This article illustrates and differentiates the unique role cognitive interviews and think-aloud interviews play in developing and validating assessments. Specifically, we describe the use of (a) cognitive interviews to gather empirical evidence to support claims about the intended construct being measured and (b) think-aloud interviews to gather…

Cognitive interviews play an important role in articulating the intended construct of educational assessments. This paper describes the iterative development of protocols for cognitive interviews with kindergarten through second-grade children to understand how their spatial reasoning skill development aligns with intended constructs. We describe…

The purpose of this study was to explore the variations in students' achievement on computational fluency assessments and variations in strategies for solving computation problems. Computational fluency was defined as a student's ability to compute flexibly, accurately, efficiently, and appropriately. Seven- and eight-year-old students completed…

The important role that metacognition plays as a predictor for student mathematical learning and for mathematical problem-solving, has been extensively documented. But only recently has attention turned to primary grades, and more research is needed at this level. The goals of this paper are threefold: (1) to present metacognitive framework during…

Pupils' difficulties in solving word problems continue to attract attention: while researchers highlight the importance of relational reasoning and modelling, school curricula typically use short word problems to develop pupils' knowledge of arithmetic operations and calculation strategies. The Relational Paradigm attributes the leading role in…

Despite decades of research, little is known about the dynamics of sustaining change in school reform and how the process of change unfolds. By tracing the nine-year reform journeys of four primary schools in Hong Kong (using multiyear interview, observational, and archival data), this study uncovers the micro-processes the schools experienced…

A 7-month mathematics proficiency program was conducted in a primary Australian Indigenous community school. This paper focuses on outlining the specific methodologies employed to explore how students' mathematical proficiency changed throughout the implementation of the program in Years 2 to 4 (~ 7 to 9 years old). A mixed methods research design…

The aim of this research is teaching addition with natural numbers and the concept of large and small natural numbers in the second grade mathematics course, through creative drama method. The study has been applied to 31 elementary school second grade students studying at a public school in the province of Aydin. In this research, case study…

The purpose of this article was to provide an account of second-grade students and teachers, as well as a non-participant observer, after they participated in a season of Sport Education. For a total of 12 lessons, students participated in a season of developing throwing and catching and kicking skills. Interviews were conducted at the conclusion…

In the new national core curriculum for Finnish preschool and basic education, rationales for supporting pupil participation are framed by the goal of developing school communities by listening to pupils' perspectives, the social nature of teaching and learning and pupils' participatory role in planning, implementing and evaluating their own…

We report a qualitative analysis of elementary school students engaged in collaborative problem solving involving mathematical equivalence tasks. We build on previous research showing that students often use strategies based on either operational or relational understandings of the equal sign. We closely analyze three cases and identify nuanced…

Dialogic teaching represents an orientation toward classroom dialogue that surfaces student ideas, allows students to encounter and dialogue with each other's ideas, and privileges divergent understandings. This orientation shows considerable pedagogical promise. Yet, particularly in schools serving economically marginalized and/or linguistically…

Multi-age classrooms feature the intentional grouping of students from consecutive grade levels for the purpose of fostering a nurturing classroom atmosphere. While an abundance of research on multi-age education has been produced throughout the past 50 years, only recent efforts have seen researchers turn their attention to the experiences of art…

In lower- and middle-income countries, including Ghana, students in rural areas dramatically underperform their urban peers. Rural schools struggle to attract and retain professionally trained teachers (GES 2012; World Bank 2012). We explore one potential solution to the problem of teacher recruitment: distance instruction. Through a cluster…

The purpose of this study was to examine the use of brief experimental analysis (BEA) to identify early reading interventions for students in the primary grades and to compare teachers' judgments about their students' early reading intervention needs to BEA results. In addition, the research was conducted to explore how teachers make decisions…