A simple way is given to create residual plots that are words or pictures. Three illustrative examples are presented.

The author describes an activity where prospective mathematics teachers made hypotheses about the dimensions of a fair cylindrical die and conducted experiments with different cylinders. He also provides a model that estimates the probability that a cylinder would land on the lateral surface, depending on the height and diameter of the cylinder.…

The vision for science education set forth in "A Framework for K-12 Science Education" (NRC 2012) makes it clear that for today's students to become the scientifically literate citizens of tomorrow, their educational experiences must help them become mathematically proficient. "The focus here is on important practices, such as modeling, developing…

In this article, the author shares how his fourth-grade students' creative thinking concerning a long-standing research problem stimulated changes in his instructional strategies. He begins by providing an example which illustrates that the standard tool of democracy, the plurality vote, suffers serious deficiencies: "The winner can be the…

More than 1 million people have watched the online video in which Salman Khan--a charming MIT math whiz, Harvard Business School graduate, and former Boston hedge-fund analyst--explains how he began tutoring his cousins in math by posting short lessons for them on YouTube. Other people began watching the lessons and sending Khan adulatory notes.…

The Institute of Education Sciences (IES) publishes practice guides in education to bring the best available evidence and expertise to bear on current challenges in education. Authors of practice guides combine their expertise with the findings of rigorous research, when available, to develop specific recommendations for addressing these…

This study explores the relationships between teacher knowledge, teaching practice, and student learning in mathematics. It extends previous work that developed and evaluated an innovative approach to assessing teacher knowledge based on teachers' analyses of classroom video clips. Teachers watched and commented on 13 fraction clips. These written…

This study investigates primary school students' perceptions of interactive whiteboard technology and its influence on their learning during mathematics instruction. Using Bubble Dialogue templates, group interviews and lesson observations to gather data on student views and the classroom context, a theme-based description of student perceptions…

Computer-based instruction (CBI) programs have been implemented in classrooms for almost three decades. One advantage of CBI includes allowing the user to tailor instruction to their particular style of learning (Slavin & Lake, 2009). An essential part of individualizing CBI involves the students use of active electronic support tools, which…

According to this author, when it comes to data-based decision making, many educators are looking in the wrong place. This is one reason why this potentially powerful practice has too often under-delivered. Many schools rush headlong into analyzing data without considering if the data they are reviewing is worth the effort, if other data might…

A good textbook must meet a number of pedagogical, psychological, scientific, esthetical, and other requirements. The presented research examines whether the mathematics textbooks in use in Hungarian primary schools in Romania meet those requirements. We used documentation, contents analysis and surveys as research methods. We examined the…

This study examines the implementation of a problem-based math curriculum that uses problem situations related to global warming and pollution to involve students in modeling polynomial, exponential, and logarithmic functions. Each instructional module includes activities that engage students in investigating current social justice and…

The purpose of the study was to investigate the nature of the preservice teachers' (PSTs) reflections on their practices in the context of the Iterative Model Building (IMB) approach. Participants were elementary PSTs enrolled in a field experience course in the spring of 2009. The field experience included formative assessment interviews,…

As more and more undergraduate students act as voluntary tutors to rural pupils after school, there is a growing need for a supporting environment to facilitate adaptive instruction. Among others, a teaching method retrieval system is intended to help tutors find relevant teaching methods for teaching a particular concept. However, teaching…

This paper describes student response, as indicated by an anonymous questionnaire, given by the author to her remedial algebra students at a community college that is part of a large East Coast open-admissions university. The course in question is aimed at the university-wide exit mathematics test necessary to graduation and college-level…