One of the most intransigent problems in mathematics education is the culturally-influenced divide between classroom practice and educational research. This paper describes our explicit attempt to bridge that divide by translating research on instructional practices linked to improving students' mathematics achievement into a brief guide outlining…

The university aims to form professionals through transmission and dissemination of knowledge, therefore, the Extension, as a tool of the universities, has a major role contributing to improvements in the learning and teaching process. The Extension projects are extremely important for The Federal Technological University of Paraná (UTFPR), since…

The research shared in this conference paper report illustrates how an iterative process to item development that involves expert review and cognitive lab interviews with students can be used to collect evidence of validity for assessment items. Analysis of students' reasoning was also used to expand a model for identifying conceptions and…

This research aimed to develop an assessment tool for students' Positive Experiences about Science (PES). A preliminary version of PSE was developed through literature review, consisting of academic emotion, self-concept, learning motivation, career aspiration, and attitude in science. A pilot test was conducted with 198 students and a main test…

There is a dearth of empirical research on the efficacy of integrated teacher professional development (PD) models, ones that synthesize both online learning and face-to-face teacher PD experiences and interactions. The purpose of this explanatory mixed-methods study was to determine how teachers perceived an integrated PD experience that…

Despite significant research exploring students' quantitative reasoning, few studies have explored the semiotic processes that mediate its development. In this report, we present a case study to show how one student constructed a semiotic chain for a quantity as he worked with a mathematical task. Importantly, we connect frameworks for…

Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

Interest-driven activities, such as mathematical play, can support student agency, motivation, and engagement, and can foster dispositions that reflect authentic disciplinary engagement. However, the bulk of research on mathematical play investigates the mathematics that emerges in young children's natural play or in informal spaces such as video…

We detail a learning progressions approach to early algebra research and how existing work around learning progressions and trajectories in mathematics and science education has informed our development of a four-component theoretical framework consisting of: a curricular progression of learning goals across big algebraic ideas; an instructional…

The aim of the study is to reveal the effect of digital comics material on students' academic success, their views on distance education, course and digital comics. In the study conducted during the 2019-2020 academic year and the pandemic, digital comics material was created in the Pixton design program for the aim of the acquisition of…

This paper reports on the potential for engaging students in an activity that considers the interconnectedness of the five Big Ideas of Statistics in the context of conducting random trials. In the study, two classes of Year 6 students (aged 11-12 years) used "TinkerPlots" to determine the sample space of a "Mystery Spinner."…

The aim of this study is to investigate the impact of online peer feedback in the Information Technologies and Software course on the improvement of collaborative problem-solving skills (CPS), which are considered essential skills for the 21st century. The impact of peer feedback on CPS was designed using a mixed-methods approach that combines…

Research suggests that quality teacher-student relationship promotes student development in various domains including school engagement which consists of behavioral, cognitive, and emotional components. While associations between school engagement and academic achievement have been widely studies, predictors of school engagement have been less…

Statement of Problem: Although there is a rapidly increasing interest in creativity in specific domains such as science and math, there are not enough valid and reliable scales to assess students' creativity in these domains. If mathematical creativity potential can be measured, then the curriculum can be adapted to address the needs of creative…

We present the results of a research project on arithmetic-algebraic thinking that was carried out jointly by a team in Mexico and another in Quebec. The project deals with the concepts of variable and covariation between variables in the sixth grade at the elementary level and the first, second, and third years of secondary school--namely,…