M. Kyger,LouAnn H. Lovin Pdf
Making mathematics concepts understandable is a challenge for any teacher--a challenge that's more complex when a classroom includes students with learning difficulties. With this highly practical resource, educators will have just what they need to teach mathematics with confidence: research-based strategies that really work with students who have learning disabilities, ADHD, or mild cognitive disabilities. This urgently needed guidebook helps teachers Understand why students struggle.Teachers will discover how the common learning characteristics of students with learning difficulties create barriers to understanding mathematics. Review the Big Ideas. Are teachers focusing on the right things? A helpful primer on major NCTM-endorsed mathematical concepts and processes helps them be sure. Directly address students' learning barriers. With the lesson plans, practical strategies, photocopiable information-gathering forms, and online strategies in action, teachers will have concrete ways to help students grasp mathematical concepts, improve their proficiency, and generalize knowledge in multiple contexts. Check their own strengths and needs. Educators will reflect critically on their current practices with a thought-provoking questionnaire. With this timely book--filled with invaluable ideas and strategies adaptable for grades K-12--educators will know just what to teach and how to teach it to students with learning difficulties.
Teaching Elementary Mathematics to Struggling Learners by Bradley S. Witzel,Mary E. Little Pdf
Packed with effective instructional strategies, this book explores why certain K-5 students struggle with math and provides a framework for helping these learners succeed. The authors present empirically validated practices for supporting students with disabilities and others experiencing difficulties in specific areas of math, including problem solving, early numeracy, whole-number operations, fractions, geometry, and algebra. Concrete examples, easy-to-implement lesson-planning ideas, and connections to state standards, in particular the Common Core standards, enhance the book's utility. Also provided is invaluable guidance on planning and delivering multi-tiered instruction and intervention.
Math Instruction for Students with Learning Difficulties by Susan Perry Gurganus Pdf
This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.
Numeracy for All Learners by Pamela D. Tabor,Dawn Dibley,Amy J. Hackenberg,Anderson Norton Pdf
Numeracy for All Learners is a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.
Teaching Math to Students with Learning Disabilities by John F. Cawley,Anne Hayes,Teresa E. Foley Pdf
Title Page 1 Dedication 2 About the Authors 3 Table of Contents 4 Introduction 10 Purposes of Mathematics 10 Perspective 11 The What and When of Mathematics Programming 12 A Primary Purpose 13 A Basic Understanding for Teachers 15 Section 1: Problem Solving Precedes Computation 19 Framework for Alternative Representations 20 Utilizing Alternative Representations in Problem Solving 26 What is a Problem? 27 Information Processing in Word Problem Activities 30 Word Problems and Conjunctive/Disjunctive Relationship 31 Selecting the Best Question for a Word Problem 34 Word Problems Using Cloze Procedure 35 Views of Mathematics 38 Problem Solving Precedes Computation 39 Semantics 41 Active and Passive Problem Solving 45 Problem to Match the Question 46 Information Sets to Complete a Problem Activity 46 Display Activities for Problem Creation 46 Developing Vocabulary 47 Teaching Vocabulary 49 Instruction in Vocabulary 50 Syntax 53 The Elements of a Word Problem 54 Classifying Word Problems by Mathematical Constructs 56 Section 2: Developing Word Problems for Diagnostic Feedback 59 Problem Solving, Cognition and Language Complexity 59 Word Problem Solving Activities 60 Problem Characteristics 62 Direct Word Problems 63 Indirect Word Problems 65 Two Step Problems 67 Word Problems Made From Nonsense Words 68 Problem Formats 69 Script/display/picture format 69 Write format 72 Story format 73 Sentence format 74 Nominal Numbers 76 Organizing Quantitative Information 77 Section 3: Connections to Other Subjects 79 Arithmetic Activities and Word Problems Related to Community Concerns 79 Addition 79 Subtraction 80 Multiplication 81 Division 83 Quantitative and Qualitative Distractors 84 Contiguity and Non-Contiguity 85 Definite and Indefinite Quantifiers 86 Word Problems to Address Emotions 86 Formula Types of Word Problems 88 Machines and formulas 88 Work and simple machines 89 Effort and resistance 93 Pre-Algebra Thinking 94 Extended Problem Activities 94 Related Problems 95 Solving a Problem 95 Being a Problem Solver 95 Long-Term Problem Solving 96 Executive Processes 99 Summary 101 Section 4: Arithmetic Computation 102 Preparing to Compute 105 Patterns 105 Pattern Traits - Identify a Pattern and Original Learning 106 Pattern Traits - Identify a Pattern and Intradimensional Shift 107 Pattern Traits - Identify a Pattern and Extradimensional Shift 107 Pattern Traits - Copy a Pattern and Extradimensional Shift 108 Pattern Traits - Extend a Pattern and Extradimensional Shift 108 Sequences 110 Counting 111 Counting Forward and Backward 111 Cardinal Property 113 Skip Counting 113 Naming the Numbers 114 Section 5: Knowing About and Being Able To Do 117 Curricula Choices 119 Alternative Representations 121 Background for the Operations 122 Relations 123 Counting 123 A Pendulum 125 A Balance Scale 125 Counting the 10's and Accounting for the 10's 126 Unusual Combinations of 10's 129 Place Value 130 Estimation 131 Expanded Notation 133 Representations of Quantity 134 Section 6: Communicating Mathematics 137 Knowing About and Doing Addition 140 Addition - Things to Know About Addition 141 Addition - Things to Know When Doing Addition 146 A + H: Memorization of Basic Facts 148 Subtraction - Things to Know About Subtraction 150 Subtraction - Things to Know When Doing Subtraction 152 YAP and YAN 155 Multiplication - Things to Know About Multiplication 156 Multiplication - Things to Know When Doing Multiplication 158 Division - Things to Know About Division 162 Division - Things to Know When Doing Division 163 Section 7: Teaching the Operations Using Whole Numbers 168 Probability Control 171 Controlled Repetition 172 Active versus Passive Activities 172 Error Detection Activities 173 Teaching Addition 173 Teaching Subtraction 180 Alternative Algorithms 184 Left-to-right 184 Without renaming 184 Teaching Multiplication 185 Alternative Representations 189 Array multiplication 194 Two or more digit combinations 192 Estimation 195 Algorithmic Variations 196 Teaching Division 196 Remainders 202 Moving Over 203 Regrouping Partial Dividends 204 Alternative Algorithms 207 Section 8: Hand-Held Calculators 209 Activity-Based Computer Participation 209 Evaluation 216 Section 9: Concluding Comments 218 Appendix 219 References 233.
Response to Intervention in Math by Paul J. Riccomini,Bradley S. Witzel Pdf
Boost academic achievement for all students in your mathematics classroom! This timely resource leads the way in applying RTI to mathematics instruction. The authors describe how the three tiers can be implemented in specific math areas and illustrate RTI procedures through case studies. Aligned with the NMAP final report and IES practice guide, this book includes: Intervention strategies for number sense, fractions, problem solving, and more Procedures for teaching math using systematic and explicit instruction for assessment, instructional planning, and evaluation Essential components to consider when designing and implementing RTI in mathematics
Teaching Math in Middle School by Leanne R. Ketterlin-Geller,Sarah Rannells Powell,David Chard,Lindsey Perry Pdf
An essential guide for in-service educators--and an important resource for teachers in training--this book gives you the in-depth knowledge and practical tools you need to support every student's success in middle school math.
Mathematics Education in the Middle Grades by National Research Council,Center for Science, Mathematics, and Engineering Education Pdf
In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.
Teaching Mathematics in Diverse Classrooms for Grades K-4 by Benny F. Tucker,Ann H. Singleton,Terry L. Weaver Pdf
"The book emphasizes that effective mathematics teachers plan lessons that include a more complete development of mathematical ideas, use visuals supporting mental imagery, present opportunities for kinesthetic learning activities, provide chances for children to communicate their understanding of mathematics, and allow for continual monitoring of student learning. Lessons include straightforward, easy-to-use learning activities illustrating specific mathematical concepts and skills, visuals to help develop mental imagery, and opportunities for active student learning."--publisher website.
Differentiated Instruction for the Middle School Math Teacher by Karen E. D'Amico,Kate Gallaway Pdf
Differentiated Instruction for the Middle School Math Teacher is a practical and easy-to-use resource for teaching a standards-based math curriculum to all learners. It gives you effective ways to present math concepts, shows how to provide opportunities for guided practice, and offers ideas for modifying the material to provide access to the same content standard for all students in the inclusive classroom. This book also contains key strategies for collaborating with other professionals, suggestions for involving the students' families by tying math concepts to students' everyday lives, and valuable assessment strategies. The lessons in the book cover middle school math topics correlated to the standards of the National Council of Teachers of Math, ranging from numbers and operations to problem solving and reasoning. Each lesson includes: Instructions for presenting the lesson to the whole class Worksheets designed to help review and reinforce theconcepts presented in each lesson A section on how to adapt the lesson for the inclusive classroom, including descriptions of different stations for different learners A home-school connection with family-based everyday math activities Suggestions for how to assess students' grasp of the concepts presented in the lesson
Solving Math Word Problems by Asha K. Jitendra Pdf
This is a detailed-scripted program using Schema-Based Instruction (SBI), designed as a framework for instructional implementation. It is primarily for school practitioners (e.g., special and general education teachers, school psychologists, etc.) teaching critical word problem solving skills to students with disabilities, grades 1-8.
Awesome Math by Titu Andreescu,Kathy Cordeiro,Alina Andreescu Pdf
Help your students to think critically and creatively through team-based problem solving instead of focusing on testing and outcomes. Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as outcomes rather than as individuals who require guidance on thinking critically and creatively. Awesome Math focuses on team-based problem solving to teach discrete mathematics, a subject essential for success in the STEM careers of the future. Built on the increasingly popular growth mindset, this timely book emphasizes a problem-solving approach for developing the skills necessary to think critically, creatively, and collaboratively. In its current form, math education is a series of exercises: straightforward problems with easily-obtained answers. Problem solving, however, involves multiple creative approaches to solving meaningful and interesting problems. The authors, co-founders of the multi-layered educational organization AwesomeMath, have developed an innovative approach to teaching mathematics that will enable educators to: Move their students beyond the calculus trap to study the areas of mathematics most of them will need in the modern world Show students how problem solving will help them achieve their educational and career goals and form lifelong communities of support and collaboration Encourage and reinforce curiosity, critical thinking, and creativity in their students Get students into the growth mindset, coach math teams, and make math fun again Create lesson plans built on problem based learning and identify and develop educational resources in their schools Awesome Math: Teaching Mathematics with Problem Based Learning is a must-have resource for general education teachers and math specialists in grades 6 to 12, and resource specialists, special education teachers, elementary educators, and other primary education professionals.
