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Bos, Rogier; Doorman, Michiel; Drijvers, Paul; Shvarts, Anna – Teaching Mathematics and Its Applications, 2022
We study the augmented reality sandbox (ARSB) as an embodied learning environment to foster meaning making in the context of bivariable calculus. We present the case of Tiago, a first-year bachelor chemistry student, performing a series of tasks based on embodied design, including perception-based, action-based and incorporation-based tasks.…
Descriptors: Computer Simulation, Calculus, Mathematical Concepts, Thinking Skills
Juan Wu; Huiting Jiang; Lifei Long; Xueying Zhang – Education and Information Technologies, 2024
As an important branch of mathematics, geometry plays a very significant role in developing students' thinking, but many students need to improve their geometric thinking abilities, especially in understanding graphics and forms. Therefore, it is worthwhile to explore techniques and methods for developing students' geometric thinking, and…
Descriptors: Picture Books, Mathematical Concepts, Elementary School Students, Geometry
Rajiv Satsangi; Stephanie D. Sigmon – Remedial and Special Education, 2024
Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…
Descriptors: Multiplication, Thinking Skills, Elementary School Students, Learning Problems
Students' Informal Inference about the Binomial Distribution of "Bunny Hops": A Dialogic Perspective
Kazak, Sibel; Fujita, Taro; Wegerif, Rupert – Statistics Education Research Journal, 2016
The study explores the development of 11-year-old students' informal inference about random bunny hops through student talk and use of computer simulation tools. Our aim in this paper is to draw on dialogic theory to explain how students make shifts in perspective, from intuition-based reasoning to more powerful, formal ways of using probabilistic…
Descriptors: Inferences, Computer Simulation, Probability, Statistical Distributions
Benakli, Nadia; Kostadinov, Boyan; Satyanarayana, Ashwin; Singh, Satyanand – International Journal of Mathematical Education in Science and Technology, 2017
The goal of this paper is to promote computational thinking among mathematics, engineering, science and technology students, through hands-on computer experiments. These activities have the potential to empower students to learn, create and invent with technology, and they engage computational thinking through simulations, visualizations and data…
Descriptors: Calculus, Probability, Data Analysis, Computation
Arnold, Pip; Pfannkuch, Maxine; Wild, Chris J.; Regan, Matt; Budgett, Stephanie – Journal of Statistics Education, 2011
Computer simulations and animations for developing statistical concepts are often not understood by beginners. Hands-on physical simulations that morph into computer simulations are teaching approaches that can build students' concepts. In this paper we review the literature on visual and verbal cognitive processing and on the efficacy of…
Descriptors: Foreign Countries, Statistics, Learning Theories, Cues
Canada, Dan; Goering, Dave – Mathematics Teacher, 2008
Played in university classes for preservice teachers as well as in middle and high schools, the River Crossing Game depends on the sum of tosses of two fair dice. This paper describes the game as well as some lines of thinking about winning strategies, which are not obvious even with an understanding of the overall distribution for the sum of two…
Descriptors: Preservice Teachers, Secondary School Mathematics, Preservice Teacher Education, Middle School Students
Sinex, Scott A; Gage, Barbara A.; Beck, Peggy J. – AMATYC Review, 2007
A simple, guided-inquiry investigation using stacked sandwich cookies is employed to develop a simple linear mathematical model and to explore measurement error by incorporating errors as part of the investigation. Both random and systematic errors are presented. The model and errors are then investigated further by engaging with an interactive…
Descriptors: Mathematical Models, Measurement, Error of Measurement, Science Process Skills
Smith, Brian; Sharma, Priya; Hooper, Paula – Interactive Technology and Smart Education, 2006
This paper describes the forms of knowledge used by players of fantasy sports, games where players create ideal sports teams and compete to accumulate points based on professional athletes' statistical performances. Messages from a discussion forum associated with a popular fantasy basketball game were analyzed to understand how players described…
Descriptors: Fantasy, Athletes, Heuristics, Mathematical Concepts