2010•Teaching Children MathematicsRequires access

From the Classroom: Student-constructed problems extend proportional reasoning

Millard W. Lamm, David Pugalee

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Abstract

Proportional reasoning is perhaps one of the most important types of mathematical thinking for elementary school students to develop. It includes aspects of rational numbers, spans the entire mathematics curriculum, and is a significant foundation for mathematical proficiency. Understanding students' use of proportional reasoning is a basis on which to develop benchmarks or guideposts that can provide a descriptive picture of the learning progression between elementary school math and mathematics encountered in later grades.

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What this paper is about

Proportional reasoning is perhaps one of the most important types of mathematical thinking for elementary school students to develop. It includes aspects of rational numbers, spans the entire mathematics curriculum, and is a significant foundation for mathematical proficiency. Understanding students' use of proportional reasoning is a basis on which to develop benchmarks or guideposts that can provide a descriptive picture of the learning progression between elementary school math and mathematics encountered in later grades.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Proportional reasoning is perhaps one of the most important types of mathematical thinking for elementary school students to develop. It includes aspects of rational numbers, spans the entire mathematics curriculum, and is a significant foundation for mathematical proficiency. Understanding students' use of proportional reasoning is a basis on which to develop benchmarks or guideposts that can provide a descriptive picture of the learning progression between elementary school math and mathematics encountered in later grades.

Key concepts: Proportional reasoning, Mathematics education, Mathematics curriculum, Mathematical logic, Curriculum, Foundation (evidence), Mathematics, Algebra over a field

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