This study is the first to examine the associations between the occurrence, frequency, and adaptivity of children's subtraction by addition strategy use (SBA; e.g., 712 - 346 = ?; 346 + 54 = 400, 400 + 300 = 700, 700 + 12 = 712, and 54 + 300 + 12 = 366) and their underlying conceptual knowledge. Specifically, we focused on two rarely studied…

This paper reports on students' conceptions of minima points. Written assignments and individual interviews uncovered salient, concept images, as well as erroneous "mis-out examples" that mistakenly regard examples as non-examples and "mis-in examples" that mistakenly grant non-examples the status of examples. We used Tall and…

Metacognition has been a subject of considerable interest in school settings, particularly its implications on learning and performance in mathematics. While metacognition has been widely studied as a multi-faceted construct comprising of metacognitive knowledge, regulation and experiences in various combinations, few have examined these three…

Arguably, the ability to generalize is an essential characteristic of students who succeed in mathematics and computer science. Teachers should be aware of its presence in their classroom and have tools to encourage its existence. Thus, it is important to examine the successful ways that generalization is taught. This systematic review examined…

Purpose: This research lies in the domain of Vedic mathematics, and it explores the application of the related Vedic sutras in different branches of mathematics, science, education, and engineering across Asia and Europe. Design/methodology/approach: The study embraced a qualitative research design followed by a systematic literature review (SLR)…

The growing use of programming in mathematics classrooms presents a challenge linked to implementation in general and task design in particular. This article presents design ideas for mathematical problems incorporating programming in which the focus remains mainly on learning mathematics and less on learning programming. The article starts by…

The aim of the study was meant to investigate the moderative role of pre-service teachers' interest on mathematics achievement, attitude and anxiety during teaching and learning process. The study was conducted at Akrokerri College of Education Adansi, Ghana on pre-service teachers with a population of 300. A sample of 206 pre-service teachers…

In this survey paper we focus on aspects of the quality of teaching mathematics from several perspectives. We differentiate between effective aspects that are empirically proven and more normative ones that constitute "good teaching" but that are highly dependent on context. High quality of mathematics teaching includes characteristics…

We examined the characteristics of video annotations frequently discussed during debriefing conversations as part of video-assisted coaching cycles. We also analyzed how mathematics coaches used written annotations to inject ideas into debriefing conversations when supporting teachers to reflect on important classroom events. Coaches and teachers…

This paper provides evidence that a short, fully online, well-constructed diagnostic test based on research literature can give teachers information about their students' thinking and strategies that is sufficiently accurate to use for formative assessment purposes. The example is a test for students beginning to learn to solve equations. The main…

This article presents several mathematics problems on the same theme that can be used in class or for independent study. It is very difficult to show students how mathematics research is done by mathematicians, so the author first introduces a problem that can be tackled solely by arithmetic and then gives an idea of how a mathematician might…

Math-anxious people consistently underperform in math. The most widely accepted explanation for "why" this underperformance occurs is that math-anxious people experience heightened anxiety when faced with math, and this in-the-moment anxiety interferes with performance. Surprisingly, this explanation has not been tested directly. Here,…

Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…

Background: Differences in competence gains between academic and non-academic track schools are often attributed to selection effects based on students' primary school performance and socioeconomic status (SES). However, how the competencies of comparable students (in terms of school performance and social background) at different tracks develop…

Mathematics achievement of Indonesian students has not been relatively optimal whereby most of the students still have low mathematics achievement. Hence, the present study develops and produces a digital game called Ucing Sumput that is valid, practical, and effective in enhancing the mathematics achievement of Indonesian students. Research and…