We share the impact different models have on students' fraction thinking. We have come to understand, through several teaching experiments, how fraction circles, paper folding and number lines support students' learning about key fraction ideas including the role of the unit, partitioning, and fraction order.

This paper examines the extent to which teacher factors of the dynamic model of educational effectiveness can explain variation in student achievement in mathematics. It also searches for the extent to which any of these factors matters more for academically resilient students than for all the other low-socioeconomic-status students. Participants…

In a social cognitive framework, teacher feedback is a relational influence that is particularly significant in shaping learners' vocational self-concept during childhood--a critical stage for career development. This study examines the relationships among perceived teacher feedback, children's competence perceptions, interests, and achievement in…

Background: Problem-solving as a vehicle to develop independent thinking skills is mostly underestimated and is often either overlooked or not given adequate attention within the existing South African mathematics curriculum. Consequently, numerous learners often display limited skills or lack skills to adequately crack Mathematics problems by…

Purpose: This paper aims to describe the statistical arguments produced by third-grade students (8-9 years old) and to identify the teaching support for collective argumentation in a lesson based on data comparison. A Lesson Study Group researched and planned the lesson around a problem from the official mathematics textbook.…

Mathematical learning has an important role and is often prioritized in education. In K-16 education, algebra is one of the most vital mathematical content domains: it represents one of the top barriers for students pursuing a postsecondary education. Game-based learning has been effective in fostering classroom math learning environments that are…

Mathematical fact fluency, particularly in addition and subtraction, is crucial for students' success in later mathematical concepts and is often a focus of elementary education. Educators are exploring tools to enhance math fluency, such as Reflex Math, a digital program designed to accelerate students' fact fluency through adaptive learning…

This study aimed to investigate the effectiveness of the virtual lab in teaching mathematics and its impact on the development of mathematical power and tendency towards mathematics among fourth-grade students in the Kingdom of Bahrain. To achieve the study's objectives, a quasi-experimental approach was employed. The sample consisted of 64…

This action research study in a North Dakota public school addresses the need for effective professional development (PD) to enhance instruction and academic outcomes for mathematically promising learners. Despite annual PD investments, concerns persist regarding the limited efficacy of short-term workshops (Knight & Skrtic, 2021; Kraft et…

Multiple-select multiple-choice items, or multiple-choice items with more than one correct answer, are used to quickly assess content on standardized assessments. Because there are multiple keys to these item types, there are also multiple ways to score student responses to these items. The purpose of this study was to investigate how changing the…

In this study, a sample (N = 55) of preservice elementary teachers were asked what it takes to be good at math and whether or not they seem themselves as 'do-ers' of math. An examination of their responses to both a Likert Scale and corresponding open-ended questions revealed five key themes: "having a good attitude, being a good student,…

Few studies have explored school-level effectiveness and teachers' mathematics instruction within classrooms simultaneously. This study used multiple data sources, including classroom observations and teacher interviews, to understand the mathematical classroom learning environments, and teachers' perceptions and expectations about their students…

This study explored the long-term academic impact of Two-Way Dual Language (TWDL) programs on both English-dominant and Spanish-dominant Hispanic students in a high-density Hispanic area. Specifically, it compared their academic performance in English Language Arts (ELA) and Math over a 3-year period to that of students enrolled in traditional…

Emotions are essential for the development of professional competence and identity of pre-service teachers. Thus, they can also be seen as an inherent part of teachers' professional competence and identity. They also influence teachers' later emotional experience when teaching at school. Mathematics, especially, triggers activating emotions in…

In this article, the authors describe the Show-Me Narrative (SMN) assignment and its implementation in mathematics for elementary teacher courses taken early in elementary preservice teachers' (PSTs') teacher professional coursework. The authors present evidence of ways the SMN supports PSTs' understanding and enactment of the core teaching…