TY - JOUR
T1 - Engineering students actions in a mathematical modelling-Task
T2 - Mediating mathematical understanding in a computer algebra system
AU - Kotze, H.
AU - Spangenberg, E. D.
N1 - Publisher Copyright:
© 2019 University of Pretoria. All rights reserved.
PY - 2019/11
Y1 - 2019/11
N2 - Many engineering subjects rely on the interpretation of symbolic, numeric and graphic representations. Engineering students have challenges pertaining to their mathematical understanding of their actions with a computer algebra system (CAS). We investigated how a mathematical modelling task could mediate varied levels of mathematical understanding. When engineering students are exposed to a CAS environment, they habitually engage in programming activities without considering the corn puterised outputs. The purpose of this paper was to ascertain South African engineering students actions that can mediate broader levels of mathematical understanding in a CAS by utilising the PineKieren model of growth in mathematical understanding. Thirteen participants agreed to engage collaboratively in a mathematical modelling task. The task was analysed by means of content analysis following a deductive research approach. The findings disclosed that engineering students interdepend on paper-And-pen, computerised and reflective actions in their growth of mathematical understanding. Engineering students can be assisted in mediated and folding-back actions in order to fluctuate back and forth on their way to a more sound mathematical understanding. Explicit planning and sequence of subtasks can support engineering students to merge new levels of mathematics understanding with past corn prehensions. Thoroughly planned modelling tasks can mediate novel levels of mathematical understanding when engineering students learn with a CAS.
AB - Many engineering subjects rely on the interpretation of symbolic, numeric and graphic representations. Engineering students have challenges pertaining to their mathematical understanding of their actions with a computer algebra system (CAS). We investigated how a mathematical modelling task could mediate varied levels of mathematical understanding. When engineering students are exposed to a CAS environment, they habitually engage in programming activities without considering the corn puterised outputs. The purpose of this paper was to ascertain South African engineering students actions that can mediate broader levels of mathematical understanding in a CAS by utilising the PineKieren model of growth in mathematical understanding. Thirteen participants agreed to engage collaboratively in a mathematical modelling task. The task was analysed by means of content analysis following a deductive research approach. The findings disclosed that engineering students interdepend on paper-And-pen, computerised and reflective actions in their growth of mathematical understanding. Engineering students can be assisted in mediated and folding-back actions in order to fluctuate back and forth on their way to a more sound mathematical understanding. Explicit planning and sequence of subtasks can support engineering students to merge new levels of mathematics understanding with past corn prehensions. Thoroughly planned modelling tasks can mediate novel levels of mathematical understanding when engineering students learn with a CAS.
KW - Computer algebra system
KW - Differential equations
KW - Engineering students
KW - Mathematical modelling
KW - Pirie-Kieren model
KW - Understanding
UR - http://www.scopus.com/inward/record.url?scp=85089389382&partnerID=8YFLogxK
U2 - 10.18820/2519593X/pie.v37i2.2
DO - 10.18820/2519593X/pie.v37i2.2
M3 - Article
AN - SCOPUS:85089389382
SN - 0258-2236
VL - 37
SP - 16
EP - 34
JO - Perspectives in Education
JF - Perspectives in Education
IS - 2
ER -