The Undoing Project has 18,725 ratings and 1,879 reviews. Trish said This nonfiction is unlike others Michael Lewis has offered us. In this he tries the. Characteristics Of A Good Mental Mathematics Activity Book' title='Characteristics Of A Good Mental Mathematics Activity Book' />Communicating in the Language of Mathematics Mathematics consists of content and know how. What is know how in mathematics The ability to solve problems. George Polya, How to Solve It, a New Aspect of Mathematics. Communication in math involves making use of the processes of reading, writing, speaking, listening, and thinking as one communicates with ones self, other people, computers, books, and other aids to the storage, retrieval, and use of the collected mathematical knowledge of the world. Current precollege math education systems have substantial room for improvement in helping students learn to communicate effectively in the language of mathematics. Short Summary. Math is a huge discipline with great breadth and great depth. The discipline existed before the development of written languages. As you know, reading and writingincluding the development of math notation and math vocabularyhave contributed immensely to the discipline of math. Many people consider math to be a language. It is not a general purpose language, such as English or Spanish. Rather, it is a discipline specific language. Each discipline has developed specialized vocabulary and its own ways of communication that are specific to the discipline. Consider, for example, music notation and a person learning to sight read music. Perhaps you have seen and heard examples of the language of basketball or the language of football. On televised broadcasts of games one sometimes gets to see diagrams of plays and hear the language used by the coach to communicate plays and give directions to players. A summary of arguments supporting the idea that math is a language is available in Logan 2. Characteristics Of A Good Mental Mathematics Activity Book' title='Characteristics Of A Good Mental Mathematics Activity Book' />An activity book created using the first 100 High Frequency Words HFW for children to complete on their own or with adult support. Edvard Ingjald Moser pronounced edv msr stress and tone born 27 April 1962 is a Norwegian psychologist and neuroscientist, who is a scientific. Great Theosophical teachings of Annie Besant and C. W. Leadbeater. PREFACE. This book is intended to place in the hands of the general reader an epitome of. The Occupational Outlook Handbook is the governments premier source of career guidance featuring hundreds of occupationssuch as carpenters, teachers, and. Web. Certainly, math is an area in which one can learn oral and written communication and can learn to think using the vocabulary, symbols, and ideas of the language of math. Now, add to this concept the word communication in the field called Information and Communication Technology ICT. Note that in the United States this field is more often called Information Technology IT, while the rest of the world tends to use the term ICT. The communication aspects of ICT open up a whole new dimension in every academic discipline. Logan 2. 00. 0 argues that the Internet is a language and that computer programming languages collectively are language. Clearly the whole field of Computer and Information Science and its applications in ICT strongly overlap with the discipline of math. Indeed, in a number of colleges, Computer and Information Science is organized within the Department of Mathematics. Thus, it is appropriate to consider the language aspects of Computer Science and ICT as we consider communication in math. Here are some of the more important ideas in this document. Although one can spend a lifetime studying math and still learn only a modest part of the discipline, young children can gain a useful level of math knowledge and skill via oral tradition even before they begin to learn to read and write. Oral and tangible, visual communication in and about math is an important part of the discipline. Reading and writing are a major aid to accumulating information and sharing it with people alive today and those of the future. This has proven to be especially important in math, because the results of successful math research in the past are still valid today. Reading and writing including drawing pictures and diagrams are powerful aids to ones brain as it attempts to solve challenging math problems. Reading and writing also help to overcome the limitations of ones short term memory. The language of mathematics is designed to facilitate very precise communication. This precise communication is helpful in examining ones own work on a problem, drawing upon the previous work of others, and in collaborating with others in attempts to solve challenging problems. Our growing understanding of brain science is contributing significantly to our understanding of how one communicates with ones self in gaining increased expertise in solving challenging problems and accomplishing challenging tasks in math and in other disciplines. Information and Communication Technology ICT has brought new dimensions to communication, and some of these are especially important in math. Printed books and other hard copy storage are static storage media. They store information, but they do not process information. ICT has both storage and processing capabilities. It allows the storage and retrieval of information in an interactive medium that has some machine intelligence artificial intelligence. Even an inexpensive handheld, solar battery 6 function calculator illustrates this basic idea. There is a big difference between retrieving a book that explains how to solve certain types of equations and making use of a computer program that can solve all of these types of equations. We all understand the idea of a native language speaker of a natural language. Students learning an additional language will often progress better when taught by a native language speaker who can fluently listen, read, talk, write, and think in the language, and who is skilled in teaching the language. We prefer that this teacher be fluent in a standard version of the language and not have a local accent and vocabulary that would give pause to many native speakers of the same language. The same idea holds in math education. The math educational system in the United States is significantly hampered because so many of the people teaching math do not have the math knowledge, skills, and math pedagogic knowledgeand, most important, level of fluencythat would classify them as being math education native language speakers. The last bulleted item points to a major weakness in our current math educational system. A great many of our children are being taught math by teachers who are ill prepared to deal with the complexities of being a successful teacher in this discipline. This topic is addressed in more detail throughout the remainder of this document. Reading Writing Across the Curriculum. This document is intended mainly for teachers of math teachers and for preservice and inservice teachers of math. Oral and written communication are recognized as being an important part of the core of a modern education. All preservice teachers learn about the need for students to learn to read and writeboth in general, and within each discipline they study. Reading across the curriculum is a common theme. Sometimes this expression is taken to mean both reading and writing, but often writing does not receive as much emphasis as reading. Many students find it is quite difficult to reach or exceed contemporary standards in reading and writing in a natural language such as English. Even for those who graduate from high school and go on to higher education, reading and writing can still be major challenges. Many students find that they have to undertake remedial work in this area when they enter college, trade school, or an occupation. Alcohol 120 7 Serial Retail Stores more. Contemporary standards are usually set so that a significant percentage of students do not meet the standards. Failure to meet standards is often then considered to be the fault of the teacher not teaching well enough or the student being lazy. I am particularly interested in students learning to read and write in the discipline of mathematics.