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…

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…

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…

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.

Determining the most appropriate method of scoring an assessment is based on multiple factors, including the intended use of results, the assessment's purpose, and time constraints. Both the dichotomous and partial credit models have their advantages, yet direct comparisons of assessment outcomes from each method are not typical with constructed…

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…

This study sought to explore math and science teacher educators' use of various media to represent practice within methods courses. There is little understanding of why certain media is used over other representations and the rationale for these choices. Specifically, the study focused on the prevalence and familiarity of teacher educators with…

The purpose of this study was to examine mathematics preservice teacher (PST) learning to notice for equity as they participated in an experimental, practice-based methods course. Activities intended to support PST learning included the use of equity-based lenses in video analysis, live lesson observations, and case study analysis. We analyzed…

Guided and open inquiry strategies are found to improve students' attitudes toward science. Yet, confirmation and structured inquiry are more often enacted by teachers. The effectiveness of these approaches involving high teacher guidance remains unexplored. Students in six classes (N = 119, M[subscript age] = 11.25 years) were assigned to control…

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…

While research in mathematics education has shown that mathematics assessments are highly consequential, traditional assessments often lag behind advancements in instructional methods. One such advancement is the promotion of mathematical habits of mind such as students' abilities to critique others' reasoning. This study explored the use of…

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.…