Abstract
This study explored the learning progression in Algebra of students from a cohort perspective and individual perspective. Utilizing the cross-sectional and longitudinal research methods and employing the Rasch measurement modeling, the progress in the Algebraic performance of the 592 students (Grade 8, Grade 9 and Grade 10) in a school division in the Philippines was examined four times in around one academic year. Analyses revealed that the students only have a low level of performance in Algebra. Through the Rasch analysis, there was a progress in students' Algebraic performance from a cross-sectional perspective. Their ability estimates increased with the grade level. The performance of the students also developed from the individuals' perspective. More students displayed progress while some retrogressed in their performance in the algebraic test. Moreover, from an individual perspective, the algebraic students' performance developed over the period in all grade levels. There is also an increase in the mastery of the students in the different tasks in the test. The answers of the students are dependent on their ability, as predicted from the Rasch model.
Highlights
Algebra is one of the domains in mathematics for students in junior high school and is being introduced at the elementary level, as indicated in the K-12 mathematics curriculum
This study investigated the learning progression in Algebra of three cohorts of students guided by three research objectives
They made an improvement in their performance in Algebra based on their ability estimates
Summary
Algebra is one of the domains in mathematics for students in junior high school and is being introduced at the elementary level, as indicated in the K-12 mathematics curriculum It plays a fundamental role in understanding and appreciating key concepts and principles applied using appropriate technology in problem-solving, communicating, reasoning, and making connections, representations, and decisions in real life. It includes algebraic notations and symbols, equations, and, most importantly, functions to represent and analyze relationships. This domain is crucial in obtaining the concepts of other domains such as Statistics, Probability, and Calculus. It is applied to solve problems in other fields of science
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