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López-Barrientos, José Daniel; Silva, Eliud; Lemus-Rodríguez, Enrique – Teaching Statistics: An International Journal for Teachers, 2023
We take advantage of a combinatorial misconception and the famous paradox of the Chevalier de Méré to present the multiplication rule for independent events; the principle of inclusion and exclusion in the presence of disjoint events; the median of a discrete-type random variable, and a confidence interval for a large sample. Moreover, we pay…
Descriptors: Statistics Education, Mathematical Concepts, Multiplication, Misconceptions
dos Santos, César Frederico – Journal of Numerical Cognition, 2023
In the literature on numerical cognition, the presence of the capacity to distinguish between numerosities by attending to the number of items, rather than continuous properties of stimuli that correlate with it, is commonly taken as sufficient indication of numerical abilities in cognitive agents. However, this literature does not take into…
Descriptors: Number Concepts, Numeracy, Cognitive Ability, Mathematical Concepts
Mark McCartney – International Journal of Mathematical Education in Science and Technology, 2024
Four variations of the Koch curve are presented. In each case, the similarity dimension, area bounded by the fractal and its initiator, and volume of revolution about the initiator are calculated. A range of classroom exercises are proved to allow students to investigate the fractals further.
Descriptors: Mathematical Concepts, Computation, Equations (Mathematics), Geometric Concepts
Imad Abou-Hayt; Bettina Dahl – IEEE Transactions on Education, 2024
Contribution: This article presents a new look at teaching the Laplace transform for engineering students by emphasizing the obsolescence of the current method of finding the inverse Laplace transform when solving differential equations, and by recognizing the important role of a computer-assisted environment in helping the students understand the…
Descriptors: Engineering Education, Problem Solving, Equations (Mathematics), Computation
Short Activity: Using Computational Thinking to Foster Deeper Understanding of Mathematical Concepts
Ben Zunica – Australian Mathematics Education Journal, 2023
Ben Zunica describes a lesson in which computational thinking has been successful in assisting students to understand the process of simplifying surds. The strengths and limitations of this approach are discussed. The author concludes that computational thinking can assist in solidifying understanding of a range of mathematical processes for…
Descriptors: Computation, Thinking Skills, Mathematical Concepts, Mathematics Instruction
Tirpáková, Anna; Gonda, Dalibor; Wiegerová, Adriana; Navrátilová, Hana – Educational Studies in Mathematics, 2023
The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to…
Descriptors: Mathematics Instruction, Teaching Methods, Instructional Innovation, Mathematical Concepts
O'Rear, Connor D.; Seip, Isabella; Azar, Joanna; Baroody, Arthur J.; McNeil, Nicole M. – Child Development, 2023
This study examined how book features influence talk during shared book reading. We used data from a study in which parent-child dyads (n = 157; child's M[subscript age] = 43.99 months; 88 girls, 69 boys; 91.72% of parents self-reported as white) were randomly assigned to read two number books. The focus was comparison talk (i.e., talk in which…
Descriptors: Books, Reading Strategies, Childrens Literature, Interpersonal Communication
Richard F. Melka; Hashim A. Yousif – International Journal of Mathematical Education in Science and Technology, 2023
In application-oriented mathematics, particularly in the context of nonlinear system analysis, phase plane analysis through SageMath offers a visual display of the qualitative behaviour of solutions to differential equations without inundating students with cumbersome calculations of the plane-phase. A variety of examples is usually given to…
Descriptors: Mathematical Concepts, Mathematical Applications, Problem Solving, Computation
Joseph E. Antonides – ProQuest LLC, 2022
Counting is an intellectual activity that is usually identified with the assignment of positive whole numbers ("1, 2, 3, 4, ...") in one-to-one correspondence with a collection of items in one's attentional field. Taking into account a broader, "combinatorial" meaning of the term, counting extends far beyond this description.…
Descriptors: Undergraduate Students, Computation, Mathematical Concepts, Logical Thinking
Miškovic, Vladimir – Australian Mathematics Education Journal, 2021
Any quadratic function has a line of symmetry going through its vertex; any cubic function has 1800 rotational symmetry around its point of inflection. However, polynomial functions of degree greater than three can be both symmetrical and asymmetrical (Goehle & Kobayashi, 2013). This work considers algebraic conversions of symmetrical quartic…
Descriptors: Algebra, Mathematical Concepts, Mathematical Formulas, Computation
Nicole M. McKevett; Robin S. Codding; Kristin R. Running – Remedial and Special Education, 2024
Preschool students' mastery of early numeracy skills is important, so they enter kindergarten with the necessary prerequisite skills, which are predictive of achievement in later elementary grades. The purpose of this study was to examine the effects of a concrete-representational-abstract (CRA) instructional package on the foundational early…
Descriptors: Preschool Education, Numeracy, Mathematics Skills, Program Effectiveness
Thembinkosi Peter Mkhatshwa – International Journal of Mathematical Education in Science and Technology, 2024
While research on the opportunity to learn about mathematics concepts provided by textbooks at the secondary level is well documented, there is still a paucity of similar research at the undergraduate level. Contributing towards addressing this knowledge gap, the present study examined opportunities to engage in quantitative and covariational…
Descriptors: Mathematics Skills, Thinking Skills, Calculus, Textbooks
Piña-Aguirre, José Gerardo; Farfán Márquez, Rosa María – International Electronic Journal of Mathematics Education, 2023
With the objective of identifying intrinsic forms of mathematical production in complex analysis (CA), this study presents an analysis of the mathematical activity of five original works that contributed to the development of Cauchy's integral theorem. The analysis of the mathematical activity was carried out through the identification of the…
Descriptors: Mathematics Education, Epistemology, Theories, Learning Processes
Zolt, Holly; Wrightsman, Elizabeth; Ford, Lucinda; Patterson, Cody L. – PRIMUS, 2023
We discuss student conceptions of improper integrals and infinity in the context of a second-semester calculus course (in a three-course sequence). Our observations stem from a sequence of activities used in an online course over a three-day period. Throughout the enactment of these activities, students are challenged to develop conceptions of…
Descriptors: Mathematical Concepts, Mathematics Education, Calculus, Online Courses
Hannah Tan; Cynthia Lim – Mathematics Teacher: Learning and Teaching PK-12, 2023
Play allows young children to acquire and practice mathematics skills and concepts while engaging in meaningful and enjoyable activities (Bobis, 2010; Reed & Young, 2018). In particular, open-ended play provides children opportunities to discover materials, explore concepts, and solve problems (Rosli & Lin, 2018) and in the process,…
Descriptors: Preschool Children, Mathematics Skills, Play, Mathematics Activities