Background. Placement in developmental education in college is associated with negative effects on credits earned, course achievement, and degree attainment (Valentine, Konstantopoulos, & Goldrick-Rab, 2017) and requires substantial investments with costs to students and institutions estimated at $1.3 and $7 billion (Ganga, Mazzariello &…

Teacher's noticing of students' mathematical thinking has been an important focus of research in the past two decades (e.g., Jacobs et al., 2010; Sherin et al., 2011). Noticing matters, but it is not an end in itself (Schoenfeld, 2011). It is operationalized within the context of teachers' dispositions and knowledge which shape decisions teachers…

Low achievement in mathematics begins long before students arrive at college. National data shows that between 60% and 75% of high school seniors in the U.S. are underprepared for college-level mathematics and may end up enrolling in developmental mathematics. Developmental mathematics refers to mathematics courses taken in college that are…

The purpose of this mixed methods study was to evaluate the impact of a growth mindset theory (GMT) intervention on struggling 9th grade math students. The intervention consisted of training students on GMT concepts and teaching through four GMT strategies. This study examined the perspectives of the students through a survey about mistakes in…

High school students in today's modern educational system are expected by educational authorities to demonstrate mathematical proficiency in both procedural fluency and conceptual understanding. Since the shift to Common Core Mathematics, the focus of mathematical pedagogy has shifted from procedural to conceptual, presenting difficulty for…

This study examines how a models-and-modeling perspective affected teachers' attention to quantitative reasoning in task design. A Model-Eliciting Activity (MEA) was implemented with 21 teachers over four weeks, challenging teachers to design a quantitative reasoning task for their students. Teachers' initial quantitative reasoning tasks did not…

In this study, it is primarily aimed to determine the qualities of the problems posed by the students in a mathematics class delivered through the problem-posing approach and to examine the mean scores of the students obtained from these qualifications. The linear equations topic at the seventh grade was taught using the problem-posing approach.…

The aspiration of this paper is to develop a novel approach towards investigating the socio-political history of mathematics teaching in educational systems. Traditionally, historical studies are confined to just one country, the author's country. Broader approaches address international developments by confronting and comparing global and local…

Most studies on the subject have investigated relations between home math activities and child math skills, without paying much attention to the specific skills that such activities foster and their alignment with children's math assessments. The present study examined specific relations between subdomains of home math activities and children's…

Literature reviews about pedagogical innovations are of importance to determine further interventions for learning refinement and future research directions. The present study describes existing pedagogical innovations, identifies learning problems underlie the innovations, and outlines development models used for developing elementary mathematics…

Fractions are a very important but difficult topic in elementary and secondary mathematics curricula around the world. The difficulty in teaching and learning fractions is usually caused by their various subconstructs. To facilitate learning of fractions, a test consisting of 20 items was developed to examine 310 sixth graders' hierarchical…

In this paper, we list some of the areas of the Australian curriculum that have links with the concept of infinity. We do this in order to promote a discussion about what aspects of infinity should become familiar to primary teachers. From our viewpoint, infinity has connections with Algebra, Art, Geometry and Measurement, Probability, Science and…

In this survey paper we aim to provide an overview of research on mathematics textbooks and, more broadly, curriculum resources as instruments for change related to mathematical content, instructional goals and practices, and student learning of mathematics. In particular, we elaborate on the following themes: (1) The role of curriculum resources…

In the article 'How Long Is My Toilet Roll--A Simple Exercise in Mathematical Modelling' several models of increasing complexity are introduced and solved to calculate indirectly the length of paper on a toilet-roll. All these results are presented without errors. The authors of this comment believe the error analysis of measurements made in a…

The COVID-19 global pandemic has required everyone to make sense of data about community spread, levels of risk, and vaccine efficacy. Yet research shows that students are underprepared in data literacy. Tanya LaMar and Jo Boaler argue that data science education provides an opportunity to address this problem while providing much needed updates…