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Understanding of Inverse Proportional Reasoning in Pre-Service Teachers [PDF]
From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it.
Ismael Cabero-Fayos +3 more
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Proportional reasoning as a threshold to numeracy at university: A framework for analysis
There is a generally acknowledged need for students to be quantitatively literate in an increasingly quantitative world. This includes the ability to reason critically about data in context.
Pam Lloyd, Vera Frith
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Investigating Proportional Reasoning in a University Quantitative Literacy Course
The ability to reason with proportions is known to take a long time to develop and to be difficult to learn. We regard proportional reasoning (the ability to reason about quantities in relative terms) as a threshold concept for academic quantitative ...
Vera Frith, Pam Lloyd
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Teachers’ noticing of proportional reasoning
Abstract The importance of understanding what and how mathematics teachers notice is well documented, but more research is needed on content-specific noticing. In particular, knowing how teachers notice proportional reasoning, a vital topic spanning all grades of mathematics, could inform measures that support students’ proportional reasoning.
Julie M. Amador +2 more
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How do junior high school students solve proportional reasoning problems?
Proportional reasoning is a crucial skill that students need to master to achieve success in learning mathematics at both the elementary and secondary levels.
Filian Yunita Sari +3 more
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Prospective elementary school teachers’ proportional reasoning [PDF]
We present the findings of a study on prospective elementary teachers’ proportional reasoning. After describing some of the teachers’ performance in solving multiplicative structure problems that involve ratios and relations of direct proportionality between quantities, we were able to establish classifications of their answers according to various ...
Valverde, Gabriela, Castro, Encarnación
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Many Mathematical concepts require students to use proportional reasoning. Proportional reasoning can be an indication of the level of students' mastery of mathematics on subjects involving comparison problems.
IMAM YUWONO, ADELIA ANANDA PUTRI
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To promote optimal learning in their students, mathematics teachers must be proficient in problem posing, making this skill a cornerstone in teacher training programs.
Nicolás Tizón-Escamilla, María Burgos
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Relationship Between Proportional Reasoning and Covariational Reasoning of 7th Grade Students
To understand the relationship between students' proportional reasoning and covariational reasoning, clinical interview was conducted with four 7th grade students. Students participated in four interviews each of which took about three-four hours.
JongHee Park, Soo Jin Lee
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Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education
The development of probabilistic thinking at school requires enhancing combinatorial and proportional reasoning. For this reason, 190 sixth-grade elementary school students (11–12-year-old), without previous instruction in the topic, solve a task ...
Maria Ricart, Assumpta Estrada
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