Enriching my teaching around the inverse order relationship in unit fractions at the Grade 5 level through the inclusion of musical activities: an action research case study
- Authors: Lovemore, Tarryn Shirley
- Date: 2020
- Subjects: Mathematics -- Study and teaching (Elementary) -- South Africa -- Case studies , Interdisciplinary approach in education -- South Africa -- Case studies , Music -- Study and teaching (Elementary) -- South Africa -- Case studies , Music -- Mathematics , Musical notation -- Study and teaching (Elementary)
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/142431 , vital:38079
- Description: This research study explored how the use of musical activities, specifically based on note values, might enrich my teaching around the inverse order relation of unit fractions in my Grade 5 mathematics classroom. Much research has identified fractions as a problematic concept to teach in primary schools. Curriculum expectations of mathematics and music, as well as prior research, recognise a link between these two subject areas. Based on these connections between mathematics and music, I make the case for further research into practical ways in which music and mathematics can be integrated to support teaching and learning in the South African context. This study is located within a qualitative and interpretive framework. The concepts of integration, learning style theory, Gardner’s multiple intelligences and Bresler’s styles of arts integration guide the research. I made use of practical and theoretical activities relating to note values in music. I explored these strategies and the use of learning support materials through an action research case study, in which I engaged in cycles of trialing, reflecting, adjusting and re-trialing within the ‘case’ of my own mathematics class. Data sources comprised of my reflective journal, learner feedback, video- and audio-recorded lessons, examples of learners’ work and interviews with critical peers who observed critical moments from the video recordings. I was guided through the analysis phase by two analytical frameworks: Karsenty and Arcavi’s Six Lense Framework (SLF) and Adler and Ronda’s Mathematics Discourse in Instruction (MDI) framework which I adapted. Using three key lessons, I provide detailed descriptions of how the lessons progressed and then identify and discuss some of the key findings and recurring themes in relation to my study’s research question and goals. Through this process, I show that my integration of mathematics and musical activities helped promote active engagement amongst learners and provided them with co-equivalent opportunities to appreciate the importance of note values in music, and relate this back to understandings around the inverse order relation of unit fractions.
- Full Text:
- Authors: Lovemore, Tarryn Shirley
- Date: 2020
- Subjects: Mathematics -- Study and teaching (Elementary) -- South Africa -- Case studies , Interdisciplinary approach in education -- South Africa -- Case studies , Music -- Study and teaching (Elementary) -- South Africa -- Case studies , Music -- Mathematics , Musical notation -- Study and teaching (Elementary)
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/142431 , vital:38079
- Description: This research study explored how the use of musical activities, specifically based on note values, might enrich my teaching around the inverse order relation of unit fractions in my Grade 5 mathematics classroom. Much research has identified fractions as a problematic concept to teach in primary schools. Curriculum expectations of mathematics and music, as well as prior research, recognise a link between these two subject areas. Based on these connections between mathematics and music, I make the case for further research into practical ways in which music and mathematics can be integrated to support teaching and learning in the South African context. This study is located within a qualitative and interpretive framework. The concepts of integration, learning style theory, Gardner’s multiple intelligences and Bresler’s styles of arts integration guide the research. I made use of practical and theoretical activities relating to note values in music. I explored these strategies and the use of learning support materials through an action research case study, in which I engaged in cycles of trialing, reflecting, adjusting and re-trialing within the ‘case’ of my own mathematics class. Data sources comprised of my reflective journal, learner feedback, video- and audio-recorded lessons, examples of learners’ work and interviews with critical peers who observed critical moments from the video recordings. I was guided through the analysis phase by two analytical frameworks: Karsenty and Arcavi’s Six Lense Framework (SLF) and Adler and Ronda’s Mathematics Discourse in Instruction (MDI) framework which I adapted. Using three key lessons, I provide detailed descriptions of how the lessons progressed and then identify and discuss some of the key findings and recurring themes in relation to my study’s research question and goals. Through this process, I show that my integration of mathematics and musical activities helped promote active engagement amongst learners and provided them with co-equivalent opportunities to appreciate the importance of note values in music, and relate this back to understandings around the inverse order relation of unit fractions.
- Full Text:
Researching the development of a programme that merges mathematics and music in Grade R
- Authors: Stevenson-Milln, Carolyn
- Date: 2018
- Subjects: Mathematics Study and teaching (Elementary) Activity programs , Music and children , Music, Influence of , Music Africa , Action research in education
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/61928 , vital:28084
- Description: This small-scale case study explores the potential for synergy between music and mathematics learning in early childhood education whereby music can be used to help enhance children’s mathematical proficiency. Informal observations of the young learners participating in an Early Number Fun programme initiated by the South African Numeracy Chair Project suggested that many children struggled to exercise executive functioning and self-regulated skills, and struggled also with fluency in basic numeracy concepts such as understanding pattern. This case study was set up to investigate the effect of the development and implementation of a programme in which African music and mathematics learning, (particularly in relation to pattern and sequencing) were blended. The study’s core aim was to contribute to strengthening learners’ executive function and self-regulated learning competencies, both of which are important to learners’ developing agency over their own learning. An Action-Research-embedded-in-Design-Research approach was employed. This allowed an iterative process in developing a new mode of learning through blending music and mathematics. The theory of enactivism provided a theoretical framework to the study. The basic assumptions of an enactive perspective are shared understanding and joint action through engagement (as exemplified through group interaction between learner and teacher, and learning through action). The programme was developed and implemented with ongoing refinements in two Grade R classrooms. Data collected through observation, interviewing, document analysis and the keeping of a reflective research journal, are qualitative in nature. Analysis of the data indicate that the use of African block notation, as a rhythmic medium was well within reach of the participating children, such that at the end of each 16 session intervention programme, learners at both research sites demonstrated their capacity to: • Focus their attention on one activity while a different activity was taking place alongside them. • Watch, listen and only then act. • Practise their numbers through play: to count out and to write up to 16 and beyond. • Notate, read and interpret rhythmic patterns through block notation and instrumentation. The findings suggest the intervention programme could be continued over a longer period for maximum benefit, possibly through following Grade R learners through to Grade 1. The findings further suggest that fun with rhythmic, number-based patterning can assist learners’ development of executive function and self-regulated learning skills.
- Full Text:
- Authors: Stevenson-Milln, Carolyn
- Date: 2018
- Subjects: Mathematics Study and teaching (Elementary) Activity programs , Music and children , Music, Influence of , Music Africa , Action research in education
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/61928 , vital:28084
- Description: This small-scale case study explores the potential for synergy between music and mathematics learning in early childhood education whereby music can be used to help enhance children’s mathematical proficiency. Informal observations of the young learners participating in an Early Number Fun programme initiated by the South African Numeracy Chair Project suggested that many children struggled to exercise executive functioning and self-regulated skills, and struggled also with fluency in basic numeracy concepts such as understanding pattern. This case study was set up to investigate the effect of the development and implementation of a programme in which African music and mathematics learning, (particularly in relation to pattern and sequencing) were blended. The study’s core aim was to contribute to strengthening learners’ executive function and self-regulated learning competencies, both of which are important to learners’ developing agency over their own learning. An Action-Research-embedded-in-Design-Research approach was employed. This allowed an iterative process in developing a new mode of learning through blending music and mathematics. The theory of enactivism provided a theoretical framework to the study. The basic assumptions of an enactive perspective are shared understanding and joint action through engagement (as exemplified through group interaction between learner and teacher, and learning through action). The programme was developed and implemented with ongoing refinements in two Grade R classrooms. Data collected through observation, interviewing, document analysis and the keeping of a reflective research journal, are qualitative in nature. Analysis of the data indicate that the use of African block notation, as a rhythmic medium was well within reach of the participating children, such that at the end of each 16 session intervention programme, learners at both research sites demonstrated their capacity to: • Focus their attention on one activity while a different activity was taking place alongside them. • Watch, listen and only then act. • Practise their numbers through play: to count out and to write up to 16 and beyond. • Notate, read and interpret rhythmic patterns through block notation and instrumentation. The findings suggest the intervention programme could be continued over a longer period for maximum benefit, possibly through following Grade R learners through to Grade 1. The findings further suggest that fun with rhythmic, number-based patterning can assist learners’ development of executive function and self-regulated learning skills.
- Full Text:
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