In educational settings, reflective thinking is often overlooked, with an excessive emphasis on final answers, resulting in students needing more ability to evaluate and reconstruct their problem-solving processes. The ability for reflective thinking is required by students in solving problems, including numerical problems. This study uses a…

This research explores the impact of integrating Reflective Pedagogy within Mathematical Knowledge for Teaching (MKT), framed by the TPACK model, on enhancing mathematics proficiency in Rwandan Teacher Training Colleges (TTCs). The study involved 433 Year 2 TTC students in the Science and Mathematics Education program using a quasi-experimental…

In this paper I explore the question of what counts as successful implementation of a mathematics professional development (PD) project at scale. Two kinds of upscale are presented and differentiated from one another: upscale of settings and upscale of values, and the link between this differentiation and how success may be defined is discussed.…

Self or formative assessment are terms that, linked to feedback, appear in the literature associated with initiatives aimed at improving the learning process in higher education. Some studies have highlighted the peculiarities of the feedback techniques targeted towards first-year undergraduates, in subjects with a large number of students, or…

One characteristic of a person having a critical thinking disposition is engaging in the activity with reflective skepticism. Skeptical attitudes can encourage a person to reflect so as to produce a correct conclusion and make the right decision. This article aims to determine: (1) the cause of students skeptic in dealing with illlogical…

The article investigates the role of attention in the reflective thinking of school mathematics teachers. It analyses teachers' ability to pay attention to detail and "use" their mathematical knowledge. The vast majority of teachers can be expected to have an excellent knowledge of mathematical techniques. The question examined here is…

An emerging literature demonstrates that relevance interventions, which ask students to produce written reflections on how what they are learning relates to their lives, improve student learning outcomes. As part of a randomized evaluation of a relevance intervention (N = 1,978 students from 82 ninth-grade classes), we used Complier Average Causal…

In this research, the effect of using learning logs in the learning of length subjects of primary school fourth graders was investigated. The study group was composed of 35 state primary school students, determined by an easily accessible sampling method in the province of Tokat in 2014-2015 academic years. The method of the study is an…

This paper focuses on the use of the teaching method Peer-Assisted Reflection (PAR) to help graduate student instructors (GSIs) develop as teachers. PAR engages students in analyzing the work of their peers and providing feedback to promote their abilities of communication, collaboration, and persistence. The goals of the PAR activity were taken…

This is an exploratory study about engaging students in mathematics learning both inside and outside of the classroom of an introductory proof course. The author utilized the framework of scholarship of teaching and learning as a guide to ensure the research process was carried out systematically. This study was conducted through one cycle of…

Background: This article reports contributions of an assessment tool called Portfolio of Evidence (PE) in learning college geometry. Material and methods: Two classes of second-year students from one Ethiopian teacher education college, assigned into Treatment and Comparison classes, were participated. The assessment tools used in the Treatment…

This is a quasi-experimental study that explored the effects of reflective learning on prospective teachers' conceptual understanding, critical thinking, problem solving, and mathematical communication skills and the relationship of these variables. It involved 60 prospective teachers from two basic mathematics classes of an institution of higher…

The purpose of this research is to develop mathematical learning models that accommodate the cognitive styles reflective vs. impulsive students to build problem-solving skills, quality (valid, practical, and effective). To achieve the target would do research development (development research) and method development that consists of five stages,…

"Specific Mathematics Assessment that Reveal Thinking" (abbreviated as "smart tests") provide an on-line formative assessment of middle years students. They aim to put information from research on students' understanding directly into the hands of teachers, by providing quick automated diagnosis of learning for all students in…

Thus far, it is unclear how students can learn most effectively from their own errors. In this study, reflections on the rationale behind self-made errors are assumed to enhance knowledge acquisition. In a field experiment with pre/post/follow-up design, the authors practiced fractions with 174 seventh- and eighth-grade students who were randomly…