This qualitative study explores the relationships between group work on open-ended geometrical tasks and the physical and social environments in which they take place. Two groups of twelfth grade students worked on two open-ended geometry tasks. One group worked face-to-face (f-f), and one worked synchronously online. Products of the group work…

Assessments built on a theory of learning progressions are promising formative tools to support learning and teaching. The quality and usefulness of those assessments depend, in large part, on the validity of the theory-informed inferences about student learning made from the assessment results. In this study, we introduced an approach to address…

Based on many researches, there is negative relationship between mathematics anxiety and achievement. However, there is no study about mathematics anxiety and achievement in Malaysian foundation centers. This research studied the impact of Lesson Study (LS) on mathematics anxiety and achievement of students in a Malaysian university. A total of…

Researchers have been interested in students' transition to calculus since the early 1900s. One line of inquiry highlights students' understandings of high school mathematics as impeding or supporting their successful transition to university mathematics. This paper addresses an underlying question in this line of inquiry: does school mathematics…

This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the uppersecondary level in Sweden. The study applies the theoretical "hypothetical learning trajectory" (HLT) framework combining "conceptual" and "procedural" knowledge. The…

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…