Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

This unique comprehensive curriculum encourages students to learn mathematics by doing mathematics, by using and connecting mathematical ideas, and by actively increasing their understanding. "MathScape: Seeing and Thinking Mathematically" was developed by Education Development Center, Inc. with funding from the National Science Foundation. It is one of four middle school mathematics programs to receive a satisfactory rating from the American Association for the Advancement of Science (AAAS).

With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.

Mathscape 9 is designed for use by students completing Stage 4 and students ready for Stage 5.1 who wish to complete Stage 5.2 Mathematics by the end of Year 10. It is part of a series of 6 exciting books that responds to the NSW Board of Studies Mathematics 7-10 syllabus.

A story of transportation and life in a new world from Australia's Children's Laureate At the tender age of eight, chimney sweep Tom Appleby is convicted of stealing and sentenced to deportation to Botany Bay. As one of the members of the First Fleet, he arrives in a country that seemingly has little to offer - or little that the English are used to, anyway. Luckily, not long after tom's arrival in the colony, the fair and kind Sergeant Stanley decides to take on tom as a servant. Together Tom, Sergeant Stanley and his son, Rob, build a house, set up an orchard and a vegetable garden for themselves - and thrive, unlike many others in the new colony. Jackie French weaves Tom's story in with the story of the development of Australia. She tells of a colony that, despite its natural abundance, cannot offer what the colonists want - familiarity. While the people's health is better than it ever was in England, their morale is low as they wait for news from home. PRAISE FOR NANBERRY: BLACK BROTHER WHITE 'For really, really good Australian young-adult (and middle-grade) historical fiction, Jackie French has always been a winner ... With Nanberry: Black Brother White she delivers an excellent fictionalised account of the First Fleet's settlement at Sydney Cove ... a powerful novel' -- Australian Bookseller & Publisher, 5 stars 'She is one of few masters who can embed historic characters in rattling good tales, and her meticulous research is seamlessly inserted so that you live the detail rather than learn it. Even if you are not into history, Nanberry will hook you in ... Irresistible for history buffs of any age' -- Good Reading Magazine, 5 stars 'I've been telling all my friends to read this book, and to give it to their kids to read. It's absolutely engrossing' -- Herald Sun