At least 66 million people globally are experiencing forced displacement and had to flee their homes in order to escape war, persecution, and natural disasters. Countries that have accepted larger refugee populations must address the task of enabling their participation in society. Besides other aspects, numeracy skills are important for all…

For the past decade, philosophers of mathematical practice have examined the nature and function of proofs in mathematical practice, most often in mathematical research practice. More recently they have examined how mathematicians assess and get to know a proof not just by reading it, but through active engagement with the proof. For example,…

This paper explores the impact of the course "Teaching and Learning of Mathematics (Grades 7 and 8)" for the preparation of pre-service secondary mathematics teachers. It examines how pre-service teachers perceived mathematical problem solving and communicating mathematical knowledge before and after the course. The main objective of the…

In South Africa many school-leavers are underprepared for higher education, especially in academic literacies, including numeracy. It is important for higher education to identify the students most vulnerable to failure in coping with the numeracy demands of the curriculum, so that resources available for interventions can be most fairly used. To…

The relevancy of linear algebra (LA) in different areas and also the difficulties faced by undergraduate engineering students studying this content are well known. Grounded on this premise, we aimed at articulating papers related to the teaching and learning of LA in engineering undergraduate programs through a mapping of the main investigations…

The variation theory of learning emphasizes variation as a necessary condition for learners to be able to discern new aspects of an object of learning. In a substantial number of studies, the theory has been used to analyze teaching and students' learning in classrooms. In mathematics education, variation theory has also been used to explore…

Research on statistical education in childhood is recent in Brazil. The research has been mainly driven by curriculum reforms and the creation of research groups that investigate teaching, learning, and teacher education practices. The present paper emerges from this scenario and has the aim of investigating practices of creative insubordination…

Blended learning, which combines face-to-face workshops with self-directed online learning, is becoming a good alternative in designing and deploying professional development programs. The online component adapts to teachers' time constraints, requires fewer trained professionals for its implementation, and enhances participants' opportunities to…

This research addressed Hungarian pre-service and in-service (both elementary and lower secondary) teachers' pedagogical content knowledge concerning the teaching of word problem solving strategies. By means of a standardized interview protocol, participants (N = 30) were asked about their judgement on the difficulty of teaching word problems, the…

This paper presents the second phase of a larger research program with the purpose of exploring the possible consequences of a gap between what is done in the classroom regarding mathematical word problem solving and what research shows to be effective in this particular field of study. Data from the first phase of our study on teachers'…

In this paper we examine the relationship between teachers' knowledge, beliefs and instructional practices based on a study with 495 Chinese pre-service mathematics teachers. The results indicate that Chinese pre-service mathematics teachers tend to hold mixed beliefs about the nature of mathematics, and a constructivist view about mathematics…

Teachers' pedagogical content knowledge (PCK) importantly contributes to instructional quality and student outcomes. We aimed to complement the limited insights into preservice preschool teachers' PCK, and its association with opportunities to learn (OTL), during teacher training. We offered 162 first-to-final-year preservice preschool teachers…

The diversity of vulnerability conditions, that have prevented children and adolescents from exercising their right to school education, also produces a diversity of cultural references of the public that comes to Basic Education programs for Youth and Adults in developing countries. This diversity often forges appropriation processes of numeracy…

This study aims to investigate a mathematical-metacognitive discourse model with IMPROVE metacognitive self-question prompts (What, How/When, and Why) in order to promote a deeper level of discourse in mathematics classes. The study involved 32 math teachers and 824 fifth-grade students (from 32 public schools) from one district in Israel.…

In this paper, we investigate the role of metacognitive postdiction skills, intrinsic motivation and prior proficiency in mathematics as Propensity factors within the opportunity-propensity (O-P) model of learning. We tested Belgian children from Grade 1 till 6 in January and June. The study revealed overlapping yet different predictors for…