The Development of Learning Achievement and Analytical Thinking Skills in Mathematics on the Topic of Trigonometric Functions through Brain-Based Learning (BBL) combined with Formative Assessment Techniques for Grade 11 Students

Abstract

The objectives of this research were: (1) to improve the mathematics learning achievement of Grade 11 students on the topic of trigonometric functions through Brain-Based Learning (BBL) combined with formative assessment techniques; (2) to compare the mathematics learning achievement of Grade 11 students on the topic of trigonometric functions before and after learning through Brain-Based Learning (BBL) combined with formative assessment techniques; and (3) to compare the analytical thinking skills in mathematics of Grade 11students after learning through Brain-Based Learning (BBL) combined with formative assessment techniques with a criterion of 60%. The sample group consisted of Grade 11 students from Hat Yai Witthayalai 2 School in the first semester of the 2024 academic year, totaling 1 class with 39 students, selected through cluster random sampling. The research instruments included: (1) A learning plan based on brain-based learning (BBL) combined with formative assessment techniques, consisting of 4 plans, with a suitability quality rating of 4.80. (2) An achievement test with a content validity score of 1.00 for all items, difficulty indices ranging from 0.64 to 0.79, discrimination indices between 0.30 and 0.55, and a reliability coefficient of 0.84 and (3) An assessment of mathematical analytical thinking skills, with a content validity score of 1.00 for all items. The data was analyzed using mean (M), standard deviation (SD), relative development scores, and t-test.

The research results were as follows:

1. The students' average pre-test score for mathematics learning achievement on the topic of trigonometric functions, using Brain-Based Learning (BBL) combined with formative assessment techniques was 7.31 (SD = 2.68), while their average post-test score was 27.08 (SD = 6.15). The relative development percentage was 72.61 which was at a high level.

2. The students' mathematics learning achievement on the topic of trigonometric functions after learning through Brain-Based Learning (BBL) combined with formative assessment techniques was significantly higher than before at the 0.05 level.

3. The students' average score for analytical thinking skills in mathematics after learning through Brain-Based Learning (BBL) combined with formative assessment techniques was significantly higher than the 60% criterion at the 0.05 level.