Language:Chinese.COMPUTERS. EDUCATION AND SPECIAL NEEDS (map)

Computers, Education, and Special Needs (Addison-Wesley Series on Computers in Education)

Science & Math

Goldenberg, E. Paul

Carter, Cynthia J.

Stokes, Shari

Technology

Addison-Wesley Publishing Company

Exploring Language with Logo invites the reader to participate actively in the play and work of the linguist. It is the first comprehensive presentation of Logo's highly developed, well publicized, but vastly underused language-manipulation capability. Throughout the book, experimental projects and compelling examples of language in use are chosen to stimulate interest in and promote exploration of the structure, function, and history of language. The treatment is both serious and playful.  Using this book, readers can teach a machine how to produce words, phrases, and sentences and at the same time gain insight into both the elegance and the complexity of language. The book teaches Logo technique as it is needed for specific explorations, with the goal of providing readers with enough programming independence to design their own sophisticated language-manipulation programs.  The first part takes up the grammar of sentences, poems, and stories -syntax, semantics, and style, the orderliness of language in units larger than a word. The second explores the structure in the microscopic worlds within words - morphology, orthography, and phonology. The reader is invited to model the structure of words, create procedures that know how to spell, discover the ways words are affected when affixes are added, and to work with projects on word roots, historical changes in words, and conjugations and declensions in English and other languages.  This inventive and innovative text is readable both with and without the computer. It will challenge and excite anyone interested in learning or teaching language and linguistics.  E. Paul Goldenberg is Researcher and Developer at Education Development Center, Inc., Newton, adjunct faculty in education at Lesley College, and former Director of the Computer Center at Lincoln-Sudbury Regional High School. Wallace Feurzeig is Division Scientist of the Information Sciences Division at BBN Laboratories, Cambridge. Exploring Language with Logo is included in the series Explorations in Logo, edited by E. Paul Goldenberg.

Exploring Language With Logo

Computers & Technology

Feurzeig, Wallace

Computer Science

Mit Pr

"This book has much to offer teachers of middle and high school algebra who wish to implement the Common Core Standards for all of their students." -Hyman Bass, Samuel Eilenberg Distinguished University Professor of Mathematics &amp; Mathematics Education, University of Michigan "One of the joys of Making Sense of Algebra is how clearly and practically the 'how' question is answered." -Steven Leinwand, American Institutes for Research, author of Accessible Mathematics "Paul Goldenberg and his colleagues have done a fantastic job of connecting mathematical ideas to teaching those ideas." -David Wees, New Visions for Public Schools, New York City Every teacher wants to help students make sense of mathematics; but what if you could guide your students to expect mathematics to make sense? What if you could help them develop a deep understanding of the reasons behind its facts and methods? In Making Sense of Algebra, the common misconception that algebra is simply a collection of rules to know and follow is debunked by delving into how we think about mathematics. This "habits of mind" approach is concerned not just with the results of mathematical thinking, but with how mathematically proficient students do that thinking. Making Sense of Algebra addresses developing this type of thinking in your students through: <ul>
<li>using well-chosen puzzles and investigations to promote perseverance and a willingness to explore</li> <li>seeking structure and looking for patterns that mathematicians anticipate finding-and using this to draw conclusions</li> <li>cultivating an approach to authentic problems that are rarely as tidy as what is found in textbooks</li> <li>allowing students to generate, validate, and critique their own and others' ideas without relying on an outside authority.</li> </ul>
Through teaching tips, classroom vignettes, and detailed examples, Making Sense of Algebra shows how to focus your instruction on building these key habits of mind, while inviting students to experience the clarity and meaning of mathematics-perhaps for the first time. Discover more math resources at Heinemann.com/Math

Making Sense of Algebra: Developing Students' Mathematical Habits of Mind

Mark, June

Kang, Jane M.

Fries, Mary

Cordner, Tracy

Mathematics

Heinemann

Ways to Think About Mathematics: Activities and Investigations for Grade 6-12 Teachers

Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.

Education & Teaching

Benson, Steve

Karnowski, Eric E.

Addington, Susan

Arshavsky, Nina

Cuoco, Al

Schools & Teaching

Corwin

Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.

Facilitating mathematical investigations with teachers will help improve their teaching! National and state standards suggest that mathematical investigation, problem solving, and exploratory learning should play a central role in mathematics lessons. It is therefore necessary for teachers to experience mathematical explorations as learners themselves. This Facilitator Guide and accompanying CD-ROM provides resources for planning and implementing courses and workshops using Ways to Think About Mathematics by containing: <ul>
<li>Commentary on the activities</li> <li>Pedagogical suggestions (materials sequencing, promoting active participation, adapting to the needs of particular teachers)</li> <li>Additional reading and problems tied to the content of the main text</li> <li>Sample solutions for all problems and discussion questions</li>
</ul>CD-ROM is PC and Mac compatible and not sold separately.

Facilitator's Guide to Ways to Think About Mathematics

Karnowski, Eric

Corwin Press

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Books by Goldenberg, E. Paul