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…

This study explores calculus students' opportunities to learn the concepts of integral by examining one mathematician's videotaped lessons and the textbook. Results show that both lessons and the textbook introduce important cognitive resources briefly and focus on other units of knowledge. Implications to these results are also discussed.

This paper details a literature review of mathematics vocabulary intervention studies for students with mathematics difficulty. The primary aim was to identify instructional practices that support mathematics vocabulary development. We conducted a database search to identify mathematics intervention studies either focused exclusively on vocabulary…

Students with disabilities (SWD) have consistently been excluded in science in science classrooms. As inquiry-based instruction is the preferred method of science instruction, finding the best ways to teach using inquiry as an inclusive methodology is essential. The Science Writing Heuristic (SWH) is an argument-based inquiry approach that has…

In our mathematics methods courses for elementary preservice teachers, we work to uncover and confront students' understandings as well as misconceptions about important mathematical topics. Karp and colleagues' ("Teaching Children Mathematics", 21(1), 18-25) "13 Rules That Expire" article has been a useful resource for us to…

We further conceptualize the work of responsive teaching by contrasting it with a type of teaching we call endorsing. We define responsive teaching as a type of teaching in which the teacher: (a) ensures students' ideas are the genesis of ways of reasoning that are eventually taken up by the classroom community; and (b) continually assesses and…

Inquiry-based lab experiences have been shown to be more effective than traditional lab experiences. Students' perceptions of the types of thinking required in science lab settings have implications for interest and persistence. This study compares students' perceptions about the thinking required in traditional and inquiry laboratory settings.…

This study presents the preliminary qualitative results of a larger mixed methods study. The qualitative phase utilized task-based clinical interviews to examine the non-symbolic and symbolic linear generalizations of middle-grades students. This investigation identified similarities and differences in the students' generalizations, and…

As the world becomes increasingly rooted in all forms of inequities, so does the need to fight its causatives. This study is concerned with ensuring that science education serves to reinforce gender equity against traditional narratives. We explored the potency of culturo-techno-contextual approach (CTCA) in leveling the playing field while…

When we look at the theoretical relationships between the three types of geometry, we find that the most primitive type is topology and that both Euclidean and projective geometry are derived from this earlier type. Therefore, Piaget described the first stage or level of understanding geometry as topological understanding. In this study, the…

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…

The goals of science education include providing students with real-world learning experiences that connect directly to learning objectives and deepen student interest in science. Learning experiences that occur outside of the science classroom can help science educators respond to these goals. To encourage the use of learning environments beyond…

Even though the "Next Generation Science Standards" (NGSS) were released over a decade ago, science is still infrequently taught in early childhood and elementary classrooms. A lack of teacher confidence due to inadequate content knowledge may be a contributing factor, making access to high-quality elementary science methods courses even…

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…