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Takahiko Fujita; Naohiro Yoshida – International Journal of Mathematical Education in Science and Technology, 2024
Two novel proofs show that the sum of a specific pair of normal random variables is not normal are established in this note. This is one of the most often misunderstood facts by first-year students in probability theory and statistics. The first proof is concise using the moment generating function. The second proof checks whether the moments of…
Descriptors: Mathematical Logic, Validity, Probability, Statistics
Gandhi, Haneet – Canadian Journal of Science, Mathematics and Technology Education, 2022
This study explores the epistemic considerations that seemed to govern thirty-one Indian teachers' beliefs while teaching certain concepts of probability, especially using random generators. It focuses on knowing how these teachers make transitions between the different interpretations of probability, namely, Logical (sometimes also known as…
Descriptors: Epistemology, Beliefs, Teacher Attitudes, Foreign Countries
Johanna Schoenherr; Stanislaw Schukajlow – ZDM: Mathematics Education, 2024
External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to…
Descriptors: Visualization, Mathematics Education, Educational Research, Pictorial Stimuli
Elbehary, Samah G. A. – Pythagoras, 2021
Interpreting phenomena under uncertainty stands as a substantial cognitive activity in our daily life. Furthermore, in probability education research, there is a need for developing a unified model that involves several probabilistic conceptions. From this aspect, a central inquiry has been raised through this study: how do preservice mathematics…
Descriptors: Preservice Teachers, Mathematics Teachers, Probability, Mathematics Education
Pfannkuch, Maxine; Budgett, Stephanie – International Journal of Research in Undergraduate Mathematics Education, 2017
Although students' understanding of frequency information presented in two-way tables was first explored in the 1990s, there is a surprising lack of research in this area. Furthermore, researchers and practitioners continue to highlight students' difficulties in comprehending probability including concepts related to conditioning. Using an…
Descriptors: Probability, Mathematical Concepts, Mathematics Education, Mathematical Logic
Rash, Agnes M.; Fillebrown, Sandra – PRIMUS, 2016
This article describes various courses designed to incorporate mathematical proofs into courses for non-math and non-science majors. These courses, nicknamed "math beauty" courses, are designed to discuss one topic in-depth rather than to introduce many topics at a superficial level. A variety of courses, each requiring students to…
Descriptors: Mathematics Curriculum, General Education, Mathematics Instruction, Mathematics Education
Taylor, Merilyn; Hawera, Ngarewa – Australian Primary Mathematics Classroom, 2016
Rich learning tasks embedded within a familiar context allow students to work like mathematicians while making sense of the mathematics. This article demonstrates how 11-12 year-old students were able to employ all of the proficiency strands while demonstrating a deep understanding of some of the "big ideas" of probabilistic thinking.
Descriptors: Probability, Educational Games, Mathematics, Mathematics Education
Hawera, Ngarewa; Taylor, Merilyn – Mathematics Education Research Group of Australasia, 2015
In Maori medium schools, research that investigates children's mathematical computation with number and connections they might make to mathematical ideas in other strands is limited. This paper seeks to share ideas elicited in a task-based observation and interview with one child about the number ideas she utilises to solve a problem requiring…
Descriptors: Foreign Countries, Mathematics Education, Computation, Probability
Russo, James – Australian Primary Mathematics Classroom, 2016
This article describes activities in which students deepen their relational understanding of the equals sign through exploring inequalities in a competitive dice game, built around the familiar fairy-tale "The Three Little Pigs" and "The Big Bad Wolf." The activity can be adapted to different abilities by choosing more or less…
Descriptors: Picture Books, Teaching Methods, Class Activities, Mathematics Education
Francisco, John M. – Educational Studies in Mathematics, 2013
The purpose of this study is to contribute insights into how collaborative activity can help promote students' mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students' development of mathematical ideas…
Descriptors: Probability, Mathematics Education, Cooperative Learning, Mathematics
Nikiforidou, Zoi; Pange, Jenny – Early Childhood Education Journal, 2010
Chance, randomness and probability constitute statistical notions that are interrelated and characterize the logicomathematical thinking of children. Traditional theories support that probabilistic thinking evolves after the age of 7. However, recent research has underlined that children, as young as 4, may possess and develop basic notions,…
Descriptors: Symbols (Mathematics), Probability, Preschool Children, Mathematics
Cai, Jinfa, Ed. – National Council of Teachers of Mathematics, 2017
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…
Descriptors: Mathematics Education, Educational Research, Educational Trends, Trend Analysis
Alcock, Lara; Inglis, Matthew – Journal of Mathematical Behavior, 2009
Weber (2009) suggested that counterexamples can be generated by a syntactic proof production, apparently contradicting our earlier assertion (Alcock & Inglis, 2008). Here we point out that this ostensible difference is the result of Weber working with theoretical definitions that differ slightly from ours. We defend our approach by arguing that…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Probability
Sporn, Howard Bruce – ProQuest LLC, 2010
The purpose of this study is to determine whether educators believe mathematics should be taught to liberal arts students, what topics are taught in liberal arts mathematics courses, and what the motivation is for teaching such topics. The study consists of two parts, a review of the opinions of educators regarding liberal arts mathematics, and a…
Descriptors: Mathematics Education, General Education, Logical Thinking, Thinking Skills
Wiest, Lynda R., Ed.; Lamberg, Teruni D., Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
These Proceedings are a written record of the research presented at the 33rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2011) held in Reno, Nevada, October 20-23, 2011. The theme of the conference is Transformative Mathematics Teaching and Learning. The Proceedings…
Descriptors: Mathematics Education, Educational Psychology, Teacher Expectations of Students, Mathematical Logic