Prior research showed that many secondary students fail to construct arguments that meet the standard of proof in mathematics. However, this research tended to use survey methods and only consider students presenting their perceived proofs in written form. The limited use of observation methods and the lack of consideration of students presenting…

What are the substantive differences between flipped and non-flipped instruction? This study examined the instruction of two teachers who have worked together within the same school using the same Algebra 1 curriculum for years. One teacher flipped his instruction (creating lecture videos assigned as homework), while the other teacher continued…

The aim of the study is to investigate and compare approaches to algebra in the Estonian, Finnish, and Swedish national core curricula (Grades 1-9). Despite the similarities in the school systems of these neighboring countries, the analysis reveals three quite different curricular approaches. The Estonian approach shows influences of the Russian…

The purpose of this study was to investigate pre-service teachers' knowledge of content and students vis-à-vis their ability to anticipate, identify and clear high school students' misconceptions about inverse and composite functions. To accomplish this goal a case study research design was used to examine one fourth year mathematics education…

Taking as its point of departure, situations arising in classrooms exposed to a heavy use of CAS, exemplified by the Danish upper secondary school mathematics program, the paper discusses the use of "old" cognitive frameworks of mathematics education as an alternative to more recent theoretical developments in the field. The paper draws…

In this study, whether the variables of pre-service teachers' reflective thinking related to problem solving, attitude towards mathematical problem solving, metacognitive awareness, mathematical literacy self-efficacy, belief related to mathematical problem solving and problem solving achievements differ according to class level and the prediction…

While school performance suggests students with learning disabilities require intervention to demonstrate mathematics proficiency, little is known about how they approach problem solving in secondary geometry. Think aloud protocols highlight the higher order thinking skills underlying complex academic tasks. We conducted an exploratory descriptive…

This study aims to develop a valid and reliable scale that shows the secondary school mathematics teachers' evaluations of mathematics homework. A literature review was conducted, and a pool of 41 articles have been prepared for this purpose. Five expert academicians in the field of mathematics education were consulted for the content, construct,…

Previous research making claims about students' proving capabilities usually only explored one modality (e.g. oral or written arguments). This study compares the written and oral representations of eighth-grade students' mathematical arguments to determine whether the two modalities portray similar understandings. We replicate Stylianides' (2019)…

Reasoning-and-proving is a crucial part of students' mathematical experiences in secondary school. There is scholarly debate, however, on the extent to which proving at the secondary level needs to be formal and whether all students should be held to disciplinary standards of rigor. In this study, we investigated the notion of "proof for…

This paper discusses the integration of faith, culture and life in Catholic schools, offering keys to understanding and pedagogical orientations. First, based on magisterial documents, the text identifies three features that characterise this integration: a comprehensive understanding of knowledge, a testimony offered through the lives of…

We expand on prior qualitative research about mathematics identity development using data from a large national US survey of 10,437 students in 336 college calculus classes. Multinomial logistic regression models find that a stronger mathematics identity predicts higher student interest in pursuing certain STEM careers when compared with non-STEM…

The aim of this study was to investigate the relationship between grade seven students' attitude towards Mathematics and their achievement in Mathematics. Even though Mathematics is featured as a core and mandatory subject in schools of Bhutan, it has little impact on students, as they consistently show poor achievement in Mathematics. The…

Improving educational outcomes for Pasifika learners is a national priority in New Zealand. Long-standing mathematics achievement differences between Pasifika and non-Pasifika indicate that looking beyond usual pedagogies may be essential for enhancing Pasifika student learning. Culturally sustaining pedagogy, drawing from the cultural experiences…

Video can be a powerful tool, with a long history of use in teacher education. Despite the increased popularity of using video in teacher education over the years, questions remain about effective ways to create and use video in online video-based instructional modules. Given this, in this paper we describe some lessons learned creating videos for…