This paper aims at using a Use-Modify-Create approach to explore students' mathematical problem solving by means of computational thinking (CT) and programming activities. The data collection method is participant observation, in which the researcher also has the role as teacher, guiding the group activities. In our study, two groups of students…

Computers and smart devices have become ubiquitous staples of our lives. Computers and computer-controlled devices are used in all industries from medicine to engineering, and textile production. One field where computers have inevitably spread into is education, and one pre-requisite of controlling computers, or increasing the level and…

Participation of undergraduate students in research helps them nurture critical thinking, develop research skills, enhance self-confidence, and clarify their education or career paths. The curriculum is central to integrating teaching and research, and is a primary source for providing undergraduate research experience. This study designed a…

This paper describes a high school or introductory university course in scientific programming that introduces the computer revolution into the physics curriculum at the beginning. In the first one-hour lecture, Euler's method is presented and used to compute a solution to the analytically unsolvable two-body problem. In the remainder of the…

Today's children need learning opportunities from cradle to career that build the knowledge and skills necessary to thrive in our interconnected and constantly changing world. This means putting 21st century skills, including creativity, innovation, critical thinking, and problem solving, at the center of learning, both in and out of school. As…

The emphasis in several courses at technical faculties is on using a computer to perform numerical methods. Instead of focusing on mathematical rigorousness such courses usually concentrate on demonstrating the practical usage of numerical mathematical methods to the students. The practical usage of numerical methods is best learned by exposing…

The perspective that computing and computational thinking (CT) are necessary competencies for the 21st century is increasingly pervasive. Computational concepts and methods--problem solving, designing systems, refining the steps in a process, and tinkering toward creative solutions--are relevant in nearly every discipline, profession, and…

In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. I examined secondary students' work on a problem involving modeling the periodic motion of a Ferris wheel through the use of a visual programming environment.…

This article is written to share teaching ideas about using commonly available computer applications--a spreadsheet, "The Geometer's Sketchpad", and "Wolfram Alpha"--to explore three classic and historically significant problems from the probability theory. These ideas stem from the authors' work with prospective economists,…

US high school (HS) students are lagging behind their foreign peers in math performance. It is thus necessary to design teaching modules that motivate US HS students to learn more math and to improve their math skills. Our study set out to test two different software programs designed for the development of such skills. MATLAB Simulink provides a…

The Scientific Computing for Chemists course taught at Wabash College teaches chemistry students to use the Python programming language, Jupyter notebooks, and a number of common Python scientific libraries to process, analyze, and visualize data. Assuming no prior programming experience, the course introduces students to basic programming and…

Written communication and computer programming are foundational components of an undergraduate degree in the mathematical sciences. All lower-division mathematics courses at our institution are paired with computer-based writing, coding, and problem-solving activities. In multivariable calculus we utilize MATLAB and LATEX to have students explore…

Automated theorem proving (ATP) for Propositional Classical Logic is an algorithm to check the validity of a formula. It is a very well-known problem which is decidable but co-NP-complete. There are many algorithms for this problem. In this paper, an educationally oriented implementation of Semantic Tableaux method is described. The program has…

In Taiwan elementary schools, Scratch programming has been taught for more than four years. Previous studies have shown that personal annotations is a useful learning method that improve learning performance. An annotation-based Scratch programming (ASP) system provides for the creation, share, and review of annotations and homework solutions in…

From the point of view of functional programming, a computational process to solve a problem is described as a mathematical function taking some arguments (corresponding to the data of the problem) and returning as a result its solution. Turtle Graphics can be used to describe the movements of a virtual turtle, which leaves a trail along his path…