Utilizing Analogical Reasoning to Aid Children’s Proportional Reasoning Understanding
Journal of Numerical Cognition, 2019 Proportional reasoning is an important skill that relates to fraction learning and math achievement. Because both proportional and analogical reasoning involve comparing relations, we hypothesized that supports for analogical reasoning (multiple ...
Lillian Ham, Elizabeth A. Gunderson
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Investigating teachers and prospective teachers’ pedagogical content knowledge in the field of proportional reasoning with a focus on their problem solving activities on semantic types [PDF]
Fanāvarī-i āmūzish, 2021 and is a potent means for developing algebraic thinking which necessitates students’ understanding of the functional relationship between measure spaces.
A. Poorang +2 more
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Relationship Between Proportional Reasoning and Covariational Reasoning of 7th Grade Students
Journal of Educational Research in Mathematics, 2020 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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Reasoning About Proportional Lumpability
, 2021 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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Education Sciences, 2023 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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Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education
Mathematics, 2022 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
Aksioma: Jurnal Program Studi Pendidikan Matematika, 2021 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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Analogical Proportions and Analogical Reasoning - An Introduction [PDF]
, 2017 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]
Educational Studies in Mathematics, 2012 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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Understanding of Inverse Proportional Reasoning in Pre-Service Teachers
Education Sciences, 2020 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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