For fans of the bestselling book "The Formative 5: Everyday Assessment Techniques for Every Math Classroom" comes this updated and expanded edition for understanding and implementing highly effective, research-backed formative assessment techniques into seamless, daily practice with students in grades K-12. "The Formative 5 in…

This article presents a reflection on what the qualitative interview method conducted with students can provide to (mathematics) education research in terms of in-depth knowledge and what critical methodological points should be taken into consideration. Repeated interviews with the same students in relation to research quality is considered. The…

Mathematics education researchers frequently use task-based interviews to gain insight into mathematicians' practice. However, there are a number of factors that should prevent mathematics educators from extrapolating how individual mathematicians respond to researcher-generated tasks in laboratory conditions, to how mathematicians practice their…

This study uses a mixed method sequential exploratory design to examine motivational and contextual influences on boys' and girls' engagement in math and science, paying particular attention to similarities and differences in the patterns by gender. First, interviews were conducted with 38 middle and high school students who varied in their level…

A 7-month mathematics proficiency program was conducted in a primary Australian Indigenous community school. This paper focuses on outlining the specific methodologies employed to explore how students' mathematical proficiency changed throughout the implementation of the program in Years 2 to 4 (~ 7 to 9 years old). A mixed methods research design…

Larry Lesser is a Professor in the Department of Mathematical Sciences at The University of Texas at El Paso. He is also a UTEP Distinguished Teaching Professor whose awards include a 2016 Minnie Stevens Piper Professor Award, the 2012 International Sun Conference Scholarship of Teaching and Learning Award, a 2011 UT System Regents' Outstanding…

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 study presents a methodology for investigating teacher learning in and from practice based on "discourses" that are in constant flux and transformation. Conceptualizing teacher learning as a frame of meaning based on "knowing" and "doing" discourses, the ideas are illustrated through data collected from a…

Narratives that capture children's learning as they go about their day-to-day activities are promoted as a powerful assessment tool within early childhood settings. However, in the New Zealand context, there is increasing concern that learning stories--the preferred form of narrative assessment--currently downplay domain knowledge. In this paper,…

This research aims to describe and analyze result of applying Problem-Based Learning and Cognitive Conflict Strategy (PBLCCS) in increasing students' Mathematical Critical Thinking (MCT) ability and Mathematical Curiosity Attitude (MCA). Adopting a quasi-experimental method with pretest-posttest control group design and using mixed method with…

This paper reports on a longitudinal mixed methods evaluation study on the acquisition and development of mathematical pedagogical content knowledge (MPCK) of future teachers at several German universities. The study is a German supplementary study to the international comparative TEDS-M 2008 study. Besides the pedagogical content knowledge that…

In this article, the authors report on the initial results of a mixed methods study that examined the beliefs that preservice teachers have about teaching real-world contexts, including those related to injustices, controversial issues, and children's home and cultural backgrounds. Data collection included a survey with 92 preservice Pre-K-8…

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 this article, the authors explore using a conference workshop setting to engage mathematics teachers, who serve largely underserved student populations, in culturally relevant pedagogy (CRP). The conference workshop encouraged the exchange of information among teachers of similar grade levels and classroom contexts. The authors' analysis of the…

This paper reports on a component of a study which aims to determine how ICT, and in particular some of the technology funded as part of Australian government's DER (Digital Education Revolution) program, is used by teachers in the state of New South Wales. The study looks in particular at whether technology is used to incorporate real-world…