**List of Contents**

**September 2007**

**Acres of Diamonds in New York’s High Stakes Testing Environment; Empowering Educators via the Internet**

*Steve Watson*

**Gender Differences in Mathematics Departments at Colleges and Universities Across the United States: Towards an Inclusive Environment**

*Alexander Rolón*

**Collaborative research relationships in Urban Science Classrooms**

*Rowhea Elmesky, Anita Abraham*

**Counter-Examples and Paradoxes in Teaching Mathematical Statistics: A Case Study**

*Farida Kachapova, Murray Black, Sergiy Klymchuk, Ilias Kachapov*

**Effective Procedures in Teaching Mathematics**

*Farida Kachapova, Murray Black, Ilias Kachapov*

**Mathematical Competencies in the nascent state“on the basis of the Educational Project „In the Middle of the Way…“**

*Elżbieta Jaworska, Bożena Makulska-Dąbkowska, Elżbieta Ostawiczuk, Andzrej Wawrzyniak, Andrzej Werner*

**Planning a route for a performing trip of a music team: A group project in 4th grade mathematics**

*Grażyna Pawłowska*

**Reflections of a Teacher Educator**

*Harrie Broekman*

**The Process of Doing Mathematics**

*Rony Gouraige*

**Using Alternative Numeral Systems in Teaching Mathematics**

*Farida Kachapova, Murray Black, Ilias Kachapov*

**Editorial**

With this issue of the Mathematics Teaching-Research Journal, we begin the theme of democratization of mathematics and science education. Over the next several issues, our articles, your thoughts and the discussion will create the climate to arrive at a common shared understanding of what it means to have a democratic access to mathematics education. The word democratic includes equal access and existence of a level playing field. Do these two phrases also then include, creating the conditions necessary to address the learning needs of the students?

Section 1 of the current issue addresses different aspects of the process of democratization. In Section 2 we bring mathematics classroom innovations from around the world and in Section 3 we present two reflective pieces upon our teaching work.

**Editorial News**

Our journal is now funded jointly by the National Science Foundation and CUNY’s Office of Undergraduate Education.

A new project undertaken by the teaching-research methodology – VISUALIZE- A TRNYC project is aimed at creating a base, where students combine their tactile and visual sense to guide themselves in visualizing the geometry they create out of making paper models of polyhedra. The project is conducted jointly with the Siedlce group of teachers and mathematicians in Poland. The nets for the polyhedra, largely a creation of Waclaw Zawadowski and Krystoff Mostowski, are entertaining students of all ages in mathematics classes and outside.