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Exploring the characteristics of an optimal design of digital materials for concept learning in mathematics: Multimedia learning and variation theory

Thomas K.F. Chiu, Daniel Churchill
2015 Computers & Education  
The characteristics may have useful practical implications for instructional designers and teachers and contribute to improvements in the design of digital learning materials.  ...  Characteristics of an optimal design generated from the data collected are presented in this paper.  ...  Discussion The main goal of this study was to use a design-based approach to explore the characteristics of an optimal design for concept learning in algebra.  ... 
doi:10.1016/j.compedu.2014.12.001 fatcat:yy2k55mkevakngzv74kzbnalwy

eLearning in Industrial Mathematics with Applications to Nanoelectronics [chapter]

Giuseppe Alì, Eleonora Bilotta, Lorella Gabriele, Pietro Pantano, José Sepúlveda, Rocco Servidio, Alexander Vasenev
2015 Mathematics in Industry  
The main topic of this chapter is a detailed exposition of CoMSON's attempt to give a contribution in the synergetic process of integration of research and training between Academia and Industry.  ...  The manipulation and exploration of models and algorithms provided by the proposed GUI might be useful in contexts where learning by exploration and design by exploration are common approaches.  ...  The optimization course's purpose is to present the fundamental concepts and main numerical optimization methods used in scientific computing and the computer aided design of electromagnetic devices.  ... 
doi:10.1007/978-3-662-46672-8_9 fatcat:opri5aut4vfptccefigdpu6v54

Using a mathematical model of motivation, volition, and performance to examine students' e-text learning experiences

Elena Novak, Jerry Daday, Kerrie McDaniel
2018 Educational technology research and development  
for evaluating students' learning experiences in digital environments.  ...  A regression analysis of these variables revealed a significant model that explained 77% of the variation in student e-text satisfaction in both e-text learning environments.  ...  Mayer's (2001) research on learning with multimedia supports the importance of implementing multimedia learning principles for designing effective and efficient learning materials that utilize pictures  ... 
doi:10.1007/s11423-018-9599-5 fatcat:5472afl6tjf5vk52yvwckwi63u

The French Didactic Tradition in Mathematics [chapter]

Michèle Artigue, Marianna Bosch, Hamid Chaachoua, Faïza Chellougui, Aurélie Chesnais, Viviane Durand-Guerrier, Christine Knipping, Michela Maschietto, Avenilde Romo-Vázquez, Luc Trouche
2019 Education as a Lifelong Process  
It first describes the emergence and development of this tradition according to four key features (role of mathematics and mathematicians, role of theories, role of design of teaching and learning environments  ...  Keywords French didactics · Mathematics education · Anthropological theory of the didactic · Theory of didactical situations · Theory of conceptual fields · Didactic research on line symmetry · Didactic  ...  The first and third elements have been essential in the development of the original idea of duo of artefacts based on using a material artefact and a digital one in an intertwined way in the same learning  ... 
doi:10.1007/978-3-030-05514-1_2 fatcat:dx2mxys6bbglznulm7xkl5dep4

Description in course of mathematical methods for physics and possible development of course program

Sujito Sujito, Liliasari Liliasari, Andi Suhandi, Edy Soewono
2021 Momentum: Physics Education Journal  
The results showed that mathematical methods for physics courses need improvement in the learning process.  ...  Specifically, implementation of the program in the ordinary differential equations course can provide learning experiences to students regarding the process of reasoning in physics using mathematical principles  ...  Compilation of learning tools involving modern technology, computers, multimedia, and modeling in an integrated manner with attention to the characteristics of Mathematical methods for physics 2.  ... 
doi:10.21067/mpej.v5i1.5184 fatcat:x7eclu2frbfi3h7bfc5f62usmi

The Effectiveness of Using Interactive Multimedia Based on Motion Graphic in Concept Mastering Enhancement and Fashion Designing Skill in Digital Format

Winwin Wiana, M. Syaom Barliana, Arifah A. Riyanto
2018 International Journal of Emerging Technologies in Learning (iJET)  
This research is aimed to know the effect of interactive multimedia application based on motion graphic to increase the mastery of the concept and skill of the students to making fashion designing in digital  ...  In this research, interactive multimedia learning based on motion graphic is effective toward the improvement of student learning in concept mastering indicator and on the aspect of making fashion design  ...  Sketching, in the form of an understanding of 1) developing in the format/shape of fashion design, 2) the concept of the forming and accuracy of the parts of fashion products, 3) the material concepts  ... 
doi:10.3991/ijet.v13i02.7830 fatcat:pgpsaoimibampej7ci3xzivid4

The Effects of Using Representations in Elementary Mathematics: Meta-Analysis of Research

Andrzej Sokolowski
2018 IAFOR Journal of Education  
The current study provides a meta-analysis of global research on using representations to support the learning of mathematics in Pre-K through Grade 5.  ...  The calculated effect size signifies strong, robust support for the use of representations in Pre-K through Grade 5 mathematics classes and highlights the importance of providing students with opportunities  ...  These results converge with contemporary theories of cognitive load and multimedia learning principles developed by Clark and Mayer (2011) and have practical implications for mathematical instructional  ... 
doi:10.22492/ije.6.3.08 fatcat:hywupk4clzby3f36ihf67ojjka

Digital Instructional and Pedagogical Gaps in Mathematics Education during COVID-19: APOS Theory Based Laboratory Methodology in Higher Education

Leckson Mukavhi, Deonarain Brijlall
2021 Universal Journal of Educational Research  
However, the COVID-19 pandemic has reshaped the digital teaching and learning and made it an imperative and safe remote instruction and pedagogy of the day in mathematics education and education in general  ...  The uptake and integration of digital technology in mathematics education have been gradual for many decades.  ...  and unwavering studentship support, and the University of Zimbabwe for granting the student the permission to carry out the study with its various faculties.  ... 
doi:10.13189/ujer.2021.090603 fatcat:n3uib3vpgnadrdkvvkg2e2e2oa

Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics

Rushan Ziatdinov, James R. Valles
2022 Mathematics  
In this study, we discuss how GeoGebra provides an environment for learning that is very interactive and collaborative between the learner and the instructor.  ...  GeoGebra is an interactive geometry, algebra, statistics, and calculus application designed for teaching and learning math, science, and engineering.  ...  We are grateful for all the helpful comments and recommendations that helped us improve the quality of the manuscript. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/math10030398 fatcat:4rmm6rbenjganf3shbayodhyim

Mathematical Identity for a Sustainable Future: An Interpretative Phenomenological Analysis

Anita Pipere, Ilona Mičule
2014 Journal of Teacher Education for Sustainability  
what it means to be an educator, in teaching and learning, as well as in the entire education system.  ...  interpretation of mathematics and its teaching methods, self-actualisation in achieving success in mathematics through hard work and the issue of attribution of failure in mathematics either to external  ...  Acknowledgement I would like to thank all those who have provided constructive suggestions and support for this paper, in particular Professor Lene Buchert, Professor Berit Karseth, Professor Peter Maassen  ... 
doi:10.2478/jtes-2014-0001 fatcat:oqrsspqofnbvpmntawqt5bvskm

Research on Classroom Online Teaching Model of "Learning" Wisdom Music on Wireless Network under the Background of Artificial Intelligence

Jie Shan, Muhammad Talha, Osamah Ibrahim Khalaf
2021 Computational and Mathematical Methods in Medicine  
In the online teaching of multimodal smart music based on audio and lyrics, this article improves the traditional fusion method for the problem of multimodal fusion and compares various fusion methods  ...  The selection of music intelligence models and classification models, as well as the analysis and processing of music characteristics, is the subjects of this article.  ...  of music teaching reform in colleges and universities from the perspectives of music theory, educational laws, and technological progress [2] .  ... 
doi:10.1155/2021/3141661 pmid:34873412 pmcid:PMC8643225 fatcat:dbicufuer5cy7pog4ntg4bma3q

Recent research on geometry education: an ICME-13 survey team report

Nathalie Sinclair, Maria G. Bartolini Bussi, Michael de Villiers, Keith Jones, Ulrich Kortenkamp, Allen Leung, Kay Owens
2016 ZDM: Mathematics Education  
of the role of digital technologies; advances in the understanding of the teaching and learning of definitions; advances in the understanding of the teaching and learning of the proving process; and,  ...  contributions that span from the early years of learning (pre-school and primary school) through to post-compulsory education and to the issue of mathematics teacher education for geometry.  ...  Indeed, with the work of giants of mathematics such as Grothendieck (a leading figure in the creation of modern algebraic geometry) and Langlands (a key figure in representation theory), mathematics has  ... 
doi:10.1007/s11858-016-0796-6 fatcat:jbalhe5tj5calhfshjcauhzuby

Book report Book report

1998 Computers and Mathematics with Applications  
It is an unconventional section. The Editors decided to break with the longstanding custom of publishing either lengthy and discursive reviews of a few books, or just a brief listing of titles.  ...  Publishers should submit books intended for review to the Editor-in-Chief,  ...  The issues. 14. The basic case for a shift in plan. 15. The underlying logic of the Phenomenology. 16. The effects of the shift in plan on the design of the Phenomenology. 17.  ... 
doi:10.1016/s0898-1221(98)00144-8 fatcat:zkxmkiuxo5dnpenmkk5v2uazii

Using Augmented Reality to Enhance Students' Representational Fluency: The Case of Linear Functions

Shuhui Li, Yihua Shen, Xinyue Jiao, Su Cai
2022 Mathematics  
In sum, learning in the AR-based MRLE is a complex interaction process between the mathematics content, forms of representations, digital features, and students' representational learning profile.  ...  Using multiple representations is advocated and emphasized in mathematics and science education. However, many students have difficulty connecting multiple representations of linear functions.  ...  To maximize students' learning effectively, we consulted the 12 principles to structure multimedia material listed in the Cognitive Theory of Multimedia Learning when designing the app [52] .  ... 
doi:10.3390/math10101718 fatcat:4ptlqhemkfealdrxdnlrfkizoe

Pedagogical content knowledge and content knowledge of secondary mathematics teachers

Stefan Krauss, Martin Brunner, Mareike Kunter, Jürgen Baumert, Werner Blum, Michael Neubrand, Alexander Jordan
2008 Journal of Educational Psychology  
Mathematical Modelling has recently become a compulsory part of the mathematics curriculum in Germany.  ...  In our paper, we will report on university seminars on modelling for students in their fourth year of study. Among other things, the students had to write a "learning diary" over the whole semester.  ...  An overview gives the framework "Math and Science under one roof" which can be found on the homepage of the EU ScienceMath Project  ... 
doi:10.1037/0022-0663.100.3.716 fatcat:m4zrtj4he5gh7pfexbp4oqomaq
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