UCL Discovery

## The contributions of Interactive Dynamic Mathematics software in probing understanding of mathematical concepts: Case study on the use GeoGebra in learning the concept of modulus functions.

Gono, EN; (2016) The contributions of Interactive Dynamic Mathematics software in probing understanding of mathematical concepts: Case study on the use GeoGebra in learning the concept of modulus functions. Doctoral thesis , UCL (University College London).

 Preview Text ebert_nhamo_gono_THESIS 2016 - Final -Complete-version A4.pdf Download (7MB) | Preview

## Abstract

This study explored how dynamic mathematics software package called GeoGebra, contributed to participants’ learning and understanding of mathematics. The research focused on participants’ experiences as they used and transformed GeoGebra to support their understanding of modulus functions. It highlighted participants’ perspective on the role of GeoGebra in supporting exploration of modulus functions in particular and mathematical ideas in general. The focus of the study was on how participants utilised GeoGebra to address misconceptions and perceptions of modulus functions. The main research questions that guided this study focused on how students used GeoGebra to support their understanding of modulus functions and how GeoGebra related and contributed to their whole learning experiences. The study found that GeoGebra provided a medium for visualisation that linked the abstract aspects of modulus functions with graphical illustrations. The study also noted that working with GeoGebra extended participants’ understanding of modulus functions i.e. (a) in distinguishing the difference between the graphs of y = |f(x)| and y = f(|x|) and being able to sketch the two graphs without the aid of GeoGebra; (b) challenging why the integral of 1/x is y = ln |x| + c instead of y = ln(x) + c since the derivative of f(x) = ln(x) is 1/x; (c) recognising that not all turning points are stationary; (d) recognising the importance of graphical illustrations when solving equations and inequalities that involve modulus functions, to eliminate spurious answers derived from some algebraic calculations.

Type: Thesis (Doctoral) The contributions of Interactive Dynamic Mathematics software in probing understanding of mathematical concepts: Case study on the use GeoGebra in learning the concept of modulus functions. UCL An open access version is available from UCL Discovery English UCL > Provost and Vice Provost OfficesUCL > Provost and Vice Provost Offices > School of EducationUCL > Provost and Vice Provost Offices > School of Education > UCL Institute of EducationUCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education > IOE - Curriculum, Pedagogy and Assessment https://discovery.ucl.ac.uk/id/eprint/1530117