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Developing Understanding Of Fraction And Decimal Magnitude: A Teaching Experiment, Elizabeth Cutter-Lin Dec 2023

Developing Understanding Of Fraction And Decimal Magnitude: A Teaching Experiment, Elizabeth Cutter-Lin

Theses and Dissertations

ABSTRACT

DEVELOPING UNDERSTANDING OF FRACTION AND DECIMAL MAGNITUDE: A TEACHING EXPERIMENT

by

Elizabeth Cutter-Lin

The University of Wisconsin-Milwaukee, 2023Under the Supervision of Professor DeAnn Huinker

This study investigated how three fifth-grade students’ understanding of fraction and decimal magnitude evolved over the course of a five-week teaching experiment. Students participated in teaching and learning sessions focused on developing concepts of fraction and decimal magnitude. The following questions guided this study: (1) How do fifth grade students reason about the magnitude of fractions and decimals? (2) What are the shifts in mathematical thinking that occur with students’ evolving understanding as they progress …


Multiplying And Dividing Fractions And Mixed Numbers Using Multiple Models, Pavithra Sridhar Oct 2023

Multiplying And Dividing Fractions And Mixed Numbers Using Multiple Models, Pavithra Sridhar

Inclusive Strategies for Teaching Secondary Mathematics and Science

This lesson is based on the study of Multiplying and Dividing Fractions using multiple representations, and the subsequent application of these concepts to real-life situations. In this lesson, we demonstrate/model multiplication and division of fractions (proper or improper) and mixed numbers using multiple models. We solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without models. The sum, difference, product, and quotient of fraction and mixed number problems are determined. We also determine the sum and difference of fraction, mixed number, and fraction, division, and product of mixed numbers. This lesson focuses on the use …