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…

High school chemistry is essential. Every citizen needs basic chemistry background to understand current events, and millions more can benefit from further study. Nevertheless, students do not always continue learning chemistry, even when they could do so. The loss of potential learning is significantly more common for girls, economically…

Student focusing and noticing, which drive reasoning, are important but under researched aspects of student learning. Quadratic functions representations are perceptually and conceptually complex and thus, offer much for students to focus on and notice. Our study compared a teacher's goals for student focusing and noticing during quadratic…

In the era of 21st century learning, many secondary students with learning disabilities continue to struggle with mathematics problem solving. Emerging evidence suggests self-regulated strategy development can be combined with existing evidence-based and promising practices during mathematics instruction. These practices include explicit…

Cognitive development of eighth-grade students, as identified by Jean Piaget, occurs during a time when many of them are transitioning between concrete operations and formal operations where the ability to think in abstract concepts becomes possible. Because of this period of transition, many eighth-grade students find difficulty in demonstrating…

As soon as a new technology emerges, the education community explores its affordances and the possibilities to apply it in education. In this article, we analyze sessions with ChatGPT around topics in basic linear algebra. We reflect on the affordances and changes between two versions of ChatGPT since its worldwide publication in our area of…

This paper demonstrated how to apply Machine Learning (ML) techniques to analyze student interaction data collected in an online mathematics game. Using a data-driven approach, we examined 1) how different ML algorithms influenced the precision of middle-school students' (N = 359) performance (i.e. posttest math knowledge scores) prediction and 2)…

This article examines high school graduation rates and Algebra I proficiency rates in a large urban school district in Maryland. The article approaches the problem of low minority graduation and Algebra I proficiency rates from a critical race theory perspective. The article challenges the school district's received narrative that it is doing well…

We provide a detailed description of a purposefully sampled tutoring session during which a student with a learning disability displayed common tendencies we have seen in our work on algebra teaching. The student struggled with solving equations in general and especially with distribution and knowing how to distribute terms and what steps to take…

The widespread of online education is clear and the demand for online education is increasing rapidly, so the quality of offered online courses is urging. During COVID-19 restrictions, unprepared institutions, instructors, and students for online education were clear, especially in STEM. So there is a need for more research on online mathematics…

This paper explores how a professional learning community (PLC) redesigns high school mathematics lessons towards a shared commitment. We describe the nature of a PLC's collective curricular vision to illuminate how teachers can come to new understandings as a group in order to shift the ways students experience mathematics. Using the curricular…

In response to the large number of high school students entering community colleges in the United States who are not prepared to begin college-level mathematics courses, and the poor success rates of students enrolled in the traditional prerequisite developmental courses that have been required for such students for many years, national attention…

This research aimed to determine the difficulties that the students experience in inequality solutions that contain inequality in general and rational (proportional) expressions, and to solve these difficulties with an activity. Totally 108 students, who were enrolled in the Department of Mathematics and Science Education, consisted respectively…

This study explored the mathematics achievement profiles of the countries participating in TIMSS 2015 based on the TIMSS assessment framework categories. More specifically, observed and expected performances of countries in the framework categories were compared to determine the relative strengths and weaknesses of countries in the respective item…

Owing to the importance of a subject like mathematics in the teaching and learning of science, self-learning often poses a challenge to the educator. The objective of this study is to analyse the enhancement of the textual and the media form of self-learning modules to teach algebra and geometry to eighth graders considering their retention…