Teaching fractions for understanding: addressing interrelated concepts

Paper

Getenet, Seyum and Callingham, Rosemary. 2017. "Teaching fractions for understanding: addressing interrelated concepts." Downton, Ann, Livy, Sharyn and Hall, Jennifer (ed.) 40th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA40). Melbourne, Australia 02 - 06 Jul 2017 Adelaide, Australia.
Paper/Presentation Title

Teaching fractions for understanding: addressing interrelated concepts

Presentation TypePaper
AuthorsGetenet, Seyum (Author) and Callingham, Rosemary (Author)
EditorsDownton, Ann, Livy, Sharyn and Hall, Jennifer
Journal or Proceedings TitleProceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia
ERA Conference ID50230
Number of Pages8
Year2017
Place of PublicationAdelaide, Australia
ISBN9781920846305
Web Address (URL) of Paperhttp://amsi.org.au/events/event/mathematics-education-research-group-australasia-conference-merga40-2017/
Conference/Event40th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA40)
Annual conference of the Mathematics Education Research Group of Australasia
Event Details
40th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA40)
Parent
Annual conference of the Mathematics Education Research Group of Australasia
Delivery
In person
Event Date
02 to end of 06 Jul 2017
Event Location
Melbourne, Australia
Event Details
Annual conference of the Mathematics Education Research Group of Australasia
MERGA
Mathematics Education Research Group of Australasia Conference (MERGA)
Abstract

The concept of fractions is perceived as one of the most difficult areas in school mathematics to learn and teach. The most frequently mentioned factors contributing to the
complexity is fractions having five interrelated constructs: part-whole, ratio, operator, quotient, and measure. In this study, we used this framework to investigate the practices in a New Zealand Year 7 classroom. Video recordings and transcribed audio recordings were analysed through the lenses of the five integrated concepts of fraction. The findings showed
that students often initiated unexpected uses of fractions as quotient and as operator, drawing on part whole understanding when solving fraction problems

Keywordsfractions; mathematics; teaching
ANZSRC Field of Research 2020390109. Mathematics and numeracy curriculum and pedagogy
Public Notes

File reproduced in accordance with the copyright policy of the publisher/author.

Byline AffiliationsSchool of Teacher Education and Early Childhood
University of Tasmania
Institution of OriginUniversity of Southern Queensland
Permalink -

https://research.usq.edu.au/item/q44y6/teaching-fractions-for-understanding-addressing-interrelated-concepts

Log in to edit

Download files

Published Version
MERGA40 _Getenet.pdf
File access level: Anyone

  • 2555
    total views
  • 1494
    total downloads
  • 32
    views this month
  • 17
    downloads this month

Export as

Related outputs

Understanding how pre-service teachers design numeracy-rich activities in non-mathematic curriculum areas
Getenet, Seyum. 2024. "Understanding how pre-service teachers design numeracy-rich activities in non-mathematic curriculum areas." Journal of Research in Innovative Teaching & Learning. https://doi.org/10.1108/JRIT-05-2024-0124
Improving Teaching and Learning in Higher Education through Machine Learning: Proof of Concept’ of AI’s Ability to Assess the Use of Key Microskills.
Dann, Christopher, O'Neill, Shirley, Getenet, Seyum, Chakraborty, Subrata, Saleh, Khaled and Yu, Kun. 2024. "Improving Teaching and Learning in Higher Education through Machine Learning: Proof of Concept’ of AI’s Ability to Assess the Use of Key Microskills." Education Sciences. 14 (8). https://doi.org/10.3390/educsci14080886
Proceedings of the 46th Annual Conference of the Mathematics Education Research Group of Australasia
Višňovská, Jana, Ross, Emily and Getenet, Seyum. Višňovská, Jana, Ross, Emily and Getenet, Seyum (ed.) 2024. Proceedings of the 46th Annual Conference of the Mathematics Education Research Group of Australasia . Australia.
Numeracy Across the Australian Curriculum: Opportunities from F to 6
Getenet, Seyum, Baker, Penelope, Fielding-Wells, Jill, Muir, Tracey and Adeniji, Saidat. 2024. "Numeracy Across the Australian Curriculum: Opportunities from F to 6." Višňovská, Jana, Ross, Emily and Getenet, Seyum (ed.) 46th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA46). Gold Coast, Australia 30 Jun - 04 Jul 2024 Australia.
Relationship Between Pre-Service Teachers' Early Mathematics Experiences and Their Current Self-Perception on Mathematics
Getenet, Seyum, Adeniji, Saidat and Fanshawe, Melissa. 2024. "Relationship Between Pre-Service Teachers' Early Mathematics Experiences and Their Current Self-Perception on Mathematics." Getenet, Seyum (ed.) 46th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA46). Gold Coast, Australia 30 Jun - 04 Jul 2024 Australia.
Making sense of student feedback and engagement using artificial intelligence
Dann, Christopher, Redmond, Petrea, Fanshawe, Melissa, Brown, Alice, Getenet, Seyum, Shaik, Thanveer, Tao, Xiaohui, Galligan, Linda and Li, Yan. 2024. "Making sense of student feedback and engagement using artificial intelligence." Australasian Journal of Educational Technology. 40 (3). https://doi.org/10.14742/ajet.8903
Bridging the digital divide: gender and learning mode impacts on pre-service teacher digital competence and online engagement
Getenet, Seyum, Haeusler, Carole, Redmond, Petrea, Cantle, Robert and Crouch, Vanessa. 2024. "Bridging the digital divide: gender and learning mode impacts on pre-service teacher digital competence and online engagement." Irish Educational Studies. https://doi.org/10.1080/03323315.2024.2359694
Pre-service teachers and ChatGPT in multistrategy problem-solving: Implications for mathematics teaching in primary schools
Getenet, Seyum. 2024. "Pre-service teachers and ChatGPT in multistrategy problem-solving: Implications for mathematics teaching in primary schools." International Electronic Journal of Mathematics Education. 19 (1). https://doi.org/10.29333/iejme/14141
Students’ digital technology attitude, literacy and self‑efficacy and their effect on online learning engagement
Getenet, Seyum, Cantle, Robert, Redmond, Petrea and Albion, Peter. 2024. "Students’ digital technology attitude, literacy and self‑efficacy and their effect on online learning engagement." International Journal of Educational Technology in Higher Education. 21. https://doi.org/10.1186/s41239-023-00437-y
First-year Preservice Teachers’ Understanding of Digital Technologies and Their Digital Literacy, Efficacy, Attitude, and Online Learning Engagement: Implication for Course Design
Getenet, Seyum, Haeusler, Carole, Redmond, Petrea, Cantle, Robert and Crouch, Vanessa. 2024. "First-year Preservice Teachers’ Understanding of Digital Technologies and Their Digital Literacy, Efficacy, Attitude, and Online Learning Engagement: Implication for Course Design." Technology, Knowledge and Learning. https://doi.org/10.1007/s10758-023-09724-z
Feelings about feedback: Differing perceptions among teachers and students in a university preparation program in Australia.
Parkes, Frey, Chang, Heejin, Dowden, Tony, Getenet, Seyum, Leach, Tania, J-F and Luetz, Johannes M.. 2023. "Feelings about feedback: Differing perceptions among teachers and students in a university preparation program in Australia." Australian Association for Research in Education (AARE) 2023 Annual Conference. Melbourne, Australia 27 Nov - 01 Dec 2023 Australia.
Examining students’ behavioural engagement in lecture videos with and without embedded quizzes in an online course.
Singh, Niharika, Getenet, Seyum and Tualaulelei, Eseta. 2023. "Examining students’ behavioural engagement in lecture videos with and without embedded quizzes in an online course." 40th Annual Conference of the Australasian Society for Computers in Learning in Tertiary Education (ASCILITE 2023). Christchurch, New Zealand 03 - 06 Dec 2023 New Zealand. https://doi.org/10.14742/apubs.2023.571
Designing an artificial intelligence tool to understand student engagement based on teacher's behaviours and movements in video conferencing
Verma, Navdeep, Getenet, Seyum, Dann, Christopher and Shaik, Thanveer. 2023. "Designing an artificial intelligence tool to understand student engagement based on teacher's behaviours and movements in video conferencing." Computers and Education: Artificial Intelligence. 5. https://doi.org/10.1016/j.caeai.2023.100187
Describing a teacher’s pedagogical mathematical knowledge in STEM teaching
Getenet, Seyum, Fielding-Wells, Jill, Hay, Ian and Callingham, Rosemary. 2023. "Describing a teacher’s pedagogical mathematical knowledge in STEM teaching." Mathematics Education Research Journal. https://doi.org/10.1007/s13394-023-00480-y
Are the technologies you’re using really engaging students online?
Tualaulelei, Eseta and Getenet, Seyum. 2023. "Are the technologies you’re using really engaging students online?" ASCILITE Technology Enhanced Learning Blog.
Characteristics of engaging teaching videos in higher education: a systematic literature review of teachers’ behaviours and movements in video conferencing
Verma, Navdeep, Getenet, Seyum, Dann, Christopher and Shaik, Thanveer. 2023. "Characteristics of engaging teaching videos in higher education: a systematic literature review of teachers’ behaviours and movements in video conferencing." Research and Practice in Technology Enhanced Learning. 18. https://doi.org/10.58459/rptel.2023.18040
The influence of students’ prior numeracy achievement on later numeracy achievement as a function of gender and year levels
Getenet, S.. 2023. "The influence of students’ prior numeracy achievement on later numeracy achievement as a function of gender and year levels." Mathematics Education Research Journal. https://doi.org/10.1007/s13394-023-00469-7
Using interactive technologies to enhance student engagement in higher education online learning
Getenet, Seyum and Tualaulelei, Eseta. 2023. "Using interactive technologies to enhance student engagement in higher education online learning." Journal of Digital Learning in Teacher Education. 39 (4), pp. 220-234. https://doi.org/10.1080/21532974.2023.2244597
Investigating Pre-Service Teachers’ Skills in Designing Numeracy Activities Across Curriculum Areas Involving Statistics
Getenet, Seyum. 2023. "Investigating Pre-Service Teachers’ Skills in Designing Numeracy Activities Across Curriculum Areas Involving Statistics." Reid-O'Connor, B., Prieto-Rodriguez, E., Holmes, K. and Hughes, A. (ed.) 45th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA45). Newcastle, Australia 02 - 06 Jul 2023 Australia.
Investigating the use of the National Assessment Program – Literacy and Numeracy (NAPLAN) test results
Getenet, Seyum and Getnet, Hailu. 2023. "Investigating the use of the National Assessment Program – Literacy and Numeracy (NAPLAN) test results." Studies in Educational Evaluation. 78. https://doi.org/https://doi.org/10.1016/j.stueduc.2023.101277
Students’ behavioural engagement with recorded lecture videos: Panopto video analytics
Getenet, Seyum, Singh, Niharika, Tualaulelei, Eseta, Pillay, Yosheen and Worsley, Sue. 2022. "Students’ behavioural engagement with recorded lecture videos: Panopto video analytics." EdMedia + Innovate Learning Conference 2022. United States 01 - 03 Nov 2022 United States.
The Role of Technologies to Enhance Pre-service Teachers’ Engagement in an Online Mathematics Education Course
Getenet, Seyum, Worsley, Sue, Tualaulelei, Eseta and Pillay, Yosheen. 2022. "The Role of Technologies to Enhance Pre-service Teachers’ Engagement in an Online Mathematics Education Course." Fitzallen, Noleine, Murphy, Carol and Hatisaru, Vesife (ed.) 44th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA44). Launceston, Australia 03 - 07 Jul 2022 Adelaide, Australia.
George Preferred Learning Fraction Concepts with Physical Rather than Virtual Manipulatives
Getenet, Seyum. 2022. "George Preferred Learning Fraction Concepts with Physical Rather than Virtual Manipulatives." Fitzallen, Noleine, Murphy, Carol and Hatisaru, Vesife (ed.) 44th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA44). Launceston, Australia 03 - 07 Jul 2022 Adelaide, Australia.
Teachers’ Knowledge Framework for Designing Numeracy Rich Tasks across Non-Mathematics Curriculum Areas
Getenet, Seyum Tekeher. 2022. "Teachers’ Knowledge Framework for Designing Numeracy Rich Tasks across Non-Mathematics Curriculum Areas." International Journal of Education in Mathematics, Science, and Technology. 10 (3), pp. 663-680. https://doi.org/10.46328/ijemst.2137
Designing Professional Development: Beyond General Principles
Getenet, Seyum, Callingham, Rosemary and Beswick, Kim. 2014. "Designing Professional Development: Beyond General Principles." Anderson, Judy, Cavanagh, Michael and Prescott, Anne (ed.) 37nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA37). Sydney, Australia 29 Jun - 03 Jul 2014
First-year education students' time and space preferences: Accessing study materials online
Johnston, Robbie, Fluck, Andrew, Robertson, Margaret and Getenet, Seyum. 2012. "First-year education students' time and space preferences: Accessing study materials online." Teaching Matters 2012. Launceston, Tasmania 04 Dec 2012 Tasmania.
Machine learning system to guide teacher reflection on behavior management skills
Dann, Christopher, O'Neill, Shirley, Getenet, Seyum, Aboufarw, Khaled, Verma, Navdeep, Chakraborty, Subrata, Yu, Kun, Edmondson, Shawn, Quirke-Bolt, Nigel, Levy, Dalit, McFarlane, Stephen, Quadrelli, Carol, Daly, Molly and Seifert, Tami. 2021. "Machine learning system to guide teacher reflection on behavior management skills." Bastiaens, Theo (ed.) Innovate Learning Summit 2021. United States 09 - 11 Nov 2021 United States.
Enhancing mathematics teacher educators' technological pedagogical content knowledge through collaborative professional development
Getenet, Seyum Tekeher. 2015. Enhancing mathematics teacher educators' technological pedagogical content knowledge through collaborative professional development. PhD Thesis Doctor of Philosophy. University of Tasmania.
Predictors of children’s achievement: analysis of the Australian National Numeracy Assessment Program
Getenet, Seyum and Beswick, Kim. 2021. "Predictors of children’s achievement: analysis of the Australian National Numeracy Assessment Program." Educational Assessment, Evaluation and Accountability. 33 (4), pp. 591-620. https://doi.org/10.1007/s11092-021-09364-w
Adapting technological pedagogical content knowledge framework to teach mathematics
Getenet, Seyum Tekeher. 2017. "Adapting technological pedagogical content knowledge framework to teach mathematics." Education and Information Technologies. 22 (5), pp. 2629-2644. https://doi.org/10.1007/s10639-016-9566-x
Video-enhanced feedback
Dann, Christopher and Getenet, Seyum. 2020. "Video-enhanced feedback." Tatnall, Arthur (ed.) Encyclopedia of education and information technologies. Switzerland. Springer.
Teacher education and professional development for technology integrated teaching
Getenet, Seyum and Beswick, Kim. 2020. "Teacher education and professional development for technology integrated teaching." Tatnall, Arthur (ed.) Encyclopedia of education and information technologies. Switzerland. Springer.
Technology and the knowledge quartet
Oates, Greg, Callingham, Rosemary, Getenet, Seyum, Hay, Ian, Beswick, Kim and Thomas, Damon. 2019. "Technology and the knowledge quartet." Hine, Gregory, Blackley, Susan and Cooke, Audrey (ed.) 42nd Annual Conference of the Mathematics Education Research Group of Australasia (MERGA42). Perth, Western Australia 30 Jun - 04 Jul 2019
Designing a professional development program for mathematics teachers for effective use of technology in teaching
Getenet, Seyum Tekeher. 2020. "Designing a professional development program for mathematics teachers for effective use of technology in teaching." Education and Information Technologies. 25 (3), pp. 1855-1873. https://doi.org/10.1007/s10639-019-10056-8
Correction to: Teaching interrelated concepts of fraction for understanding and teacher’s pedagogical content knowledge
Getenet, Seyum and Callingham, Rosemary. 2020. "Correction to: Teaching interrelated concepts of fraction for understanding and teacher’s pedagogical content knowledge." Mathematics Education Research Journal. 32 (4), pp. 683-684. https://doi.org/10.1007/s13394-019-00282-1
Using design-based research to bring partnership between researchers and practitioners
Getenet, Seyum. 2019. "Using design-based research to bring partnership between researchers and practitioners." Educational Research. 61 (4), pp. 482-494. https://doi.org/10.1080/00131881.2019.1677168
Teaching interrelated concepts of fraction for understanding and teacher’s pedagogical content knowledge
Getenet, Seyum and Callingham, Rosemary. 2021. "Teaching interrelated concepts of fraction for understanding and teacher’s pedagogical content knowledge." Mathematics Education Research Journal. 33 (2), pp. 201-221. https://doi.org/10.1007/s13394-019-00275-0
The practice of using NAPLAN numeracy test results: a review of the literature
Getenet, Seyum and Fanshawe, Melissa. 2018. "The practice of using NAPLAN numeracy test results: a review of the literature." Hunter, Jodie, Darragh, Lisa and Perger, Pam (ed.) 41st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA41). Auckland, New Zealand 01 - 05 Jul 2018 Adelaide, Australia.
Teenagers perceptions of teachers: a developmental argument
J-F, J- F, Swabey, Karen, Pullen, Darren, Getenet, Seyum and Dowden, Tony. 2018. "Teenagers perceptions of teachers: a developmental argument." Australian Journal of Teacher Education. 43 (2), pp. 26-38. https://doi.org/10.14221/ajte.2018v43n2.2
Design-based research in doctoral studies: adding a new dimension to doctoral research
Goff, Wendy and Getenet, Seyum. 2017. "Design-based research in doctoral studies: adding a new dimension to doctoral research." International Journal of Doctoral Studies. 12, pp. 107-121. https://doi.org/10.28945/3761
Towards 'operating within' the field: doctoral students' views of supervisors' discipline expertise
Gube, Jan, Getenet, Seyum, Satariyan, Adnan and Muhammad, Yaar. 2017. "Towards 'operating within' the field: doctoral students' views of supervisors' discipline expertise." International Journal of Doctoral Studies. 12, pp. 1-16. https://doi.org/10.28945/3641
Using dynamic software to teach mathematical concepts: the cases of GeoGebra and Microsoft Mathematics
Getenet, Seyum. 2018. "Using dynamic software to teach mathematical concepts: the cases of GeoGebra and Microsoft Mathematics." The Electronic Journal of Mathematics and Technology. 12 (1), pp. 209-229.
Professionalizing in- service teachers’ focus on technological pedagogical and content knowledge
Getenet, Seyum Tekeher, Beswick, Kim and Callingham, Rosemary. 2016. "Professionalizing in- service teachers’ focus on technological pedagogical and content knowledge." Education and Information Technologies. 21 (1), pp. 19-34. https://doi.org/10.1007/s10639-013-9306-4
The impact of professional development on early childhood educators’ confidence, understanding and knowledge of education for sustainability
Dyment, Janet E., Davis, Julie M., Nailon, Diane, Emery, Sherridan, Getenet, Seyum, McCrea, Nadine and Hill, Allen. 2014. "The impact of professional development on early childhood educators’ confidence, understanding and knowledge of education for sustainability." Environmental Education Research. 20 (5), pp. 660-679. https://doi.org/10.1080/13504622.2013.833591
Perspectives on professional development in Australian education: some realities of Standards-based professional development
Getenet, Seyum, Trimble, Allison and Nailon, Diane. 2013. "Perspectives on professional development in Australian education: some realities of Standards-based professional development." International Journal of Innovative Interdisciplinary Research. 2 (2), pp. 34-48.
Mathematics teacher educators’ and pre-service teachers’ beliefs about the use of technology in teaching in an African university
Getenet, Seyum. 2013. "Mathematics teacher educators’ and pre-service teachers’ beliefs about the use of technology in teaching in an African university." International Journal of Innovative Interdisciplinary Research. 2 (2), pp. 9-20.
Exploring how adults who work with young children conceptualise sustainability and describe their practice initiatives
Hill, Allen, Emery, Sherridan, Nailon, Di, Dyment, Janet, Getenet, Seyum, McCrea, Nadine and Davis, Julie M.. 2014. "Exploring how adults who work with young children conceptualise sustainability and describe their practice initiatives." Australasian Journal of Early Childhood. 39 (3), pp. 14-22.
Measuring mathematics teacher educators' knowledge of technology integrated teaching: instrument development
Getenet, Seyum Tekeher and Beswick, Kim. 2013. "Measuring mathematics teacher educators' knowledge of technology integrated teaching: instrument development." Steinle, Vicki, Ball, Lynda and Bardini, Caroline (ed.) 36th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA36). Melbourne, Australia 07 - 11 Jul 2013 Australia.
Using ICT in teaching a specific mathematics concept: graphs of logarithmic functions
Getenet, Seyum Tekeher and Beswick, Kim. 2014. "Using ICT in teaching a specific mathematics concept: graphs of logarithmic functions." Oesterle, Susan, Liljedahl, Peter, Nicol, Cynthia and Allan, Darien (ed.) 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education (PME 38/PME-NA 36). Vancouver, Canada 15 - 20 Jul 2014 Czech Republic.
Conceptualising technology integrated mathematics teaching: the STAMP knowledge framework
Getenet, Seyum Tekeher, Beswick, Kim and Callingham, Rosemary. 2015. "Conceptualising technology integrated mathematics teaching: the STAMP knowledge framework." 2015 Annual Conference for the Psychology of Mathematics Education Mathematics Education: Climbing Mountains, Building Bridges (PME 39):. Hobart, Australia 13 - 18 Jul 2015 Czech Republic.
Exploring supervisory support in an Australian university: perspectives of doctoral students in an education faculty
Satariyan, Adnan, Getenet, Seyum, Gube, Jan and Muhammad, Yaar. 2015. "Exploring supervisory support in an Australian university: perspectives of doctoral students in an education faculty." Journal of the Australia and New Zealand Student Services Association. 46, pp. 1-12.
School dropout and associations with anti-social behaviours: a Bhutanese study
Sonam, Gyamtsho, J-F, Dr., Getenet, Seyum and Swabey, Karen. 2015. "School dropout and associations with anti-social behaviours: a Bhutanese study." Bhutan Journal of Research and Development. 3 (2), pp. 1-12.
Explaining student achievement: the influence of teachers' pedagogical content knowledge in statistics
Callingham, Rosemary, Carmichael, Colin and Watson, Jane M.. 2015. "Explaining student achievement: the influence of teachers' pedagogical content knowledge in statistics ." International Journal of Science and Mathematics Education. 14 (7), pp. 1-19. https://doi.org/10.1007/s10763-015-9653-2
Linking Research and Practice: Educational Design Research
Getenet, Seyum Tekeher and Beswick, Kim. 2016. "Linking Research and Practice: Educational Design Research." Fan, Si and Fielding, Jill (ed.) What is Next in Educational Research?. Netherlands . Brill. pp. 29-40
Measuring middle school students' interest in statistical literacy
Carmichael, Colin, Callingham, Rosemary, Hay, Ian and Watson, Jane. 2010. "Measuring middle school students' interest in statistical literacy." Mathematics Education Research Journal. 22 (3), pp. 9-39. https://doi.org/10.1007/BF03219776