This study aims at understanding the role of the tools chosen throughout the processes of solving a non-routine mathematical problem and communicating its solution. In assuming that problem-solving is a synchronous activity of mathematization and expression of mathematical thinking we take our proposed Mathematical Problem Solving with Technology…

Reading mathematics problems can frustrate students to the point of shutting down. Although Pólya's four-step plan is a well-known problem-solving framework, the author's students benefited from a more concrete and detailed approach: chunking the reading. In this article, the author describes an approach to problem solving used with eighth-grade…

Despite the central role of proofs in mathematics, research often shows that school textbooks offer limited support for the teaching and learning of proof-related reasoning. This study contributes to this field of research by studying Swedish and Finnish upper secondary textbooks on logarithms and combinatorics. Justifications in expository…

Children struggle with exact, symbolic ratio reasoning, but prior research demonstrates children show surprising intuition when making approximate, nonsymbolic ratio judgments. In the current experiment, eighty-five 6- to 8-year-old children made approximate ratio judgments with dot arrays and numerals. Children were adept at approximate ratio…

This study investigates the development of algorithmic thinking as a part of computational thinking skills and self-efficacy of primary school pupils using programmable robots in different instruction variants. Computational thinking is defined in the context of twenty-first century skills and describes processes involved in (re)formulating a…

Mathematics education increasingly happens online and is not bound by the local context. This means mathematics learning and the learner may be defined by international private corporations as well as by national and school curricula. In this paper, I draw on a study of online mathematics instructional programmes used in New Zealand primary…

Through a search executed on Web of Science database with general keywords pertaining to 'teaching fractions' or 'understanding fractions' and 'representation', this study utilized PRISMA's procedure in analysing previously published articles. This review reveals seven articles in inclusion criteria and seventeenth articles in exclusion criteria…

Mathematics creativity is very important in studying mathematics at every level of education but less attention is paid to it in the teaching-learning process and this has resulted to poor performance in the subject. The study investigated how activity based learning approach can enhance the creative skills of primary school pupils. A sample of…

During the last decade, many governments and ed-tech companies have demonstrated an increased interest in digital personalised learning, which resulted in a variety of often game-like adaptive learning environments. However, there has been limited attention for the impact of these personalised learning technologies on children's learning…

To help students acquire mathematics and science knowledge and competencies, educators typically use multiple external representations (MERs). There has been considerable interest in examining ways to present, sequence, and combine MERs. One prominent approach is the concreteness fading sequence, which posits that instruction should start with…

Teachers' understanding of the concepts they teach affects the quality of instruction and students' learning. This study used a sample of 303 teachers from across the USA to examine elementary school mathematics teachers' knowledge of key concepts underlying fraction arithmetic. Teachers' explanations were coded based on the accuracy of their…

The questions that teachers ask to elicit student reasoning are among the most important aspects of productive mathematics talk. These questions--often referred to as "press for reasoning"--offer teachers an effective tool for helping students explicate the concepts and principles that undergird their strategies (Kazemi and Stipek 2009).…

We describe a formative assessment approach called whole-class think alouds, which foster evidence-based instructional practices and promote the goal of assessment to promote learning. They allow students to collaborate and orally communicate their problem solving.

We are developing an approach to teaching important proportionality-based concepts to first grade students in a way that supports students' future progress in the domain. We consider the proportionality between magnitudes as a basic relationship behind multiple cases, usually described mathematically as ratio or rate. The core of our strategy is…

This study aimed to learn the learning outcomes of associate-degree students attending a Vocational School (VS) in a CAS-supported learning environment within the scope of the limit-continuity subject. The study was conducted using the action research method, and the worksheets prepared by Ertem Akbas (2016) were used. While evaluating and…