This study reports an analysis of inductive reasoning of Mexican middle school mathematics teachers, when solving tasks of generalization of a quadratic sequence in the context of figural patterns. Data was collected from individual interviews and written answers to generalization tasks. Based on Cañadas and Castro's inductive reasoning model, we…

This paper presents a case study that is part of a research studying how university statistics teachers integrate digital tools in their practice. The case study is of a teacher who claims to follow constructionist ideas for her teaching of statistics, using the R programming language. The teacher developed a series of activities with R, aiming to…

By applying a conversation analytic approach to analyze the fine-grained manifestation of authority in classroom interaction, we examine the interaction between a teacher and a student while the student presented a solution at the whiteboard. This case highlights the complexity of shared authority and the ways that authority is construed by…

The present study was conducted to compare the effectiveness of Geometer's Sketchpad (GSP) learning in two-dimensional shapes. This study was designed as a quasi-experiment which involved 60 students of class VII in SMP Negeri 1 Ngoro, Mojokerto, Indonesia. The sample in study was divided into two groups, mainly 30 students are the experiment…

In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual activity sheets. Using both personal experience and those of teachers in real K-grade 12 online classrooms, distance learning…

The design of the Cognitive Tutor Algebra I (CTA1) intelligent tutoring system assumes that students work through sections of material following a pre-specified order, and only move on from one section to the next after mastering the first section's skills. However, the software gives teachers the flexibility to override that structure, by…

"Catalyzing Change in Middle School Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School Mathematics: Initiating…

Use of online credit recovery is a growing trend across the country, with the hope that expanding credit recovery options through online courses will help students get back on track toward graduation (e.g., Atkins, Brown, & Hammond, 2007; Gemin, Pape, Vashaw, & Watson, 2015). But expanded use of online credit recovery for high school…

Ethnomatemics-based mathematics concept implementation can be carried out through constructivism-based learning such as realistic mathematics, problem-based and learning with a scientific approach. This research purpose to explore the form of ethnomatemics on the woven cabbage leaves of the Tutuwaru community and analyze the process of…

In this paper, we focus on the design of assessments of mathematics teachers' knowledge by emphasizing the importance of identifying the purpose for the assessment, defining the specific construct to be measured, and considering the affordances of particular psychometric models on the development of assessments as well as how they are able to…

Educators and policymakers envision high school mathematics as vital in the pursuit of Science, Technology, Engineering, and Mathematics (STEM) professions and a way to cultivate a deep appreciation of mathematics in society. With two such significant aspirations, there is advocacy for expanding the traditional course offerings in high school…

Black children are brilliant. They are infinitely capable of learning. However, as a result of the racialized sociohistorical contexts of schools and teaching, Black students are rarely seen as brilliant or perceived as capable in classrooms. Thus, professional development must create and structure opportunities for teachers to learn to notice and…

Completing a post-secondary degree is crucial to being competitive in the current job market. By 2020, the majority of all jobs in the United States require post-secondary education and training; however, barriers to access and attainment exist among individuals working to obtain post-secondary degrees, and there is an overall slowdown in…

College students often view statistics as challenging and unpleasant to learn (Ben-Zvi et al., 2017). Digital games designed for educational purposes have been found to be effective for promoting statistics learning and motivation to learn statistics (e.g. Boyle et al., 2014). However, research is currently lacking on the best practices for…

Struggling with mathematics is important for several reasons. According to learning theorists and empirical studies, the act of struggling can help students learn mathematics. Also, several important mathematics education documents advocate that students should engage in struggle as part of the problem-solving process. In addition, being able to…