The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

This paper presents a critical review of computer assisted instruction (CAI); an overview of recent intelligent tutoring systems (ITSs), including current perceived shortcomings; major activities of the field, i.e., analysis of teaching/learning processes, and extending and developing artificial intelligence techniques for use in intelligent…

Twenty-five outstanding middle grade mathematics teachers were selected to participate in a three-week workshop presented by the Middle Grades Mathematics Project (MGMP) at Michigan State University. A major focus was on the development of leadership; the workshop involved guest speakers, field trips, and an intensive immersion in the MGMP…

Presented are review questions and exercises for several mathematics topics. The first five sections cover the following major topics of the course: algebra, geometry, logic, probability, and statistics. Each of these five units follows a similar format. Each major topic is broken into several subtopics, with examples for each topic taken from…

This eighteenth annual listing of mathematics education research contains research summaries, articles, and dissertations listed alphabetically by author within each category. For each reference, the grade or age level is indicated. An index is included at the end to help readers locate studies on specified topics. (PK)

Solves the problem of the reproduction of rabbit pairs utilizing the Fibonacci sequence. Examines modified versions of the problem, and presents a vignette of one modification based on the author's experience in using the approach with preservice middle school teachers. Extends the approach to other related problems. (MDH)

Out of the 38 nations studied in the 1999 "Trends in International Mathematics and Science Study" (TIMSS), children in Singapore scored highest in mathematics (National Center for Education Statistics, NCES, 2003). Why do Singapore's children do so well in mathematics? The reasons are undoubtedly complex and involve social aspects.…

While it has been suggested that patterning activities support early algebra learning, it is widely acknowledged that the shift from perceiving patterns to understanding algebraic functions--and correspondingly, from reporting empirical patterns to providing explanations--is difficult. This paper reports on the collaborations of grade 4 students…

This article examines students' ability to use the balance model to solve for unknowns. A teaching experiment was conducted in four Year 3 classrooms. This experiment focused on exploring the application of the balance model as an analogue for representing equations and solving for unknowns. The teaching experiment promoted a shift by students…

This resource book represents shared experiences of Project LINCS' (Lead teachers INvolved in making ConnectionS) teachers and staff in addressing the question, "Are we teaching mathematics so that all students will be empowered to use it flexibly, insightfully, and productively?" and other fundamental questions that are driving change…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the high…

Beginning in February 1994, twelfth-grade students who have passed the Ohio Ninth-grade Proficiency Tests in all areas will take the Twelfth-grade Proficiency Tests in writing, reading, mathematics, and citizenship. This fact sheet describes the Twelfth-grade Proficiency Test in mathematics, which is designed to measure a twelfth-grade level of…

This paper illustrates the use of rule space as a tool to support cognitive analyses of students' mathematical behavior. The rule space approach is explained and is then used to classify students into one of two methods for solving linear algebraic equations in one unknown and to diagnose their knowledge states in this topic. A 32-item test with…

This is volume 6 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…