Teacher-dominated classrooms with some student-centered elements are a perplexing phenomenon of Chinese mathematics classrooms. In-depth exploration of this phenomenon is helpful for understanding the features of mathematics teaching in China. This paper demonstrates how the teacher can encourage students to actively generate knowledge under the…

In individual interviews, 220 students in grades 4, 6, 8, and 9 were given one task, and 72 eighth graders were given three tasks to answer two questions: (a) Is a square the unit of measurement for an area for students in grades 4-8? and (b) Does a square have a space-covering characteristic for students in grade 8? The answers to both questions…

Recent teacher professional development in California tends to focus on increasing teachers' mathematical knowledge. In Australia, pedagogically focused programs are preferred. The two approaches are contrasted by comparing a Californian professional development model based on improving mathematical knowledge in number and algebra with a New South…

This article presents an in-class Monte Carlo demonstration, designed to demonstrate to students the implications of multicollinearity in a multiple regression study. In the demonstration, students already familiar with multiple regression concepts are presented with a scenario in which the "true" relationship between the response and…

Problem solving continues to be a major focus of K-12 mathematics education reform. This case study shows how a teacher's middle school mathematics instruction evolved from teaching problem solving as computation exercises to teaching how to select and implement combinations of problem solving strategies. The teacher's thinking about problem…

This article reports on the grouping practices used by a cohort of 10 newly qualified primary teachers for teaching mathematics in different English primary schools. It examines the factors that influence why these teachers group as they do. All the teachers grouped their pupils on the basis of achievement or perceived ability for mathematics. It…

The importance of algebra instruction has increased in the United States in the past few years. Thus, in most states, middle school students are required to take Algebra 1. Middle school students with math difficulties in inclusion algebra settings may require a different instructional approach. The purpose of this research was to compare student…

Staff development is aimed at changing practice. Change creates conflict. Little work has been done to gain insight into the conflict that teachers experience in the implementation of staff development. This study examines conflict in a staff development project aimed at increasing teachers' knowledge and implementation of problem-based integrated…

We report on the development of students' ideas of probability and probability density in a University of Maine laboratory-based general education physics course called "Intuitive Quantum Physics". Students in the course are generally math phobic with unfavorable expectations about the nature of physics and their ability to do it. We…

In this article, we discuss the use of client-driven projects--projects that are posed by business, government, and non-profit organizations and based upon real problems facing the organization. Although client-driven projects have long been used in business and engineering education, their use in the mathematics classroom is rare. Client-driven…

General math students--the first quartile in math--are having trouble passing the Washington Assessment of Student Learning (WASL), and there are several reasons why: (1) They have poor math skills and not much aptitude; (2) They never see all of the needed curriculum; (3) Their learning style directly conflicts with the organizational patterns in…

With testing and accountability on everyone's mind, teachers are looking for creative ways to teach "all" subjects. Literacy is on the top of the list for testing, so it seems to get top priority. But how can teachers make sure that mathematics, especially a crucial area such as algebraic thinking, is a priority as well? Integrating subject matter…

Under a grant to improve outcomes for students who are deaf or hard of hearing awarded to the Association of College Educators--Deaf/Hard of Hearing, a team identified content that all teachers of students who are deaf and hard of hearing must understand and be able to teach. Also identified were 20 practices associated with content standards (10…

An individualized project is introduced to accompany a differential equations course with different modules ranging from standard to advanced levels with "Matlab" scripts. (Contains 1 figure.)

Effective classroom discussion is improvisational, because its effectiveness derives from the fact that it is not scripted. Instead, the flow of the class is unpredictable, and emerges from the actions of both teachers and students. In this article, I apply principles from training classes for improvisational actors to provide practical…