This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…

Studies on Global Englishes (GE)-related pedagogical and curricular innovations emphasize the importance of exposing students to the diversity of English and its users. However, they do not provide direct evidence of changes in students' attitudes. The reliability and validity of existing quantitative instruments for measuring students' attitudes…

In Japan, school teachers experience mental health issues, leading to absences or leave from their duties. While extended working hours significantly contribute to this problem, diminished self-esteem has emerged as the primary causal factor. Reduced self-esteem is frequently correlated with diminished self-efficacy across multiple facets of…

An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle's center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of…

The aims of the present study are two-fold. The first aim is to reveal the cultural and linguistic issues that need to be considered in the development of curricular content and sequencing for teaching mathematical proof in secondary schools in Japan. The second aim is to elaborate an epistemological perspective that may allow us to understand…

One of the major issues in L2 learning and cognitive styles is the ambiguity of these concepts. A solution to this issue should involve the following two aspects. First, studies of factorial validity should be conducted with empirical data, and with an appropriate analysis using a theoretically well-developed scale. Second, such studies should…

Assessing student presentations can be made more reliable with video-recording and post-performance rating. Further, self assessment and peer assessment can aid in the learning process by students when using specific, easy-to-understand rubrics. A ten-year action research study involved video-recorded performance assessment tasks using a free,…

Given the abundance of literature describing the strong relationship between inquiry-based teaching and student achievement, more should be known about the factors impacting science teachers' classroom inquiry implementation. This study utilises the theory of planned behaviour to propose and validate a causal model of inquiry-based teaching…

Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

One of the current challenges in the field of intercultural education comes from the limited availability of training efficacy studies. The present study focused on explaining the effectiveness of the Contrast Culture Method (CCM) as an intercultural education method for managing interpersonal interactions across cultures between graduate…

In order to develop effective teaching methods and computer-assisted language teaching systems for learners of English as a foreign language who need to study the basic linguistic competences for writing, pronunciation, reading, and listening, it is necessary to first investigate which vocabulary and grammar they have or have not yet learned.…

This study is a quasi-experimental, longitudinal investigation into the role that extensive reading and reading strategies play in the cultivation of reading self-efficacy. Conducted over the course of one academic year, how changes in reading self-efficacy translate into changes in reading comprehension was examined. In addition, the…

Results from research about language learners can be strengthened by including the learners themselves in the data analysis, and inviting them to check researcher interpretations to confirm the validity of the data, to search for alternative interpretations, and to delve deeper into their beliefs. Using critical participatory looping (CPL), the…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

While the use of student performed evaluation of teaching is a topic of considerable debate, little has been written in a Japanese context. Sixteen English language teachers who work either part time, under a limited term contract, or have tenure in Japanese universities commented on a summary of common questions which had been collected from 50…