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Screening for misconceptions and assessing these by using metacognition in a mathematics course for N2 engineering students at a Northern Cape FET college / Susan Cecilia BeukesBeukes, Susan Cecilia January 2015 (has links)
This study investigated misconceptions in Algebra of students enrolled for a N2 Engineering certificate
at a Further Education and Training College. The study aimed to investigate these students’
misconceptions relating to Algebra which prohibited them to successfully complete their artisanship.
The purpose of the research was to determine (i) the nature of these misconceptions, and (ii) the
value of screencasts as a technology-enhanced learning (TEL) tool to improve instruction. The research
gap that the researcher addressed related to the Mathematics misconceptions that the N2 students
had, and whether these misconceptions could be adequately addressed by screencasts. The
study method used was a case study design and methodology while simultaneously collecting quantitative
and qualitative data. The findings encompassed the determining of main Mathematics misconceptions,
producing screencasts, and assessing the screencasts with the intended target group. The
study followed a four-phase strategy of testing, interviewing and analysing, and reflection based on
qualitative and quantitative research strategies. During the quantitative research the research participants
completed a biographical questionnaire, as well as a customised diagnostic Algebra test. The
study sample comprised two groups from different trimesters at a rural FET college in the Northern
Cape in Kathu, South Africa. The total population of full-time N2 Engineering students related to 113
participants. The diagnostic test comprised twelve questions from the three main Algebra concepts
relating to: (i) exponents, (ii) equations, and (iii) factorisation. The same customised diagnostic test
confirmed the misconceptions within the same group. Six questions from the customised diagnostic
test identified the central misconceptions. The researcher consequently designed, developed, implemented
and evaluated screencasts with the intended student population according to the design principles
identified during the study. The six questions formed the basis of a second diagnostic test,
which was used in phase three with interviews of ten research participants as part of phase 4 of the
evaluation of the screencasts. At the end of the second trimester students were ask to complete a
questionnaire regarding their use and perceptions of the screencasts—23 participants completed this
voluntary questionnaire. At the end of the trimester ten participants were asked to explain their
method of calculations during a walk-through evaluation while answering Algebra problems. The results
indicated a number of misconception categories: (i) The main reason for misconceptions relating
to equations was the participants’ inadequate understandings of the basic concepts of multiply
methods used in equations; (ii) Index laws seemed to be the biggest misconception where participants
demonstrated insufficient understanding of the laws; and (iii) The participants did not comprehend
the basic concepts of factorisation—they could not identify which method to use while factorising.
The qualitative findings indicate that the participants found the screencasts valuable when they
prepared for tests and examinations, as well as when they did not understanding a basic Mathematics
concept. Access to technology in rural areas remains an obstacle to integrate technology learning
tools on a large scale at the FET College. / MEd (Curriculum Development), North-West University, Potchefstroom Campus, 2015
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Screening for misconceptions and assessing these by using metacognition in a mathematics course for N2 engineering students at a Northern Cape FET college / Susan Cecilia BeukesBeukes, Susan Cecilia January 2015 (has links)
This study investigated misconceptions in Algebra of students enrolled for a N2 Engineering certificate
at a Further Education and Training College. The study aimed to investigate these students’
misconceptions relating to Algebra which prohibited them to successfully complete their artisanship.
The purpose of the research was to determine (i) the nature of these misconceptions, and (ii) the
value of screencasts as a technology-enhanced learning (TEL) tool to improve instruction. The research
gap that the researcher addressed related to the Mathematics misconceptions that the N2 students
had, and whether these misconceptions could be adequately addressed by screencasts. The
study method used was a case study design and methodology while simultaneously collecting quantitative
and qualitative data. The findings encompassed the determining of main Mathematics misconceptions,
producing screencasts, and assessing the screencasts with the intended target group. The
study followed a four-phase strategy of testing, interviewing and analysing, and reflection based on
qualitative and quantitative research strategies. During the quantitative research the research participants
completed a biographical questionnaire, as well as a customised diagnostic Algebra test. The
study sample comprised two groups from different trimesters at a rural FET college in the Northern
Cape in Kathu, South Africa. The total population of full-time N2 Engineering students related to 113
participants. The diagnostic test comprised twelve questions from the three main Algebra concepts
relating to: (i) exponents, (ii) equations, and (iii) factorisation. The same customised diagnostic test
confirmed the misconceptions within the same group. Six questions from the customised diagnostic
test identified the central misconceptions. The researcher consequently designed, developed, implemented
and evaluated screencasts with the intended student population according to the design principles
identified during the study. The six questions formed the basis of a second diagnostic test,
which was used in phase three with interviews of ten research participants as part of phase 4 of the
evaluation of the screencasts. At the end of the second trimester students were ask to complete a
questionnaire regarding their use and perceptions of the screencasts—23 participants completed this
voluntary questionnaire. At the end of the trimester ten participants were asked to explain their
method of calculations during a walk-through evaluation while answering Algebra problems. The results
indicated a number of misconception categories: (i) The main reason for misconceptions relating
to equations was the participants’ inadequate understandings of the basic concepts of multiply
methods used in equations; (ii) Index laws seemed to be the biggest misconception where participants
demonstrated insufficient understanding of the laws; and (iii) The participants did not comprehend
the basic concepts of factorisation—they could not identify which method to use while factorising.
The qualitative findings indicate that the participants found the screencasts valuable when they
prepared for tests and examinations, as well as when they did not understanding a basic Mathematics
concept. Access to technology in rural areas remains an obstacle to integrate technology learning
tools on a large scale at the FET College. / MEd (Curriculum Development), North-West University, Potchefstroom Campus, 2015
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Misconceptions regarding direct-current resistive theory in an engineering course for N2 students at a Northern Cape FET college / Christiaan BeukesBeukes, Christiaan January 2014 (has links)
The aim of this study is to ascertain what misconceptions N2 students have about DC resistive circuits
and how screencasts could effect on the rectification of these misconceptions. This study was
conducted at the Kathu Campus of the Northern Cape Rural Further Education and Training College
in the town Kathu in the arid Northern Cape. The empirical part of this study was conducted during
the first six months of 2013. A design-based research (DBR) method consisting of four phases was
used. DBR function is to design and develop interventions such as a procedure, new teachinglearning
strategies, and in the case of this study a technology-enhanced learning (TEL) tool (screencast)
with the purpose of solving a versatile didactic problem and to acquire information about the interventions
of the TEL tool (screencast) on the learning of a student. In the first and second phase of
DBR quantitative data for this research were gathered with the Determining and Interpreting Resistive
Electric circuits Concepts Test (DIRECT) in order to determine the four most common misconceptions.
The DIRECT test was conducted in the first trimester to find the misconceptions; the test was
conducted in the second trimester also to confirm the misconceptions. Further quantitative data were
collected from a demographic questionnaire. The qualitative data were collected by individual interviews
in the fourth phase of the research project. Phase three of this study was the development of
screencasts in the four most prominent misconceptions in DC resistive circuits of the students. The
respondents of this study were non-randomly chosen and comprised of two groups, one in the first
trimester of the year and one in the second trimester of the year, which enrolled for the N2 Electrical
or Millwright courses. The respondents were predominant male and representing the three main cultural
groups in the Northern Cape namely: Black, Coloured and White. The four misconceptions on
DC resistive circuits that were identified were: (i) understanding of concepts, (ii) understanding of
short circuit, (iii) battery as a constant current source, and (iv) rule application error. Screencasts clarifying
the four misconceptions were developed and distributed to the respondents. On the foundation
of the results of this research, it can be concluded that the students have several misconceptions
around direct current resistive direct current circuits and that the use of TEL like screencasts can be
used to solve some of these misconceptions. Screencasts could supplement education when they
were incorporated into the tutoring and learning for supporting student understanding. The results of
this research could lead to the further development and refinement of screencasts on DC resistive
circuits and also useable guidelines in creating innovative screencasts on DC resistive circuits. / MEd (Curriculum Development), North-West University, Potchefstroom Campus, 2014
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Misconceptions regarding direct-current resistive theory in an engineering course for N2 students at a Northern Cape FET college / Christiaan BeukesBeukes, Christiaan January 2014 (has links)
The aim of this study is to ascertain what misconceptions N2 students have about DC resistive circuits
and how screencasts could effect on the rectification of these misconceptions. This study was
conducted at the Kathu Campus of the Northern Cape Rural Further Education and Training College
in the town Kathu in the arid Northern Cape. The empirical part of this study was conducted during
the first six months of 2013. A design-based research (DBR) method consisting of four phases was
used. DBR function is to design and develop interventions such as a procedure, new teachinglearning
strategies, and in the case of this study a technology-enhanced learning (TEL) tool (screencast)
with the purpose of solving a versatile didactic problem and to acquire information about the interventions
of the TEL tool (screencast) on the learning of a student. In the first and second phase of
DBR quantitative data for this research were gathered with the Determining and Interpreting Resistive
Electric circuits Concepts Test (DIRECT) in order to determine the four most common misconceptions.
The DIRECT test was conducted in the first trimester to find the misconceptions; the test was
conducted in the second trimester also to confirm the misconceptions. Further quantitative data were
collected from a demographic questionnaire. The qualitative data were collected by individual interviews
in the fourth phase of the research project. Phase three of this study was the development of
screencasts in the four most prominent misconceptions in DC resistive circuits of the students. The
respondents of this study were non-randomly chosen and comprised of two groups, one in the first
trimester of the year and one in the second trimester of the year, which enrolled for the N2 Electrical
or Millwright courses. The respondents were predominant male and representing the three main cultural
groups in the Northern Cape namely: Black, Coloured and White. The four misconceptions on
DC resistive circuits that were identified were: (i) understanding of concepts, (ii) understanding of
short circuit, (iii) battery as a constant current source, and (iv) rule application error. Screencasts clarifying
the four misconceptions were developed and distributed to the respondents. On the foundation
of the results of this research, it can be concluded that the students have several misconceptions
around direct current resistive direct current circuits and that the use of TEL like screencasts can be
used to solve some of these misconceptions. Screencasts could supplement education when they
were incorporated into the tutoring and learning for supporting student understanding. The results of
this research could lead to the further development and refinement of screencasts on DC resistive
circuits and also useable guidelines in creating innovative screencasts on DC resistive circuits. / MEd (Curriculum Development), North-West University, Potchefstroom Campus, 2014
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