Based on a proven instructional model distilled over years of research, this book focuses on five essential pedagogy standards for guiding teaching practice in classrooms with diverse students, including English learners. Providing key indicators for each standard along with the theoretical rationale and "best practice" strategies, the book offers…

In this journal issue, the authors of the focus articles have provided a suite of very stimulating and thoughtful articles. The overarching purpose of this research is to explore the application of principles derived from the view of validity proposed by Kane (2004) to their research on issues related to the measurement of mathematical knowledge…

The authors of this volume's stimulus papers have taken on the challenge of developing measures of teachers' mathematical knowledge for teaching (MKT). This task involves multiple decisions and considerations, including: (1) How does one specify the body of knowledge being assessed? What warrants are offered for those choices?; (2) How does one…

The articles in this bibliography represent holdings to date in the area of assessment alternatives in mathematics. The annotated articles are intended mainly to stimulate thinking and provide ideas. Some of the entries are formal assessments and are intended mainly for the classroom. Other articles discuss performance based assessment and other…

This document Agency is designed to assist teachers and other school personnel in the planning and teaching of the first grade mathematics course. Contents include: (1) Overview of Grade 1 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the second grade mathematics course. Contents include: (1) Overview of Grade 2 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the third grade mathematics course. Contents include: (1) Overview of Grade 3 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the fourth grade mathematics course. Contents include: (1) Overview of Grade 4 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the seventh grade mathematics course. Contents include: (1) Overview of Grade 7 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics, and uses…

This book presents six instructional models for teaching at-risk students. Each chapter is followed by a commentary section by an educational expert. Chapter 1 contrasts compensatory education as it is today with the kind of curriculum and instruction that would emerge based on the principles espoused in later chapters. Chapter 2 describes an…

This study examined factors that teachers say determine whether they modify new information about mathematics, mathematics learning, and mathematics teaching to fit their existing conceptions or whether they restructure their existing conceptions. Three female teachers (two sixth grade and one fifth grade) from a rural, public school participated…

This report summarizes results from research aimed at improving the quality of information collected about school curriculum. The research sought to design and pilot a model for collecting benchmark data on school coursework. These more indepth data, such as course textbooks, assignments, exams, and teacher logs, can serve as anchors against which…

This document presents activities for use by middle school teachers which show how rational numbers and proportions are present in many real-world situations, including the collection and analysis of fractions, ratios, percents, and proportions, as well as rational number connections with geometry and similarity. The activities are divided into…

In recent years, many schools have turned to Integrated Learning Systems (ILSs) to facilitate instruction and assist with raising state standardized test scores. Typically, these ILSs are utilized in a computer lab with students working individually on computer-based instructional lessons for an allotted time period. Using ILSs in this manner has…

A lesson plan for first-grade children beginning to learn English describes an activity using manipulatives and visual aids to develop recognition of three geometric shapes (circle, square, rectangle), their names, and a few additional words in English (e.g., "bag,""table,""door"). Students are grouped at tables of four to six and provided with…