Teachers exercising reflexivity through their internal conversations is one of the most important factors in the process of curriculum change. Drawing from Margaret Archer's theory, this research explores teachers' internal conversations in their own descriptions about a range of matters related to curriculum making. Eight secondary school…

A key component of student mathematics achievement relates to the cognitive domains. This paper examines student mathematics achievement in three cognitive domains (knowledge, comprehension, reasoning) as per different achievement grades, across four years (2015, 2016, 2018, 2019), and by gender. This study used the Caribbean Secondary Education…

In this dissertation, I explore ways to support secondary school students' meaningful understanding of quadratic functions. Specifically, I investigate how students co-developed representational fluency (RF) and functional thinking (FT), when they gained meaningful understanding of quadratic functions. I also characterize students' co-emergence of…

Historical reasoning, as a disciplinary literacy, aims to develop higher-order thinking in addition to depth of historical knowledge beyond the textbook and memorization of facts. It teaches students to use information across multiple sources to contextualize and corroborate historical accounts, constructing an informed yet critical interpretation…

We report on findings from two one-on-one teaching experiments with prospective middle school teachers (PTs). The focus of each teaching experiment was on identifying and explicating the mental processes and types of intermediate, supporting reasoning that each PT used in their development of combinatorial reasoning. The teaching experiments were…

Providing ample opportunities for students to express their thinking is pivotal to their learning of mathematical concepts. We introduce the Talk Meter, which provides in-the-moment automated feedback on student-teacher talk ratios. We conduct a randomized controlled trial on a virtual math tutoring platform (n=742 tutors) to evaluate the…

This study aimed to analyze the abstraction process of twelve-grade students' continuity knowledge through the RBC+C abstraction model. With this aim, a semi-constructed interview was conducted with two twelfth-grade students and recorded with a video camera. Two different research problems were addressed in the interview, and the students were…

A study had been conducted in qualitative design employing phenomenology approach to examine the cognitive basis and the semantic structure of phenomena based reasoning of lower secondary school students in Ambon. The data of the study were collected by using a test. Phenomena stimulus of science was given to the informants in the form of…

Geometry is one of the branches of mathematics that we use in many areas of our daily life, perhaps without noticing. For this reason, individuals are geometric thinkers not only in geometry classes; but also in different areas of life. In that case, it is necessary for the individual to acquire geometric habits of mind. The purpose of this study…

Argumentation can contribute significantly to content area learning. Recent research has raised questions about the effects of discussion (deliberation) goals versus persuasion (disputation) goals on reasoning and learning. This is the first study to compare the effects of these writing goals on individual writing to learn. Grade 7 and 8 students…

Abstraction is one of the methods for learning knowledge with using mental processes that cannot be obtained through experiment and observation. RBC model that is based on abstraction in the process of creating knowledge is directly related to mental processes. In this study, the RBC model is used for the high school students' processes of…