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Moshe Stupel; Jay M. Jahangiri – International Journal of Mathematical Education in Science and Technology, 2025
In this article, we state an interesting geometric conservation property between the three angle bisectors of three similar right triangles and provide a proof without words for its justification. A GeoGebra applet is also presented to help with the understanding of the progression of the proof from inductive to deductive stage.
Descriptors: Geometry, Mathematics Instruction, Computer Software, Teaching Methods
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Jaiteg Singh; Nandini Modi – Interactive Learning Environments, 2024
Eye gaze tracking has recently become indispensable for domains like virtual reality, augmented reality, human-computer interaction and advertisement. The commercial eye gaze tracking equipment is too expensive to be used by the masses. In this manuscript, a non-invasive, low-resolution ordinary camera-based system has been proposed for tracking…
Descriptors: Eye Movements, Attention, Validity, College Students
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Xiaoheng Yan; Gila Hanna – International Journal of Mathematical Education in Science and Technology, 2025
As new technological developments continue to change the educational landscape, it is not an exception in the area of proof and proving. This classroom note introduces the use of one of the trending proofs assistants -- the Lean theorem prover. We first provide a technical account of Lean, then exemplify Lean proofs in propositional logic, number…
Descriptors: Mathematics Instruction, Undergraduate Students, Mathematical Logic, Validity
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David Fraivert; Moshe Stupel – International Journal for Technology in Mathematics Education, 2024
Problem solving and proofs have always played a major role in mathematics. They are, in fact, the heart and soul of the discipline. The using of a number of different proof techniques for one specific problem can display the beauty, and elegance of mathematics. In this paper, we present one specific, interesting geometry problem, and present four…
Descriptors: Geometry, Problem Solving, Mathematics Instruction, Validity
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Mizutani, Shosuke; Zhou, Yi; Tian, Yu-Shi; Takagi, Tatsuya; Ohkubo, Tadayasu; Hattori, Satoshi – Research Synthesis Methods, 2023
Meta-analysis of diagnostic test accuracy (DTA) is a powerful statistical method for synthesizing and evaluating the diagnostic capacity of medical tests and has been extensively used by clinical physicians and healthcare decision-makers. However, publication bias (PB) threatens the validity of meta-analysis of DTA. Some statistical methods have…
Descriptors: Meta Analysis, Diagnostic Tests, Accuracy, Publications
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Hyunsook Youn; Nancy Park; Ryan Michael Murphy – Communication Teacher, 2025
Courses: This activity can be used in writing-based (communication) courses across various disciplines including, but not limited to, introduction to writing and rhetoric, business communication, and communication research methods. Objectives: On completion of this activity, students will develop critical reading, thinking, and writing skills as…
Descriptors: Artificial Intelligence, Writing Skills, Writing Exercises, Computer Software
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Recep Aslaner; Aziz Ilhan – Pedagogical Research, 2024
GeoGebra is a dynamic software that is frequently used and of increasing importance in mathematics teaching processes in our digital age. Accordingly, in this study a new perspective has been brought to the proofs of the "two square difference identity" expressed for the square, which is a flat polygon, made with different approaches.…
Descriptors: Geometry, Mathematics Instruction, Computer Software, Teaching Methods
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Jiangang Hao; Alina A. von Davier; Victoria Yaneva; Susan Lottridge; Matthias von Davier; Deborah J. Harris – Educational Measurement: Issues and Practice, 2024
The remarkable strides in artificial intelligence (AI), exemplified by ChatGPT, have unveiled a wealth of opportunities and challenges in assessment. Applying cutting-edge large language models (LLMs) and generative AI to assessment holds great promise in boosting efficiency, mitigating bias, and facilitating customized evaluations. Conversely,…
Descriptors: Evaluation Methods, Artificial Intelligence, Educational Change, Computer Software
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Victor Oxman; Moshe Stupel – International Journal for Technology in Mathematics Education, 2023
PWW style are presented. The difference of evidence is based on various additional auxiliary constructions, which in itself is a "mathematical art" that the student can master as a result of much practice. The PWW are accompanied by GeoGebra applets containing HINT buttons that allow the student to get step-by-step help in completing the…
Descriptors: Computer Software, Mathematics Instruction, Mathematical Logic, Validity
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Keith Francis Ratumbuisang; Uun Hariyanti; Godham Eko Saputro; Yan Amal Abdilah – Education and Information Technologies, 2024
As technology advances, virtual museums have gained popularity as a new form of learning resources. However, persuading audiences to absorb and comprehend a tremendous volume of information in an unregulated online environment is the challenge. Considering the use of an online application in educational practice, collaborative teamwork can be…
Descriptors: Story Telling, College Students, Student Attitudes, Computer Simulation
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Selin Urhan; Yilmaz Zengin – International Journal of Research in Undergraduate Mathematics Education, 2024
The purpose of this study is to examine the performances of university students' using dynamic mathematics software GeoGebra in argumentations and proving processes. A task related to the limit involving "sinx/x" was designed and 18 university students worked on the task during the collaborative learning, scientific debate, and…
Descriptors: Persuasive Discourse, Mathematical Logic, Validity, Computer Software
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Hadis Anahideh; Nazanin Nezami; Abolfazl Asudeh – Grantee Submission, 2025
It is of critical importance to be aware of the historical discrimination embedded in the data and to consider a fairness measure to reduce bias throughout the predictive modeling pipeline. Given various notions of fairness defined in the literature, investigating the correlation and interaction among metrics is vital for addressing unfairness.…
Descriptors: Correlation, Measurement Techniques, Guidelines, Semantics
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Oxman, Victor – International Journal of Mathematical Education in Science and Technology, 2022
In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the…
Descriptors: Geometric Concepts, Concept Formation, Validity, Mathematics Instruction
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Shermis, Mark D. – Journal of Educational Measurement, 2022
One of the challenges of discussing validity arguments for machine scoring of essays centers on the absence of a commonly held definition and theory of good writing. At best, the algorithms attempt to measure select attributes of writing and calibrate them against human ratings with the goal of accurate prediction of scores for new essays.…
Descriptors: Scoring, Essays, Validity, Writing Evaluation
Maria Cerrato-Alvarez; Samuel Frutos-Puerto; Eduardo Pinilla-Gil – Journal of Chemical Education, 2024
Calculating analytical uncertainties as a part of method validation is a relevant aspect of field and laboratory practices in instrumental analytical chemistry subjects, which usually require complex algorithms. This work describes the development and didactic use of an automatic and straightforward informatics tool, implemented in an Excel macro,…
Descriptors: Computation, Computer Software, Teaching Methods, Knowledge Level
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