Students with autism spectrum disorder (ASD) are included in the general education classroom more often than ever before. Despite mathematical strengths and early success, these students experience poor outcomes (academic and employment) compared to their typically developing peers. The language of mathematics increases in complexity, use, and…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

Recent research demonstrates that mathematics teachers rely on a variety of curriculum materials and must make meaning and synthesize these materials for use in a particular place with particular students. While there are multiple theories about the nature of this work and the factors which influence this work, the field continues to lack a…

Mathematics education researchers suggest that it is important for teachers to select mathematics tasks that align with their goals for students; however, this can be challenging as there are many facets of alignment to consider. In this article, I present a rubric that details the alignment between tasks and learning goals. This rubric was…

Middle and high school students are part of Generation Z (birth years 1997-2012), a group that is emerging as very different from their parents and teachers. This article considers ways that generational research about Generation Z learners and NCTM's Effective Mathematics Teaching Practices can be used to inform and innovate practice in the…

Of the four subjects in an integrated science, technology, engineering, and mathematics (STEM) approach, mathematics has not received enough focus. This could be in part because mathematics teachers may be apprehensive or unsure about how to implement integrated STEM education in their classrooms. There are benefits to integrated STEM in a…

Addressed is the current practice in educational reform of reducing time for science instruction in favor of traditional reading/language arts instruction. In contrast, presented is an evidence-based rationale for increasing instructional time for K-5 science instruction as an educational reform initiative. Overviewed are consensus…

The National Council of Teachers of Mathematics calls for an increased emphasis on proof and reasoning in school mathematics curricula. Given such an emphasis, mathematics teachers must be prepared to structure curricular experiences so that students develop an appreciation for both the value of proof and for those strategies that will assist them…

Latinas/os, the largest and fastest growing minority ethnic group in the United States (impels research that focuses on the education of Latinas/os and the need to reduce the achievement gap that persists between Latinas/os and other groups. Such research has gained in popularity; however, it is still very limited. I use my teaching experience…

The integration of content areas is not a new concept (Moyer, 2000). Integration is promoted by many teacher educators because of its benefits for learners of all ages and backgrounds (Burns, 2005; Douville, Pugalee, & Wallace, 2003; Pica, 2002). Literacy in general, but reading in particular, is important across the content areas. Mathematics…

This paper describes the author's attempt to design assignments that engage preservice elementary teachers in original mathematical thinking. In particular, the choice of integer operations as the focus of a structured writing assignment that takes students two weeks to complete is explained and justified. Exemplary student work is quoted.…

In this article, we describe preservice elementary teachers' reactions to Liping Ma's (1999) book, "Knowing and Teaching Elementary Mathematics" (KTEM), from five universities. Ma's discussion of solely teaching elementary mathematics procedurally and its consequences awakens the preservice teachers' memories of learning elementary mathematics.…

Multiple views have been presented on how mathematical content knowledge should be taught in order to ensure quality instruction in the classroom. However, the ability to teach mathematics content is influenced by general pedagogy, pedagogical content knowledge and mathematical content knowledge. Nevertheless, all pedagogical competencies and…

Technology integration in mathematics classrooms is important to the field of education, not only because today's society is becoming more and more advanced and reliant upon technology but also because schools are beginning to embrace technology as an essential part of their curricula. The Principles and Standards for School Mathematics (National…

Due to the recent advances in video technology, an increased incorporation of videos and multimedia materials is used in teacher education, commonly for demonstration of good practices or as a reflection tool for teacher professional development. However, video cases can never fully replicate the complexity of working in a real classroom. Watching…