In this theoretical essay, I build on complexity theory and commognition to theorize the ways in which failure to teach/learn mathematics (FTLM) emerges through the dynamic interactions among teacher, learner, and curriculum demands. I focus on two main concepts of complexity theory: emergence in dynamic systems and attractor states (stable,…

Integer arithmetic is difficult for students worldwide. Although students' integer thinking has frequently been studied, little is known about typical instructional practice for this difficult topic. Thus, to investigate what resources teachers use, we surveyed U.S. middle-grade teachers who teach negative numbers. About half the teachers said…

Using data from a problem-posing project, this study analyzed the characteristics of middle school students' responses to problem-posing prompts that did not match our assumptions and expectations to better understand student thinking. The study found that the characteristics of middle school students' unexpected responses were distributed across…

At Mayfield Middle School, in order to create personalized and more meaningful learning experiences for the students, it was realized that a typical, traditional schedule was not always conducive to the types of learning experiences teachers wanted to create. Teachers had great ideas for projects and practices that would incorporate more critical…

In this article, the author shares her experience with a student whose parents had immigrated from China. One parent spoke English, but the other parent did not--which led to them sometimes feeling isolated from their child's educational experience. This understanding enabled the author to adapt her school's communication methods to better meet…

This study investigated how a self-regulated learning intervention, implemented within a personalized learning environment, affected students' self-regulation, self-efficacy, and academic achievement at a middle school. The personalized learning environment in this study was two self-paced units within middle school seventh grade math classrooms.…

The importance of student engagement in schools is ever-increasing, particularly in the middle years area. Student achievement is directly linked to a student's level of engagement. Middle years teachers have a responsibility to work hard to understand the needs of their adolescent students, establish connections with their students, and provide…

Background: Research clearly points toward a relationship between teaching behavior and students' affect. The relations between teaching behavior and middle school students' mental health, in the form of positive and negative affect, are particularly important to understanding how school-based clinicians can provide support for teachers and…

Choral method textbooks include various strategies on when and how to introduce expression in song acquisition including vocal modeling. In two previous studies, participants who learned expressive elements early in a song-learning sequence (infused-expression) performed those elements more accurately than those who learned them at the end of the…

Public education depends on the collaboration of adults to promote the success of the students who are served. Principal-teacher relationships are a necessary part of the overall learning environment established for students to grow and thrive. In an urban educational setting these relationships can be tested, especially in the transitional grades…

Engineering design practices in STEM education focus on reflecting the discipline-specific work of engineers in a manner that is suitable for the student level and course learning objectives. Using an engineering design context also facilitates student identification of global problems and feasible solutions to address such problems. In this…

There is a strong relationship between the quality of education, teachers' decisions and instructional actions, and knowledge. All of them have an important role outcome of the lesson and students' learning. The focus of this study was to discover how the process of students' learning or incapability of learning was affected by teaching practices.…

This case follows a middle school principal as she moves through a rather typical day at work. As the narrative unfolds, this principal is consistently faced with teachers and staff who choose to not fulfill their professional obligations, ignore in-role directives, and generally behave in ways which erode school culture, encourage student…

Instructional quality dimensions of cognitive demands and instructional support have been shown to have an impact on students' learning gains. Existing operationalizations of these dimensions have mostly used comprehensive ratings that combine various subdimensions of task quality and interaction quality. The current study disentangles interaction…

Many teachers use problems set in real or imaginary contexts to make mathematics engaging, but these problems can also be used to anchor conceptual understanding. By constructing an understanding of mathematical ideas through solving problems in contexts that make sense to students, they have a better chance of actually understanding those…