Action-Process-Object-Schema theory (APOS) was applied to study student understanding of quadratic equations in one variable. This required proposing a detailed conjecture (called a genetic decomposition) of mental constructions students may do to understand quadratic equations. The genetic decomposition which was proposed can contribute to help…

Problem Statement: Project-based learning (PBL) is a learning and teaching approach that makes students search for new knowledge and skills, helps them overcome real-life questions, and makes them design their own studies and performances. Research in Turkey reveals that teachers are not well-informed about PBL, can not guide students in this…

In this article, Strayer and Matuszewski present a six-phase strategy that teachers can use to help students develop a conceptual understanding of inferential hypothesis testing through simulation. As Strayer and Matuszewski discuss the strategy, they describe each phase in general, explain how they implemented the phase while teaching their…

Schools implement Positive Behavior Intervention and Supports (PBIS) as a way of meeting students' needs in classrooms. PBIS focuses on tiered instruction. Tiered instruction is a teaching strategy in which the educator implements incremental changes that increase supports based on students' needs--academic or behavioral. Yet, tiered instruction…

This study draws from histories of "educationalisation" and neo-Foucaultian histories of English teaching in an archival analysis that revisits landmark pedagogical texts that coincided with the rapid expansion of the school subject English in between the 1894 Report of the Committee of Ten and 1918 Cardinal Principles of Secondary…

The aim of this study was to research the prospective mathematics teachers' ability to construct a mathematical model for a real life problem and to prove these models by generalizing them to use in similar situations. The study was conducted with 129 prospective teachers determined on a volunteering basis. The data were obtained with the help of…

This paper presents an overview of 10 years of research with the "Betty's Brain" computer-based learning environment. We discuss the theoretical basis for "Betty's Brain" and the learning-by-teaching paradigm. We also highlight our key research findings, and discuss how these findings have shaped subsequent research. Throughout…

Teaching is complex; teachers and school leaders crave more meaningful collaborative experiences to make sense of that complexity. However, the structural, cultural, and historical factors involved with schooling impede the extent to which teachers can collaborate. Teachers spend five to six periods of the day teaching classes, largely working in…

There has been increasing interest in providing students with disabilities, who are at risk of social isolation, with opportunities to develop social competence and self-determination. Specifically, the provision of opportunities for teaching these students to promote social problem-solving skills is potentially useful for facilitating their…

This article introduces the Critical Response Protocol (CRP), an arts-based technique that engages students in equitable critical discourse and aligns with the "Next Generation Science Standards" vision for providing students opportunities for language learning while advancing science learning (NGSS Lead States 2013). CRP helps teachers…

When looking at teaching and learning processes in mathematics education students with mathematical learning difficulties or disabilities are of great interest. To approach the question of how research can support practice to assist these students one has to clarify the group or groups of students that we are talking about. The following…

Two purposes existed for initiating this qualitative case study involving adults who had completed a college-level business statistics course. The first purpose was to explore adult challenges with stress and anxiety during the course: a phenomenon labeled statistics anxiety in the literature. The second purpose was to gain insight into adult…

What should activist-scholars teach in the social problems classroom? In this conversation, I challenge the assertion that advancing a sociology of social problems is an overly academic enterprise of little use to students and other publics. I introduce the potential of a pedagogical framework for promoting social problems literacy: a set of…

Background: Students, parents, teachers, and theorists often advocate for direct instruction on both concepts and procedures, but some theorists suggest that including instruction on procedures in combination with concepts may limit learning opportunities and student understanding. Aims: This study evaluated the effect of instruction on a math…

Pedagogy informed by environmental communication can enhance collaboration within and outside the classroom. Through our collaborative, sustainability-focused work within the United States and internationally, we identified core capacities that prepare people to work together to form inclusive organizations and identify and respond to pressing…