Young children often explore partitioning as the idea of fair sharing in contexts where equal parts are created and distributed based on spatial constructs of the objects, rather than enumerating parts or collections. However, the presence of spatial reasoning in children's early fraction experiences is implicit within much of the literature and…

Despite interest in how students' implicit theories--their growth and fixed mindsets about their own learning--affect students as learners, relatively little research on mindset has looked at "teachers" as learners. This study explores elementary teachers' implicit theories about the malleability of mathematics intelligence and teaching…

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…

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…

This study examined the effects of training involving spatial versus nonspatial representations of numerical magnitude for promoting arithmetic fluency. The key goal was to advance theoretical understanding of the relation between spatial and math learning, while simultaneously laying the groundwork for the development of future educational…

This study examined 11 U.S. textbooks written for prospective teachers to investigate how standard decimal multiplication and division algorithms are presented, especially the rationale of both algorithms. Analytical frameworks of various methods used in different textbooks were developed. The findings suggest that half of the textbooks do not…

Purpose: The purpose of this paper is to explore whether and how principles from variation theory can contribute to the planning of teaching and learning beyond learning study. Design/methodology/approach: We study whether and how principles from variation theory contributed to a group of teachers' planning of teaching and learning about decimal…

This study provides a model of a school-based, parent intervention to support parents in building children's mathematics understanding at home. Participating parents received instruction on how to support elementary children's mathematical homework using literacy strategies. The researchers designed and implemented a five-week model with the goal…

Project-based learning (PBL) is increasingly recognised as a transformative alternative to traditional, instructor-centred education, fostering positive student attitudes towards learning. However, public schools in Pakistan largely adhere to conventional teaching methods, contributing to poor mathematics achievement and negative student…

Purpose: The purpose of the study was to gather data to determine whether instructional coaching partnerships can improve teachers' implementation of learned mathematics instructional strategies. Teachers are willing to learn and implement new mathematics strategies after professional development sessions to see better student learning results.…

Describing and analyzing teaching practice has been a focus of researchers interested in the interaction and connections between teachers' content knowledge and their pedagogical knowledge. This study described the role of a teacher's mathematical content and pedagogical content knowledge in involving students in learning and solving Science,…

This study continues an investigation of how spherical units, compared to cubical units, can facilitate students' units-locating and organizing units in composites. We analyze how Norwegian grade 3 students enumerate 3D arrays with cubical and spherical units. Our results show how spherical units can act as perceptual clues that facilitate…

Early intervention and identity-building can promote the idea among students that everyone is a math person. Natalie Parker-Holliman and Tenisha Marcel-Herbert share practical tools and strategies that schools and teachers can use to build students' confidence and strengthen their mathematical foundation. They highlight the significance of culture…

This case study examines efforts by Lake Tahoe Unified School District (LTUSD) to improve math instruction districtwide, starting with a focused pilot at Sierra House Elementary School. Initially responding to stagnating test scores, LTUSD developed a strategy with its external partner California Education Partners (Ed Partners), which centered on…

The purpose of the study is to investigate pre-service elementary teachers' noticing expertise of students' mathematical thinking within the context of fractions. For this purpose, 32 pre-service elementary teachers were asked to examine students' answers and ways of thinking given in written excerpts related to fractions. The data was mainly…