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Lesser, Lawrence M.; Pearl, Dennis K. – Teaching Statistics: An International Journal for Teachers, 2022
Thinking probabilistically is an essential part of thinking statistically, and the probability learning objectives that this article focuses on are those that are important in the underpinning of statistics and statistical models. Like mathematical statistics, probability can be considered purely from a mathematical viewpoint, but the focus here…
Descriptors: Statistics Education, Mathematical Concepts, Thinking Skills, Probability
William D. Riihiluoma; Zeynep Topdemir; John R. Thompson – Physical Review Physics Education Research, 2024
One expected outcome of physics instruction is for students to be capable of relating physical concepts to multiple mathematical representations. In quantum mechanics (QM), students are asked to work across multiple symbolic notations, including some they have not previously encountered. To investigate student understanding of the relationships…
Descriptors: Quantum Mechanics, Mathematical Concepts, Knowledge Level, College Students
William D. Riihiluoma; Zeynep Topdemir; John R. Thompson – Physical Review Physics Education Research, 2025
The ability to relate physical concepts and phenomena to multiple mathematical representations--and to move fluidly between these representations--is a critical outcome expected of physics instruction. In upper-division quantum mechanics, students must work with multiple symbolic notations, including some that they have not previously encountered.…
Descriptors: Undergraduate Students, College Faculty, Physics, Science Instruction
Monika Post; Susanne Prediger – Mathematics Education Research Journal, 2024
Multiple representations can enhance students' understanding of mathematical concepts and complex information but can also pose well-documented challenges for students. Whereas instructional designs have been optimized to support students' "learning" with multiple representations, little is known about supportive "teaching"…
Descriptors: Teaching Methods, Mathematical Concepts, Instructional Design, Secondary School Mathematics
Lisa J. Elliott; Joan Middendorf – International Journal for the Scholarship of Teaching and Learning, 2024
Teaching and learning undergraduate statistics has been a most challenging task for undergraduate psychology majors (Salkind, 2017). A seasoned statistics instructor consulted with a seasoned instructional designer on a method to improve a particularly demanding course using a performance improvement approach to address learning difficulties she…
Descriptors: Undergraduate Students, Psychological Studies, Statistics Education, Teaching Methods
Anything Lorenz Curves Can Do, Top Shares Can Do: Assessing the TopBot Family of Inequality Measures
Jasso, Guillermina – Sociological Methods & Research, 2020
Newly precise evidence of the trajectory of top incomes in the United States and around the world relies on shares and ratios, prompting new inquiry into their properties as inequality measures. Current evidence suggests a mathematical link between top shares and the Gini coefficient and empirical links extending as well to the Atkinson measure.…
Descriptors: Measurement, Disadvantaged, Sociology, Income
Tim Erickson – Australian Mathematics Education Journal, 2024
This is the third in a series of articles describing CODAP and where it might be used to address content in the "Australian Curriculum: Mathematics" v9.0 (ACARA, 2022). We've talked before about model-ling and about statistics; this time, we'll talk about exploring probability using CODAP. As before, we have also prepared online pages…
Descriptors: Statistics Education, Data Analysis, Mathematical Concepts, Mathematics Curriculum
Hou, Juncheng; Nadarajah, Saralees – International Journal of Mathematical Education in Science and Technology, 2019
It is well known that two events A and B are independent if and only if . Here, we derive a condition for independence not well known. We then extend the condition for independence of n events.
Descriptors: Probability, Mathematical Concepts, Mathematics Education
Shengqing He; Chen Chen – International Journal of Science and Mathematics Education, 2025
Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…
Descriptors: Foreign Countries, Middle School Mathematics, Middle School Students, Mathematics Instruction
Núria Planas; José M. Alfonso; Alberto Arnal-Bailera; Verónica Martín-Molina – ZDM: Mathematics Education, 2024
Research shows the salient place of mathematical teaching talk, including the mathematical-linguistic practices of naming and explaining, in the enactment of students' mathematical talk and learning with understanding in the classroom. Our study was developed to examine the noticing of two groups of secondary-school mathematics teachers in one-day…
Descriptors: Mathematics Instruction, Naming, Teaching Methods, Mathematics Teachers
Ergene, Özkan – International Journal of Mathematical Education in Science and Technology, 2022
In this study, it was aimed to examine the probability problems which were posed based on continuous sample space and discrete sample space. Participants of the study consisted of 48 university students selected by using the convenience sampling method. Eight tasks related to continuous and discrete variables were designed by the researcher. Eight…
Descriptors: Mathematics Instruction, Probability, Problem Solving, Undergraduate Students
Hull, Michael M.; Jansky, Alexandra; Hopf, Martin – Studies in Science Education, 2021
In this literature review, we survey student naïve ideas (frequently referred to as 'misconceptions') that plausibly relate, at least in part, to difficulty in understanding probability. We collected diverse naïve ideas from a range of topics in physics: Non-linear Dynamics; Cosmology; Thermal Physics; Atomic, Nuclear, and Particle Physics;…
Descriptors: Probability, Science Instruction, Physics, Misconceptions
Karen De Keersmaeker; Patrick Onghena; Wim Van Dooren – Educational Studies in Mathematics, 2024
Mathematical language (or the content-specific words in mathematics) has repeatedly shown to be related to mathematical abilities in preschool and in the early grades of primary education. Research in this field has predominantly focused on young children's quantitative and spatial language. At the same time, recent research has discovered that…
Descriptors: Mathematics Instruction, Mathematical Concepts, Elementary School Students, Academic Language
Molitoris-Miller, Susanna; Hillen, Amy – Mathematics Teacher: Learning and Teaching PK-12, 2021
This article presents ways to explore mathematical concepts using Catan, a popular board game. After a brief overview of game play, we explore considerations with many potential entry points for mathematical modeling, such as which resource is the best, which resources will be rare or plentiful, where to build, and risk assessment.
Descriptors: Games, Teaching Methods, Mathematics Instruction, Mathematical Concepts
Sulfiah, Sitti Karimah; Cholily, Yus Mochamad; Subaidi, Agus – Journal of Research and Advances in Mathematics Education, 2021
The ability to understand mathematics is a faculty crucial to be possessed by pre-service teachers who will enter into the education sphere. It is one of the professional competencies essential for teachers since satisfactory lessons' delivery engenders more comprehensible instruction in teachers' students. Qualitative research employs a…
Descriptors: Teacher Competencies, Preservice Teachers, Mathematics Teachers, Probability