This study aims to introduce a method that is based on the relationship between numbers and geometry, which can be used to show the exact location of rational numbers on the number line, compare rational numbers, make calculations, and examine rational numbers conceptually through parallel lines. It is believed that this method will to contribute…

Prompted by the evidence of international tests of achievement that Swedish students have poor equation solving skills, this paper presents an interview study of upper secondary students' understanding of the topic. Students, from both vocational and academic tracks in two typical suburban upper secondary schools were invited to explain how a…

Students' personal interest is hypothesized to be an important resource for learning, but only a few empirical studies have investigated the effect of interest on academic achievement and motivational outcomes of university studies. This lack of empirical studies is remarkable, because inadequate individual prerequisites are considered one reason…

The issue of early algebraic thinking is of great importance for the school life of young students. In this paper, the Father Woodland, a puzzle-like environment, is presented aiming to facilitate the use of algebraic thinking in early schooling. Seventy grade 3 students participated and their work was examined within Radford's (2011, 2014)…

This study is part of wider research that seeks to investigate the existence (or not) of socio-didactic-mathematical norms in the discourse arises within a group of pre-service secondary mathematics teachers when they are solving a didactic-mathematical task. In addition, we try to analyze whether any of these norms could have relationships with…

Educational design research provides opportunities for both the theoretical understanding and practical explanations of teaching. In educational design research, mathematics teachers' learning is essential. However, research shows that little consideration is given to teachers and the participation of teachers throughout the entire design process…

This study attempts to analyze pre-service secondary mathematics teachers? flexibility of external representations of domain and range of functions. To reach the purpose, a task consisted of thirty question items were designed. Participants of the study were thirty-eight Indonesian pre-service secondary mathematics teachers attending mathematics…

The aim of this study was to investigate the enhancement of the mathematical understanding ability of pre-service mathematics teachers through Activity-Class discussion-Exercise (ACE) teaching cyclic based on APOS theory. This study used a quasi-experiment method with non-equivalent pre-post test control group design. The subjects of this study…

This research is based on an individual case finding, where the response from individuals in answering the mathematical problems is initiated with perplexity to proceed with the new finding by reflecting on the previous experience. This research aimed at contributing practically on the indicators causing a perplexity on students which described…

This study offers an account of ways in which "ritual" (McCloskey, 2014) serves as a lens for identifying societal and cultural patterns related to mathematics teaching and learning in present-day US classrooms. We use data from an ethnographic study of a fifth grade mathematics classroom in which a student teacher and a mentor teacher…

According to the conceptual framework for K-grade 12 statistics education introduced in the 2007 Guidelines for Assessment and Instruction in Statistics Education (GAISE) report, students can be located at one of three developmental levels of statistical literacy: A, B, or C. These levels are independent of age and grade level, so, in theory,…

The Program for International Assessment of Adult Competencies, better known as PIAAC, developed a numeracy assessment framework that was used internationally to assess adults' numeracy skills. The assessment gauged adults' (aged 16-65 years) numeracy skills across a full range, from adults with very low levels of numeracy to college level math…

During the 2017-2018 school year, SEG Measurement conducted a study of the effectiveness of Imagine Math, an online system that provides individualized adaptive instruction and breaks down skills into component parts to help students develop math skills. The study examined the effectiveness of Imagine Math for improving the math skills of fourth,…

Research on mathematics learning disability (i.e., dyscalculia) tends to adopt a deficit model of the learner and quantify the ways in which these students are deficient. In this study we adopt a radically different approach. We understand disabilities to result from issues of access, and we explore mathematics learning disability (MLD) by…

Preparing students placing into developmental mathematics for success in undergraduate mathematics and preparing future teachers for the increasing demands of K-12 school settings are both persistent, yet seemingly divergent, problems facing higher education. In this paper, we shed light on a model that attempts to address aspects of each problem…