This report summarizes findings of current research supported by the Office of Special Education Programs on effective mathematics instruction for students with disabilities. The first brief article notes that most special education teachers do not have sufficient knowledge about the National Council of Teachers of Mathematics Standards and this…

The undergraduate curriculum in differential equations has undergone important changes in favor of the visual and numerical aspects of the course primarily because of recent technological advances. Yet, research findings that have analyzed students' thinking and understanding in a reformed setting are still lacking. This paper discusses an ongoing…

Time spent on disciplining children in the classroom is time taken away from achieving the objectives of instruction. The classroom teacher needs to have appropriate guidelines to use in teaching as well as specific workable procedures which help students to achieve. This paper discusses various methods of classroom discipline. The paper first…

This guide was developed to encourage excellence in education, help educators meet standards, and integrate environmental education programs into school district curricula in Alaska. Educational activities are active, inquiry-based, interdisciplinary, and connected to real-world applications. The following evaluation criteria for standards-based…

Based on the view that how parents discipline their children in the early years plays a significant role in determining their child's future behavior and relationships, this book offers advice for helping parents teach their children to accept responsibility for their own behavior, to form healthy relationships, develop sound and helpful…

The Department for International Development (DFID) is the British government department responsible for promoting development and the reduction of poverty in sites in developing and transition countries around the world. This paper focuses on the education dimension of poverty reduction, and specifically the attainment of the International…

The National Aeronautics and Space Administration (NASA) has produced a distance learning series of four 60-minute video programs with an accompanying Web site and companion teacher guide. This teacher guide accompanies the second video in the series. The story line of each program involves six ethnically diverse, inquisitive schoolchildren who…

Based on the view that strengthening families and neighborhoods can improve the life chances of vulnerable children, this discussion guide is designed to help communities participating in study circle programs to bring people from all segments of the neighborhood together to share different views and experiences, thereby building stronger…

The purpose of this paper is to share the strategies that children invented to solve problems involving division of fractions in the absence of algorithmic instruction. The data come from two sources, the first being a teaching experiment and the second being the regular classroom practice of this teacher/researcher. It was found that when the…

This paper explores the role of open-ended realistic division problem in the development of algebraic reasoning. A written test was administered to 672 students. From the results of this test students were selected for semi-structured interviews. The students were interviewed in pairs and were asked to explain to each other how they would solve…

The focus is on the metacognitive awareness of ten high-achieving high school pupils from Denmark and England and their cognitive learning process. Un-structured interviews in smaller groups investigates how they say they learn a mathematical concept that is new to them. I develop the "CULTIS model for analysis" (Consciousness,…

The questions addressed in this paper are: how do students interpret the non-solution problems as a mathematical practice in the classroom? What kinds of arguments do the students offer? To deal with these questions the utterances of students working in the classroom with problems in which they had to look for general relations in order to argue…

This paper will discuss some findings from a study investigating the development of the proving process in a dynamic geometry environment. Through a detailed analysis of students' processes when working with open geometry problems involving conjecturing and proving in Cabri, an analytical and explanatory framework has been developed. This paper…

We report a study of 10-14 year old children's use of additive strategies while solving ratio and proportion tasks. Rasch methodology was used to develop a diagnostic instrument that reveals children's misconceptions. Two versions of this instrument, one with "models" thought to facilitate proportional reasoning and one without were…

In the study, a part of longitudinal research focused on the emergence of mathematical knowledge structures in a learner's mind is presented. It concentrates on the analysis of introspective data gained from the author's study of a non-standard arithmetic structure in terms of the model of abstraction in context (Hershkowitz, Schwarz and Dreyfus).…