Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

Using gamification in assessments makes learning more engaging and encourages students to participate actively in the classroom. This study investigates the effect of gamification-based formative assessment on academic achievement among primary school students in the context of mathematics learning. Randomized pretest-posttest control group design…

We investigated French primary school teachers' assessment practice in mathematics. Using an online questionnaire on teachers' background, teaching, and grading practice, we were able to determine assessment profiles of 604 primary school teachers. As evidenced by the teachers' scores on the latent factors Assessment purposes, Assessment…

When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…

In this conceptual article, we argue for the need to examine power relations in continuous improvement (CI) in education. Specifically, we contend that examining power in CI requires an examination of practices that constitute the work of CI. Drawing on practice theory, we conceptualize practice and power and use these constructs to examine a CI…

Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

Early detection of and relevant information on children's mathematical difficulties is important to initiate targeted teaching and intervention. This study investigated the extent to which strategy use in single-digit addition provides additional predictive information about 61 grade one children's (6-year-old) mathematical achievement 3 years…

Purpose: The purpose of this study was to evaluate the impact of using Imagine Math Facts on student mathematics proficiency. Methods: This retrospective study compared the performance of Grade 1-5 students who used or did not use the Imagine Math Facts program on a standardized assessment of mathematics proficiency. Statistical matching was…

Conceptual replications are part and parcel of education science. Methodologically rigorous conceptual replication studies permit researchers to test and strengthen the generalizability of a study's initial findings. The current conceptual replication sought to replicate the efficacy of a small-group, first-grade mathematics intervention with 240…

This study aims to examine the strategies developed by 7th grade students while shading different percentages of geometric shapes. The study was carried out with 113 7th graders studying at a state middle school in a province of Turkey. The data were gathered using the Shading Percentage Test, which consisted of seven tasks. Data analysis employed…

The aim of this study is to examine the effects of Realistic Mathematics Education (RME) on 7th grade students' achievement on integer operations and their attitudes towards mathematics and to determine students' views about the RME approach. The research was carried out with the participation of 11 students. Exploratory sequential mixed design…

This case study examined teachers' perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings…

This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…

Mathematics has been crucial to learning and extending the frontiers of knowledge in all academic areas. At the elementary level, several teaching approaches have been implemented to improve students' mathematical achievement. However, compared to traditional teaching exposition techniques, the teaching with the use of math manipulatives has been…

The aim of this longitudinal study was to examine the differences between high- and low-performing students' development of fraction proficiency over a school year and to investigate how those differences were related to instruction in fractions versus instruction in other mathematics topics. The data for this study were drawn from a group of (n =…