Experienced teachers, researchers and mathematics community members, contributed to the documentation of the professional vocabulary of teachers to describe the pedagogical practice of the middle school mathematics classroom. In this paper we use this Australian Lexicon to study which terms teachers deem essential for their classroom practice. We…

This descriptive study attended to the extent to which we see evidence of the presence of four practices that promote equity and access in 141 grades 3-8 mathematics lessons in the United States. We found that lessons generally showed evidence of some incorporation of the practices but often not at the highest level. Teachers in this sample…

This study aims to investigate the effect of history-of-mathematics activities on the development of mental computation of middle-grade students and to determine the students' views on the history of mathematics. This study was carried out as an action research project. The participants of the study consisted of 19 seventh-grade students studying…

After PISA 2009, Shanghai education has received unprecedented attention from home and aboard. The government in Shanghai summed up the successful experience and launched the New High-Quality Schools (NHQS) project as a response. Under the policy background of promoting high-quality and equitable compulsory education in China, the NHQS project…

This preliminary study examined whether distinct student profiles (N = 760) emerged based on their behavioral patterns in an online algebraic learning game. We applied k-means clustering analysis to clickstream data collected in the game and then examined how students' behavioral patterns varied across the clusters using data visualization. The…

As more educators integrate their curricula with online learning, it is easier to crowdsource content from them. Crowdsourced tutoring has been proven to reliably increase students' next problem correctness. In this work, we confirmed the findings of a previous study in this area, with stronger confidence margins than previously, and revealed that…

This study aims to explore seventh-grade students' understanding of negative integers as they engaged in mathematics history integrated model-eliciting activities in small groups. For this educational case study, we designed model-eliciting activities based on six design principles of the models-and-modeling perspective that incorporated history…

We examined how six gifted boys perceived the onset and development of their academic underachievement and what they identified as contributing aspects. Across the six boys' experiences, a similar pattern of onset and development of academic underachievement emerged. The boys discussed a lack of academic challenge, investment in hobbies, issues…

Increasing the quality and effectiveness of education and training, contributing to the social, political and economic structure of the countries is something that educators and educational policy makers are always working on. Increasing the quality of education and training nowadays can be achieved with the development of 21st century skills in…

Students' opportunities to struggle with mathematical ideas have long been considered paramount to learning. However, there's little research on how teachers; (1) draw on and make sense of the discourses of perseverance; (2) enact it in classroom; and (3) develop an expansive view of perseverance. To contribute to these lines of research, we build…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

This study explored a place-based summer enrichment offering for gifted rural students through the lens of a critical pedagogy of place (Greenwood, 2003). To ameliorate well-documented opportunity gaps for rural students, we established a residential camp on our university's campus where middle school students engaged in STEM and humanities…

We investigate the beliefs that influence middle and high school algebra teachers' appraisals of contextual problems having diverse mathematical and pedagogical features. We asked six teachers to analyze six contextual algebra tasks and indicate how they would apportion instructional time among the six tasks based on their structure, pedagogical…

We investigated the effects of in-game learning supports' timing in a game called Physics Playground where we randomly assigned 149 students (M[subscript age] = 14, SD = 0.96) to receive learning supports either Before (n = 50) or After (n = 46) playing game levels--a no-support Control (n = 53) condition was included. We found that students…

Developing models and using mathematics are two key practices in internationally recognized science education standards, such as the Next Generation Science Standards (NGSS). However, students often struggle with these two intersecting practices, particularly when developing mathematical models about scientific phenomena. Formative…