This article describes students learning to build their own numbering system by recognizing and identifying patterns with interlocking cubes in different place values. The students used the Egyptian hieroglyphic numeral system in conjunction with this activity to connect learning in other subjects. Students used prior knowledge of place value to…

The aim of this study is to examine how middle school mathematics teachers diagnose and attempt to eliminate students' misconceptions in algebra. The study employed a case study method and embedded single-case design. The research was conducted with three mathematics teachers working in different state schools and having different professional…

Although teachers are eager to facilitate community of inquiry (CoI) in their classrooms, they also fear being unable to convey the necessary knowledge to their students in an inquiry due to the inherent involvement of conflicting views, confusion, and a lack of strict definitions about the concepts. The author argues that the banking model of…

21st century teaching and learning emphasize the full engagement of students for improving their critical thinking and cooperation and the construction of the knowledge that demonstrates deep understanding. However, significant studies reported chemistry as a challenging subject caused of abstract concepts, phenomena and ways used in teaching and…

Formative assessments (FA), which can occur in or out of class, are a way for students to demonstrate their understanding of the material, to see progress, and to receive feedback from instructors related to their learning process. Examples of in-class FAs include clicker questions with peer discussion, while homework assignments are an example of…

A new didactical approach named "Learning by Being" (LBB) is proposed and its correlation with current educational paradigms in science teaching is analysed. The key idea in LBB is the assumption by the students of cognitive goals, and three components are mandatory in LBB: a) student's personal learning effort, b) student-teacher mutual…

The aim of this study is to explore pre-service teachers' procedural and conceptual understanding of pupils' understanding of mean value, before and after an intervention. Participants are 66 pre-service teachers, and two teacher educators. The data consists of five video-recorded lessons and pre-service teachers' pre- and post-test discussions.…

Effective natural science teaching in primary schools helps students to form and change their conceptions about nature and natural processes. This is only possible through communicating about learners' existing misconceptions and the process of transforming them into correct scientific concepts -- using a socio-constructivist learning approach.…

Adaptive teaching on the micro-level of teacher-student interaction has often been investigated, but rarely with respect to students' content-specific learning pathways. In this paper, we present an analytic approach to disentangle the learning content into its components and to capture the content-specific adaptivity in teaching practices with…

Purpose: This paper presented the learning process of a group of primary mathematics teachers who participated in two iterations of lesson design, enactment and reflection in a Chinese Lesson Study. Design/methodology/approach: An expansive learning theory was employed to examine the teachers' learning process in lesson study (LS) on representing…

The aim of this article is to explore the processes of learning when students are engaged in intercultural historical learning (IHL), specifically how spaces of learning were, or were not, opened by students' struggle to construct meaning. Since IHL is complex, involving both intrinsic disciplinary and extrinsic curricular goals, it is vital to…

This paper explores one child's use of their schema to construct their knowledge and understanding within the early years curriculum for Wales -- the Foundation Phase (FP). It considers how a knowledge of schemas can facilitate practitioners in supporting children along their learning continuum and inform classroom pedagogy. This paper explores…

This study applies a framework for mathematical cognition and learning (Bossé, et al., 2018a; Bossé et al., 2019; Bossé et al., 2018b) to examples of students' comprehension of geometric concepts related to angles. This framework utilizes key concepts from second language acquisition (SLA) to elucidate processes involved in mathematical learning.…

Recent reforms in science education emphasize having students develop and refine core disciplinary ideas through participation in science knowledge--building practices. Supporting students' meaningful participation in these practices is challenging, in part because our understanding of how this kind of participation develops is underexplored. This…

Students' conceptual understanding and mathematical process skills can be improved through digital games in mathematics education. The starting point of this study is the idea of having students encounters this kind of environment. The study didactically describes the process of 6th-grade students' experiences of a digital game-based learning…