Difficulties in Learning Geometry Component in Mathematics and Active-Based Learning Methods to Overcome the Difficulties

Abstract

Learning Geometry emphasizes exploring different representations such as virtual manipulatives, written math formulas, and verbal explanations, which help students build mathematical concepts and develop critical thinking. Student’s performance in G.C.E (O/L) examination in Sri Lanka for the Geometry component is at a very low level. This study aims to identify the difficulties of learning Geometry at Grade 11 and provide some suggestions for overcoming these issues using active based learning. This study uses a quantitative survey, a diagnostic test, and a teaching experiment conducted with randomly selected three hundred students from grade 11students and 35 mathematics teachers from 42 schools in Vadamarachchi education zone Sri Lanka. Questionnaires were used to collect data from the teachers and the students. The diagnostic test was also used to collect data from the students. Forty students were selected for the teaching experiment based on diagnostic test results and divided into two equally talented groups using a rubric. The teaching experiment was done to test the effectiveness of activity-based teaching methods in teaching Geometry. Findings from the study revealed that students had greater difficulties in learning Geometry such as drawing diagrams for a given geometric problem and applying more than one theorem to solve a given Geometry problem. Furthermore, Students’ disinterest in the Geometry component and their family background affects their Geometry learning. Additionally, results from the teaching experiment indicate that the student-based learning approaches are more effective than conventional methods for teaching Geometry.

Sorotan Literatur Bersistematik: Strategi Pengajaran dan Pembelajaran Geometri Sekolah Rendah

“…Murid menghadapi kesukaran membentuk pembinaan sebenar yang tepat, ketepatan pengukuran, dan ketekalan jangka masa panjang. Menurut hasil kajian Juman et al, (2022), mendapati kesukaran murid dalam pembelajaran geometri ialah melukis gambar rajah berdasarkan masalah geometri dan menggunakan lebih daripada satu teorem untuk menyelesaikan masalah yang diberi, murid juga tidak berminat dalam geometri dan peranan keluarga turut mempengaruhi. Selain itu, hasil kajian mendapati pendekatan pembelajaran berpusatkan murid adalah lebih berkesan daripada kaedah konvensional untuk mengajar geometri.…”

Linking diversity in learning Geometry: Exploring tessellation in techno-based mathematical tasks

“…As one of the mathematics strands, geometry is used in various fields closely related to real-world contexts and has played significant roles since long ago (Silmi Juman et al, 2022). Silmi Juman et al ( 2022) pointed out that one of evidence that can be seen today was created by Ancient Egyptians, who used geometrical concepts to construct buildings with remarkable shapes and structures.…”

Clases constructivistas de Geometría

“…La enseñanza de la geometría es una tarea importante en la educación porque desarrolla en el estudiante habilidades para conceptualizar, razonar y argumentar (Gamboa y Ballestero, 2010). Sin embargo, se ha identificado que muchos estudiantes tienen dificultades para comprender los conceptos básicos de la geometría y aplicarlos en situaciones reales (Silmi et al, 2022). Esta dificultad puede deberse a una variedad de factores, como la falta de exposición a la geometría en la vida diaria, la metodología de una enseñanza inadecuada y la carencia de habilidades matemáticas básicas (Giarrizzo, 2021).…”