Exploring Derivatives by Means of GeoGebra

Sari, Puspita; Hadiyan, Aris; Antari, Dwi

doi:10.12928/ijeme.v2i1.8670

Cited by 14 publications

(15 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the connections of different representations and meanings are those that report the previous research that students and teachers do little and therefore, lead them to present difficulties in solving problems (Berry y Nyman, 2006;Hashemi et al, 2014;Moru, 2020;Pino-Fan et al, 2015;Pino-Fan et al, 2017;Sari et al, 2018;Ubuz, 2007). The mathematical connections of meanings of the derivative (slope of the tangent line to a curve at a point and limit of the incremental quotient) were the most evident, and connections between multiple representations of the derivative also emerged in the written productions of the participants, which in the study by Sari et al (2018) they are presented as difficult to do. Also, in the mathematical connections of meaning the part-whole connection was inferred, since only two meanings that belong to a global meaning of the derivative reported in the study of Font (2011) andPino-Fan (2013).…”

Section: Discussionmentioning

confidence: 95%

“…Likewise, students have difficulty connecting and use multiple representations (graphic, symbolic, etc. ) of the derivative (Kula-Ünver, 2020;Pino-Fan, Godino & Font, 2015;Sánchez-Matamoros, Fernández & Llinares, 2015;Sari, Hadiyan & Antari, 2018). Also, in another study on understanding the derivative some students stayed at the inter-level since it is difficult for them to relate the function f with its derivative and they graph the derivative f' similar to the function f (Borji, Font, Alamolhodaei & Sánchez, 2018).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pre-service Mathematics Teacher's Mathematical Connections in the Context of Problem-Solving About the Derivative

Rodríguez-Nieto¹

2021

TURCOMAT

View full text Add to dashboard Cite

The mathematical connections made by five Pre-Service Mathematics Teachers (PSMTs) when solving problems on the derivative were analyzed. The conceptual framework used was the typology of intra-mathematical connections. For data collection, semi-structured interviews were conducted, and a questionnaire was designed, which included three tasks about of the derivative, which were analyzed through the thematic analysis method. The results showed that PSMTs made mathematical connections: meaning, different representations, procedural, part-whole, implication and feature. We identified that the PSMT's difficulties in establishing connections are caused by the meaning they have on the derivative concept, acquired in their received teaching and, if they are not attended, they can be reproduced in their future practice as in-service teachers.

show abstract

Section: Discussionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Pre-service Mathematics Teacher's Mathematical Connections in the Context of Problem-Solving About the Derivative

Rodríguez-Nieto¹

2021

TURCOMAT

View full text Add to dashboard Cite

show abstract

“…It was found that students establish mathematical connections between multiple representations of the derivative, a situation that is difficult in the research of Sari et al (2018) and in the study of Hashemi et al (2014). We highlight the work done by S3 where he made mathematical connections of implication type (quality level 2) to graph considering the information provided by '.…”

Section: Discussionmentioning

confidence: 96%

“…Hashemi et al (2014) reported that students have limited conceptual understanding of the derivative, due to the poor connection between algebraic and graphical aspects. Likewise, students have difficulty connecting multiple representations of the derivative (Sari et al, 2018). Borji et al (2018) reported that the majority of the students stayed at the inter level since it is difficult for them to relate the function with its derivative and graph the derivative ' similar to the function .…”

Section: / 21mentioning

confidence: 99%

Exploring University Mexican Students’ Quality of Intra-Mathematical Connections When Solving Tasks About Derivative Concept

Rodríguez-Nieto

Rodríguez-Vásquez

García

2021

EURASIA J Math Sci Tech Ed

View full text Add to dashboard Cite

The quality of the intra-mathematical connections made by Mexican university students when solving tasks on the derivative was characterized. The typology of mathematical connections and the quality levels of mathematical connections were used. Interviews were conducted based on eight tasks applied to three case studies. The results showed that the quality of the intramathematical connections: different representations, procedural, implication, part-whole and meaning of the students, is found mostly at level 2 (consistent and argued mathematical connections) and only one student presented inconsistencies to find the correctness equation of the tangent line to the curve at a point (quality level 0 connection). Likewise, the metaphorical connection was identified when a student mentioned the metaphorical expression "the graph has no holes", which suggests the conceptual metaphor "the graph is a path" referring to the continuity of a function. We believe that quality level 2 mathematical connections ensure understanding, and the quality level 0 mathematical connections are the reasons why students have difficulty understanding the derivative.

show abstract

“…[13] GeoGebra software is open-source software. [14] It is structured software. [15] GeoGebra software has a friendly interface, easy to use.…”

Section: Overview Of Geogebra Softwarementioning

confidence: 99%

Discovery Teaching about Plane Geometric Extreme Problems with the Help of Geogebra Software at Secondary School in Vietnam

Nguyen¹,

Hoang²,

Bui³

2021

ujer

View full text Add to dashboard Cite

Discovery teaching is an active teaching method. It helps develop the quality of student's competencies. It is really important in teaching using math tools and means. Our research focuses on understanding the perspective of discovery teaching as well as referring to the construction of a teaching method of plane geometry extreme problems with the help of specific GeoGebra software at secondary school. By the method of theoretical research, investigation as well as descriptive statistical methods, we find that using GeoGebra software has a great impact on the learning of plane geometric extreme problems of students. Students are interested and active in lesson construction. Students examine, create new problems by themselves, verify and discover solutions. The study also shows that GeoGebra software helps predict and find solutions, especially plane geometric extreme problems with a one-variable function. In Vietnam, with the introduction of a new general education program in mathematics, the application of mathematical tools and means is now very important. GeoGebra software was introduced right in 6th grade to teach. Students were introduced in detail to the features of the software. Therefore, the research results have an important meaning in building a lesson in solving plane geometric extreme problems with the help of GeoGebra softwarec at secondary school. Our paper refers to the views of discovery teaching, the teaching process using GeoGebra software in plane geometric extreme problems and gives an example of discovery teaching that applies GeoGebra software in plane geometric extreme problems.

show abstract

Exploring Derivatives by Means of GeoGebra

Cited by 14 publications

References 14 publications

Pre-service Mathematics Teacher's Mathematical Connections in the Context of Problem-Solving About the Derivative

Pre-service Mathematics Teacher's Mathematical Connections in the Context of Problem-Solving About the Derivative

Exploring University Mexican Students’ Quality of Intra-Mathematical Connections When Solving Tasks About Derivative Concept

Discovery Teaching about Plane Geometric Extreme Problems with the Help of Geogebra Software at Secondary School in Vietnam

Contact Info

Product

Resources

About