How Students Use Cognitive Structures to Process Information in the Algebraic Reasoning?

Abstract

<p style="text-align: justify;">Cognitive processes are procedures for using existing knowledge to combine it with new knowledge and make decisions based on that knowledge. This study aims to identify the cognitive structure of students during information processing based on the level of algebraic reasoning ability. This type of research is qualitative with exploratory methods. The data collection technique used began by providing a valid and reliable test instrument for algebraic reasoning abilities for six mathematics education student programs at the Islamic University of Sultan Agung Indonesia. Subjects were selected based on the level of upper, middle, and lower algebraic reasoning abilities. The results showed that (1) students with the highest level of algebraic reasoning ability meet the logical structure of Logical Reasoning which shows that students at the upper level can find patterns and can generalize; (2) Students at the intermediate level understand the cognitive structure of Symbolic Representations, where students can make connections between knowledge and experience and look for patterns and relationships but have difficulty making rules and generalizations; (3) students at lower levels understand the cognitive structure of Comparative Thinking, where students are only able to make connections between prior knowledge and experience.</p>

Are exposure to health information and media health literacy associated with fruit and vegetable consumption?

“…This may be due to the probability that youth with a higher GPA is also superior in cognition, attentiveness, memory, extraction, and reasoning [ 56 ]. In addition, cognitive processes are the steps for using knowledge, combining knowledge with new knowledge, and making decisions based on that knowledge [ 57 ]. Therefore, youth with a higher GPA will be in a better position to understand, analyze, and evaluate health information which, in turn, may prompt them to consume F&V more than those with a lower GPA.…”

Research the Cognitive Processes of Junior High School Students in Solving Algebraic Counting Problems in Story Problems; a Phenomenological Study

“…Cognitive refers to a known process, including knowing as defined by Pantsar (2019). These processes involve leveraging existing knowledge, integrating it with new knowledge, and using the resulting capabilities to make decisions, as described by Basir et al (2022) Furthermore, cognitive processes relate to individual mental processes, specifically regarding the view that the mind has internal mental states such as beliefs, desires, and intentions, which can be understood through information processing.…”

Eksplorasi Berpikir Aljabar Siswa Kelas V dalam Menyelesaikan Soal Pola Bilangan

“…Algebraic thinking is also vital for students to be able to use the correct combination of language, algebraic representation, and mathematical justification commonly used in problem-solving (Siemon et al, 2022). Basir, Waluya, Dwijanto, & Isnarto (2022) explain that in mathematics education, the concept of algebra is a generalization of arithmetic, making algebra an essential component in mathematics. Algebra is crucial in life; for example, when a student faces a problem, they not only solve the problem but also learn something new.…”