Creating Design Principles of a Learning Environment for Teaching Vector Spaces (original) (raw)
Related papers
Effects of Instructional Design on Learning
Online Submission, 2003
By the development of the technology, every styles of life and human being action face with changes. Fast, global and remarkable time come to be considerable. Social, global, cultural, educational competitiveness have been changed by the implication of the technology. Therefore; these changes also affect the learning styles, duration and method of individuals.
Modern aids in teaching design
Aims of this paper are to present ICT facilities for teachers to help in preparing of lesson. Teaching design is a specific teacher activity and consumes a long time after school, on home. In school are two modalities for using computer: as work tools for student or for teacher (presenting the information as text documents, posters, graphic representations, video, experiment modelling, pictures, calculator, tables; achievement and use of data bases, in laboratory experiments for realization, simulating or completing of the experiments). On the other hands, as didactical tools: direct mode - computer acting as support for teaching (educational softs, Computer Assisted Instruction); indirect mode - computer controlling and planning the training, thus taking over the duties of the teacher.(Computer Managed Instruction). In the paper is presented how the computer helps and assists the teacher through an online platform. Learning Design is a platform that makes available a suite of tools that eases didactically design. Advantage of this is that teacher can summarize the lesson plan, insert various resources, has a map of the time, of the unit of learning and of learning aims.
Teaching Linear Algebra Supported by GeoGebra Visualization Environment
Acta Didactica Napocensia, 2019
Linear algebra differs from other mathematics courses because of the special difficulties that students have in understanding the concepts. Teaching without concreticing the concepts of Linear Algebra encouraged students to memorize definitions of concepts and rules has been articulated. Many researchs show that technology-supported teaching is effective in concretizing abstract concepts. In this study, it was examined how pre-service mathematics teachers relate the definitions of concepts (linear combination, linear dependency /independency and spanning) and their visual equivalents in R 2 and R 3. The study was conducted with four students who attended the Linear Algebra-2 course in the Elementary Mathematics Teaching, Faculty of Education of a state university in Turkey. The study was conducted by the teaching experiment method. Interviews were conducted using activities prepared in the GeoGebra program. It was observed that the participants used these concepts in very flexible way and they established a relationship between visualization and definitions in a very short time compared to the time spent during an educational period.
Teaching Vectors to Junior Secondary School Learners: A Comparison of Two Approaches
Innovare Journal of Education
The purpose of this study was to investigate whether Form 2 learners taught using the position and movement approach (Experimental group) performed better in a test on Vectors than their counterparts taught using the non-geometric or matrix approach (Control group). A comparison of the two approaches in relation to the Gestalt and the Behaviourist learning theories was also discussed. The mixed research approach (QUANT- Qual) was used. For the QUANT part, the quasi-experimental approach involving the pre-test – post-test control group design with 50 randomly chosen learners (25 in each group) was used. Results showed that, generally, the Experimental group performed better than the Control group, although the findings could be taken with caution due to the small sample sizes and the lack of a true experiment. For the Qual approach, four learners were purposively sampled. The learners were asked to talk about their experiences and performances during learning. An attempt to relate th...
REVIEW OF OPINIONS OF MATH TEACHERS CONCERNING THE LEARNING ENVIRONMENT THAT THEY DESIGN
Design of appropriate learning environment has a significant importance in creation of aims of the math teaching. In the design of learning environments, teachers play a significant role. The aim of this study is determination of opinions of the math teachers concerning the learning environment that they design. In accordance with this aim, an opinion form which is comprised of open-ended questions is applied on 30 math teachers who are in charge in Middle Anatolian Region in Turkey. The data which are obtained as result of the application have been analysed and presented by using frequencies and percentages. It is understood from the obtained results that teachers benefit from the textbooks and auxiliary test books for designing the teaching environment, and they don't often give a place to different teaching methods and techniques.
An attempt to reduce learning difficulties in Linear Algebra courses
In engineering careers, the study of Linear Algebra begins in a student's first course. Some topics included in this subject are systems of linear equations and vector spaces. Linear Algebra is very useful but can be very abstract for teaching and learning. In an attempt to reduce learning difficulties, different approaches of teaching activities supported by interactive tools were analysed. This paper presents these tools, which were designed with GeoGebra for the Algebra and Analytic Geometry course at the Facultad Regional San Nicolás at the Universidad Tecnológica Nacional in Argentina.
Development of Elementary Linear Algebra Learning Video Media in Islamic Context
Kreano, Jurnal Matematika Kreatif-Inovatif
The development of online learning is increasingly rapid, especially during the Covid-19 pandemic which demands an innovation in the education system. However, this development is not accompanied by the availability of innovative learning media. Therefore, this study aims to develop an elementary linear algebra learning video media in Islamic context. This research type is research and development using a 4D development model consisting of 4 stages, namely define, design, develop, and disseminate. The subjects of this research trial were students of the Department of Mathematics Education, class of 2020 B, Faculty of Tarbiyah and Teacher Training at UIN Alauddin Makassar. The research data were obtained using questionnaires, observations, and learning outcomes tests. The data is processed through the analysis of validity, practicality, and effectiveness. The results showed that the video media that had been developed had met the criteria of being valid, practical, and effective. Thu...
Visualization approach in teaching process of linear algebra
Procedia - Social and Behavioral Sciences, 2011
The aim of this study is to present a way of visualization to teaching and learning linear algebra at a level suitable for freshman and sophomore students. In this study, it has been shown how to use visualization approach through vector geometry in teaching and learning linear algebra concepts. This study concentrates basic linear algebra concepts such as determinant, vector subspace, linear dependence and linear independence, basis and dimension, linear transformation, Eigen value, dot product and projection.
Mathline : Jurnal Matematika dan Pendidikan Matematika
This research was conducted to see the alleged learning obstacle that appeared in the didactic design and provide a didactic design proposal to overcome the alleged learning obstacle. The type of research used is qualitative research with the Didactical Design Research (DDR) model, this research uses triangulation techniques and in the Didactical Design Research there are three stages of analysis, namely Prospective Analysis, conducting interviews with model teachers regarding didactic designs used at the time. In learning, Metapedadidactic Analysis is carried out by analyzing the didactic design that has been made by the model teacher, what learning obstacle is suspected and what causes it, Retrospective Analysis makes conclusions and didactic design proposals on the rectangular material. The subject of this research is the didactic design in the form of lesson plans and learning media that have been made by the model teacher. Based on the analysis, there is an assumption that lear...