scholarly journals Grasp Actually: An Evolutionist Argument for Enactivist Mathematics Education

2021 ◽  
pp. 1-17
Author(s):  
Dor Abrahamson
Keyword(s):  
Mathematics Education ◽  
Learning Environments ◽  
Evolutionary Biology ◽  
Mathematical Thinking ◽  
Mathematical Activity ◽  
Design Based Research ◽  
Evolutionary Account ◽  
Design Learning ◽  
Educational Implications ◽  
Learning To Reason

What evolutionary account explains our capacity to reason mathematically? Identifying the biological provenance of mathematical thinking would bear on education, because we could then design learning environments that simulate ecologically authentic conditions for leveraging this universal phylogenetic inclination. The ancient mechanism coopted for mathematical activity, I propose, is our fundamental organismic capacity to improve our sensorimotor engagement with the environment by detecting, generating, and maintaining goal-oriented perceptual structures regulating action, whether actual or imaginary. As such, the phenomenology of grasping a mathematical notion is literally that – gripping the environment in a new way that promotes interaction. To argue for the plausibility of my thesis, I first survey embodiment literature to implicate cognition as constituted in perceptuomotor engagement. Then, I summarize findings from a design-based research project investigating relations between learning to move in new ways and learning to reason mathematically about these conceptual choreographies. As such, the project proposes educational implications of enactivist evolutionary biology.

MATHEMATICAL ACTIVITY DESIGNS CONDUCTED WITH E-PORTFOLIO BY SECONDARY SCHOOL STUDENTS WITHIN THE FRAMEWORK OF REALISTIC MATHEMATICS EDUCATION

2021 ◽  
Vol 6 (2) ◽  
Author(s):  
Elif Bahadır ◽  
Eda Nur Güner
Keyword(s):  
Mathematics Education ◽  
Social Life ◽  
Design Thinking ◽  
Mathematical Thinking ◽  
Real Life ◽  
Educational Process ◽  
Realistic Mathematics Education ◽  
Mathematical Activity ◽  
Thinking Skill ◽  
Realistic Mathematics

Design thinking skill is perhaps the most directly related thinking skill of mathematical thinking skill, because design thinking contains a strong problem-solving process in itself. In this study, it was aimed to provide students to avoid thinking about mathematics only procedurally or instrumentally and to introduce them to mathematical studying methods and mental habits. Therefore, tasks were chosen that would encourage students to think and design using real-life mathematical elements and thus encourage effective mathematical thinking. According to Freudenthal, the theorist of the Realistic Mathematics Education, mathematics should be related to the social life of students, close to their experiences, relevant to the society they live in, and compatible with human values. The research is designed as “action research” which is one of the qualitative research methods. Participants were selected using the convenience sampling method. Edmodo software was used as an electronic portfolio. Activities were prepared within the framework of RME approach. The responses are given by the students to those activities distributed when examined under 5 main headings: designing products, expressing the mathematical opinions clearly, using the mathematical knowledge, the research skills and the originality. These criteria generated after taking an expert opinion, subjected to qualitative analysis and interpreted. Consequently, it can be concluded that the educational process which is carried out with design-based activities provides learning, and is relevant to daily life, is interesting and is motivating. The integration of face-to-face teaching with technology and online approaches also help teachers manage design-based activities in a more effective way. <p> </p><p><strong> Article visualizations:</strong></p><p><img src="/-counters-/edu_01/0785/a.php" alt="Hit counter" /></p>

Towards Flipped Learning in Upper Secondary Mathematics Education

2020 ◽  
Vol 5 (1) ◽  
pp. 1-15
Author(s):  
Robert Weinhandl ◽  
Zsolt Lavicza ◽  
Stefanie Schallert
Keyword(s):  
Secondary Education ◽  
Mathematics Education ◽  
Mathematics Learning ◽  
Flipped Learning ◽  
Educational Innovations ◽  
Design Based Research ◽  
Secondary Mathematics Education ◽  
Upper Secondary Education ◽  
Mathematics Classrooms ◽  
Upper Secondary

Challenges for students in the 21st century, such as acquiring technology, problem-solving and cooperation skills, also necessitates changes in mathematics education to be able to respond to changing educational needs. One way to respond to these challenges is utilising recent educational innovations in schools, for instance, among others are flipped learning (FL) approaches. In this paper, we outline our explorative educational experiment that aims to investigate key elements of mathematics learning in FL approaches in upper secondary education. We describe the methodologies and findings of our qualitative study based on design-based research to discover key elements of FL approaches in upper secondary education. Analysing the data collected over ten months suggested categories (a) confidence when learning; (b) learning by working; and (c) flexibility when learning could be essential to understand FL approaches practices in mathematics classrooms.

Learning Environments in Mathematics Education

2020 ◽  
pp. 459-464
Author(s):  
Tak-Wai Chan ◽  
Siu Cheung Kong ◽  
Hercy N. H. Cheng
Keyword(s):  
Mathematics Education ◽  
Learning Environments

Universal Design for Learning in Today’s Diverse Educational Environments

2014 ◽  
pp. 1-10
Author(s):  
Kathleen Bastedo ◽  
Jessica Vargas
Keyword(s):  
Learning Environments ◽  
Universal Design ◽  
Universal Design For Learning ◽  
Stepping Stone ◽  
Design Learning ◽  
Barriers To Access ◽  
Educational Environments ◽  
Diverse Learning ◽  
Design For Learning ◽  
Made In

Learning can be difficult for a myriad of reasons and not just for those with disabilities and for those dedicated to teaching in its many forms. It can be next to impossible to accommodate the variety of students encountered in today’s diverse learning environments. This is where the principle of Universal Design for Learning (UDL) can be successfully applied. This chapter explores the strides made in creating content that brain-based research supports as a way for not only motivating students to learn, but also for allowing those with disabilities a way to learn that meets their specific needs. Although there is no one surefire way to design learning that teaches everyone, UDL is a stepping-stone to that pursuit. If implemented to its fullest potential, it can be a panacea to reducing many barriers to access and learning.

Drawing on Design to Improve Evaluation of Computer Supported Collaborative Learning

2004 ◽  
pp. 281-310
Author(s):  
John B. Nash ◽  
Christoph Richter ◽  
Heidrun Allert
Keyword(s):  
Social Context ◽  
Collaborative Learning ◽  
Human Computer Interaction ◽  
Learning Environments ◽  
Program Theory ◽  
Computer Supported Collaborative Learning ◽  
Theoretical Frameworks ◽  
Design Learning ◽  
Evaluative Thinking

This chapter addresses theoretical frameworks for the evaluation of computer-supported learning environments. It outlines the characteristics and obstacles this evaluation must face with regard to projects that design learning experiences, stressing the notion that human-computer interaction is imbedded in social context that is complex and dynamic. The authors examine how scenario-based design and program theory can contribute to the design and evaluation of computer-supported collaborative learning (CSCL) and present a case study in which both approaches are applied. Based on the revealed complementary frameworks, a compelling approach is drafted that combines both of them. Our goal is to make CSCL designers more aware of the benefits of evaluative thinking in their work and to introduce two tangible approaches to evaluation that, when implemented as a design step, can strengthen CSCL initiatives.

Assessing 3D Virtual World Learning Environments with the CIMPLe System

2010 ◽  
pp. 147-168
Author(s):  
Sean D. Williams ◽  
Deborah M. Switzer
Keyword(s):  
Learning Environments ◽  
Virtual World ◽  
Interface Design ◽  
Systems Design ◽  
Holistic Approach ◽  
Instructional Systems ◽  
Experience Design ◽  
User Experience Design ◽  
Design Learning ◽  
3D Virtual World

This chapter introduces an assessment rubric for virtual world learning environments (VWLEs) built from proven principles of user experience design, instructional design, interface design, learning theory, technical communication, instructional systems design (ISD), and VIE motivation theory. Titled the “CIMPLe System,” this rubric captures the ways that context, interactivity, motivation, presence, and cognitive load weave together to form a successful VWLE. The CIMPLe System offers an advance in how educators can assess the quality and predict the success of the VWLEs that they build. The holistic approach achieved in the CIMPLe System arises from the multidisciplinary approach represented in the tool. As designers consider what to build into the environment, they can refer to the CIMPLe System as a checklist to ensure that the environment meets the needs that the cross-disciplinary theory suggests are necessary.

The Role of Problem Solving

1985 ◽  
Vol 32 (6) ◽  
pp. 48-50
Author(s):  
Randall I. Charles
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Mathematical Thinking ◽  
Development Of Students

The importance of problem solving in mathematics has been attested to by many individuals and groups (e.g., Snowmass 1973; NCSM 1977; CBMS 1982). Furthermore, the belief seems to be common that the development of students' problem-solving abilities is one of the most important goals of mathematics education. In view of the importance of problem solving, it is templing to argue that problem solving and mathematical thinking are in fact different names tor the same activity. However, such an argument would provide too narrow an interpretation of mathematical thinking and too broad a view of problem solving. The purposes of this article are to describe one view of “mathematical thinking” and to describe the characteristics of a problem-solving program necessary to develop this kind of thinking.

Review: Symbolism from A to W

1983 ◽  
Vol 14 (5) ◽  
pp. 369
Author(s):  
Geoffrey Howson
Keyword(s):  
Mathematics Education ◽  
Ad Hoc ◽  
Mathematical Activity ◽  
Mathematics Educator ◽  
Actual Role ◽  
Insufficient Attention

My pleasure at being sent for review this collection of papers on symbolism in mathematics was somewhat diminished when I saw that the first article was by Josette Adda and the last by Derek Woodrow. This was not due to any lack of respect for these two authors; rather, it indicated that readers were being offered not a structured survey of the problems of symbolism within mathematics education but an ad hoc collection of articles arranged alphabetically by author. In fact, although the nine articles vary considerably in quality, the overall standard is quite high, and any mathematics educator will find two or three of interest. Nevertheless, I very much felt the absence of a framework that would help the reader to identify more clearly the sa lient problems and to recognize fruitful avenues for research. In particular, the actual role of symbols within mathematics and within mathematical activity would seem to me to be given insufficient attention, although, almost of necessity, most authors touch on it.

Focused Strategies for Middle-Grades Mathematics Vocabulary Development

2007 ◽  
Vol 13 (4) ◽  
pp. 200-207
Author(s):  
Rheta N. Rubenstein
Keyword(s):  
Mathematics Education ◽  
Middle Grades ◽  
Mathematical Thinking ◽  
Vocabulary Development ◽  
School Mathematics ◽  
One Dimension ◽  
Mathematical Language ◽  
Mathematics Vocabulary ◽  
Principles And Standards

Principles and Standards for School Mathematics reminds us that communication is central to a broad range of goals in mathematics education (NCTM 2000). These goals include students' being able to (1) organize and consolidate mathematical thinking; (2) communicate coherently with teachers, peers, and others; (3) analyze and evaluate others' strategies; and (4) use language to express mathematics precisely. One part of communication is acquiring mathematical language and using it fluently. This article addresses learning vocabulary as one dimension of mathematics communication.

Connecting Children's Mathematical Thinking with Family and Community Knowledge in Mathematics Instruction

2017 ◽  
Vol 23 (6) ◽  
pp. 326-328 ◽  
Author(s):  
Tonya Bartell ◽  
Erin E. Turner ◽  
Julia Marie Aguirre ◽  
Corey Drake ◽  
Mary Q. Foote ◽  
...  
Keyword(s):  
Mathematics Education ◽  
Mathematics Instruction ◽  
Mathematical Thinking ◽  
Community Knowledge ◽  
Children’S Mathematical Thinking ◽  
Children's Mathematical Thinking

This department publishes brief news articles, announcements, and guest editorials on current mathematics education issues that stimulate the interest of TCM readers and cause them to think about an issue or consider a specific viewpoint about some aspect of mathematics education.

Sign in / Sign up

Export Citation Format

Share Document