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Humenberger, Hans – Australian Mathematics Education Journal, 2022
Two examples of mathematical modelling are explored. Firstly, optimising the distance travelled when jumping from a swing is discussed. The second concerns optimising the distance travelled by monkeys when swinging from branch to branch.
Descriptors: Mathematical Models, Geographic Location, Geometric Concepts, Mathematics Instruction
Ethan Berkove; Ben Galluzzo – PRIMUS, 2024
This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.
Descriptors: Mathematics Education, Undergraduate Study, Mathematical Models, Mathematical Applications
Colona, Nicolette; Kara, Melike; Corum, Kimberly – Australian Mathematics Education Journal, 2022
The Modelling Dance task is a mathematical modelling task that explores the relationship between mathematics and dance. The authors share the task sequence, adaptations made to support virtual implementation, and evidence of student learning related to learning goals.
Descriptors: Mathematical Models, Dance, Mathematical Applications, Geometric Concepts
More, M. – International Journal of Mathematical Education in Science and Technology, 2018
We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…
Descriptors: Mathematics Education, Engineering Education, Mathematical Models, Competition
Abernethy, Gavin M.; McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2017
Two simple discrete-time models of mutation-induced cannibalism are introduced and investigated, one linear and one nonlinear. Both form the basis for possible classroom activities and independent investigative study. A range of classroom exercises are provided, along with suggestions for further investigations.
Descriptors: Classroom Techniques, Class Activities, Investigations, Mathematics Activities
Popelka, Susan R.; Langlois, Joshua – Mathematics Teacher, 2018
"Flatland: A Romance of Many Dimensions" is an 1884 novella written by English schoolmaster Edwin Abbott. He describes what it would be like to live in a two-dimensional (2D) world--Flatland. It is fascinating reading that underscores the challenge of teaching three-dimensional (3D) mathematics using 2D tools. Real-world applications of…
Descriptors: High School Students, Secondary School Mathematics, Calculus, Computer Uses in Education
Seshaiyer, Padmanabhan; Solin, Pavel – International Journal for Technology in Mathematics Education, 2017
In this work, we review and share some useful technology for mathematics educators that can help to enhance their pedagogical practices to motivate students to improve their further understanding of differential equations after an initial exposure to the topic in an undergraduate class. In particular, we present some innovative ways to employ…
Descriptors: Mathematics Education, Technology Uses in Education, College Mathematics, Undergraduate Students
Oldenburg, Reinhard – International Journal for Technology in Mathematics Education, 2015
Quantifier Elimination is a procedure that allows simplification of logical formulas that contain quantifiers. Many mathematical concepts are defined in terms of quantifiers and especially in calculus their use has been identified as an obstacle in the learning process. The automatic deduction provided by quantifier elimination thus allows…
Descriptors: Mathematical Concepts, Mathematical Formulas, Mathematical Applications, Calculus
Cady, Jo Ann; Wells, Pamela – Mathematics Teaching in the Middle School, 2016
The Odd Shape Out task was an open-ended problem that engaged students in comparing shapes based on their properties. Four teachers submitted the work of 116 students from across the country. This article compares various student's responses to the task. The problem allowed for differentiation, as shown by the many different ways that students…
Descriptors: Learner Engagement, Comparative Analysis, Middle School Students, Mathematical Applications
Geiger, Vince; Date-Huxtable, Liz; Ahlip, Rehez; Herberstein, Marie; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian; Mulligan, Joanne – Mathematics Education Research Group of Australasia, 2016
The purpose of this paper is to describe the processes utilised to develop an online learning module within the Opening Real Science (ORS) project--"Modelling the present: Predicting the future." The module was realised through an interdisciplinary collaboration, among mathematicians, scientists and mathematics and science educators that…
Descriptors: Foreign Countries, Instructional Design, Electronic Learning, Preservice Teachers
Hare, Andrew Francis – Collected Essays on Learning and Teaching, 2013
It is surprising to students to learn that a natural combination of simple functions, the function sin(1/x), exhibits behaviour that is a great challenge to visualize. When x is large the function is relatively easy to draw; as x gets smaller the function begins to behave in an increasingly wild manner. The sin(1/x) function can serve as one of…
Descriptors: Visualization, Mathematics Education, Mathematical Applications, Mathematical Models
Holton, Derek; Stacey, Kaye; FitzSimons, Gail – Australian Mathematics Teacher, 2012
The authors illustrate three basic types of reasoning used in mathematics by showing how they operate in practical and mathematical situations. The importance and function of the different types of reasoning in each situation is outlined. As a consequence the authors note that while introducing new techniques by example is good from a pedagogical…
Descriptors: Logical Thinking, Mathematical Logic, Mathematical Applications, Mathematical Formulas
Foster, Colin – Teaching Statistics: An International Journal for Teachers, 2012
This article advocates biased spinners as an engaging context for statistics students. Calculating the probability of a biased spinner landing on a particular side makes valuable connections between probability and other areas of mathematics. (Contains 2 figures and 1 table.)
Descriptors: Statistics, Probability, Statistical Bias, Mathematical Applications
Price, David – MathAMATYC Educator, 2012
Mathematics teachers constantly encourage their students to think independently. The study of integration in calculus provides an excellent opportunity to encourage inventive investigation. In contrast to differentiation, which is predominately mechanical, integration is a more creative process. One such possibility is offered by the study of the…
Descriptors: Calculus, Educational Strategies, Learning Strategies, Teaching Methods
Hirsch, Jenna – MathAMATYC Educator, 2012
A facility with signed numbers forms the basis for effective problem solving throughout developmental mathematics. Most developmental mathematics textbooks explain signed number operations using absolute value, a method that involves considering the problem in several cases (same sign, opposite sign), and in the case of subtraction, rewriting the…
Descriptors: Mathematics Education, Number Concepts, Number Systems, Numbers