This study was conducted to reveal potential sources of students' difficulty and misconceptions about geometrical concepts with the help of eye tracking. In this study, the students' geometrical misconceptions were explored by answering the questions on the geometry test prepared based on the literature and test-taking processes and represented…

Students' difficulties in algebra are generally caused by the use of algebraic notation, the meaning of letters, as well as the types of relationships or methods used. Therefore, interpreting letters in algebra is one of the critical points in the transition from arithmetic to algebra. However, many students have misconceptions in interpreting…

The purpose of the study was to see the effect of quizzes on anxiety and performance in mathematics at middle-level students. Seventy-two participants from a public sector high school were chosen carefully. In experimental designs, the Pretest Posttest Non-equivalent Control Group Design was selected for the study. The instruments for measuring…

Reasoning and justification are among the core skills that mathematics education aims for students to acquire. Studies indicate that students having these skills are able to formulate meaningful geometric ideas. It is also important that students know the significance underlying the operations and mathematical ideas employed or, in other words,…

This study is a case study within a three-year-long design research study. The purposes of this study are twofold. The first purpose includes investigating whether there is a significant difference in seventh-grade students' proportional reasoning skills before and after a teaching experiment conducted in line with the perspectives of Hypothetical…

The purpose of the study was to determine the association between van Hiele geometric thinking levels and circular achievement exam results for middle school students in 7th grade. The design of the study was a survey method. 157 middle school students were participated into study from three different schools in Kayseri in the spring semester of…

Background: Prior work has shown that middle school students struggle with algebra and that game-based educational technologies, such as DragonBox and From Here to There!, are effective at improving students' algebraic performance. However, it remains unclear which aspects of algebraic knowledge shift as a result of playing these games and what…

Deliberate practice and having a growth mindset have been hypothesized to increase school performance. But previous studies are few, have been limited to very short interventions, and on average resulted in small effect sizes on school performance. This study compared the attitudes, performance, and behavior of 130 7th-grade students taking part…

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, the authors share a process for revising them using Universal Design for Learning (UDL). Outlined in detail here are problems for kindergarten, grades 5 and 7, and high school (algebra).

Improving children's "number sense" has been a core component of recent mathematics curricular and instructional reforms (CCSS, 2010; NCTM, 2000, 2014) in the United States. Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient…

The purpose of this study was to study the impact on student performance due to participation in the Catapult Learning Intervention program in the Mathematics and Reading services offered in a religious non-public school system in the Northeastern United States from grades 6-8. Student scaled scores from the NWEA MAP assessments administered at…

Background: Spatial skills and mathematical ability have been repeatedly identified as critical for achievement in Science, Technology, Engineering, and Mathematics (STEM). Previous studies have identified correlations between spatial skills and mathematical achievement; however, questions remain regarding improvements in non-spatial areas…

We report the results of a preregistered, cluster randomized controlled trial of a mathematics learning intervention known as interleaved practice. Whereas most mathematics assignments consist of a block of problems devoted to the same skill or concept, an interleaved assignment is arranged so that no 2 consecutive problems require the same…

The purpose of this non-experimental, cross-sectional, correlational study was to examine the influence, if any, of mathematical-instructional minutes on academic achievement as measured by the 2014 New Jersey Assessment of Skills and Knowledge (NJ ASK) 6, 7, and 8 mathematics scores. Additionally, the study accounted for other factors that…

Background: This study considers the moment-bymoment mathematics discourse of teachers and students and the relationship of these discourses to student learning. I focus on the discursive constructs of responsiveness to students' mathematical thinking and the intellectual work in teacher and student discourse. Responsiveness to students'…