ISSN 2394-5125
 

Research Article 


An APOS Theory- Technoscience Framework to understand Mathematical Thinking

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham.

Abstract
The understanding of mathematical thinking is fundamental cognitive and neuroscience phenomenon in mathematics education that can enhance both instructional and pedagogical practice for improved learning outcomes in mathematics. Several studies for the past decades have been thriving to bring out both operational and structural nature of mathematical thinking. This paper presents the novel theoretical framework as a build on to the APOS theory. The APOS theory has managed to successfully explain the mathematics thinking processes involved in the construction of a mathematics concept based on the premises of limited technology integration into mathematics education. Technology and science artefacts are now ubiquitous and constantly advancing and affecting our philosophical assumptions in mathematics education. We carried out a quasi-experiment in a mathematics laboratory involving two groups of 80 students apiece per study year taking Calculus course with differentiated teaching and learning at the University of Zimbabwe. This novel framework, APOS Theory-Technoscience, factored in technological and scientific oriented actions and processes led us to suggest an APOS-T framework as a didactic model for teaching Mathematics in Higher Education. The model could be an emerging digital pedagogy for face to face and remote mathematics instruction.

Key words: APOS Theory, Constructivism, Mathematical Thinking, Technoscience


 
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How to Cite this Article
Pubmed Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. An APOS Theory- Technoscience Framework to understand Mathematical Thinking. JCR. 2021; 8(2): 865-878. doi:10.31838/jcr.08.02.91


Web Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. An APOS Theory- Technoscience Framework to understand Mathematical Thinking. http://www.jcreview.com/?mno=78076 [Access: May 02, 2021]. doi:10.31838/jcr.08.02.91


AMA (American Medical Association) Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. An APOS Theory- Technoscience Framework to understand Mathematical Thinking. JCR. 2021; 8(2): 865-878. doi:10.31838/jcr.08.02.91



Vancouver/ICMJE Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. An APOS Theory- Technoscience Framework to understand Mathematical Thinking. JCR. (2021), [cited May 02, 2021]; 8(2): 865-878. doi:10.31838/jcr.08.02.91



Harvard Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham (2021) An APOS Theory- Technoscience Framework to understand Mathematical Thinking. JCR, 8 (2), 865-878. doi:10.31838/jcr.08.02.91



Turabian Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. 2021. An APOS Theory- Technoscience Framework to understand Mathematical Thinking. Journal of Critical Reviews, 8 (2), 865-878. doi:10.31838/jcr.08.02.91



Chicago Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. "An APOS Theory- Technoscience Framework to understand Mathematical Thinking." Journal of Critical Reviews 8 (2021), 865-878. doi:10.31838/jcr.08.02.91



MLA (The Modern Language Association) Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham. "An APOS Theory- Technoscience Framework to understand Mathematical Thinking." Journal of Critical Reviews 8.2 (2021), 865-878. Print. doi:10.31838/jcr.08.02.91



APA (American Psychological Association) Style

Leckson Mukavhi, Deonarain Brijlall, Jose Abraham (2021) An APOS Theory- Technoscience Framework to understand Mathematical Thinking. Journal of Critical Reviews, 8 (2), 865-878. doi:10.31838/jcr.08.02.91