Study of a Combination of Complex Function Learning with Mathematical Modeling

Meng, Pinchao; Jiang, Zhixia; Shi, Shuwen; Shi-ming, Liang

doi:10.2991/msmi-14.2014.65

Cited by 2 publications

(2 citation statements)

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“…Also, the role of visualization in teaching and learning mathematics, namely in higher education, has been studied by several authors (Mascarello & Winkelmann, 1986). For instance, (Meng, Jiang, Shi, & Liang, 2014) have used MatLab in the context of simulation problems. ming Zhang and Wang (2013) mention the use of computational tools, they refer "mathematical software", to compute integrals of complex functions in a collaborative context.…”

Section: Sotomentioning

confidence: 99%

Learning complex functions with GeoGebra

Breda¹,

Santos²

2021

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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In this paper we describe a teaching experiment targeting with students of Complex Analysis attending an undergraduate course of a portuguese university. Our main goal is the understanding of the GeoGebra role with respected to visualization and as technological mediator, according to Vygotsky theory, in the teaching and learning process of complex functions. The first step of our study was the conception of a sequence of didactical tasks and the development of GeoGebra tools related to the target didactical objectives. Here we will describe the procedure related to the tasks implementation in a classroom environment and the achieved results based on the collected data composed by written assignements produced by students, video recording the student performance during the experiment and the student constructions with GeoGebra. All the collected data was analysed from a qualitative and interpretative paradigm.

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Section: Sotomentioning

confidence: 99%

Learning complex functions with GeoGebra

Breda¹,

Santos²

2021

Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.

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show abstract

“…Although the need to carry out further literature review, for this type of mathematical content and having in mind educational purposes and their application with groups of students, we found references to MatLab, used in the context of simulation problems (Meng, P. C., Jiang, Z. X., Shi, S. Z., & Liang, S. M., 2014). Another study was conducted by Yong-Ming and Dan mentions the use of computational tools to calculate integrals of complex functions and they still refer mathematical experiences with students from collaborative nature.…”

Section: Introductionmentioning

confidence: 99%

Complex functions with GeoGebra

Breda

Santos

2016

Teaching Mathematics Applications

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Complex functions, generally feature some interesting peculiarities, seen as extensions real functions, complementing the study of real analysis. However, the visualization of some complex functions properties requires the simultaneous visualization of two-dimensional spaces. The multiple Windows of GeoGebra, combined with its ability of algebraic computation with complex numbers, allow the study of the functions defined from ℂ to ℂ through traditional techniques and by the use of Domain Colouring. Here, we will show how we can use GeoGebra for the study of complex functions, using several representations and creating tools which complement the tools already provided by the software. Our proposals designed for students of the first year of engineering and science courses can and should be used as an educational tool in collaborative learning environments. The main advantage in its use in individual terms is the promotion of the deductive reasoning (conjecture / proof). In performed the literature review few references were found involving this educational topic and by the use of a single software.

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Study of a Combination of Complex Function Learning with Mathematical Modeling

Cited by 2 publications

References 0 publications

Learning complex functions with GeoGebra

Learning complex functions with GeoGebra

Complex functions with GeoGebra

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