Study Interest and Mentoring Ability as Predictors of Students’ Mathematical Fluency
Luciano Balicog Jr | Noel Casocot
Discipline: Education
Abstract:
This research sought to examine whether study interest and mentoring ability have a significant impact on students' mathematical fluency. The study focused on selected private junior high schools in the municipalities of Monkayo, Montevista, and Compostela, where the respondents were drawn from. The statistical methods employed in this study included Mean, Pearson-r, and Regression Analysis. The research utilized a quantitative non-experimental design, specifically a correlation technique combined with regression analysis. Results revealed that the level of study interest in terms of feelings, value and involvement was high with an overall mean of 3.592 and has an SD of 0.66 reflected a descriptive rating of high. Furthermore, the mentoring ability was rated as high across several areas, including inspiring, managing risks, encouraging, providing corrective feedback, identifying goals and current reality, building trust, instructing/developing capabilities, opening doors, and listening actively which has an overall mean of 4.005 and has an SD of 0.584 indicating a descriptive rating of high. Additionally, the students displayed high levels of mathematical fluency in a variety of categories, including conceptual understanding, strategic competence, procedural fluency, productive disposition, and adaptive reasoning reflected to have an overall mean of 3.935, has an SD of 0.611. Additionally, the findings showed a significant and positive correlation between study interest and students’ mathematical fluency which has an R-value of 0.699* and p-value of <.001. Lastly, findings revealed a significant and positive correlation between mentoring ability and students’ mathematical fluency which has an R-value of 0.688* and p-value of <.001.
References:
- Ankucic, M. (2019). Mathematics practice and fluency, 3P Learning. Retrieved from: https://www.3plearning.com/blog/mathematics-fluency/.
- Ashby, B. (2009). Exploring children’s attitudes towards mathematics. proceedings of the British Society for Research into Learning mathematics, 29(1), 7-12.
- Baker, A. T., & Cuevas, J. (2018). The importance of automaticity development in mathematics. Georgia Educational Researcher, 14(2), 11-23.
- Barham, A. I. (2020). Investigating the Development of Pre-Service Teachers' Problem-Solving Strategies via Problem-Solving Mathematics Classes. European Journal of Educational Research, 9(1), 129-141.
- Barham, A. I. (2020). Investigating the Development of Pre-Service Teachers' Problem-Solving Strategies via Problem-Solving Mathematics Classes. European Journal of Educational Research, 9(1), 129-141.
- Berinšterová, M. (2021). Mentoring of university students: functions and important charactertics. Človek a Spoločnosť, 23, 1-17. https://doi.org/10.31577/CAS.2020.04.577.
- Best, J. (2019). Here's why mathematical fluency is critical for problem-solving and reasoning, 3P Learning. Retrieved from: https://www.3plearning.com/blog/mathematical-fluency-problem-solving-reasoning/
- Boat, A., Weiler, L., Bailey, M., Haddock, S., & Henry, K. (2019). Mentor’s Self-Efficacy Trajectories During a Mentoring Program for At-Risk Adolescents. The Journal of Primary Prevention, 40, 575 - 589. https://doi.org/10.1007/s10935-019-00566-z.
- Bringard, A. N. (2017). TEACHER PERCEPTION OF MATH FACT FLUENCY AND THE IMPACT ON STUDENT ACHIEVMENT AND CLASSROOM INSTRUCTION (Doctoral dissertation, Carson-Newman University).
- Bryson, D. (2021). Continuing professional development and mentoring. Journal of Visual Communication in Medicine, 45, 64 - 66. https://doi.org/10.1080/17453054.2021.2005459.
- Bryson, D. (2021). Continuing professional development and mentoring. Journal of Visual Communication in Medicine, 45, 64 - 66. https://doi.org/10.1080/17453054.2021.2005459.
- Campbell, P. F., & Malkus, N. N. (2014). The mathematical knowledge and beliefs of elementary mathematics specialist-coaches. ZDM, 46, 213-225.
- Cartwright, K. (2018). Exploring Mathematical Fluency: Teachers' Conceptions and Descriptions of Students. Mathematics Education Research Group of Australasia.
- Cartwright, K. (2018). Exploring Mathematical Fluency: Teachers' Conceptions and Descriptions of Students. Mathematics Education Research Group of Australasia.
- Carvalho, R. (2023). TEACHING MATHEMATICS IN BASIC EDUCATION THROUGH PROBLEM SOLVING. Revista Gênero e Interdisciplinaridade. https://doi.org/10.51249/gei.v4i05.1573.
- Chan, M. C. E., Clarke, D., & Cao, Y. (2018). The social essentials of learning: An experimental investigation of collaborative problem solving and knowledge construction in mathematics classrooms in Australia and China. Mathematics Education Research Journal, 30, 39-50.
- Copur-Gencturk, Y., & Doleck, T. (2021). Strategic competence for multistep fraction word problems: an overlooked aspect of mathematical knowledge for teaching. Educational Studies in Mathematics, 107, 49 - 70. https://doi.org/10.1007/s10649-021-10028-1.
- Cozad, L. E., & Riccomini, P. J. (2016). Effects of digital-based math fluency interventions on learners with math difficulties: A Review of the literature. Journal of Special Education Apprenticeship, 5(2), n2.
- Fosnot, C. T., & Dolk, M. L. A. M. (2001). Young mathematicians at work: constructing multiplication and division: Heinemann Portsmouth, NH.
- Frey, B. B. (Ed.). (2018). The SAGE encyclopedia of educational research, measurement, and evaluation. Sage Publications
- Gao, Y., & Wang, X. (2022). Towards Understanding Teacher Mentoring, Learner WCF Beliefs, and Learner Revision Practices Through Peer Review Feedback: A Sociocultural Perspective. Journal of Language and Education. https://doi.org/10.17323/jle.2022.15962.
- Geary, D. C., Hoard, M. K., Nugent, L., & Bailey, D. H. (2013). Adolescents’ functional numeracy is predicted by their school entry number system knowledge. PloS one, 8(1), e54651.
- Gilbert, M. C. (2016). Relating aspects of motivation to facets of mathematical competence varying in cognitive demand. The Journal of Educational Research, 109(6), 647–657. https://doi.org/10.1080/00220671.2015.1020912.
- Gottlieb, A. (2018). Listening Skills. Nurturing Hope. https://doi.org/10.1002/9781119350804.ch4.
- Guinocor, M., Almerino, P., Mamites, I., Lumayag, C., Villaganas, M. A., & Capuyan, M. (2020). Mathematics performance of students in a Philippine State University. International Electronic Journal of Mathematics Education, 15(3), em0586.
- Hatcher, S. M., Agnew-Brune, C., Anderson, M., Zambrano, L. D., Rose, C. E., Jim, M. A., ... & McCollum, J. (2020). COVID-19 among American Indian and Alaska native persons—23 states, January 31–July 3, 2020. Morbidity and Mortality Weekly Report, 69(34), 1166.
- Heinze, A., Reiss, K., & Franziska, R. (2005). Mathematics achievement and interest in mathematics from a differential perspective. ZDM, 37, 212-220.
- Hendrickson, S., Kuehl, B., & Hilton, S. (2018). Connecting the Dots: Building Procedural Fluency. Mathematics Teaching in the Middle School. https://doi.org/10.5951/MATHTEACMIDDSCHO.24.2.0104.
- Hidayat, R., Zulnaidi, H., & Zamri, S. (2018). Roles of metacognition and achievement goals in mathematical modeling competency: A structural equation modeling analysis. PLoS ONE, 13. https://doi.org/10.1371/journal.pone.0206211.
- Hilali, K., Mughairi, B., Kian, M., & Karim, A. (2020). Coaching and Mentoring. Concepts and Practices in Development of Competencies: A Theoretical Perspective. International Journal of Academic Research in Accounting, Finance and Management Sciences, 10. https://doi.org/10.6007/ijarafms/v10-i1/6991.
- Hoon, T., Singh, P., Adnan, M., & Choo, K. (2021). Students’ Reflections on Dispositions in a Mathematics Classroom. , 6, 61-78. https://doi.org/10.21834/JABS.V6I18.384.
- Humphrey, W. (2021). What is a Mentor?. Academic medicine : Journal of the Association of American Medical Colleges. https://doi.org/10.1201/9781003154648-2.
- Ili, L., Rumasoreng, M., Prabowo, A., & Setiana, D. (2021). Relationship between student learning interest and mathematics learning achievement: A meta-analysis. Al-Jabar : Jurnal Pendidikan Matematika. https://doi.org/10.24042/ajpm.v12i2.9715.
- Kamid, K., Anwar, K., Iriani, D., & Nawahdani, A. (2021). Analysis of interest and process skills in learning mathematics. Jurnal Riset Pendidikan Matematika. https://doi.org/10.21831/jrpm.v8i2.42640.
- Kaplan, D. (2019). What mentoring means to me. Journal of Geography in Higher Education, 43, 116 - 124. https://doi.org/10.1080/03098265.2019.1570089.
- Kihwele, J. E., & Mkomwa, J. (2022). Promoting students’ interest and achievement in mathematics through “King and Queen of Mathematics” initiative. Journal of Research in Innovative Teaching & Learning, (ahead-of-print).
- Knekta, E., Rowland, A. A., Corwin, L. A., & Eddy, S. (2020). Measuring university students’ interest in biology: Evaluation of an instrument targeting Hidi and Renninger’s individual interest. International Journal of STEM Education, 7, 1-16.
- Köller, O., Baumert, J., & Schnabel, K. (2001). Does interest matter? The relationship between academic interest and achievement in mathematics. Journal for research in mathematics education, 32(5), 448-470.
- König, J., Blömeke, S., Jentsch, A., Schlesinger, L., Nehls, C., Musekamp, F., & Kaiser, G. (2021). The links between pedagogical competence, instructional quality, and mathematics achievement in the lower secondary classroom. Educational Studies in Mathematics, 107, 189-212. https://doi.org/10.1007/S10649-020-10021-0.
- Krapp, A. (1999). Interest, motivation and learning: an educational-psychological perspective. European Journal of Psychology of Education, 14(1), 23–40.
- Kuijpers, J. M., Houtveen, A. A. M., & Wubbels, T. (2010). An integrated professional development model for effective teaching. Teaching and Teacher Education, 26(8), 1687-1694.
- Lastri, L., Kartikowati, S., & Sumarno, S. (2020). Analysis of Factors that Influence Student Learning Achievement. Journal of Educational Sciences. https://doi.org/10.31258/jes.4.3.p.679-693.
- Latterell, C. M., & Wilson, J. L. (2013). What is mathematics and why does it matter? ETC: A Review of General Semantics, 387-394.
- Lee, Y. M. (2012). Discriminating math low-achievement motivation patterns: comparing disadvantaged and other students in elementary and junior high school. Journal of Research in Education Sciences, 57(4), 39–71. https://doi.org/10.3966/2073753X2012125704002.
- Lewis, K., Kuhfeld, M., Ruzek, E., & McEachin, A. (2021). Learning during COVID-19: Reading and math achievement in the 2020-21 school year. Center for School and Student Progress.
- Lin, F. Y., & Kubina, R. M. (2005). A preliminary investigation of the relationship between fluency and application for multiplication. Journal of Behavioral Education, 14, 73-87.
- Luzzo, D. A., Hasper, P., Albert, K. A., Bibby, M. A., & Martinelli Jr, E. A. (1999). Effects of self-efficacy-enhancing interventions on the math/science self-efficacy and career interests, goals, and actions of career undecided college students. Journal of Counseling Psychology, 46(2), 233.
- Magsambol, B. (2020). PH lowest among 58 countries in math, science–Global assessment. Rappler. Retrieved February, 2, 2021.
- Mazana, M. Y., Montero, C. S., & Casmir, R. O. (2020). Assessing students’ performance in mathematics in Tanzania: the teacher’s perspective. International Electronic Journal of Mathematics Education, 15(3), em0589.
- Mbugua, Z.K., Kibet, K., Muthaa, G.M. and Nkonke, G.R. (2012) Factors Contributing to Students Poor Performance in Mathematics at Kenya Certificate of Secondary Education in Kenya: A Case of Baringo County, Kenya. American International Journal of Contemporary Research, 2, 87-91.
- Mullis, I. V., Martin, M. O., Foy, P., Kelly, D. L., & Fishbein, B. (2020). TIMSS 2019 international results in mathematics and science. Retrieved from Boston College, TIMSS & PIRLS International Study Center website: https://timssandpirls. bc. edu/timss2019/international results.
- National Council of Teachers of Mathematics (2014). Principles to Actions: Executive Summary. Downloaded June 19, 2014.
- Okoro, P. (2018). Perceived Strategies for Enhancing Effective Mentoring In Business Education in Universities. ATBU Journal of Science, Technology and Education, 6, 293-300.
- Outhred, T., & Chester, A. (2010). The experience of class tutors in a peer tutoring programme: A novel theoretical framework. Australasian Journal of Peer Learning, 3(3), 12-23.
- Panthi, R. K., & Belbase, S. (2017). Teaching and learning issues in mathematics in the context of Nepal.
- Parish, S. (2014). Number Talks: Helping Children Build Mental Math and Computation Strategies, Grades K-5, Updated with Common Core Connections. Math Solutions.
- Porter, A., McMaken, J., Hwang, J., & Yang, R. (2011). Common core standards: The new US intended curriculum. Educational researcher, 40(3), 103-116.
- Rahman, M., Juniati, D., & Manuharawati, M. (2022). High school students' mathematical proficiency based on mathematics anxiety and cognitive independence. Cypriot Journal of Educational Sciences. https://doi.org/10.18844/cjes.v17i10.8200.
- Ramos-Christian, V., Schleser, R., & Varn, M. E. (2008). Math fluency: Accuracy versus speed in preoperational and concrete operational first and second grade children. Early Childhood Education Journal, 35, 543-549.
- Reber, R., Canning, E., & Harackiewicz, J. (2018). Personalized Education to Increase Interest. Current Directions in Psychological Science, 27, 449 - 454. https://doi.org/10.1177/0963721418793140.
- Renninger, K., & Hidi, S. E. (2019). Interest development and learning.
- Richard, J. T. (2003). Ideas on Fostering Creative Problem Solving in Executive Coaching. Consulting Psychology Journal: Practice and Research, 55(4), 249.
- Rozgonjuk, D., Kraav, T., Mikkor, K., Orav-Puurand, K., & Täht, K. (2020). Mathematics anxiety among STEM and social sciences students: the roles of mathematics self-efficacy, and deep and surface approach to learning. International Journal of STEM Education, 7(1), 1-11.
- Sa’ad, T. U., Adamu, A., & Sadiq, A. M. (2014). The causes of poor performance in mathematics among public senior secondary school students in Azare metropolis of Bauchi State, Nigeria. Journal of Research & Method in Education, 4(6), 32.
- Shriki, A., & Patkin, D. (2016). Elementary school mathematics teachers’ perception of their professional needs. Teacher Development, 20(3), 329- 347. https://doi.org/10.1080/13664530.2016.115 5476
- Singh, K., Granville, M., & Dika, S. (2002). Mathematics and science achievement: Effects of mathematics and science achievement. The Journal of Educational Research, 95(6), 323– 332. doi:10.1080/00220670209596607
- Steen, L. A. (2007). How mathematics counts. Educational Leadership, 65(3), 8-14.
- Stoessiger, R. (2002). An introduction to critical numeracy. Australian Mathematics Teacher, 58(4), 17-20.
- Strayhorn, T. L. (2015). Student development theory in higher education: A social psychological approach. Routledge.
- Summer, A. (2020), “A sustainable way of teaching basic mathematics”, Discourse and Communication for Sustainable Education, Vol. 11 No. 2, pp. 106-120, doi: 10.2478/dcse-2020-0021.
- Tambunan, H. (2018). The Dominant Factor of Teacher’s Role as A Motivator of Students’ Interest and Motivation in Mathematics Achievement. International Education Studies, 11, 144-151. https://doi.org/10.5539/IES.V11N4P144.
- Tharp, R.G. & Gallimore, R. (1988). Rousing Minds to Life. Teaching, Learning and Schooling in Social Context. Cambridge: Cambridge University Press.
- Tuomikoski, A., Ruotsalainen, H., Mikkonen, K., & Kääriäinen, M. (2019). Nurses' experiences of their competence at mentoring nursing students during clinical practice: A systematic review of qualitative studies.. Nurse education today, 85, 104258 . https://doi.org/10.1016/j.nedt.2019.104258.
- Uyun, M., Bahriah, Y., & Fitriani, F. (2022). Interest and learning motivation with student participation. Psikoislamedia : Jurnal Psikologi. https://doi.org/10.22373/psikoislamedia.v7i2.13794.
- Wang, L. (2021). The analysis of mathematics academic burden for primary school students based on PISA data analysis. Frontiers in Psychology, 12, 600348.
- Wertsch, J. V. (1984). The zone of proximal development: Some conceptual issues. New Directions for Child and Adolescent Development, 1984(23), 7-18.
- Wertsch, J. V., & Stone, C. A. (1985). The concept of internalization in Vygotsky's account of the genesis of higher mental functions. In J. V. Wertsch (Ed.), Culture, communication, and cognition: Vygotskian perspectives (pp. 162-182). New York: Cambridge University Press.
- Wong, M., & Evans, D. (2007). Improving basic multiplication fact recall for primary school students. Mathematics Education Research Journal, 19(1), 89-106.
- Wong, S., & Wong, S. (2019). Relationship between interest and mathematics performance in a technology-enhanced learning context in Malaysia. Research and Practice in Technology Enhanced Learning, 14, 1-13. https://doi.org/10.1186/s41039-019-0114-3.
- Yeh, C. Y., Cheng, H. N., Chen, Z. H., Liao, C. C., & Chan, T. W. (2019). Enhancing achievement and interest in mathematics learning through Math-Island. Research and Practice in Technology Enhanced Learning, 14(1), 1-19.
- Yu, R., & Singh, K. (2016). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. The Journal of Educational Research, 1–14. https://doi.org/10.1080/00220671.2016.1204260.