The Department of Basic Education in South Africa has identified factorisation as a problem area in Mathematics teaching. Learners in earlier grades are exposed to mathematical tasks, involving concepts, such as factors of integers, fractions, equivalent fractions and prime numbers, that are easier to solve when the divisibility rules are applied.…

With the understanding of importance of pedagogical content knowledge, professional noticing has become one of the research subjects of the mathematics educators for the last 10 years. This qualitative study which explores secondary school students' solution processes regarding the concept of equation ,one of the main components of algebraic…

Background: Fractions continue to pose a critical challenge for students and their teachers alike. Mathematics education research indicates that the challenge with fractions may stem from the limitations of part-whole concepts of fractions, which is the central focus of fractions curriculum and instruction in the USA. Students' development of more…

The present study aimed to determine views the middle school students' located a province of Turkey towards the Class Dojo education technology used in mathematic courses. A questionnaire based on expert opinions was used for the collection of research data. The participants of the study consisted of 206 students; 5th, 6th, 7th and 8th grade…

Watching a debate can help people understand multiple points of view. At the conclusion of a debate, a consensus might occur after a deep analysis and discussion of the issues. Most students will participate in a class debate at some point in their schooling, but chances are that debate will not take place in math class. What could there be to…

Personalizing learning with technology in secondary schools is a way to empower students to take control of their learning. The more learners can direct their own learning experiences, including path, pace and instructional approach, the more they may learn what they want and need to learn. In a quasi-experimental design, data about the…

Adaptive Learning Technologies (ALT) and Learning Analytics (LA) are expected to contribute to the customisation and personalisation of pupil learning by continually calibrating and adjusting pupils' learning activities towards their skill and competence levels. The overall aim of the study presented in this paper was to obtain a comprehensive…

In this paper characterizations of mental objects for fractions of middle school students (from 12 to 14 years old) with absenteeism problems and low academic performance, are described. A test was designed as part of a research whose general purpose is to contribute in the building up of better mental objects for fractions through a teaching…

The purpose of this study was to replicate and extend the study of the schema-based intervention (SBI) conducted by Jitendra et al. (2015) that demonstrated impact in proportional problem solving for a homogeneous sample of Upper Midwest students and teachers who were predominantly White and middle class. This study was replicated in two…

Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…

Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…

International comparisons of languages have shown how mathematical concepts can be expressed and conceptualised in different languages. For multilingual students, these findings raise the question of how the interplay of languages and conceptualisations shape multilingual learning processes. This paper presents an investigation of case studies of…

Background: Prior research has shown that engagement plays a significant role in students' academic learning. Aims: The present study sought to expand the current understanding of students' engagement by examining how situational engagement during a particular lesson is associated with the observed teacher-student classroom interactions (i.e.,…

We study the implementation of a MOOC initiative which involved two distinct teacher education institutions at HEIs, and where the implementation was led by a governmental body. Our aim was to see in what ways this initiative changed the teacher education involved, in terms of institutional organisation and pedagogics. Based on interviews with…

Do your students think they can model ratios with sets of discrete objects and combine them to show the addition of ratios? Do they believe that equivalent ratios are based on additive relationships rather than multiplicative ones? What tasks can you offer what questions can you ask to determine what your students know or don't know and move them…