ABSTRACT

Introduction ......................................................................................................... 316 Problem in Historical Perspective .................................................................... 317

Early History of Education for the Blind .................................................... 317 Louis Braille and Major Changes in Education of the Blind .................... 318

Difficulties of Braille in the Domain of Mathematics ..................................... 319 Why Does Literary Braille Fail in the World of Mathematics? ................ 319 Birth of a New 6-Dot System for Mathematics .......................................... 321

Several Math Braille Formats ............................................................................ 323 Making Braille More Useful in the Domain of Mathematics ........................ 325

LAMBDA Project ............................................................................................ 325 DotsPlus System ............................................................................................. 326 View+ System .................................................................................................. 326 Handy Tech System ........................................................................................ 327 AutOMathic Blocks System .......................................................................... 327 HyperBraille System ...................................................................................... 328

Broader View of the Problem ............................................................................ 329 Static View ....................................................................................................... 329 Dynamic View................................................................................................. 329 Holistic View ...................................................................................................330

Examples of Dynamic Approaches...................................................................330 Understanding the Way People Interact with Mathematics ....................330 Overview of Some of the Systems That Are Considered Dynamic ........ 331