Mathematics in Environmental Education: An Investigation of Preservice Teachers’ Skills in Drawing and Interpreting Population Size Graphs
Year 2024,
Volume: 18 Issue: 2, 460 - 479, 27.12.2024
Veli Ünlü
,
Zeynep Koyunlu Ünlü
Abstract
Drawing and interpretation graphs, as key mathematical skills, are widely used in teaching various subjects within science education. Population ecology, a topic in the environmental education course within the elementary education curriculum of Türkiye, is one such subject. In the context of this environmental education course, graphs are employed to teach and interpret the factors influencing the growth and decline of populations. This qualitative study aimed to examine the graph drawing and interpretation skills of preservice elementary school teachers in relation to population size. Fifty-seven preservice elementary school teachers from the elementary education department of a university in the Central Anatolia region of Türkiye participated in the study. These preservice teachers were provided with growth rate vs. time graphs of different populations and were asked to draw and interpret graphs representing change numbers of individuals vs. time. The findings revealed that many preservice teachers struggled with both drawing and interpreting population graphs. Specifically, most participants encountered difficulties while drawing and interpreting linear and particularly curvilinear graphs, as they failed to account for the simultaneous changes in two variables. The study’s findings are expected to raise awareness about the importance of mathematical skills and the need for interdisciplinary collaboration in environmental education, as well as providing direction for future research.
Ethical Statement
The study involves human participants. Ethics committee permission was obtained from Yozgat Bozok University, Social and Human Sciences Ethics Committee.
References
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- Aydan, B., & Dönel Akgül, G. (2021). Pre-service science teachers’ skills of reading, interpreting and drawing graphs. ATLAS Journal International Refereed Journal on Social Sciences, 7(40), 1768-1796. http://dx.doi.org/10.31568/atlas.678
- Aydın, A., & Tarakçı, F. (2018). The investigation of the pre-service science teachers’ abilities to read, interpret and draw graphs. Elementary Education Online, 17(1), 469-488. https://doi.org/10.17051/ilkonline.2018.413806
- Basu, D., & Panorkou, N. (2019). Integrating covariational reasoning and technology into the teaching and learning of the greenhouse effect. Journal of Mathematics Education, 12(1), 6-23. https://doi.org/10.26711/007577152790035
- Carlson, M., Jacobs, S., Coe, E., Larsen, S., & Hsu, E. (2002). Applying covariational reasoning while modeling dynamic events: A framework and a study. Journal for Research in Mathematics Education, 33(5), 352–378. https://doi.org/10.2307/4149958
- Coştu, F., Ercan, O., & Coştu, B. (2017). Pre-service science teachers’ levels of graph reading and interpretation. Buca Faculty of Education Journal, 44, 194-213. https://dergipark.org.tr/tr/pub/deubefd/issue/35768/401197
- Erbilgin, E., Arıkan, S., & Yabanlı H. (2015). Assessing line graph comprehension and construction skills. Ahi Evran University Journal of Kırşehir Education Faculty (KEFAD), 16(2), 43-61. https://dergipark.org.tr/tr/pub/kefad/issue/59450/854099
- Gant, A. L., Paoletti, T., & Corven, J. (2023). Exploring the prevalence of covariational reasoning across mathematics and science using TIMSS 2011 assessment items. International Journal of Science and Mathematics Education, 21, 2349-2373. https://doi.org/10.1007/s10763-023-10353-2
- González, D. A. (2021). The progression of preservice teachers’ covariational reasoning as they model global warming. Journal of Mathematical Behavior, 62. https://doi.org/10.1016/j.jmathb.2021.100859
- González, D. A. (2024). The role of preservice teachers’ quantitative and covariational reasoning in understanding climate change. Cognition and Instruction, 42(2), 294-326. https://doi.org/10.1080/07370008.2024.2314499
- Krell, M., Redman, C., Mathesius, S., Krüger, D. & van Driel, J. (2020). Assessing pre-service science teachers’ scientific reasoning competencies. Research in Science Education, 50, 2305-2329. https://doi.org/10.1007/s11165-018-9780-1
- Lawson, E. A., Clark, B., Meldrum- Cramer, E., Falconer, K., A., Sequist, J. M., & Kwon, Y-J. (2000). Development of scientific reasoning in college biology: do two levels of general hypothesis-testing skills exist?. Journal of Research in Science Teaching 37(1), 81-101.
https://doi.org/10.1002/(SICI)1098-2736(200001)37:1<81:AID-TEA6>3.0.CO;2-I
- Leinhardt, G., Zaslavsky, O., & Stein, M. K. (1990). Functions, graphs, and graphing: tasks, learning and teaching. Review of Educational Research, 60(1), 1-64. https://doi.org/10.3102/00346543060001001
- McDermott, L. C., Rosenquist, M. L., & Van Zee, E. H. (1987). Student difficulties in connecting graphs and physics: Examples from kinematics. American Journal of Physics, 55(6), 503-513. https://doi.org/10.1119/1.15104
- MoNE (2005). İlköğretim fen ve teknoloji dersi (6, 7 ve 8. sınıflar) öğretim programı.
- MoNE (2013). İlköğretim kurumları (ilkokullar ve ortaokullar) fen bilimleri dersi (3, 4, 5, 6, 7 ve 8. sınıflar) öğretim programı.
- MoNE (2018). İlköğretim kurumları (ilkokullar ve ortaokullar) fen bilimleri dersi (3, 4, 5, 6, 7 ve 8. sınıflar) öğretim programı.
- MoNE (2024). Fen bilimleri dersi öğretim programı (3, 4, 5, 6, 7 ve 8. sınıflar) Türkiye Yüzyılı Maarif Modeli. Ankara.
- Merriam, S. B. (2013). Qualitative research a guide to design and implementation. John Wiley & Sons.
- Mumu, J., Prahmana, R. C. I., Sabariah, V., Tanujaya, B., Bawole, R., Warami, H., & Monim, H. O. L. (2021). Students’ ability to solve mathematical problems in the context of environmental issues. Mathematics Teaching Research Journal, 13(4), 99-111. https://files.eric.ed.gov/fulltext/EJ1332360.pdf
- Osborne, J., & Allchin, D. (2024). Science literacy in the twenty-first century: informed trust and the competent outsider. International Journal of Science Education, 1–22. https://doi.org/10.1080/09500693.2024.2331980
- Özdemir, D. (2021). Integration of mathematics and environmental education: change in the views of 5th grade students toward sustainability. Acta Didactica Napocensia, 14(2), 194-202. https://doi.org/10.24193/adn.14.2.14
- Planinic, M., Ivanjek, L., Susac, A., & Milin-Sipus, Z. (2013). Comparison of university students’ understanding of graphs in different contexts. Physical Review Special Topics-Physics Education Research, 9(2), 020103. https://doi.org/10.1103/PhysRevSTPER.9.020103
- Roth, W. M. & Bowen, G. M. (2001). Professionals reads graphs: a semiotic analysis. Journal for Research in Mathematics Education, 32(2), 159-194.https://www.jstor.org/stable/pdf/749672.pdf
- Sezek, F. (2022). Determination of graphic literacy levels of primary teacher candidates. International Social, Mentality and Researcher Thinkers Journal, 8(63), 1651-1660. https://smartofjournal.com/?mod=tammetin&makaleadi=&key=64390
- Shah, P. & Hoeffner, J. (2002). Review of graph comprehension research: implications for instruction. Educational Psychology Review, 14, 47-69. https://doi.org/10.1023/A:1013180410169
- Sülün, Y., & Kozcu, N. (2005). The mistakes of 8. class students in primary schools in perception on interpretation of graphic questions about the subject of environment and population in the high school entrance exams. Erzincan University Journal of Education Faculty, 7(1) 25-33. https://dergipark.org.tr/en/download/article-file/67179
- Şahinkaya, N., & Aladağ, E. (2013). The views of pre-service class teachers on graphics. Adiyaman University Journal of Social Sciences, 6(15), 309-328. https://dergipark.org.tr/tr/download/article-file/15087
- Tairab, H. H., & Khalaf Al-Naqbi, A.K. (2004). How do secondary school science students interpret and construct scientific graphs?. Journal of Biological Education, 38(3), 127-132. https://doi.org/10.1080/00219266.2004.9655920
- Taşar, M. F., Kandil İngeç, Ş., & Ünlü Güneş, P. (2002, September 16-18). Grafik çizme ve anlama becerisinin saptanması [Conference presentation]. V. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, Ankara, Türkiye.
- Thompson, P. W., & Carlson, M. P. (2017). Variation, covariation, and functions: Foundational ways of thinking mathematically. In J. Cai (Ed.), First compendium for research in mathematics education (pp. 421-456). Reston, VA: NCTM.
Çevre Eğitiminde Matematik: Öğretmen Adaylarının Popülasyon Büyüklüğü Grafiği Çizme ve Yorumlama Becerilerinin İncelenmesi
Year 2024,
Volume: 18 Issue: 2, 460 - 479, 27.12.2024
Veli Ünlü
,
Zeynep Koyunlu Ünlü
Abstract
Matematiksel bir beceri olan grafik çizme ve yorumlama, fen eğitiminde pek çok konunun öğretiminde kullanılmaktadır. Sınıf öğretmenliği programında yer alan çevre eğitimi dersindeki popülasyon ekolojisi bu konulardan biridir. Çevre eğitimi dersi kapsamında bir popülasyonun büyüme ve küçülme nedenlerinin öğretimi ve yorumlanmasında grafiklere başvurulmaktadır. Nitel olarak yürütülen bu çalışmada sınıf öğretmen adaylarının popülasyon grafiği çizme ve yorumlama becerilerinin incelenmesi amaçlanmıştır. Araştırmaya Türkiye’nin İç Anadolu Bölgesinde yer alan bir üniversitenin sınıf eğitimi bölümünde öğrenim gören 57 öğretmen adayı katılmıştır. Sınıf öğretmen adaylarına farklı popülasyonlara ait büyüme hızı-zaman grafikleri verilmiş, onlardan birey sayısındaki değişimleri zamana göre gösteren grafikler çizmeleri ve yorumlamaları istenmiştir. Sonuçlar öğretmen adaylarının popülasyon grafiği çizme ve yorumlama konusunda güçlük yaşadığını göstermiştir. Doğrusal ve özellikle eğrisel grafiklerin çizim ve yorumlanmasında öğretmen adaylarının çoğu iki değişkenin eş zamanlı değişimini hesaba katamamıştır. Araştırma sonuçlarının çevre eğitiminde matematiksel becerilerin kullanımına ve disiplinler arası işbirliğinin gerekliliğine ilişkin farkındalığı artıracağı, yapılacak çalışmalara rehber olacağı düşünülmektedir.
References
- Altindis, N., Bowe, K. A., Couch, B., Bauer, C. F., & Aikens, M. L. (2024). Exploring the role of disciplinary knowledge in students’ covariational reasoning during graphical interpretation. International Journal of STEM Education, 11(32), 1-23. https://doi.org/10.1186/s40594-024-00492-5
- Ateş, S., Temiz, K. B., Yüksel, İ., Şahin F., İnaltun, H., & Yalvaç, E. (2019). Scientific reasoning (logical thinking), Palme.
- Aydan, B., & Dönel Akgül, G. (2021). Pre-service science teachers’ skills of reading, interpreting and drawing graphs. ATLAS Journal International Refereed Journal on Social Sciences, 7(40), 1768-1796. http://dx.doi.org/10.31568/atlas.678
- Aydın, A., & Tarakçı, F. (2018). The investigation of the pre-service science teachers’ abilities to read, interpret and draw graphs. Elementary Education Online, 17(1), 469-488. https://doi.org/10.17051/ilkonline.2018.413806
- Basu, D., & Panorkou, N. (2019). Integrating covariational reasoning and technology into the teaching and learning of the greenhouse effect. Journal of Mathematics Education, 12(1), 6-23. https://doi.org/10.26711/007577152790035
- Carlson, M., Jacobs, S., Coe, E., Larsen, S., & Hsu, E. (2002). Applying covariational reasoning while modeling dynamic events: A framework and a study. Journal for Research in Mathematics Education, 33(5), 352–378. https://doi.org/10.2307/4149958
- Coştu, F., Ercan, O., & Coştu, B. (2017). Pre-service science teachers’ levels of graph reading and interpretation. Buca Faculty of Education Journal, 44, 194-213. https://dergipark.org.tr/tr/pub/deubefd/issue/35768/401197
- Erbilgin, E., Arıkan, S., & Yabanlı H. (2015). Assessing line graph comprehension and construction skills. Ahi Evran University Journal of Kırşehir Education Faculty (KEFAD), 16(2), 43-61. https://dergipark.org.tr/tr/pub/kefad/issue/59450/854099
- Gant, A. L., Paoletti, T., & Corven, J. (2023). Exploring the prevalence of covariational reasoning across mathematics and science using TIMSS 2011 assessment items. International Journal of Science and Mathematics Education, 21, 2349-2373. https://doi.org/10.1007/s10763-023-10353-2
- González, D. A. (2021). The progression of preservice teachers’ covariational reasoning as they model global warming. Journal of Mathematical Behavior, 62. https://doi.org/10.1016/j.jmathb.2021.100859
- González, D. A. (2024). The role of preservice teachers’ quantitative and covariational reasoning in understanding climate change. Cognition and Instruction, 42(2), 294-326. https://doi.org/10.1080/07370008.2024.2314499
- Krell, M., Redman, C., Mathesius, S., Krüger, D. & van Driel, J. (2020). Assessing pre-service science teachers’ scientific reasoning competencies. Research in Science Education, 50, 2305-2329. https://doi.org/10.1007/s11165-018-9780-1
- Lawson, E. A., Clark, B., Meldrum- Cramer, E., Falconer, K., A., Sequist, J. M., & Kwon, Y-J. (2000). Development of scientific reasoning in college biology: do two levels of general hypothesis-testing skills exist?. Journal of Research in Science Teaching 37(1), 81-101.
https://doi.org/10.1002/(SICI)1098-2736(200001)37:1<81:AID-TEA6>3.0.CO;2-I
- Leinhardt, G., Zaslavsky, O., & Stein, M. K. (1990). Functions, graphs, and graphing: tasks, learning and teaching. Review of Educational Research, 60(1), 1-64. https://doi.org/10.3102/00346543060001001
- McDermott, L. C., Rosenquist, M. L., & Van Zee, E. H. (1987). Student difficulties in connecting graphs and physics: Examples from kinematics. American Journal of Physics, 55(6), 503-513. https://doi.org/10.1119/1.15104
- MoNE (2005). İlköğretim fen ve teknoloji dersi (6, 7 ve 8. sınıflar) öğretim programı.
- MoNE (2013). İlköğretim kurumları (ilkokullar ve ortaokullar) fen bilimleri dersi (3, 4, 5, 6, 7 ve 8. sınıflar) öğretim programı.
- MoNE (2018). İlköğretim kurumları (ilkokullar ve ortaokullar) fen bilimleri dersi (3, 4, 5, 6, 7 ve 8. sınıflar) öğretim programı.
- MoNE (2024). Fen bilimleri dersi öğretim programı (3, 4, 5, 6, 7 ve 8. sınıflar) Türkiye Yüzyılı Maarif Modeli. Ankara.
- Merriam, S. B. (2013). Qualitative research a guide to design and implementation. John Wiley & Sons.
- Mumu, J., Prahmana, R. C. I., Sabariah, V., Tanujaya, B., Bawole, R., Warami, H., & Monim, H. O. L. (2021). Students’ ability to solve mathematical problems in the context of environmental issues. Mathematics Teaching Research Journal, 13(4), 99-111. https://files.eric.ed.gov/fulltext/EJ1332360.pdf
- Osborne, J., & Allchin, D. (2024). Science literacy in the twenty-first century: informed trust and the competent outsider. International Journal of Science Education, 1–22. https://doi.org/10.1080/09500693.2024.2331980
- Özdemir, D. (2021). Integration of mathematics and environmental education: change in the views of 5th grade students toward sustainability. Acta Didactica Napocensia, 14(2), 194-202. https://doi.org/10.24193/adn.14.2.14
- Planinic, M., Ivanjek, L., Susac, A., & Milin-Sipus, Z. (2013). Comparison of university students’ understanding of graphs in different contexts. Physical Review Special Topics-Physics Education Research, 9(2), 020103. https://doi.org/10.1103/PhysRevSTPER.9.020103
- Roth, W. M. & Bowen, G. M. (2001). Professionals reads graphs: a semiotic analysis. Journal for Research in Mathematics Education, 32(2), 159-194.https://www.jstor.org/stable/pdf/749672.pdf
- Sezek, F. (2022). Determination of graphic literacy levels of primary teacher candidates. International Social, Mentality and Researcher Thinkers Journal, 8(63), 1651-1660. https://smartofjournal.com/?mod=tammetin&makaleadi=&key=64390
- Shah, P. & Hoeffner, J. (2002). Review of graph comprehension research: implications for instruction. Educational Psychology Review, 14, 47-69. https://doi.org/10.1023/A:1013180410169
- Sülün, Y., & Kozcu, N. (2005). The mistakes of 8. class students in primary schools in perception on interpretation of graphic questions about the subject of environment and population in the high school entrance exams. Erzincan University Journal of Education Faculty, 7(1) 25-33. https://dergipark.org.tr/en/download/article-file/67179
- Şahinkaya, N., & Aladağ, E. (2013). The views of pre-service class teachers on graphics. Adiyaman University Journal of Social Sciences, 6(15), 309-328. https://dergipark.org.tr/tr/download/article-file/15087
- Tairab, H. H., & Khalaf Al-Naqbi, A.K. (2004). How do secondary school science students interpret and construct scientific graphs?. Journal of Biological Education, 38(3), 127-132. https://doi.org/10.1080/00219266.2004.9655920
- Taşar, M. F., Kandil İngeç, Ş., & Ünlü Güneş, P. (2002, September 16-18). Grafik çizme ve anlama becerisinin saptanması [Conference presentation]. V. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, Ankara, Türkiye.
- Thompson, P. W., & Carlson, M. P. (2017). Variation, covariation, and functions: Foundational ways of thinking mathematically. In J. Cai (Ed.), First compendium for research in mathematics education (pp. 421-456). Reston, VA: NCTM.