What began as a small group of professors gathering to discuss implementation of Inquiry-Based Learning (IBL) in our classes has developed into a strong regional community of practice. Through a generous grant and a lot of hard work, we created the Greater Upstate New York IBL consortium with a mission to create, grow, and maintain a community of…

Teaching teachers to participate in mathematical inquiry has the potential to both transform belief systems about mathematics and to transform teachers from consumers of mathematics to producers of mathematics. The focus of this paper is to describe the use of a problem, based on a non-traditional binary operation, to encourage and teach…

In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…

In this paper I will share my experience with flipping a math content course for pre-service elementary teachers. The flipped class format involves students receiving instruction outside the classroom through readings and/or video lectures and working on "homework" inside the classroom. I will share strategies for creating lessons for my…

The Riemann sum definition of integration is ubiquitous in college calculus courses. This, however, is not the only possible way to define an integral. Here, we present an alternative mean-based definition of integration. We conjecture that this definition is more accessible to students. In support of this proposition we first present a…

We describe several service-learning initiatives implemented by the mathematics and education departments. College students with majors and minors in math and math education have helped to design and implement math events for elementary and middle school students. Formal and informal reflections on these service-related experiences have…

This article introduces a mathematical entity, the varimeter, that can be used to engage future mathematics teachers in reflection about the structure of measurement systems, thus aiding in the development of insight and understanding which may be beneficial to the future teachers when they work with their own students on measurement. Furthermore,…

In this article, the author suggests that to improve the teaching of mathematics in elementary schools, we must, when teaching content courses to prospective teachers, model the kind of teaching we want them to engage in. The author suggests ways to model this kind of teaching, which include the following: (1) challenge "all" students; (2)…

This article is a reflection on an elementary pre-service teacher's intuitive idea offered as a mistaken solution strategy for counting matchsticks. It shows the difficulties in responding to flawed lines of intuitive reasoning arising in the classroom setting. A number of learning environments for teacher professional development are suggested…

This article describes a collaboration between two faculty members, one from mathematics and the other from education, to strengthen the preparation of pre-service elementary school teachers for teaching mathematics. The model used is a learning community which combines a mathematics content course offered by the mathematics department, with a…

It is possible to get prospective elementary school teachers to learn interesting mathematics well by not only requiring that they learn the material in a mathematics course but also requiring that they teach it as part of an enrichment program at the middle school level. This article discusses the reasons for such a course, and describes a…

In this paper, I will discuss two related activities that I have developed for use in a college geometry course directed at pre-service secondary and elementary school teachers. These activities ask students to develop geometry on pool tables and on cones. The two activities are closely related, and both ask students to relate computer models with…

One of the major problems facing education today is the inadequate mathematics' preparation of pre-college students and their teachers. Most colleges and universities have well established programs for students planning to teach mathematics at the secondary schools; however, in many institutions pre-secondary mathematics has been addressed only…

Describes a nine-hour, three-sequence mathematics course in the elementary teacher certification program at Texas Tech University. Emphasizes the development, philosophy, design, and implementation of the sequence. Presents excerpts from the activities and group exercises outlined for the course. Contains 15 references. (Author/ASK)