The First Derivative of an Exponential Function with the “White Box/Black Box” Didactical Principle and Observations with GeoGebra | Zendy

Natalija Budinski | Zendy; Stephanie Subramaniam | Zendy

Open Access

The First Derivative of an Exponential Function with the “White Box/Black Box” Didactical Principle and Observations with GeoGebra

Author(s) -

Natalija Budinski,

Stephanie Subramaniam

Publication year - 2013

Publication title -

european journal of contemporary education

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.517

H-Index - 14

eISSN - 2305-6746

pISSN - 2304-9650

DOI - 10.13187/ejced.2013.4.81

Subject(s) - white (mutation) , white box , exponential function , black box , function (biology) , derivative (finance) , mathematics , psychology , mathematics education , computer science , artificial intelligence , mathematical analysis , machine learning , biology , economics , evolutionary biology , biochemistry , gene , financial economics

This paper shows how GeoGebra—a dynamic mathematics software— can be used to experiment, visualize and connect various concepts such as function, first derivative, slope, and tangent line. Students were given an assignment to determine the first derivative of the exponential function that they solved while experimenting with GeoGebra. GeoGebra enables students to experiment, model, and research their ideas in order to get desired results for mathematical problems. The software package, GeoGebra, enriches the educational process and opens up new questions and possibilities. Learning and teaching mathematics in contemporary, technology-rich surroundings requires new didactical approaches. The findings in this paper are based on the "White Box/Black Box" didactical principle. Recommendations for mathematics teachers are shared.

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