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Student Approaches to Generating Mathematical Examples: Comparing E-Assessment and Paper-Based Tasks
George Kinnear; Paola Iannone; Ben Davies – Educational Studies in Mathematics, 2025
Example-generation tasks have been suggested as an effective way to both promote students' learning of mathematics and assess students' understanding of concepts. E-assessment offers the potential to use example-generation tasks with large groups of students, but there has been little research on this approach so far. Across two studies, we…
Descriptors: Mathematics Skills, Learning Strategies, Skill Development, Student Evaluation
Demetra Pitta-Pantazi; Eleni Demosthenous; Maike Schindler; Achim J. Lilienthal; Constantinos Christou – Educational Studies in Mathematics, 2025
There is growing evidence that the ability to perceive structure is essential for students' mathematical development. Looking at students' structure sense in basic numerical and patterning tasks seems promising for understanding how these tasks set the foundation for the development of later mathematical skills. Previous studies have shown how…
Descriptors: Eye Movements, Grade 1, Elementary School Students, Mathematics Instruction
Nadya Syifa Utami; Sufyani Prabawanto; Didi Suryadi – Journal on Mathematics Education, 2024
The conception of functions, defined as the relationship between magnitudes or sets of ordered pairs, varies among students depending on the contextualization of the concept within the curriculum, notably in school textbooks. This investigation endeavors to scrutinize the approach taken by Indonesian textbooks in introducing the function concept…
Descriptors: Foreign Countries, Mathematics Instruction, Grade 8, Teaching Methods
George Kinnear – Research in Mathematics Education, 2024
Prompting learners to generate examples has been proposed as an effective way of developing understanding of a new concept. However, empirical support for this approach is lacking. This article presents two empirical studies on the use of example-generation tasks in an online course in introductory university mathematics. The first study compares…
Descriptors: Comparative Analysis, Classification, Task Analysis, Mathematics Instruction
Maria Nielsen Stewart; Noah Brown; Amber Candela; Samuel Otten; Zandra de Araujo – Mathematics Teacher: Learning and Teaching PK-12, 2025
The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…
Descriptors: Teaching Methods, Mathematics Instruction, Persuasive Discourse, Task Analysis
Karen S. Karp; Sarah B. Bush; Barbara J. Dougherty – Mathematics Teacher: Learning and Teaching PK-12, 2025
Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…
Descriptors: Teaching Methods, Mathematics Instruction, Arithmetic, Mathematical Concepts
J. Caleb Speirs; MacKenzie R. Stetzer; Beth A. Lindsey – Physical Review Physics Education Research, 2024
Over the course of the introductory calculus-based physics course, students are often expected to build conceptual understanding and develop and refine skills in problem solving and qualitative inferential reasoning. Many of the research-based materials developed over the past 30 years by the physics education research community use sequences of…
Descriptors: Physics, Science Education, Network Analysis, Calculus
Raynetta K. Wiggins – ProQuest LLC, 2024
Through instructional tasks, teachers can present content in ways that require students to apply critical thinking, problem-solving, and other cognitive skills. The purpose of this mixed methods collective case study was to determine how teacher-assigned instructional tasks in mathematics impact students' learning of mathematical concepts. In this…
Descriptors: Teaching Methods, Mathematics Instruction, Task Analysis, Mathematical Concepts
Huiyan Ye; Oi-Lam Ng; Allen Leung – ZDM: Mathematics Education, 2024
There has been a renewed interest in creativity as a twenty-first century skill in K-12 mathematics education. However, previous research has paid less attention to creative actions than to other learning outcomes, which are often product- instead of process-based, especially in a programming context. Thus, situated in the context of mathematical…
Descriptors: Mathematics Instruction, Mathematics Teachers, Faculty Development, Learning Processes
José María Gavilán-Izquierdo; Inés Gallego-Sánchez – Journal of Education for Teaching: International Research and Pedagogy, 2025
This research considers the need to train teachers who can effectively integrate technology for teaching and learning mathematics. The primary goal of this research is to showcase a successful training experience by identifying and describing some indicators of the technological pedagogical content knowledge acquired by pre-service early childhood…
Descriptors: Technological Literacy, Pedagogical Content Knowledge, Mathematics Instruction, Mathematical Concepts
Bingyi Liu; Keke Yu; John W. Schwieter; Peiling Sun; Ruiming Wang – International Journal of Bilingual Education and Bilingualism, 2024
The relationship between language switching and task switching has been well studied in bilingualism literature. This study employs novel experiments involving magnitude-parity switching and transparency-orientation switching and compares the costs associated with these two types of task switching with language switching. Switching costs and the…
Descriptors: Correlation, Psycholinguistics, Code Switching (Language), Bilingualism
Samuel Kenney; Forster D. Ntow – SAGE Open, 2024
This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…
Descriptors: Problem Solving, Algebra, Mathematics Instruction, Low Achievement
Jennifer Goldin-Weeks – ProQuest LLC, 2024
While contemporary mathematics education literature argues that curricular resources, such as textbooks, play a significant role guiding mathematics teachers in what and how they teach, it also shows that these resources often do not do what they say they will do, nor adhere to the standards they claim to further. When it comes to the most…
Descriptors: Mathematics Instruction, Web Sites, Textbooks, Common Core State Standards