Educators must balance the needs of students who start the school year behind grade level with their obligation to teach grade-appropriate content to all students. Educational software could help educators strike this balance by targeting content to students' differing levels of mastery. Using a regression discontinuity design and detailed…

The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not…

The "Scaling Teachers' Professional Development for ASSISTments: Evaluation Final Report" examines how a virtual professional learning community (vPLC) and immediate, elaborated feedback during independent math practice supported teachers in enhancing formative assessment practices, fostering sustained collaboration, and improving…

This paper belongs to a field of research that has appeared comparatively recently, namely, the study of mathematics competitions. The paper utilizes historical-theoretical methodology and is devoted to changes in the way in which mathematics competitions have been conducted in Russia in recent decades. Mathematics competitions, like mathematics…

The definition of function varies from textbook to textbook at the introductory level. Though the definitions are often mathematically equivalent, there are linguistic features that may make some definitions more accessible to beginning learners. In particular, students who see functions as actions or processes rather than objects may be better…

Different developmental mathematics programs are offered at various institutions across the United States. Many vary from state to state, and even college to college within states. One of the designs that has emerged as a frontrunner is the co-requisite model. This pilot study builds on previous success of the model by exploring the effect of pass…

The purpose of this case study is to investigate the triggers of unexpected (contingent) moments during one in-service primary teacher's teaching of the measurement of length and perimeter, to identify this teacher's responses to these moments, and to examine how these responses change the flow of the measurement of length and perimeter…

Quadratic functions are explained in the three equivalent formats: Standard (or Expanded), Vertex and Factorised. However, cubic functions are represented only in the two equivalent formats: Standard (or Expanded) and Factorised. In this article, the author shows how cubic functions can be expressed in three equivalent formats like quadratic…

This article builds on the work of Professor Robyn Jorgensen and Associate Professor Peter Games and others on social justice and mathematics and links to the Ethical Understandings capability of the "Australian Curriculum." Presented in this paper is an argument for the importance of a social justice approach to teaching mathematics,…

The aim of this study was to investigate the effects of modelling, collaborative and game-based learning on geometry success in third-grade students. These approaches were applied to geometry instruction in nature on the success of students in geometry. The students' views about geometry activities were also examined. Explanatory design, one of…

Positive findings regarding integrated curriculum in the classroom setting (Chen & Yang, 2019; Kurt & Pehlivan, 2013; Vars, 1996) and movement integration during the school day (Donnelly et al., 2009; Duncan, Birch, & Woodfield, 2012; Mahar et al., 2006; Reed et al., 2010), suggest a movement-based setting, such as physical education,…

Despite the function concept being fundamental to mathematics, an adequate understanding of this concept is often lacking. This problem is prevalent at all levels of education and is reported in many countries. This article reports on a new pedagogical strategy based on exploring photographs or digital images as functions. The objective of this…

Mathematics educators view the equals sign as a bidirectional relation symbol, but the authors have observed that students might not have such flexibility in their understanding of the equals sign. The authors have observed that students have a hard time viewing mathematical properties (for example, log (MN) = log (M) log (N)) with bidirectional…

One important aspect of teaching is reviewing tasks in preparation for instruction. The goal of the multicase study of four secondary teachers was to examine the interplay between their mathematical knowledge for teaching [MKT] and what they attend to when reviewing a mathematics task. We engaged secondary mathematics teachers in a…

Mathematics textbooks sometimes present worked examples as being generated by particular fictitious students (i.e., "person-presentation"). However, there are indicators that person-presentation of worked examples may harm generalization of the presented strategies to new problems. In the context of comparing and discussing worked…