Enhancing Undergraduate Mathematics Students’ Conceptual Knowledge of the Confidence Interval for the Population Mean (Published)
This study illustrates the teaching strategies that undergraduate mathematics lecturers might employ to improve their students’ conceptual knowledge of the confidence interval for the population mean. The study employed an action research method. It allowed the researcher to deepen his knowledge of the subject matter by planning, acting, evaluating, refining, and learning from this experience (Koshy, 2010). The participants consisted of sixty (60) level 200 mathematics students, who were randomly selected from a cohort of mathematics students from a mid-sized university in Ghana. The students completed the tasks assigned to them in their various groups by working collaboratively together, with their lecturer helping the process. They determined the particular theorem to apply in any given situation and applied the confidence interval formula to calculate the confidence intervals. The results indicated that collaborative learning, combined with effective instructional methods, improves students’ conceptual knowledge of the confidence interval. An implication of this study is that students’ prior experiences act as a catalyst to enhance their conceptual knowledge. Thus, students who have a conceptual grasp of sampling techniques can conceptualise confidence intervals with ease. The study concludes that students should thoroughly understand the definitions and theorems relating to a statistical concept before they examine concrete examples relating to confidence intervals.
Citation: Charles Kojo Assuah, Thomas Mensah‒Wonkyi, Matilda Sarpong Adusei, Grace Abedu, & Stephen Ghunney (2022) Enhancing Undergraduate Mathematics Students’ Conceptual Knowledge of the Confidence Interval for the Population Mean, British Journal of Education, Vol.10., Issue 8, pp. 1-17
Assessment of Conceptual and Procedural Knowledge of Students with Special Needs in Mathematics in Benue State (Published)
This study assessed conceptual and procedural knowledge of students with special needs in Mathematics in Benue State. Four research questions and three hypotheses guided the study. Descriptive survey design was adopted for the study. A population of 36 Senior Secondary School (SS1) students in 3 Special Education Schools in Benue State during 2019/2020 academic session were used for the study. The sample size was the same as the population. Two-Tier Algebraic Diagnostic Test (TTADT) item cycle I and cycle II were adapted and validated by two experts in Mathematics Education, one specialist in the field of Test and Measurement all from Benue State University, Makurdi, and one expert in Special Education from Federal University Lafia as well as one SS1 Mathematics teacher from Government Model School, Makurdi. Trial testing was carried out on 10 SS1 students from Dunama Special School Lafia and reliability of TTADT was calculated using Pearson Product Moment Correlation Coefficient and was found to be 0.96. Mean and Standard Deviation were used to analysed data to answer the research questions, while t-test statistics was used to test the null hypotheses at 0.05 level of significance. The first finding of the study shows that the Mean scores of the SSN in Concept Knowledge and Underlining Reasoning were very low below 40% (31.25% and 21.08% respectively), while that of Procedural Knowledge is 40.69%. The second finding of the study shows that there exists a significant difference between the performance of SSN in Conceptual Knowledge and Procedural Knowledge in Algebra in favour of Procedural Knowledge (t=-5.39; P=0.00<0.05). The third finding of the study shows that there exist a significant difference between the performance of SSN in Conceptual Knowledge and Underlining Reasoning in Algebra in favour of Conceptual Knowledge (t=5.71; P=0.00<0.05). The fourth finding of the study shows that there exist a significant difference between the performance of SSN in Procedural Knowledge and Underlining Reasoning in favour of Procedural Knowledge (t=13.70; P=0.00<0.05). It is therefore recommended that, workshops, seminars and conferences should be organized to upscale, and strengthen the capacities of teachers in Special Schools, in the teaching of Conceptual and Procedural Knowledge skills in Algebra and Mathematics in general.