Gail Burrill is a Mathematics Specialist in the Program in Mathematics Education at Michigan State University. She previously served as secondary teacher and department chair. She was President of the National Council of Teachers of Mathematics and is currently President of the International Association for Statistical Education. She is a Fellow…

This paper reports on a study about how the mathematics textbook was perceived and used by the teacher in the context of a calculus part of a basic mathematics course for first-year engineering students. The focus was on the teacher's choices and the use of definitions, examples and exercises in a sequence of lectures introducing the derivative…

In that current study, pattern conversion ability of 25 pre-service mathematics teachers (producing figural patterns following number patterns) was investigated. During the study participants were asked to generate figural patterns based on those number patterns. The results of the study indicate that many participants could generate different…

In the Australian mathematics curriculum, Year 12 students (aged 16-17) are asked to solve conditional probability problems that involve the representation of the problem situation with two-way tables or three-dimensional diagrams and consider sampling procedures that result in different correct answers. In a small exploratory study, we…

Through a qualitative analysis of data collected over four years of design-based research on the implementation of a reform-oriented mathematics curriculum, this study describes two sixth-grade teachers' changing views of the role and place of reading in mathematics instruction. The findings reveal the evolution of the teachers' perspective on…

Drawing on 3 years of observational, survey, and interview data, this article highlights the importance of communities of practice (Lave & Wenger, 1991) for school staff members supporting Spanish-speaking, newcomer students in large, comprehensive high schools that often lack the resources to directly support this population. We highlight how…

Due to anxiety, low confidence, and inadequate content knowledge, many college students struggle to complete their developmental math coursework. As colleges redesign their programs to address these issues, careful research is imperative to determine the factors that best meet the needs of these struggling students. The purpose of this study was…

Designing, developing, and implementing a multi-year randomized control trial targeting what works in gifted education mathematics study is challenging, at best. In response to the United States Department of Education's Institute of Education Sciences request for proposal, we carefully constructed a mixed-methods study by assembling a diverse…

This paper outlines actions that educational change leaders can take to better meet their curriculum change obligations and responsibilities. In order to do this we extend Vygotsky's (1978) zonal theory and its many extensions and elaborations by positioning educational change leadership within this theory. We rename the zones to Zone of Principal…

Background: This paper describes the Problem-Solving Cycle model of professional development and the Mathematics Leadership Preparation model of PD leader preparation. These models form the backbone of our current research-practice partnership project in which we are working with a large urban district to adapt these models to develop district…

A group of teacher educators and practitioners in mathematics education and early childhood education generalized a set of inquiry-based mathematics models for Taiwanese young children of ages 3-6 and designed a series of inquiry-based mathematics curriculum tasks in cultivate the children's diverse mathematical concepts and mathematical power. In…

Recommendations for reforming high school mathematics curricula emphasize the importance of engaging students in mathematical investigations of societal issues (CCSSI [Common Core State Standards Initiative] 2010; NCTM [National Council of Teachers of Mathematics] 2000). Proponents argue that these investigations can positively influence students'…

This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities,…

This qualitative study examined perspectives of two key stakeholder groups, instructors and students, on mathematics content courses for prospective elementary teachers (Mathematics for Teachers [MFT] courses). A collective case study approach, which drew from the data of two cases in different but comparable settings, contributed to the…

This study reports teachers' insights and challenges after one year of adopting a curricular material designed to move students through carefully engineered, small steps and encourage learners through success and accessible challenges. The analysis of interviews showed that teachers 'followed' the material in different ways, not necessary in-line…