Adaptive teachers use student data to guide instruction. Learn about using an anecdotal record form to support adaptive teaching. In this article, the authors describe how teachers can use learning trajectories to make adaptive decisions to meet the needs of their students. They provide an example using the U .S. Math Recovery Council's learning…

The vast development and expansion of educational technology has led to the deconstruction of various barriers and challenges that the traditional approaches were incapable of overcoming. However, a field that still holds a great deal of interest and needs to be strengthened concerns the practices that surround mathematics education. Digital…

This article encourages approaches that develop children's understandings of data representations. In particular, when children develope flexibility in their approaches to data representation and understanding, the same data can be represented in different ways. Flexible and adaptive use of representations is part of mathematics competence which…

Elementary students' difficulties with angles in geometry are well documented, but we know little about how they conceptualize angles while solving problems and how their thinking changes over time. In this study, we examined 26 third and fourth grade students completing a body-based angle task supported by the Kinect for Windows. We used…

This article presents a case study that examines the level of integration of mathematical knowledge in physics problem solving among first grade students of upper secondary school. We explore the ways in which two specific students utilize their knowledge and we attempt to identify the epistemological framings they refer to while solving a physics…

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 three-year research study examined the influence of interactive technologies on the math achievement of Indigenous students in Years 4, 5, 6 and 7 technology-equipped classrooms in a rural elementary school in British Columbia, Canada. Using a mixed-methods approach, the researcher conducted semistructured interviews and collected math…

Ever-growing expectations exist for educators to use assessments to collect, analyze, and interpret data, but how, if at all, are these processes affecting instruction? This descriptive case study of one team of second grade teachers offers an analysis of the links between teachers' use of data within their collaborative team meetings and…

This study reports on the statistical content of five U.S. textbook series written for elementary students in grades 1-5. The researchers examined 17,688 pages and coded 7445 statistical tasks to determine (1) the distribution of statistical topics within textbooks, and (2) the relative emphasis on the phases of the statistical problem solving…

The Fennema-Sherman Mathematics Attitude Scales (FSMAS) are among the most popular instruments used in studies of attitudes toward mathematics. However, the FSMAS has been mainly used among student populations and rarely used with teachers. In the present study, three scales from the FSMAS--"Confidence," "Effectance…

The struggle with fraction learning in kindergarten through Grade 12 in the United States is a persistent problem and one of the major stumbling blocks to succeeding in higher mathematics. Research into this problem has identified several areas where students commonly struggle with fractions. While there are many theories of fraction learning,…

Rigorous evidence from around the world has shown that significant improvements in learning can be obtained at comparatively low cost by spending more, focused time ensuring that the bottom half of the class in the early grades does not get left behind. The authors present results from the Teacher Community Assistant Initiative (TCAI) that tests…

In this article, the author explores what Assessing Pupils' Progress (APP) is about. He contends that the predilection for testing is a catastrophe as far as the teaching and learning of mathematics is concerned; it is an outcome of the drive for collecting so-called "data" on pupils. What those people, who should know better, either choose to…

This guide is designed to help researchers make sure that their research reports include enough information about study measures so that readers can assess the quality of the study's methods and results. The guide also provides examples of write-ups about measures and suggests resources for learning more about these topics. The guide assumes…

Among the practical applications of statistics is the collection of data from manufacturing processes. Often collected in the form of a time series, data collected from a series of measurements show the variation in those measurements, such as mass of a product manufactured. Limits are set for quality control and if these are exceeded then a…