Recent research suggests that using additional teachers to provide small-group instruction or tutoring substantially improves student learning. However, treatment effects on test scores can fade over time, and less is known about the lasting effects of such interventions. We leverage data from a Norwegian large-scale field experiment to examine…

Bringing together the research of leading international scholars in the field of digital learning, "Designing Effective Digital Learning Environments" discusses cutting-edge advancements in digital technology and presents an evidence-informed summary of best practices for effective design principles and implementation within educational…

The literature has shown that preservice elementary school teachers (PSTs) struggle to adequately attend to a number's multiplicative structure to determine divisibility. This study describes an intervention aimed at strengthening preservice and in-service teachers' procedural knowledge with respect to using a number's prime factorization to…

The primary goal in this study was to examine maternal support of numerical concepts at 36 months as predictors of math achievement at 4.5 and 6-7 years. Observational measures of mother-child interactions (n = 140) were used to examine type of support for numerical concepts. Maternal support that involved labeling the quantities of sets of…

This paper reports on combining semiotic and discursive approaches to reification in classroom interactions. It focuses on the discursive characteristics and semiotic processes involved in the teaching and learning of square roots in a ninth grade classroom in Japan. The purpose of this study is to characterize the development of mathematical…

Data indicate that children with disabilities typically display lower levels of proficiency in mathematics than their nondisabled peers, with this difference remaining stable over time. Although literature exists regarding school-age children, few studies have examined early numeracy skills of preschoolers and child characteristics associated with…

Classroom observations have been increasingly used for teacher evaluations, and it is important to examine the measurement quality and the use of observation ratings. When a teacher is observed in multiple classrooms, his or her observation ratings may vary across classrooms. In that case, using ratings from one classroom per teacher may not be…

The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…

Eight middle school mathematics teachers' perceptions and uses of curriculum materials and the Common Core State Standards for Mathematics (CCSSM) were investigated. Adapting a noticing framework and models of dialogic instruction and direct instruction, teachers' noticing practices with curriculum materials and the CCSSM when planning, enacting,…

The radius of curvature formula is usually introduced in a university calculus course. Its proof is not included in most high school calculus courses and even some first-year university calculus courses because many students find the calculus used difficult (see Larson, Hostetler and Edwards, 2007, pp. 870- 872). Fortunately, there is an easier…

An alternative means of exploiting the benefits of children's storybooks when teaching primary mathematics is to be led by the story, rather than by the curriculum. This is referred to as a narrative-first approach, and contrast it with a curriculum-first approach (Russo & Russo, 2017e). The narrative-first approach involves first identifying…

Bringing an awareness of emotions to the fore through mindfulness-based breathing and providing a space to discuss them is a way of promoting teacher and student agency in collectively developing structures specific to their learning environment. The authors explore students', teachers', and researchers' collective sensemaking through cogenerative…

Various efforts are underway to improve achievement in high-stakes examinations in school mathematics. This article reports on one such initiative which focuses on the development of quality teaching of school mathematics by embedding it within an examination-driven emphasis. A quantitative approach was used to analyse the performance of Grade 10…

This article focuses mainly on two key mathematical processes (representation, and reasoning and proof). Firstly, we observed how teachers learn these processes and subsequently identify what and how to assess learners on the same processes. Secondly, we reviewed one teacher's attempt to facilitate the learning of the processes in his classroom.…

Grading is one of teachers' greatest challenges and most important professional responsibilities. Educators are unclear on whether standards-based grades or traditional-based grades do a better job of accurately reflecting what students have learned, so the purpose of this study was to understand the relationship between classroom grades and…