Research in mathematics education has overlooked creativity in mathematics, partially because of a lack of an accepted definition of mathematical creativity. The present study investigates elementary pre-service teachers' (PSTs') conceptions of creativity in teaching and learning mathematics. Data were collected using observations and…

This paper presents an analysis of the classroom events that a group of future teachers of Secondary Education mathematics identified from their own experience when using GeoGebra to solve problems. The data analyzed are from the written materials by twelve mathematics majors who were studying the Mathematics for Teaching course. The students, in…

We present a technique that examines handwritten equations from a student's solution to an engineering problem and from this estimates the correctness of the work. More specifically, we demonstrate that lexical properties of the equations correlate with the grade a human grader would assign. We characterize these properties with a set of features…

Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and…

In "Principles to Actions: Ensuring Mathematical Success for All," NCTM (2014) defines productive struggle as students delving "more deeply into understanding the mathematical structure of problems and relationships among mathematical ideas, instead of simply seeking correct solutions" (p. 48). Hiebert and Grouws (2007, p. 387)…

In mathematics classrooms, it is common practice to work through a series of comparable tasks provided in a textbook. A central question in mathematics education is if tasks should be accompanied with solution methods, or if students should construct the solutions themselves. To explore the impact of these two task designs on student behavior…

Purpose -- This article comprehensively examines the existing body of literature about the assessment tools employed for evaluating higher-order thinking skills (HOTS) in mathematics within the last five years. The study endeavors to offer a comprehensive overview of measuring instruments for HOTS in mathematics, utilizing precise and up-to-date…

This study aims to test the effectiveness of GeoGebra Augmented Reality in improving students' mathematical problem-solving skills. The method used is a quasi-experiment with a posttest-only control group design. The research population is students of the Mathematics Education Study Program at a private university in Indonesia, with a sample of 32…

This qualitative case study, grounded within the interpretive paradigm, analyzed the errors and misconceptions made by 11th-grade learners when tackling the tangent-chord theorem task in Euclidean geometry. Studying Euclidean geometry helps learners develop critical thinking skills, such as constructing arguments and applying logical reasoning.…

This study explored how students develop and demonstrate resilience when prompted with mathematical problems. Anchored on the Three-Dimensional Resilience Theory in Mathematical Problem Solving, a multiple case study was conducted on thirteen (13) purposively selected students from a public senior high school in Davao City, Philippines. The…

Mathematical problem-posing (MPP) offers an alternative to teacher-directed approaches by encouraging students to create and solve their own problems. While MPP is supported by the Australian Curriculum and empirical research has increased over the last decade, implementation in classrooms is still limited. Using The Theory of Practice…

Students learn mathematics best when they actively explore problems, connect solution methods, and synthesize ideas at just the right moment. Yet in many classrooms, this balance tips too quickly toward telling students how to solve problems, leaving less room for them to do the real mathematical work. "Teaching Mathematics Through Problem…

The lack of sufficiently developed methodological basis before graduation adversely affects the mathematical competency of future experts that are required by the modern economy. The study aims to investigate the features of the development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of…

In this paper we present a qualitative analysis based on data collected by means of an eye-tracker tool, concerning the outcome of a mathematical analysis question administered to a group of candidates of university level or higher. One of the research aims is to highlight similarities and differences in the visual observation of the question…

Mathematics is a particularly notable domain in which to understand the role of body movement for improving reasoning, instruction, and learning. One reason is that mathematics ideas are often expressed and taught through disembodied formalisms--diagrams and symbols that are culturally designed to be abstract, amodal, and arbitrary (Glenberg et…