Results 221 to 230 of about 25,444 (256)

Developing Proportional Reasoning with Ratios

2012
Proportional reasoning has been recognised as a crucial focus of mathematics in the middle years and also as a frequent source of difficulty for students (Lamon, 2007). Proportional reasoning concerns the equivalence of pairs of quantities that are related multiplicatively; that is, equivalent ratios including those expressed as fractions and percents.
Jane Watson, Kim Beswick, Natalie Brown
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Proportional reasoning in young children: The parts and the whole of it.

Journal of Educational Psychology, 1997
Evidence concerning intuitive foundations for fraction learning was obtained in a study of early developments in proportional reasoning. Children aged 5 to 7 years (kindergarten to 2nd grade) were given problems constructed so as to differentiate between reasoning based on the relations of a part to the whole versus reasoning based on relations between
Catherine Sophian, Amy Wood
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Social Justice and Proportional Reasoning

Mathematics Teaching in the Middle School, 2015
Textbook tasks can easily be transformed into authentic real-world problems that shed light on issues of equity and fairness, such as population growth and crime rates.
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The structure of prospective kindergarten teachers’ proportional reasoning

Journal of Mathematics Teacher Education, 2011
Lamon (Teaching fractions and ratios for understanding. Essential content knowledge and instructional strategies for teachers, 2nd edn. Lawrence Erlbaum Associates, Mahwah, 2005) claimed that the development of proportional reasoning relies on various kinds of understanding and thinking processes.
Pitta-Pantazi, Demetra, Christou, Constantinos, Pitta-Pantazi, Demetra, Christou, Constantinos   +3 more
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Geometry and Proportional Reasoning in Agriculture

Mathematics Teaching in the Middle School, 2018
As you are enjoying your favorite icecream cone or sundae, take a moment to think about where your ice cream came from. If you have never visited a dairy farm, you might have a quaint image of a person sitting on a stool, milking a cow by hand into a metal pail.
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Developing the Foundation for Proportional Reasoning

2017
This chapter highlights students’ reasoning as they worked on five tasks that encouraged the development of proportional reasoning. Students built models for solutions to the tasks, representing specific numbers with Cuisenaire rods, attending to the attribute of length.
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Developmental patterns in proportional reasoning

2005
The editors of this book asked the contributors to answer three basic questions about cognitive development: What, how and why. We will attempt to answer these questions by a careful study of one famous case of cognitive development: Piaget's balance scale task for assessing proportional reasoning. In the past, we have investigated this task in various
van der Maas, H., Jansen, B., Raijmakers, M.   +2 more
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“Social Justice and Proportional Reasoning”

Mathematics Teacher: Learning and Teaching PK-12
From the Archives highlights articles from NCTM's legacy journals, previously discussed during MTLT Teacher Talk.
Ksenija Simic-Muller, Lucas Schwartz
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Proportional Reasoning in Middle School Mathematics

2012
Van de Walle (2007) is among many writers for preservice teachers to stress the importance of proportional reasoning, devoting an entire chapter to it (Chapter 19): “The development of proportional reasoning is one of the most important goals of the 5-8 curriculum.
Jane Watson, Kim Beswick, Natalie Brown
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The importance of specific mathematical language for early proportional reasoning

Early Childhood Research Quarterly, 2021
Wim van Dooren, Anne-Sophie Supply, Lieven Verschaffel   +2 more
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