Low mathematics achievement in the United States has led to a push to increase the quality of mathematics instruction. Policy efforts in mathematics have typically focused on increasing teachers' mathematical content knowledge (MCK), with the goal of increasing teacher quality, and in turn increasing student mathematics learning. While research…

This study aims to develop a valid and reliable measuring instrument that can measure the level of mathematical language used by students and their teachers during the teaching of fractions to fourth-grade primary school students. This study is a methodological validity and reliability study. In total, 999 students from fourteen different…

This study's 1st purpose was to investigate effects of a 4th- and 5th-grade "next-generation" fraction intervention, which included 6 enhancements over a previously validated fraction intervention, designed to address Career- and College-Readiness standards. The next-generation intervention is referred to as "Super Solvers."…

Young children's early math experiences are culturally situated, occurring in the context of everyday family interactions and routines. Yet, we know little about the math experiences in culturally and linguistically minoritized families, including those from Latine communities. In this article, we provide the first review of research on family…

Purpose: The purpose of this paper is to explore students' mathematization through a flow of lessons using the Thailand Lesson Study Incorporated Open Approach (TLSOA) to improve the excellence of instruction. Design/methodology/approach: A total of 16 Grade 4 students were selected because they have been taught using the TLSOA model for four…

The present study aimed to test the effect of the problem-posing instruction experimentally based on the extended active learning framework on the development of Turkish middle school sixth-grade students' (N = 19) problem-posing and -solving skills with whole-number operations. The training programme was completed in 13 lessons over a seven-week…

Traditional mathematics instruction often fails to address the diverse learning needs of students, leading to frustration and disengagement. This study proposes personalized learning, emphasizing sequential learning, diagnostic assessments, and technology to tailor instruction. This research examines the potential of personalized learning to…

This article presents a case study and ideas to flip classical dialogic learning method. Some possibilities of using ChatGPT to stimulate the active role of the student in the dialogic teaching method are shown. Data from observations of students training to be teachers of mathematics and informatics in their work with artificial intelligence (AI)…

This study examines language demands in undergraduate university mathematics classes with a view to better preparing and supporting international and other culturally and linguistically diverse (CLD) students in the United States universities. We observed and analyzed the language demands of 13 entry-level mathematics classes across two large…

Assessment is often used to promote learning, but the mechanisms of how assessment relates to epistemology -- knowledge and knowing -- have been scarcely studied and theorised. In this study, we examine students' epistemic resources in relation assessment in the context of university mathematics education. We draw on the theoretical framework of…

Statistics has been a content domain in the mathematics curriculum for decades. However, statistics is a distinct discipline from mathematics and there are important differences in how one should teach the two disciplines. In this article, the authors consider how these differences can inform an adaptation to the 5 Practices for Orchestrating…

These educators share the "how" and "why" behind their use of open middle tasks in the classroom. In this article, the authors share a type of mathematics task, called Open Middle, that exhibits the characteristics outlined above. The authors frequently use Open Middle tasks in their classrooms because they teach students that…

Area should be experienced, not simply calculated. This task invites students to physically experience areas and the spatial relationships between them, as well as their own community.

Traditionally, cluster randomized controlled trials are analyzed with the average intervention effect of interest. However, in populations that contain higher degrees of heterogeneity or variation may differ across different values of a covariate, which may not be optimal. Within education and social science contexts, exploring the variation in…

Society is in an incessant process of reflection, but the educational system is not following the same path, creating an urgent need for a quality educational renovation in which new methodologies, approaches and educational resources are developed based on creation, collaboration and learning by doing. In this sense, the integrated education of…