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Gary A. Olson; Heather Lynn Johnson; Rebecca Robinson; Robert Knurek; Kristin A. Whitmore – PRIMUS, 2024
Inverse and injective functions are topics in most college algebra courses. Yet, current materials and course structures may not afford students' conceptual understanding of these important ideas. We describe how students' work with digital activities, "techtivities," linking two different looking graphs that represent relationships…
Descriptors: College Mathematics, Algebra, Mathematics Instruction, Mathematical Concepts
Jeffrey A. Anderson; Bryan B. Nguyen – PRIMUS, 2024
Many students who enroll in a first course in linear algebra major in STEM disciplines other than mathematics. Teachers who serve such students may find it difficult to provide authentic problems from these broader areas that ignite students' interest in linear algebra. In this paper, we highlight an interdisciplinary learning activity that…
Descriptors: Mathematics Instruction, Algebra, Graphs, Majors (Students)
Olson, Gary A.; Johnson, Heather Lynn – PRIMUS, 2022
Students enrolled in introductory math courses, such as college algebra, deserve to do more than find answers and fix mistakes. We present one interactive digital activity, the Cannon Man "Techtivity," which we developed to provide opportunities for students to develop an understanding of function, beyond just applying a rule, such as…
Descriptors: Mathematics Instruction, College Mathematics, Introductory Courses, Algebra
Sokolowski, Andrzej – Physics Education, 2019
This paper is a continuation of an earlier discussion in this journal about adhering to principles of mathematics while presenting function graphs in physics. As in the previous paper, the importance of the vertical line test was examined, this paper delves more in-depth, and it pinpoints a need for presenting graphs with a continuous rate of…
Descriptors: Graphs, Physics, Mathematics Education, Calculus
Philip Slobodsky; Mariana Durcheva; Leonid Kugel – International Journal for Technology in Mathematics Education, 2024
This paper highlights the new enhancements of the Halomda platform designed to improve students' learning and exam preparation. The new features include a Graph Plotter, Algebraic Calculator and Context ChatGPT Recommended Key Guidelines. The use of these features is demonstrated though a working example of solving a double integral, illustrating…
Descriptors: Test Preparation, Mathematics Tests, Student Improvement, Graphs
Frank, Kristin – Mathematics Teacher: Learning and Teaching PK-12, 2021
This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…
Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods
Nemirovsky, Ricardo; Ferrara, Francesca; Ferrari, Giulia; Adamuz-Povedano, Natividad – Educational Studies in Mathematics, 2020
This paper focuses on the emergence of abstraction through the use of a new kind of motion detector--WiiGraph--with 11-year-old children. In the selected episodes, the children used this motion detector to create three simultaneous graphs of position vs. time: two graphs for the motion of each hand and a third one corresponding to their…
Descriptors: Motion, Algebra, Mathematics Instruction, Computer Software
Roepke, Tena L. – Australian Senior Mathematics Journal, 2018
Discovery learning has long been a part of mathematics teaching in the elementary and middle grades. Since the 1960s and 1970s, based on the work of Jean Piaget, Jerome Bruner, and others, helping students 'discover' or 'construct' their own understandings of mathematical concepts through well-designed activities facilitated by a competent teacher…
Descriptors: Mathematics Instruction, Mathematical Concepts, Calculus, Concept Formation
Quinnell, Lorna – Australian Primary Mathematics Classroom, 2018
Successful mathematical problem-solving relies on choices about how best to represent and solve problems. In this article, a range of methods and strategies are presented for solving a single mathematical problem, including novel methods posed by in-service teachers at one Australian university. The variety of problem-solving strategies rely on…
Descriptors: Problem Solving, Selection, Mathematics, Methods
Meagher, Michael S.; Edwards, Michael Todd; Özgün-Koca, S. Asli – Mathematics Teacher: Learning and Teaching PK-12, 2021
Too often, high school algebra students encounter topics in a discrete, disconnected fashion. In the authors' first years of teaching, they found students to be adept at solving problems they were currently studying; for instance, they could solve quadratics during a quadratics unit. Too often, however, students struggled with that same content…
Descriptors: High School Students, Mathematics Instruction, Algebra, Problem Solving
Ekici, Celil; Gard, Andrew – PRIMUS, 2017
In a series of group activities supplemented with independent explorations and assignments, calculus students investigate functions similar to their own derivatives. Graphical, numerical, and algebraic perspectives are suggested, leading students to develop deep intuition into elementary transcendental functions even as they lay the foundation for…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Formulas
Jungck, John R. – PRIMUS, 2022
Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Learning Modules
Ferguson, Sarah – Mathematics Teaching in the Middle School, 2019
Building sets, video games, and scatterplots may seem unrelated, but when they are combined into a problem-based learning (PBL) lesson, these elements join to create a unique learning experience. PBL lessons drive instruction by focusing learning and activities around a central challenge or question while providing a relevant, captivating, and…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Based Learning, Problem Solving
Wu, Lina; Li, Ye – Journal of Education and Learning, 2018
Teaching mathematics by project-based learning (PBL) method on the use of educational technology offers an innovative teaching pedagogy at college. The "World Culture Art Created with Calculus Graphs of Equations" poster project was designed by the first author and was completed in the pilot Calculus course during the spring 2016…
Descriptors: Teaching Methods, Mathematics Instruction, Student Projects, College Mathematics
Selby, Christina – PRIMUS, 2016
Linear algebra students are typically introduced to the problem of how to convert from one coordinate system to another in a very abstract way. Often, two bases for a given vector space are provided, and students are taught how to determine a transition matrix to be used for changing coordinates. If students are successful in memorizing this…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Algebra