An analysis of how the use of geoboards as visualisation tools can be utilised in the teaching of quadrilaterals
- Authors: Matengu, Given Kahale
- Date: 2019
- Subjects: Manipulatives (Education) , Information visualization , Visualization , Mathematics -- Study and teaching , Mathematics -- Study and teaching -- Activity programs , Geometry -- Study and teaching
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/96724 , vital:31312
- Description: The relationship between visualisation processes and using manipulatives in the teaching and learning of mathematics is apparent and yet not so vocal in the literature. This could be because of the common mistaken understanding that because manipulatives are visual in nature, then visualisation processes should be obvious. Literature warns that just because something is visual therefore it is transparent, is incorrect. This study argues that the effective use of manipulatives in the teaching of mathematics helps learners to effectively understand mathematical concepts. Research on the teaching and learning of mathematics suggests that physical manipulation experiences, especially of concrete materials concerning shapes, is an important process in learning at all ages. One such teaching tool, the Geoboard, a physical manipulative that employs visualisation processes when correctly used, is explored in this study. The aim of this interpretive case study was to investigate and analyse the use of Geoboards as a visualisation tool in the teaching of the properties of quadrilaterals. The study focused on visualisation processes and the use of Geoboards through a teaching framework that was informed by the Van Hiele phases of teaching geometry. The study was conducted in the Opuwo circuit of the Kunene region, Namibia, and it involved three selected Grade 7 mathematics teachers, each from a different primary school. It was underpinned by a constructivist theory using the Van Hiele phases of teaching geometry and framed within visualisation processes. The study employed the use of qualitative data collection techniques such as observations and interviews. The analysis of the findings of this study revealed that Geoboards were very useful in demonstrating the visual representations of the properties of quadrilaterals in a cheap and yet novel way in the selected teachers’ classes. Moreover, the use of Geoboards by the selected teachers effectively fostered visualisation processes such as concrete pictorial imagery, dynamic imagery, perceptual apprehension, sequential apprehension, discursive apprehension and operative apprehension. It was also revealed that Geoboards enabled the selected teachers to structure and teach their lessons in a well-planned manner according to the Van Hiele phases, although it was difficult for them to adhere strictly to the hierarchy of the phases.
- Full Text:
- Date Issued: 2019
Factors affecting grade 6 learners’ performance in Mathematics in the East London Education District
- Authors: Kwateng, Jesse
- Date: 2019
- Subjects: Mathematics -- Study and teaching
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10353/15935 , vital:40565
- Description: Mathematics is one of the most important subjects rooted in many fields of study but has also been one of the greatest challenges for learners in every country, most especially in the Republic of South Africa. There have been attempts to curb the challenges that have bedeviled the success of mathematics education by governments, the Department of Education and many other stakeholders who have not enjoyed positive results in mathematics in the district of East London. Therefore, this study examines factors affecting grade 6 learners’ performance in mathematics in selected schools within the East London education district. There were three hundred and forty-five (345) grade 6 learners and 12 teachers drawn through a parallel mixed methods sampling. Stratified random sampling was used to select participants for the quantitative strand while purposive sampling was used for selecting 60 learners and 12 teachers for the qualitative strand. The researcher used the mixed method research approach. The instruments used in collecting data were structured questionnaire and semi-structured interviews to elicit information from grade 6 learners and teachers. Information gathered from the learners and teachers included: biographical information, factors affecting teaching and learning of mathematics and suggestions. The quantitative data were analyzed by using descriptive statistics of percentage from the responses of learners. The quantitative analysis was done by using excel 2010 to formulate data into percentages and qualitatively, voice recordings from the respondents semi-structured interviews were reduced through thematic analysis. The findings of the study revealed that some of the qualified mathematics educators preferred to work in another profession. Quality of teaching and learning were less effective due to overcrowded classrooms, inadequate teaching and learning resources, poor monitoring of educators, some of the learners were not adequately motivated and many others. For performance in mathematics to improve in the primary schools in East London Education District, the study made some recommendations from the findings to the stakeholders in education such as the Department of Education, principals, the government, educators and learners. These recommendations might virtually assist in finding lasting solutions to grade 6 learners with mathematics challenges.
- Full Text:
- Date Issued: 2019