Spatial ability is an ability to visualize an object in space. In learning geometry, the spatial ability is required to solve geometric problems. One of the learning models that can be applied in the learning process to improve students' spatial ability is Van Hiele learning model. Van Hiele learning model is a learning model based on Van Hiele…

Numerical magnitude knowledge is related to current math abilities and predictive of future math learning. However, this relationship has previously been shown only for knowledge of positive magnitudes; the present study is the first, to our knowledge, to examine the connection between magnitude knowledge and math ability with negative integers.…

This study aimed to investigate the effects of different ways of presenting teaching materials on enhancing mathematical problem-solving abilities. This research was obtained using a quasi-experimental design with the non-equivalent control group design. The study population was all eighth graders enrolled in public junior high schools (SMP) in…

All mathematics is comprised of three elements: symbols, nominalizations, and images, and the combination of these three elements determine the mathematical meaning. However, adolescents may not be aware of these three elements. When asked to describe mathematical language, they will often name equations and images, two of the three elements. Over…

Concerns have been expressed that although learners may solve linear equations correctly they cannot draw on mathematically valid resources to explain their solutions or use their strategies in unfamiliar situations. This article provides a detailed qualitative analysis of the thinking of 15 Grade 8 and Grade 9 learners as they talk about their…

Design activities help students develop their three-dimensional thinking skills and gain engineering and technology literacy. This study investigated whether the spatial abilities and 3D geometrical thinking skills of the students differed according to approaches to learning mathematics before and after engineering design-based mathematics (EDBM)…

STEM integration holds significant promise for supporting students in making connections among ideas and ways of thinking that might otherwise remain "siloed." Nevertheless, activities that integrate disciplines can present challenges to learners. In particular, they can require students to shift epistemological framing, demands that can…

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…

Informal best fit lines frequently appear in school curricula. Previous research collectively illustrates that the adjective informal does not translate to cognitive simplicity. Using existing literature, we create a hypothetical framework of cognitive processes associated with studying informal best fit lines. We refine the framework using data…

After being introduced to the distributive law in meaningful contexts, students need to extend its scope of application to unfamiliar expressions. In this article, a process model for the development of structure sense is developed. Building on this model, this article reports on a design research project in which exercise tasks support students…

The main purpose of the current study was to develop and validate a scale of perceived attributes of the interactive whiteboard (IW) for the mathematics class. Rogers' Diffusion of Innovations Theory served as the theoretical framework. Two groups of participants in Turkey were employed in this study. The first group consisted of 350 middle school…

Although a vast amount of literature on feedback practices and the effects of feedback on learning outcomes exists, very few studies include peer feedback in the analysis, and very few studies examine variations in students' perceptions of feedback. By exploiting a unique survey of feedback practices in mathematics lessons (Student Experiences of…

This study examined the impact of the levels of fidelity of teacher implementation of a research-based middle school mathematics program, implemented systemically across a district, on student achievement benchmarks. By examining the systemic implementation based on the level of fidelity to the written curriculum, this quantitative study sought to…

In this study, it was aimed to determine the geometry problem posing performance of eighth grade students in different problem posing situations. For this purpose, the convergent parallel mixed model accepted as one of the mixed method designs was preferred. The participants consisted of 151 eighth grade students from the same school. The…

Despite progress toward gender equity, troubling disparities in mathematical problem-solving performance and related outcomes persist. To investigate why, we build on recurrent findings in previous studies to introduce a new construct, "bold problem solving," which involves approaching mathematics problems in inventive ways. We introduce…