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Chen, Lin-An; Kao, Chu-Lan Michael – International Journal of Mathematical Education in Science and Technology, 2022
The uniformly most accurate (UMA) is an important optimal approach in interval estimation, but the current literature often introduces it in a confusing way, rendering the learning, teaching and researching of UMA problematic. Two major aspects cause this confusion. First, UMA is often interpreted to maximize the accuracy of coverage, but in fact,…
Descriptors: Accuracy, Mathematics Instruction, Learning Processes, Probability
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Ayhan Kursat Erbas; Mehmet Fatih Ocal – International Journal of Mathematical Education in Science and Technology, 2024
The purpose of this study was twofold. First, to explore middle and high school students' intuitively-based (mis)conceptions in probability, particularly availability and representativeness heuristics. Second, to investigate teachers' awareness of these intuitively-based (mis)conceptions and the effectiveness of their instructional practices to…
Descriptors: Misconceptions, Heuristics, Middle School Students, High School Students
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Braessas, Zisimos; Patronis, Tasos – International Journal of Mathematical Education in Science and Technology, 2021
In this paper, we investigate the ways in which 15 year-old students conceive interrelated issues of randomness. We deal with these issues of randomness as a whole and not separately from each other, in contrast to the research so far. In order to analyse the students' ways we introduce a modification of Kyburg's Schema [(1974). "The logical…
Descriptors: Student Attitudes, Secondary School Students, Schemata (Cognition), Probability
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An, Song; Hachey, Alyse; Tillman, Daniel; Divis, Danielle; Birdwell, Bryn – International Journal of Mathematical Education in Science and Technology, 2023
The current study was conducted with the goal of helping to address the research gap of improving preservice teachers' pedagogical knowledge about probability by investigating how preservice teachers explored concepts of probability during aleatoric music composition, as well as their contemplation process during follow-up reflections focused on…
Descriptors: Preservice Teachers, Teacher Education Programs, Probability, Pedagogical Content Knowledge
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McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2017
A number of probabilistic experiments are described to estimate e, p and v2, with results from computer simulations being used to investigate convergence. A number of possible classroom exercises and extensions are presented.
Descriptors: Probability, Mathematics Instruction, Computer Simulation, Teaching Methods
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Orosi, Greg – International Journal of Mathematical Education in Science and Technology, 2017
In this paper, we derive the result of the classical gambler's ruin problem using elementary linear algebra. Moreover, the pedagogical advantage of the derivation is briefly discussed.
Descriptors: Algebra, Problem Solving, Elementary School Mathematics, Probability
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Hourigan, Mairéad; Leavy, Aisling M. – International Journal of Mathematical Education in Science and Technology, 2020
Probability education has fast become a contested area, with curriculum authorities in some countries recently suspending its introduction until the post-primary years. In other countries, children as young as 7 years are introduced to informal probability concepts. These recent international shifts in practice have contributed to a paucity of…
Descriptors: Preservice Teachers, Elementary School Teachers, Teacher Educators, Probability
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Weinberg, Aaron; Thomas, Matthew – International Journal of Mathematical Education in Science and Technology, 2018
While 'flipped' classrooms have been heralded as a valuable tool for student learning, little is known about the process by which students learn from the out-of-class resources. This study investigates 12 undergraduate students' sense-making activities while watching videos about topics in introductory statistics. Analysis of interview data…
Descriptors: Academic Achievement, Comprehension, Video Technology, Lecture Method
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Kachapova, Farida; Kachapov, Ilias – International Journal of Mathematical Education in Science and Technology, 2012
This article describes some misconceptions about random variables and related counter-examples, and makes suggestions about teaching initial topics on random variables in general form instead of doing it separately for discrete and continuous cases. The focus is on post-calculus probability courses. (Contains 2 figures.)
Descriptors: Probability, Calculus, Misconceptions, College Mathematics
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Koparan, Timur – International Journal of Mathematical Education in Science and Technology, 2015
The purpose of this study is to define teacher views about the difficulties in learning and teaching middle school statistics subjects. To serve this aim, a number of interviews were conducted with 10 middle school maths teachers in 2011-2012 school year in the province of Trabzon. Of the qualitative descriptive research methods, the…
Descriptors: Statistics, Teaching Methods, Barriers, Learning Problems
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Parker, K. Andrew – International Journal of Mathematical Education in Science and Technology, 2016
Basic arithmetic forms the foundation of the math courses that students will face in their undergraduate careers. It is therefore crucial that students have a solid understanding of these fundamental concepts. At an open-access university offering both two-year and four-year degrees, incoming freshmen who were identified as lacking in basic…
Descriptors: Remedial Mathematics, Mathematics, Mathematics Instruction, Mathematics Education
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Radakovic, Nenad; McDougall, Douglas – International Journal of Mathematical Education in Science and Technology, 2012
This classroom note illustrates how dynamic visualization can be used to teach conditional probability and Bayes' theorem. There are two features of the visualization that make it an ideal pedagogical tool in probability instruction. The first feature is the use of area-proportional Venn diagrams that, along with showing qualitative relationships,…
Descriptors: Geometry, Probability, Cancer, Computer Software
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Pfannkuch, Maxine; Regan, Matt; Wild, Chris; Budgett, Stephanie; Forbes, Sharleen; Harraway, John; Parsonage, Ross – International Journal of Mathematical Education in Science and Technology, 2011
This article sets out some of the rationale and arguments for making major changes to the teaching and learning of statistical inference in introductory courses at our universities by changing from a norm-based, mathematical approach to more conceptually accessible computer-based approaches. The core problem of the inferential argument with its…
Descriptors: Introductory Courses, Statistical Inference, Probability, Inferences
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Griffiths, Barry J.; Haciomeroglu, Erhan Selcuk – International Journal of Mathematical Education in Science and Technology, 2014
To ensure the competitiveness of the USA in the global economy, and its role as a leader in science and engineering, it is important to cultivate the next generation of home grown mathematicians. However, while universities across the USA offer calculus classes to thousands of undergraduate students each year, very few of them go on to major in…
Descriptors: Mathematics, Calculus, Undergraduate Students, Undergraduate Study
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Blanco, Monica; Ginovart, Marta – International Journal of Mathematical Education in Science and Technology, 2010
Little has been explored with regard to introducing historical aspects in the undergraduate statistics classroom in engineering studies. This article focuses on the design, implementation and assessment of a specific activity concerning the introduction of the normal probability curve and related aspects from a historical dimension. Following a…
Descriptors: Engineering Education, College Mathematics, Mathematics Instruction, Statistics
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