Students Achievement in Mathematics: The Relationship between Performance in Calculus I and Calculus II

Students Achievement in Mathematics: The Relationship between Performance in Calculus I and Calculus II

Authors

  • Maisurah Shamsuddin Universiti Teknologi MARA, Penang Branch, Malaysia
  • Siti Balqis Mahlan Universiti Teknologi MARA, Penang Branch, Malaysia
  • Norazah Umar Universiti Teknologi MARA, Penang Branch, Malaysia

DOI:

https://doi.org/10.24191/jcrinn.v10i1.458

Keywords:

Basic Calculus, Advanced Calculus, Pearson Correlation, Relationship, Descriptive

Abstract

Calculus is among the most important branches of mathematics that is widely used in various fields of science and engineering. It explores changes using basic ideas, including integration, differentiation and limitation. The goal of advanced calculus is to take the basic ideas of calculus to a deeper and more complex level. Basic and advanced calculus have a supportive relationship where learning increasingly difficult problems in advanced calculus requires a solid understanding of basic calculus concepts. Therefore, this study attempts to determine whether the assessment results of engineering students for the subjects calculus I (basic) and calculus II (advanced) have a significant relationship with each other. In addition, student performance in these two subjects was descriptively evaluated. The research sample used was a total of 67 Engineering students who took Calculus I (March - August 23 semesters) and Calculus II (October 23 - February 24 semesters). Students' final assessment scores were taken and analysed using SPSS version 2.0 software through descriptive statistics and Person correlation. Results showed that the performance of students who obtained an A grade in Calculus II had increased by 10% from Calculus I. Based on the Person Correlation analysis, there was a strong positive linear relationship between Calculus I and II with a value of r=0.561 (p-value < 0.05). Although this relationship was significant, only 32.6% of the variation in Calculus II can be explained in this model. It suggests that a wide range of other factors, including learning and teaching strategies used by lecturers or by students themselves, can have an impact on students' performance. Since understanding engineering mathematics necessitates a solid calculus foundation, it is hoped that this study will encourage students to work hard at improving their grasp of the fundamentals of the subject

Downloads

Download data is not yet available.

References

Algani, Y.M., & Eshan, J. (2019). The significance of math problem solving in elementary education. International e-Journal of Educational Studies, 3(6), 181-190.

Brookhart, S. M. (2017). How to use grading to improve learning. ASCD.

Chama, C., Sampa, R. L., Mutambo, D., Musonda, A., & Musonda, F. F. (2023). Learners’ Perceptions and Attitudes Towards Learning of Calculus in Secondary Schools: The Case of Three Selected Secondary Schools in a District of the Northern Province of Zambia. Journal of Advanced Research in Education, 2(3), 68-75.

Domondon, C. S., Pardo, C. G., & Rin, E. T. (2022). Analysis of difficulties of students in learning calculus. Sci.Int. (Lahore), 34(6), 1-4. ISSN 1013-5316; CODEN: SINTE 8.

Duncan, J. (2019). Sequencing calculus I and calculus II: Evidence of effectiveness. Journal of Mathematics Education at Teachers College, 10(1), 1-12.

Garcia, A., & Martinez, L. (2019). Meta-analysis of basic mathematics skills and error analysis in mathematics education. Journal of Mathematics Teacher Education, 28(4), 512-528.

Ghazali, D., & Sufean, H. (2016). Metodologi penyelidikan dalam pendidikan: Amalan dan analisis kajian. Kuala Lumpur: Universiti Malaya

Huang, C. H. (2011). Investigating the attitudes toward calculus of engineering students in Taiwan. World Transactions on Engineering and Technology Education, 9(2), 80-85

Johnson, A., & Barnett, M. (2020). The impact of high school mathematics preparation on college calculus success. Journal of Educational Research, 113(2), 123-135.

Johnson, A., & Brown, R. (2020). Understanding mathematical errors: implications for learning and instruction. Journal of Educational Psychology, 115(3), 371-385.

Johnson, M., Brown, K., & Martinez, S. (2020). Exploring pedagogical approaches in calculus 1 and their impact on student performance in calculus 2. International Journal of Mathematical Education in Science and Technology, 51(7), 977-991.

Lee, B., & Chen, Y. (2019). Impact of mathematical errors on academic performance. Journal of Educational Research, 42(1), 89-102.

Lee, B., & Kim, S. (2019). Predicting college calculus performance: The role of high school mathematics. Mathematics Education Research Journal, 31(3), 297-312.

Lee, H., & Park, S. (2019). Transitioning from calculus 1 to calculus 2: Challenges and opportunities." Journal of Mathematics and Science Teaching, 38(2), 123-137.

Li, Y., & Zhang, Q. (2020). Assessing student learning outcomes in calculus 1 and calculus 2: A longitudinal study. Research in Mathematics Education, 22(3), 287-302.

Maisurah, S., Siti, B.M., Sharifah, S.S.A., & Muniroh, H. (2023). Kefahaman matematik pelajar pra sains: analisa asas algebra. Navigating The Spectrum: The New Wave Of E-Learning Innovations, 7(1), 26-30.

Martinez, L., & Garcia, M. (2022). Advanced high school mathematics and its influence on university calculus performance. Higher Education Studies, 12(1), 45-60.

Martinez, S., & Bain, J. D. (2014). Understanding and interpreting grades in higher education. Assessment & Evaluation in Higher Education, 39(3), 321-340.

Masina, F.K., & Mosvold, R. (2023). Impediments to learning problem-solving in Malawian lower secondary mathematics textbooks. African Journal of Teacher Education and Development, 1(1), 1-9.

McCoy, R., & Weiss, L. (2019). Sequencing calculus courses: implications for student success. Journal of Mathematical Sciences & Mathematics Education, 14(1), 35-46.

Ormonoy, T. (2022). The importance of solving math problems in elementary school. Indonesian Journal of Education Methods Development, 17(4), 6-8.

Parker, R., & Smith, A. (2021). High school mathematics proficiency and university calculus performance. Journal of Educational Research and Practice, 14(3), 254-269.

Retnawati, H. (2022). Empirical Study of Factors Affecting the Students' Mathematics Learning Achievement. International Journal of Instruction, 15(2), 417-434).

Sahmbi, G. (2020). A Tale of Two Universities: Investigating Factors Affecting the Secondary to Tertiary Transition into Calculus for Students in STEM Disciplines. University of Toronto (Canada).

Smith, A., Jones, B., & Williams, C. (2020). Pedagogical strategies in calculus 1 and their impact on student success in calculus 2. Mathematics Education Research Journal, 32(2), 213-230.

Smith, J., & Brown, R. (2021). Advanced mathematics in high school and college calculus success: A correlational study. International Journal of Mathematical Education in Science and Technology, 52(4), 567-580.

Smith, J., & Johnson, E. (2021). The correlation between basic mathematics proficiency and mathematical competence. Journal of Mathematics Education, 35(2), 187-201.

Tazkiya, F. (2023). The importance of mastering mathematical concepts in solving mathematical problems in elementary schools. Ezra Science Bulletin, 1(1), 11-17.

Wawan, & Heri, R. (2022). Empirical study of factors affecting the students' mathematics learning achievement. International Journal of Instruction, 15(2), 417-434.

Williams, T., & Jackson, M. (2021). Impact of additional mathematics on first-year university calculus success. International Journal of Science and Mathematics Education, 19(5), 789-805.

Yayuk, E., Purwanto, Asari, A. R., & Subanji. (2020). Primary school students’ creative thinking skills in mathematics problem solving. European Journal of Educational Research, 9(3), 1281-1295.

Zhang, L., Anderson, T., Nguyen, Q., & Johnson, M. (2022). Assessing the impact of additional mathematics on university calculus performance. Studies in Higher Education, 47(5), 811-824.

Downloads

Published

2025-03-01

How to Cite

Shamsuddin, M., Mahlan, S. B., & Umar, N. (2025). Students Achievement in Mathematics: The Relationship between Performance in Calculus I and Calculus II. Journal of Computing Research and Innovation, 10(1), 243–254. https://doi.org/10.24191/jcrinn.v10i1.458

Issue

Section

General Computing

Most read articles by the same author(s)

Loading...