Self-perceived and actual competencies of senior high school students in General Mathematics

Figures & data

Table 1. Students’ Self-Perceived Competency in General Mathematics

General Mathematics Area	n	SD	M	Description
Functions and their graphs	410	0.69	2.77	Satisfactory
Business Mathematics	410	0.73	2.73	Satisfactory
Logic	410	0.76	2.60	Satisfactory
TOTAL	410	0.66	2.73	Satisfactory

Note: 4.51–5.0 = Excellent; 3.51–4.50 = Very Satisfactory; 2.51–3.50 = Satisfactory; 1.51–2.50 = Fair, 1.0–1.50 = Poor.

Table 2. Students’ Actual Competency in General Mathematics

General Mathematics Area	n	SD	M	Description
Functions and their graphs	410	11.81	32.46	Fair
Business Mathematics	410	10.87	31.88	Fair
Logic	410	11.37	26.89	Fair
TOTAL	410	8.24	31.17	Fair

Note: 80.01–100 = Excellent; 60.01–80 = Very Satisfactory; 40.01–60 = Satisfactory; 20.01–40 = Fair, 0–20 = Poor.

Table 3. Ranking of Self-Perceived Learned Competencies in General Mathematics

Learning Competencies	M	Rank
Performs addition, subtraction, multiplication, division, and composition of functions	3.29	1
Represents a rational function through its: (a) table of values, (b) graph, and (c) equation.	2.92	2
Evaluates a function.	2.91	3
Finds the domain and range of a rational function.	2.89	4
Solves problems involving functions.	2.88	5
Solves problems involving simple and compound interests.	2.86	6
Represents real-life situations using functions, including piece-wise functions.	2.85	7
Graphs rational functions.	2.83	8
Solves rational equations and inequalities.	2.82	9
Illustrates simple and general annuities.	2.82	10

Table 4. Ranking of Actual Learned Competencies in General Mathematics

Learning Competencies	M	Rank
Evaluates a function	67.32	1
Distinguishes rational function, rational equation, and rational inequality	58.29	2
Solves problems rational function, equations, and inequality	55.37	3
Distinguishes logarithmic function, logarithmic equation, and logarithmic inequality.	48.29	4.5
Analyzes the different market indices for stocks and bonds.	48.29	4.5
Illustrates business and consumer loans	45.61	6
Solves rational equations and inequalities	43.66	7
Justifies mathematical and real-life statements using the different methods of proof and disproof.	42.44	8
Computes interest, maturity value, future value, and present value in simple interest and compound interest environment.	41.22	9
Solves problems involving simple and compound interests.	40.73	10

Table 5. Pearson r Correlation between Self-Perceived and Actual Competency of Senior High School Students in General Mathematics

Group	Mean Score	Description	R	p-value
Self- Perceived	2.73	Satisfactory
			0.12	0.807
Actual	31.17	Fair