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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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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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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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Reasoning About Proportional Lumpability
In this paper we reason about the notion of proportional lumpability, that generalizes the original definition of lumpability to cope with the state space explosion problem inherent to the computation of the performance indices of large stochastic models. Lumpability is based on a state aggregation technique and applies to Markov chains exhibiting some
Carla Piazza, Sabina Rossi
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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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STUDENTS’ PROPORTIONAL REASONING IN MATHEMATICS THROUGH COVID-19 PANDEMIC CONTEXT
The aim of this study was to ascertain high school students' proportional reasoning in the sense of the COVID-19 pandemic. How do students' thoughts flow when confronted with problems requiring proportional reasoning?
Rohati Rohati +2 more
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Understanding of Inverse Proportional Reasoning in Pre-Service Teachers
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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Investigating the skills of junior high school students in posing problems in field of proportional reasoning [PDF]
This study investigates the skills of junior high school students in posing problems in the field of proportional reasoning. This study, by considering purpose and implementation consecutively, is applied and descriptive (survey type) in nature.
Hamidreza Barkhordari +2 more
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Analogical Proportions and Analogical Reasoning - An Introduction [PDF]
Analogical proportions are statements of the form “a is to b as c is to d”. For more than a decade now, their formalization and use have raised the interest of a number of researchers. In this talk we shall primarily focus on their modeling in logical settings, both in the Boolean and in the multiple-valued cases.
Prade, Henri, Richard, Gilles
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Proportional reasoning in the laboratory: an intervention study in vocational education [PDF]
AbstractBased on insights into the nature of vocational mathematical knowledge, we designed a computer tool with which students in laboratory schools at senior secondary vocational school level could develop a better proficiency in the proportional reasoning involved in dilution.
Bakker, Arthur +4 more
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