No matter what path students pursue in postsecondary education and in life, they need to be able to problem-solve and think critically. The study of mathematics teaches skills and habits of mind that are an essential part of the formula for students to succeed in further studies and in their careers. Requiring all students, regardless of the…

This guide is a revised and updated edition of "Making It Count." This version contains much of the information from the earlier publication but also includes strategies for using project-based learning and Web-based instructional programs to support the development of mathematics proficiency for youth in short-term juvenile correctional…

Mathematics teachers confront dozens of daily decisions about how to instruct students. It is well established that high-quality instruction provides benefits for students with diverse learning and family backgrounds. However, it is often difficult for teachers to identify the critical aspects of a successful mathematics lesson as they strive to…

"Using the Common Core State Standards for Mathematics With Gifted and Advanced Learners" provides teachers and administrators examples and strategies to implement the new Common Core State Standards (CCSS) with advanced learners at all stages of development in K-12 schools. The book describes--and demonstrates with specific examples from the…

Consider that colorful photographs, eye-catching illustrations, and captivating images intended to make textbooks more appealing may actually distract students from the lesson at hand. Or that asking students to simply solve math problems might not be as effective as having them explain the steps of solutions that are already worked out--even some…

Students struggling with mathematics may benefit from early interventions aimed at improving their mathematics ability and ultimately preventing subsequent failure. This guide provides eight specific recommendations intended to help teachers, principals, and school administrators use Response to Intervention (RtI) to identify students who need…

This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…

This is a narrative review of research in mathematics education reported during 1987. The purpose of this review is to extract from research reports ideas that may prove useful to school practitioners. Major sections are: (1) "Planning for Instruction" (relating historical developments, aides and grades, teaching approaches, problem…

This document consists of three issues of the journal "Seedbed," an outcome of the Teachers' Center Project at Southern Illinois University at Edwardsville (SIUE). Issue Number 29 contains 67 articles on teachers' ideas that they thought worth sharing with other teachers. Issue Number 30 consists of a single paper, "Children and…

This study was designed to investigate whether the implementation and integration of the use of the Explorer Calculator into the curriculum influenced students in grades three through six. The sample consisted of approximately 440 students who were assigned to the treatment group or the control group. Achievement scores from the Iowa Test of Basic…

Several competencies and instructional strategies necessary to accommodate the changing role of teachers of mathematics at middle-school level are described. Also provided are teacher-generated and teacher-tested instructional activities that can be used to facilitate student success in learning mathematical concepts. After describing the…

As momentum for change in U.S. education continues to grow, questions about the nature and goals of mathematics education take on increasing urgency. This report proposes a framework for reform of school mathematics mainly through reshaping of the mathematics curriculum. Chapters included are: (1) "A Rationale for Change," describing changing…

Outlines two mathematics teaching strategies: the exploration/discovery approach to mathematical concepts, and the use of pair group problem-solving. These require teachers to shift from the traditional role of lecture/demonstrator to a role demanding new skills in planning and facilitating student work. Includes 10 references. (MD)

This document presents Core Course Proficiencies for the State of New Jersey whose purpose is to ensure that all students have equal access to the fundamental knowledge and skills critical to achieving success in mathematics. After an introduction providing rationale and background, the Core Course Proficiencies are presented in three sections.…

The purposes of this paper are: (1) to investigate the effects of SQUARE ONE TV on children's problem-solving behavior and their attitudes toward mathematics and (2) to indicate some connections between the result and the National Council of Teachers of Mathematics (NCTM)'s Curriculum and Evaluation Standards for School Mathematics. This paper…