This study investigated how three fifth-grade students' understanding of fraction and decimal magnitude evolved over the course of a five-week teaching experiment. Students participated in teaching and learning sessions focused on developing concepts of fraction and decimal magnitude. The following questions guided this study: (1) How do fifth…

The purpose of this qualitative descriptive study is to examine how 3rd-8th grade teachers describe their use of educational technology for experiential learning in mathematics in the Southwestern United States. David Kolb et al. (2001) experiential learning theory guided the two research questions on the level of use and how teachers described…

This study aims to present the potential of Participatory Action Research (PAR) to bring together the experiences of teachers and researchers with the intention of improving teaching practices and students' learning outcomes. Participants in the study were 7 teachers, their 160 fifths grade students, and researchers (authors). Teachers and…

With the changing students' generations and education content as well as modernization of educational technologies, various technical solutions are increasingly used by the teachers to supplement daily classroom activities. One of the novelties introduced in Lithuania in 2013 -- ActivInspire system -- was oriented towards mathematics and science…

Engaging students in self-reflection about their learning performance is a potentially promising pedagogical approach for supporting math learning. However, it is unclear how models for math learning in regular classrooms translate in a virtual environment. The purpose of this paper is to (a) analyze rich assessment data from virtual schools to…

This paper describes an emerging approach to the design of task sequences to promote reflective abstraction. The approach aims at promoting particular mathematical understandings. Central to this approach is the identification of available student activities from which students can abstract the intended ideas. The approach differs from a…

Studies have reported that pre-service teachers often enter teacher preparation programs with beliefs and attitudes not conducive to teaching the subject conceptually. In the USA, the Common Core State Standards for Mathematics have brought a renewed focus on procedural and conceptual understanding. However, many U.S. pre-service teachers have…

This paper seeks to illuminate teachers' perceptions of the challenges and benefits of systematically examining students' thinking as part of a professional development program in elementary mathematics education. Using a framework of models of conceptual change and principles of discomfort, three elementary teachers' perceptions of their…

This study sought to identify components of an asynchronous online teacher professional development program, "Prime Online," that potentially affected participants' mathematical knowledge for teaching (MKT). Twenty-three third- through fifth-grade general education and special education teachers completed a yearlong online teacher…

Just as ready-made clothes may not provide a perfect fit for all bodies, math lessons may not be a perfect fit for all students. Published instructional tasks, including problems in mathematics textbooks, often need to be tailored to be meaningful, relevant, or accessible to each student. Ways are possible to take high-level reasoning tasks and…

The Institute of Education Sciences (IES) publishes practice guides in education to bring the best available evidence and expertise to bear on current challenges in education. Authors of practice guides combine their expertise with the findings of rigorous research, when available, to develop specific recommendations for addressing these…

The authors, in a nonexperimental randomized study, used national data from the Early Childhood Longitudinal Study-Kindergarten Cohort (ECLS-K) to examine present instructional practices for Grade 5 mathematics classrooms and its impact on achievement for White non-Hispanic non-English language learners (ELLs), Hispanic non-ELLs, and Hispanic…

This study addressed the problem of why students with learning disabilities in mathematics too often fail to develop multiplicative and divisional concepts/operations. We conducted a constructivist teaching experiment with 12 students (nine 5th and three 4th graders). This report focuses on three students' conceptual progress, particularly on…

Fourteen fifth-grade students gather at the front of the classroom as their summer school instructor introduces Jonathan Bostic as the mathematics teacher for the week. Before examining any math problems, Bostic sits at eye level with the students and informs them that they will solve problems over the next four days by working individually as…