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The teaching of matrix multiplication in secondary education is often limited to the mechanical application of the row-by-column algorithm, leaving aside its interpretation as a geometric transformation. This study analyzes the impact of a…

历史与综述 · 数学 2026-02-04 Felix De La Cruz Serrano

This article discusses how to make statistical graphics a more prominent element of the undergraduate statistics curricula. The focus is on several different types of assignments that exemplify how to incorporate graphics into a course in a…

其他统计学 · 统计学 2015-03-04 Deborah Nolan , Jamis Perrett

Graphs are essential representations in the professions and education concerning the science, technology, engineering, and mathematics (STEM) disciplines. Beyond their academic relevance, graphs find extensive utility in everyday scenarios,…

Dynamic walking on bipedal robots has evolved from an idea in science fiction to a practical reality. This is due to continued progress in three key areas: a mathematical understanding of locomotion, the computational ability to encode this…

机器人学 · 计算机科学 2020-10-16 Jenna Reher , Aaron D. Ames

Predicting where people can walk in a scene is important for many tasks, including autonomous driving systems and human behavior analysis. Yet learning a computational model for this purpose is challenging due to semantic ambiguity and a…

计算机视觉与模式识别 · 计算机科学 2020-08-21 Jin Sun , Hadar Averbuch-Elor , Qianqian Wang , Noah Snavely

Dynamic bipedal walking on discrete terrain, like stepping stones, is a challenging problem requiring feedback controllers to enforce safety-critical constraints. To enforce such constraints in real-world experiments, fast and accurate…

机器人学 · 计算机科学 2017-12-05 Avinash Siravuru , Allan Wang , Quan Nguyen , Koushil Sreenath

We examine a variety of numerical methods that arise when considering dynamical systems in the context of physics-based simulations of deformable objects. Such problems arise in various applications, including animation, robotics, control…

图形学 · 计算机科学 2021-08-19 Uri M. Ascher , Egor Larionov , Seung Heon Sheen , Dinesh K. Pai

In this paper we make some considerations about using a dynamic geometry software for teaching history of mathematica at university level. After a short introduction to the software GeoGebra, we discuss four activities. The first is an…

历史与综述 · 数学 2020-12-11 Aldo Brigaglia , Maria Anna Raspanti , Enrico Rogora

GeoGebra is an interactive geometry, algebra, statistics, and calculus application designed for teaching and learn-ing math, science, and engineering. Its dynamic interface allows its users to accurately and interactively visualize their…

计算机与社会 · 计算机科学 2022-02-04 Rushan Ziatdinov , James R. Valles

The article proposes formulating and codifying a set of applied numerical methods, coined as Deep Learning Discrete Calculus (DLDC), that uses the knowledge from discrete numerical methods to interpret the deep learning algorithms through…

数值分析 · 数学 2022-12-01 Sourav Saha , Chanwook Park , Stefan Knapik , Jiachen Guo , Owen Huang , Wing Kam Liu

The article is devoted to a problem of elaboration of the real-time interactive videosystems for accelerated nonverbal cognitive computer and telecommunications. The proposed approach is based on the using of droems (dynamically…

人机交互 · 计算机科学 2007-05-23 Denis V. Juriev

This paper draws together nine strategies for creative visualization activities. Teaching visualization often involves running learning activities where students perform tasks that directly support one or more topics that the teacher wishes…

We approach the problem of counting the number of walks in a digraph from three different perspectives: enumerative combinatorics, linear algebra, and symbolic dynamics.

组合数学 · 数学 2016-10-06 Matthew Yancey

The aim of this paper is to present a didactical sequence that fosters the development of meanings related to fractions, conceived as numbers that can be placed on the number line. The sequence was carried out in various elementary school…

历史与综述 · 数学 2016-02-18 Elisabetta Robotti , Samuele Antonini , Anna Baccaglini-Frank

With increasing popularity in online learning, a surge of E-learning platforms have emerged to facilitate education opportunities for k-12 (from kindergarten to 12th grade) students and with this, a wealth of information on their learning…

人机交互 · 计算机科学 2019-09-24 Meng Xia , Huan Wei , Min Xu , Leo Yu Ho Lo , Yong Wang , Rong Zhang , Huamin Qu

People often struggle to interpret data with extremely large or small values, or ranges spanning multiple orders of magnitude. While traditional approaches, such as log scales and multiscale visualizations, can help, we explore in this…

人机交互 · 计算机科学 2026-02-24 Leni Yang , Aymeric Ferron , Yvonne Jansen , Pierre Dragicevic

Our paper is research in progress that is research investigating the use of games technology to enhance the learning of a physical skill. The Microsoft Kinect is a system designed for gaming with the capability to track the movement of…

计算机与社会 · 计算机科学 2016-06-14 Kirsten Ellis , Julie Fisher , Louisa Willoughby , Jan Carlo Barca

A simple Neural Network model is presented for end-to-end visual learning of arithmetic operations from pictures of numbers. The input consists of two pictures, each showing a 7-digit number. The output, also a picture, displays the number…

机器学习 · 计算机科学 2017-01-06 Yedid Hoshen , Shmuel Peleg

Achieving machine intelligence requires a smooth integration of perception and reasoning, yet models developed to date tend to specialize in one or the other; sophisticated manipulation of symbols acquired from rich perceptual spaces has so…

机器学习 · 计算机科学 2018-09-14 Eric Crawford , Guillaume Rabusseau , Joelle Pineau

Data literacy skills are fundamental in computer science education. However, understanding how data-driven systems work represents a paradigm shift from traditional rule-based programming. We conducted a systematic literature review of 84…

计算机与社会 · 计算机科学 2026-03-31 Robert Whyte , Manni Cheung , Katharine Childs , Jane Waite , Sue Sentance
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