Teaching ideas and activities for classroom: integrating technology into the pedagogy of integral calculus and the approximation of definite integrals

Çağlayan, Günhan

doi:10.1080/0020739x.2016.1176261

Cited by 15 publications

(10 citation statements)

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“…(Dimiceli et al, 2010) showcase a design where the symbolic Computer Algebra System (CAS) features of the WolframAlpha app is being used as an asset in an introductory calculus course. (Caglayan, 2016) demonstrate a way to use the GeoGebra dynamic software to visualise Riemann sums in a similar setting.…”

Section: Understanding By Designmentioning

confidence: 99%

Students’ Development of a Logarithm Function in Python Using Taylor Expansions: A Teaching Design Case Study

Sand¹,

Lockwood²,

Caballero³

et al. 2021

Preprint

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We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final version of the tutorial we present here has students make their own logarithm function from scratch, using Taylor polynomials. To ensure that the resulting function is accurate and reasonably fast, the students have to understand and apply concepts from both computing and mathematics. We identify four categories of such concepts and identify three design features that students attended to when demonstrating such understandings. Additionally, we describe seven important take-aways from a teaching design point of view that resulted from this iterative design process.

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Section: Understanding By Designmentioning

confidence: 99%

Students’ Development of a Logarithm Function in Python Using Taylor Expansions: A Teaching Design Case Study

Sand¹,

Lockwood²,

Caballero³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The studies above noted that GeoGebra can improve students' learning outcomes compared with conventional classroom-based teaching. (ii) GeoGebra has also been applied for the professional development of mathematics teachers on teaching concepts such as calculus [28], [29], and mathematics visualization skills [30].…”

Section: A Dgsmentioning

confidence: 99%

Predicting the Determinants of Dynamic Geometry Software Acceptance: A Two-Staged Structural Equation Modeling — Neural Network Approach

Chen¹

2020

IJIET

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“…GeoGebra is versatile free graphing software with a growing library of user-designed dynamic tools. Ponce Campuzano et al (2019) discuss the use of GeoGebra effectively in the context of vector calculus and Caglayan (2016) recommends GeoGebra for the visualization of double integral and Riemann sum concepts.…”

Section: Introductionmentioning

confidence: 99%

Forced to improve: open book and open internet assessment in vector calculus

Craig

Akkaya

2021

International Journal of Mathematical Education in Science and

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Calculus is traditionally tested, at least in part, by a closed book written examination taken under secure conditions. In March 2020, two-thirds of the way through a vector calculus course, our institution went into lockdown and all teaching and assessment had to shift online. While some teachers insisted that remotely written nonproctored examinations remain closed book, we accepted that this would result in inequity, with some students certainly choosing to flout that rule should it be imposed, to their advantage over their classmates. Driven by circumstance, we were forced to design a vector calculus examination that would be written open book and 'open internet' with access to online calculators and computer graphing packages. Proficiency at vector calculus is exhibited far more in the interpretation of information and effective decision-making than in the computational solving of integrals. In this article, we shall present and discuss our experiences, address the challenge of non-proctored examinations and argue for the merit of open book examinations in an otherwise standard vector calculus course.

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Teaching ideas and activities for classroom: integrating technology into the pedagogy of integral calculus and the approximation of definite integrals

Cited by 15 publications

References 0 publications

Students’ Development of a Logarithm Function in Python Using Taylor Expansions: A Teaching Design Case Study

Students’ Development of a Logarithm Function in Python Using Taylor Expansions: A Teaching Design Case Study

Predicting the Determinants of Dynamic Geometry Software Acceptance: A Two-Staged Structural Equation Modeling — Neural Network Approach

Forced to improve: open book and open internet assessment in vector calculus

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