The Public Broadcasting Service (PBS) sought to build on the strengths of high quality professional development through an online venture funded under the U.S. Department of Education's Ready To Teach (RTT) program. PBS TeacherLine was designed to provide high-quality, facilitated online professional development for K-12 teachers nationwide.…

Using national and state standards to guide a math program is just a start. It still must be decided how to apply the standards in the curriculum, determine when students should learn different content, and decide which programs and textbooks will help make math come alive in the classroom. That's where this new ASCD resource comes in. This book…

This paper argues that operations with negative numbers should be taught using a curriculum that is grounded in algebraic geometry. This position is supported by the results from a study that compared the conceptual understanding of grade 9 students who received the Algebra Project transition curriculum to a control group of grade 6 gifted…

This collection of 11 applied algebra curriculum modules can be used independently as supplemental modules for an existing algebra curriculum. They represent diverse curriculum styles that should stimulate the teacher's creativity to adapt them to other algebra concepts. The selected topics have been determined to be those most needed by students…

A pentagonal model, based on the star model of function understanding of C. Janvier (1987), is presented as a framework for the design and interpretation of research in the area of learning the concept of mathematical function. The five vertices of the pentagon correspond to five common representations of mathematical function: (1) graph; (2)…

Eighty ninth graders who solved an algebra problem in groups of four showed status effects at the individual level. The students had filled out preactivity questionnaires about mathematical status and social status and a postactivity leadership questionnaire. Hierarchical regressions and path analyses show that, at the group level, solution score…

Virtual Reality (VR) is a computer generated, multi-dimensional, inclusive environment that can build axioms of algebra into the behavior of the world. This paper discusses the use of VR to represent part of the algebra curriculum in order to improve students' classroom experiences in learning algebra. Students learn to construct their knowledge…

Some research on the learning of mathematics and on learning in general suggests that students may acquire knowledge more efficiently when presented with worked examples rather than the traditional lecture-and-then-practice format. Good worked examples may facilitate the development of mathematical schemata, while a means-end approach may retard…

Students who study algebra are more likely to attend college than those who don't. A major hurdle for students in studying algebra is the transition from arithmetic to algebra. In response to overcoming this hurdle, the College Board and Educational Testing Service has developed "Algebridge," a teaching supplement that integrates…

A theory of how people learn certain procedural skills is presented. It is based on the idea that the teaching and learning that goes on in a classroom is like an ordinary conversation. The speaker (teacher) compresses a non-linear knowledge structure (the target procedure) into a linear sequence of utterances (lessons). The listener (student)…

This curriculum for mathematics is designed as a teachable curriculum directed toward workplace needs. It is intended to be workplace specific and to move the learner toward a full 12th-grade level attainment. The two modules in this curriculum are further divided into modules dealing with specific topics. The first module, Basic Mathematics,…

One way to stimulate interest in mathematics among students is to provide them with enrichment activities which often are somewhat different than regular classroom activities. Based on that premise, this publication presents a compendium of activities designed to enrich mathematics at various grade levels. The activities fall into seven…

This practicum describes a computer assisted instructional (CAI) program written in the computer language BASIC. This computer program was designed to help 11th and 12th grade algebra students (n=15) better understand the concept of linear equations. The program has three sections: the first is a tutorial, the second section gives the student the…

This book attempts to integrate many of the major and recent research findings in mathematics education into a practical guide to mathematics teaching. It includes a variety of ideas and activities for the prospective and in-service teacher of elementary and junior high school mathematics. The book contains chapters on: (1) the nature of…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This is designed as the second of a two-semester sequence. Topics include performing operations with radicals and exponents; learning to solve equations;…