This report presents findings from an evaluation of the Air Tutors math program during the 2023-24 school year in two school districts: District A in Colorado and District B in Texas. It examines student participation rates and the program's impact on math achievement as measured by both state standardized summative assessments and district-level…

This study posits mathematics as a fundamental methodological framework for navigating the complexities of multidisciplinary research. It argues that the increasing prevalence of real-world problems demands the integration of knowledge from diverse scientific fields, where mathematics, particularly through the method of analysis and synthesis,…

Questions regarding the construction of mathematical authority have implications for learning, specifically for students' views of themselves as mathematics learners and doers with valuable contributions. We consider the ideas proposed by eight first-grade students who had the most airtime during 12 lessons of a classroom teaching experiment. We…

The importance of constructing mathematical arguments and critiquing the reasoning of others has been emphasized as a key component for deep mathematical understanding. As a result, acknowledging proof as an essential tool to comprehend mathematics at all grade levels has been suggested by many researchers as well as reform initiatives. To do so,…

The aim of this study was to develop, implement, and evaluate an intervention program focusing on developing Grade 5 and 6 students' functional thinking. The innovative aspect lies in addressing simultaneously various aspects of function--input--output, covariation, correspondence, and object--in terms of manipulating tasks that involve functional…

This study examined the longitudinal changes in kindergarten demographics and child outcomes by comparing data from the Early Childhood Longitudinal Survey (ECLS-K) 1998 and 2011 cohorts. Results demonstrated that there were significant changes in kindergarten in general and with regard to FDK and HDK schedules between 1998 and 2011. These…

Culture-based mathematics learning (C-bMLI) has emerged as a promising approach to improving students' mathematical skills, yet previous research presents inconsistent findings regarding its efficacy compared to conventional methods. To address this gap, a meta-analytic study is needed to consolidate and present the latest insights regarding the…

Running two separate two-stage randomized trials, we implement and test three variants of a small group instruction intervention aimed at improving mathematics competencies for the 20% lowest achievers in mathematics in grades 2 and 8 in Danish public schools. We calculate immediate impacts on math competencies as well as impacts in the medium…

As early as first grade, some children are more likely than others to perform arithmetic using inefficient or other overt counting strategies. To partially address this problem, the primary investigator developed a skill hierarchy with procedures based on applied behavior analysis. The novel early-intervention program included a combination of…

The development of high levels of mathematical competence at an early age is a good predictor of academic success at higher levels of the education system. In this sense, the initial training of primary school teachers and, in particular, the achievement of high levels of self-regulation when solving mathematical problems is crucial to achieve…

Enhancing understanding is crucial for "all" students. Instructional approaches have been developed to achieve this goal, yet little is known about the kind of support that teachers need for their effective implementation. We compare two support conditions designed to enable teachers to enhance students' understanding of the mathematical…

This theoretical article examines the crucial role of play-based learning (PBL) in enhancing the mathematical skills of children in the Early Childhood Phase, referred to as Foundation Phase (Grade R-3) learners, within a South African context. The article argues that the traditional approach to teaching early childhood mathematics, where teachers…

The objective of the study was to use mortar to teach the concept of the surface area of a cylinder. The target group included knowledgeable Akan traditional artists, seasoned mathematics teachers, and senior high school students from the Ashanti Region in Ghana. Data collection tools included Focus Group Discussions and interviews, with informed…

Students with disabilities often face significant challenges in developing mathematical problem-solving skills, which are critical for academic success. Traditional problem-solving interventions have primarily focused on skill acquisition, leading to issues with knowledge application in real-world contexts. Enhanced Anchored Instruction (EAI)…

Background: ChatGPT, an AI-based chatbot, supports learning by accurately interpreting and responding to user inputs. Despite its potential, few empirical studies have examined its influence on college students' mathematical problem-solving processes. Objectives: This study aimed to introduce a ChatGPT-facilitated scaffolding to investigate its…