Effective mathematics teaching practices include not only probing student thinking and selecting student strategies to share but also facilitating discourse and encouraging reflection about important mathematical ideas (National Council of Teachers of Mathematics [NCTM], 2014, pp. 36-37). Encouraging students to use precise academic vocabulary to…

This essay extends beyond the characteristics and discourse of word problems to, more generally, school mathematical problem-solving and the implications entailed by a predominant paper-and-pencil mode of learning and instruction since the modern era of education. Contrasting what I call "one-handed" (with paper-and-pencil) with…

Mathematical problem-posing (MPP) offers an alternative to teacher-directed approaches by encouraging students to create and solve their own problems. While MPP is supported by the Australian Curriculum and empirical research has increased over the last decade, implementation in classrooms is still limited. Using The Theory of Practice…

The researchers found that sixth-grade students at Traimit Pattana Suksa School had limited problem-solving and mathematical reasoning skills, which was attributed to the way their learning activities were organized by their teachers. The traditional approach did not allow students the freedom to think and practice solving a variety of problems in…

This study aims to examine the effect of problem posing-based active learning activities on students' problem-posing skills and problem-solving achievement. To this aim, an experimental design with pre-test post-test control group was employed. The participants consisted of two groups of sixth graders, one experimental group (N=23) and one control…

These educators share the "how" and "why" behind their use of open middle tasks in the classroom. In this article, the authors share a type of mathematics task, called Open Middle, that exhibits the characteristics outlined above. The authors frequently use Open Middle tasks in their classrooms because they teach students that…

The need for improving and evaluating students' cognitive skills, including problem-solving, has been highlighted in both the mathematics education literature and the curricula worldwide. The objective of this study was to assess the problem-solving skills of lower secondary school students using a teacher-based evaluation method, taking into…

In this study, the relationship between secondary school students' conceptions of learning and their mathematical thinking was examined. The study was conducted with 311 secondary school students using relational survey model. The data were collected with the learning conceptions scale and mathematical thinking scale, and the relationship between…

The aim of this study is to investigate the effectiveness of Realistic Mathematics Education Strategies Mobile App (REMSAM) on the mathematical problem solving performance of students with learning disabilities (LD). The participants of this study consisted of five children (three girls, two boys) with LD. The study was carried out based on a…

The purpose of this study is to investigate how to improve middle school 6th-grade students' skill of associating mathematics with real life through Realistic Mathematics Education, which was reinforced with educational games, to determine the problems possible to be encountered in practice and how to solve these problems in details. This study,…

Previous research examining comparison relations in word problems primarily focused on students' achievements in word problems with one operation. In this paper, we extend previous research to examine the achievement of students of different ages on word problems that integrate compare and combine word problems, hereafter referred to as…

There is a significant body of research that indicates that the use of tablets to learn mathematics in elementary school motivates students to learn. Low mathematical attainment in international benchmarking tests of mathematics in South Africa led the authors to investigate the potential that the mobility of the tablet provided for children to…

In this article, the role of digital feedback that was provided in an outdoor mathematics education setting is taken into consideration. Using the app MathCityMap (2020) in the context of a mathematics trail, the influence of positive and/or negative feedback is examined in relation to how it influences the processes of verification and…

Motivated by a curriculum privileging number-based strategies but national tests highlighting students' reliance on standard algorithms, this study analyses 2,216 Danish Grade 3, 6 and 8 students' solutions to various multidigit arithmetic tasks, each designed to elicit shortcut strategies, against background variables including sex, ethnicity and…

As procedural flexibility, previously understood as adaptive reasoning, emerges as an important consideration in math skill development, it is important to account for executive functioning in that process as well, as executive functioning a well-researched factor in math performance. The current study, a secondary data analysis, explores how…