Programming is now included in mathematics curricula in several countries; thus, the purpose of this literature review is to determine the research-based justifications for these educational decisions. From a selection of relevant articles, 15 articles were identified and analyzed, each of which had varying study types, themes, and designs. Three themes from the studies were identified: the motivation to learn mathematics, student performance in mathematics, and the collaboration between students and the changed role of the teacher. It was found that in certain circumstances, including programming in mathematics education could improve student motivation to learn mathematics and improve student performance in mathematics. To gain a better understanding of the potential of programming in mathematics education, the entire collective learning process should be considered by discussing the roles of the teacher and the collaboration between students as part of these roles.
As has been the case in many countries around the world, the new Norwegian curriculum from 2020 included programming as part of mathematics education. However, little is known about how prospective teachers perceive this addition in regard to their developing professional identities. When the results from an electronic survey of 394 prospective teachers showed unexpected findings, five of the subjects were asked to participate in a focus group interview in order to explore some of these results. The focus group interview was conducted to understand how prospective teachers considered the past, present and future aspects of their professional identities as teachers of mathematics through programming. The results reveal that, although the prospective teachers had little experience of programming, they were positive regarding its implementation in mathematics lessons because they identified themselves as digital natives; they therefore believed that learning to program would be easy. They aligned themselves with their students, as masters of technology, in contrast to their future colleagues, whom they implicitly described as digital immigrants. The findings of this study have implications for teacher education. Even if the prospective teachers have a positive attitude toward programming and consider themselves digitally competent, a limited understanding of how programming can be integrated into their mathematics teaching will affect the identities that they see for themselves as teachers who teach mathematics through programming.
This article investigates how students in third grade discuss and reason on multiplication when they first encounter that concept in the classroom context. By analysing the data from 24 classrooms focused on teaching and learning multiplication, the article aims at contributing to the research and conceptualisations about students´ reasoning and strategy use in multiplication. The analysis shows that some of the features within previous research are helpful in characterizing the students´ reasoning about multiplication. However, the data material also reveals new aspects of students´ reasoning multiplication in classroom settings. One aspect is how students reason about different characteristics of multiplication, and reason about the concept of multiplication in a more general way. They put it in a broader context by going beyond the actual example in which the activity takes place. The students have moved away from the actual example, shifting their attention towards a focus on mathematical relationships. Another aspect is how a strong emphasis on using addition when they work with multiplication, by for instance that some students may begin to use different sub-totals, can cause tensions in the discussions between the teacher and students. Results are discussed in relation to previous studies of students´ multiplicative reasoning and implications for practice are elaborated upon.
Multiple studies have been conducted regarding teachers’ error-handling practices, and how errors can be treated as opportunities for learning, albeit in the context of whole-class discussions. The aim of the present research is to continue to investigate teachers’ error-handling practices as they occur in different phases of maths lessons: introduction of the task, when students are working alone, and when students are working in pairs and finally, as part of the whole-class discussion. The study included 51 lessons from twelve teachers. A cross-case analysis was made across the individual teacher cases to look for similarities and differences between different teachers’ error-handling practices across the lesson phases in order to create teaching profiles with similar handling of student errors across the lesson phases. Five error-handling teaching profiles were identified; correcting errors throughout all phases, correcting errors during students’ work while few errors are brought up in whole class, correcting errors during students’ work while using a variety of practices in whole class, ignoring errors while using some of them in whole class, and discussing and explaining errors.
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