In this article, I model how a problem-posing framework can be used to enhance our abilities to systematically generate mathematical problems by modifying the attributes of a given problem. The problem-posing model calls for the application of the following fundamental mathematical processes: proving, reversing, specializing, generalizing, and…

In the current high-stakes educational environment, emphasis is on measurable student learning outcomes. The focus remains on single high-stakes tests, but most assessments of student learning occur in the classroom. In a survey of secondary mathematics teachers, the teachers self-reported their use of classroom assessment methods. The classroom…

The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

Purpose: This paper aims to describe the activities designed and conducted with primary school, secondary school and university students to study the integration of alternative assessment and self-assessment online tools in mathematics courses using iTest. iTest is an educational software tool born to support the continuous evaluation system…

Swayed by global pressures and poor international academic standing, Vietnam in 2002 initiated further school-wide curriculum change reflecting a student-centred reform agenda. Initial research on implementation is producing mixed results. One explanation is a mismatch with a Confucian Heritage Culture as a social-constructivist philosophy may…

This study focused on a population of female engineering students, probing the influences of their secondary school experience on their choice to pursue an engineering course of study at university. The motivating question is: Do unique opportunities exist in an all-female secondary school mathematics classroom, which impact a young woman's…

"Mathematics is more than skills... it is also the excitement of discovery." This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced;…

How can the secondary Geometry course serve as an opportunity for students to learn to "be like" a mathematician--that is, to acquire a mathematical sensibility? In the first part of this dissertation, I investigate what might be meant by "mathematical sensibility". By analyzing narratives of mathematicians and their work, I identify a collection…

The present paper examines the difficulties Greek senior high school students identify in learning Statistics and how these difficulties are related to the course's level of difficulty. Also it examines the difficulties students identify that teachers face while teaching Statistics, their suggestions for changes and how these difficulties and…

This study examines the influence of reading and planning from two differently organized mathematics textbooks on prospective high school mathematics teachers' pedagogical content knowledge and content knowledge of exponential functions. The teachers completed a pretest and two posttests. On the pretest, the teachers possessed an incomplete…

This article explores central elements that facilitate successful mathematics professional development in urban secondary schools through a case study of one long-term effort. The following research question guided this study: How can schools structure professional development that supports teacher learning and addresses the complex realities of…

The premise underlying this article is that identifying and using the "five practices model" can make discussions of cognitively challenging tasks more manageable for teachers. By giving teachers a roadmap that they can follow before and during whole-class discussions, these practices have the potential for helping teachers more effectively…

This document presents the proceedings of the 20th Annual Research Forum held June 25, 2015, at Wake Forest University in Winston-Salem, North Carolina. Included are the following 21 action research papers: (1) History Lives! The Use of Simulations in a High School Social Studies Classroom (Lydia Adkins); (2) Using Francophone Music in the High…

A number of different solutions are presented and discussed for the problem of constructing a unit segment given the length of the square root of X. (DT)