Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing proportional reasoning is not an easy task. In this study, we investigated how teachers give proportional reasoning about the concept of proportional and non-proportional situations, especially in making sense of them. The research subjects were mathematics teachers who had taught proportional-related material. Data was collected using task-based interviews outside the teacher's working hours. Data analysis and interpretation were completed using a framework meaning-based approach. The results of the data analysis showed that the teacher is careful in understanding information, is aware of multiple meanings, and knows key information in understanding the contextual structure of proportional and non-proportional situations. Furthermore, they are also able to identify additive and multiplication relationships, have flexibility in understanding proportional and non-proportional situations separately or collectively, and understand problem-solving systematics in detail.

This study sought to examine the influence of transcription skills, evaluated using graphonomic measures, on the proficiency of text generation in students attending primary schools in Spain. A longitudinal design was employed involving 278 Spanish students distributed across three cohorts (cohort 1: 1st-2nd-4th grade; cohort 2: 2nd-3rd-5th grade; and cohort 3: 3rd-4th-6th grade). Two data collection points were used to administer the graphonomic measures, and a composition letter task was conducted at the conclusion of the study. Four multigroup structural equation models were employed, examining the direct pathways from graphonomic measures (i.e., pressure, speed, pauses, and road length) on text generation (i.e., length, fluency, planning, revision, and organization). The models demonstrated a good fit to the data. The findings from the four models, analyzed within the three cohorts, indicated that the significant effect of transcription (i.e., handwriting) on text production was primarily observed in Cohort 1 (early grades), while no significant effects were found in Cohort 2 (intermediate grades). This suggests that the importance of handwriting in text production in a transparent orthography may be more pronounced during the initial stages of writing development when students are acquiring foundational writing skills.