Dyslexia and Mathematics

Dyslexia and Mathematics
Author: Thomas Richard Miles
Publisher: Psychology Press
Total Pages: 148
Release: 1992
Genre: Education
ISBN: 9780415049870

Dyslexia is seen primarily as a limitation in the ability to deal with symbolic material. As far as the symbols of mathematics are concerned, therefore, special teaching techniques are needed, just as they are for the teaching of reading and spelling. The book contains a wealth of material on individual cases and on children of different ages. Two central themes are discussed: first, that dyslexics need to carry out the operations of adding, dividing, and so on, before being introduced to the symbolism; and second that, because of their difficulties with rote learning, they need to be shown the many regularities and patterns which can be found in the number system. All the contributors have had experience of teaching dyslexic children at various levels.

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
Author: Jennifer M. Bay-Williams
Publisher: Corwin
Total Pages: 265
Release: 2021-03-02
Genre: Education
ISBN: 1071818430

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Teaching Math to Students with Learning Disabilities

Teaching Math to Students with Learning Disabilities
Author: John F. Cawley
Publisher: R & L Education
Total Pages: 0
Release: 2008
Genre: Arithmetic
ISBN: 9781578868247

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.

Mastering the Basic Math Facts in Multiplication and Division

Mastering the Basic Math Facts in Multiplication and Division
Author: Susan O'Connell
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2011
Genre: Arithmetic
ISBN: 9780325029627

Presents an approach to teaching basic math facts to young students, featuring instructional strategies, tips, and classroom activities. Includes a CD-ROM with customizable activities, templates, recording sheets, and teacher tools.

Mathematics Instruction for Students With Disabilities

Mathematics Instruction for Students With Disabilities
Author: John F. Cawley
Publisher: Routledge
Total Pages: 62
Release: 2014-05-22
Genre: Education
ISBN: 1135483140

This special issue focuses on mathematics for students with disabilities, particularly on the topic of division. The articles discuss a number of curricula and instructional practices that have direct and meaningful implications for the classroom. They also serve as a foundation for the development of research into effective intervention practices. As a whole this issue provides an opportunity to extract selected features of instruction from the articles found herein and to contrast the effectiveness of two distinct instructional approaches--constructivism and direct/explicit instruction.

Strategies for Teaching Students With Learning Disabilities

Strategies for Teaching Students With Learning Disabilities
Author: Lucy C. Martin
Publisher: Corwin Press
Total Pages: 169
Release: 2008-12-19
Genre: Education
ISBN: 145229612X

"I wish I had this book when I started teaching! Every teacher starts out with an empty bag of tricks; it is nice to peek into someone′s bag!" —Nicole Guyon, Special Education Teacher Westerly School Department, Cranston, RI Classroom-tested strategies that help students with learning disabilities succeed! Teachers are often challenged to help students with learning disabilities reach their full academic potential. Written with humor and empathy, this engaging book offers a straightforward approach to skillful teaching of students with learning disabilities. Developed for K–12 general and special education classrooms, this resource draws on the author′s 30 years of teaching experience to help teachers gain a greater understanding of students′ learning differences and meet individual needs. Strategies are organized by skills—including reading, writing, math, organization, attention, and test-taking—helping teachers quickly identify the best techniques for assisting each student and encouraging independent learning. Readers will find: More than 100 practical strategies, interventions, and activities that build students′ academic abilities Recommendations on appropriate accommodations, assessment techniques, and family communication Support for complying with recent federal mandates related to learning disabilities, including the ADA, Section 504, and the reauthorization of IDEA 2004 Helpful guidance and stories from the author′s own classroom experiences Ready-to-use tools, forms, and guides Discover innovative, easy-to-implement teaching methods that overcome barriers to learning and help students with special needs thrive in your classroom.