Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

The purpose of this qualitative research study was to explore the drawbacks and benefits of teaching various levels of secondary mathematics using the theoretical frameworks of positioning theory and micropolitical theory. This problem of practice was brought to my attention by the National Council of Teachers of Mathematics (NCTM) when they…

While in traditional mathematics teaching methods, it is possible to prove concepts while teaching geometry and to reach generalizations that require more complex definitions by using concept findings, while in today's geometry teaching, learning that activates the student's discovery process gains importance. In this context, the aim of this…

Spatial ability is frequently encountered in professional disciplines and daily life. In general, it includes abilities such as rotating objects, estimating the appearance of objects based on a person's position, and being able to think of open and closed forms of three-dimensional objects. It is essential in learning and teaching geometry. In…

The significance of mathematical creativity cannot be undervalued. Encouraging creativity in learning can increase student rigor, foster greater learning engagement, and promote a thirst for knowledge both inside and outside of school. However, researchers have identified that research on mathematical creativity has not been foregrounded.…

Negative emotions such as mathematics anxiety (MA) may lead to the avoidance of mathematics, which can have dire consequences for future career-related decisions. This paper compared Grade 10 learners' levels of trait-MA with perceived MA according to the type of school and gender. Both quantitative and qualitative data through a survey conducted…

We conducted a literature review to describe the conceptual use of "noticing" in pivotal mathematics and science education publications from 2002 to 2022 by tracing the language and ideas used to describe and study teacher noticing. Results from 12 highly cited or recently written publications indicated substantial differences in the…

The purpose of this study is to investigate different aspects of teachers' orientations toward students' writing in high school mathematics. I used an embedded case study design (Yin, 2018) across the cases of three teachers whose instruction had previously been found to be dialogically focused -- i.e., made use of high-level tasks, presented…

This study explores opportunities to learn definite integrals in three widely used textbooks in the U.S. Definitions, worked examples, and exercise problems were coded using research-based cognitive resources in definite integrals. The results show that limited opportunities for students to explore multiplicative relationship between two…

This study examines the current Turkish primary school 4th-grade Mathematics textbook through the core values settled in the curriculums to mediate relevant (sub)values by the Turkish Board of Education (BoE). The core and sub-values were investigated through the defined aspects of inclusion, intensity, reflection, and mediation status. This…

Many math educators are grappling with ways to make their instruction more culturally responsive to improve their students' feelings of belonging, perceptions of relevance, and academic learning outcomes. To learn more about how to facilitate the application of innovative and promising practices in math classrooms, a continuous improvement…

Large Language Models have recently achieved high performance on many writing tasks. In a recent study, math word problems in Carnegie Learning's MATHia adaptive learning software were rewritten by human authors to improve their clarity and specificity. The randomized experiment found that emerging readers who received the rewritten word problems…

The use of online learning objects in teaching algebra is examined in this research, emphasizing its benefits, such as accessibility, flexibility, interactive involvement, differentiated instruction, quick feedback, and links to real-world situations. Strategies include conceptual comprehension, interactive practice, individualized learning,…

The "remembered success effect" (Finn, 2010) refers to the finding that challenging academic tasks that start or end with extra opportunities for success are often preferred to challenging tasks that do not include these opportunities. Research on the remembered success effect has identified some memory processes that are thought to give…

Does the mathematics course taught with logical reasoning methods have an effect on the success of students in skill-based questions and what are the students' views on teaching? Based on this problem, it was aimed to examine the effect of the mathematics course taught with logical reasoning methods on the success of students in skill-based…