Using Bar Representations as a Model for Connecting Concepts of Rational Number

1998 ◽  
Vol 3 (4) ◽  
pp. 302-312 ◽  
Author(s):  
James A. Middleton ◽  
Marja van den Heuvel-Panhuizen ◽  
Julia A. Shew
Keyword(s):  
Rational Number ◽  
Middle Grades ◽  
Number Sense ◽  
Graphical Form

Middle Grades Students Should be able to understand, represent, and use numbers in a variety of equivalent forms, including fractions, decimals, and percents. They should develop number sense for fractions and other representations of rational number. Students should also be able to represent such relationships in graphical form (NCTM 1989).

Call for Manuscripts for the 2014 Focus Issue: Rational Number Sense – October 2012

2012 ◽  
Vol 18 (3) ◽  
pp. 189
Keyword(s):  
Rational Number ◽  
Number Sense ◽  
Rational Numbers

This call for manuscripts is requesting articles that address how to make sense of rational numbers in their myriad forms, including as fractions, ratios, rates, percentages, and decimals.

scholarly journals Investigating Numeric Relationships Using an Interactive Tool: Covering Number Sense Concepts for the Middle Grades

2010 ◽  
Vol 01 (02) ◽  
pp. 121-127
Author(s):  
Hui Fang Huang “Angie” Su ◽  
Carol A. Marinas ◽  
Joseph M. Furner
Keyword(s):  
Middle Grades ◽  
Number Sense ◽  
Covering Number ◽  
Interactive Tool

Stacking the Deck: Reversibility and Reasoning

2020 ◽  
Vol 113 (1) ◽  
pp. 65-68
Author(s):  
Jessica T. Ivy ◽  
Sarah B. Bush ◽  
Barbara J. Dougherty
Keyword(s):  
Collaborative Learning ◽  
Rational Number ◽  
Reflective Thinking ◽  
Number Sense ◽  
Active Role ◽  
Learning Task ◽  
Fifth Grade ◽  
Fifth Grade Students

To promote reversibility and strengthen number sense, we created an engaging and novel rational number exploration, which promoted flexible and reflective thinking. A class of fifth-grade students took an active role in a collaborative learning task, discussed their strategies, revisited the task, and reflected on their self-constructed generalizations.

Teaching Rational Numbers—Intermediate Grades

1984 ◽  
Vol 31 (6) ◽  
pp. 40-42
Author(s):  
Marilyn Hall Jacobson
Keyword(s):  
Rational Number ◽  
Middle Grades ◽  
Rational Numbers ◽  
Intermediate Grades

The introduction of decimals is an important rational-number activity in the middle grades.

Promoting Number Sense in the Middle Grades

1994 ◽  
Vol 1 (2) ◽  
pp. 114-120
Author(s):  
Barbara J. Reys
Keyword(s):  
Common Sense ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Middle Grades ◽  
Number Sense ◽  
School Mathematics ◽  
Evaluation Standards ◽  
Mathematics Teaching And Learning ◽  
Way Of Thinking

Phrases such as “number sense,” “Operation sense,” and “intuitive understanding of number” are used throughout the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) to describe an intangible quality possessed by successful mathematics learners. Number sense refers to an intuitive feeling for numbers and their various uses and interpretations, an appreciation for various levels of accuracy when computing, the ability to detect arithmetical errors, and a common-sense approach to using numbers (Howden 1989; McIntosh, Reys, and Reys 1991). Number sense is not a finite entity that a student either has or does not have but rather a process that develops and matures with experience and knowledge. It does not develop by chance, nor does being skilled at manipulating numbers necessarily reflect this acquaintance and familiarity with numbers. Above all, number sense is characterized by a desire to make sense of numerical situations, including relating numbers to context and analyzing the effect of manipulations on numbers. It is a way of thinking that should permeate all aspects of mathematics teaching and learning.

Call for Manuscripts: 2014 Focus Issue: Rational Number Sense

2012 ◽  
Vol 17 (7) ◽  
pp. 445
Keyword(s):  
Rational Number ◽  
Number Sense ◽  
Rational Numbers

This call for manuscripts is requesting articles that address how to make sense of rational numbers in their myriad forms, including as fractions, ratios, rates, percents, and decimals.

Call for Manuscripts: 2014 Focus Issue: Rational Number Sense

2012 ◽  
Vol 18 (1) ◽  
pp. 17
Keyword(s):  
Rational Number ◽  
Number Sense ◽  
Rational Numbers

This call for manuscripts is requesting articles that address how to make sense of rational numbers in their myriad forms, including as fractions, ratios, rates, percentages, and decimals.

Call for Manuscripts: 2014 Focus Issue: Rational Number Sense – April 2012

2012 ◽  
Vol 17 (8) ◽  
pp. 461
Keyword(s):  
Rational Number ◽  
Number Sense ◽  
Rational Numbers

This call for manuscripts is requesting articles that address how to make sense of rational numbers in their myriad forms, including as fractions, ratios, rates, percents, and decimals.

A Longitudinal Study of the Development of Rational Number Concepts and Strategies in the Middle Grades

2015 ◽  
pp. 265-289
Author(s):  
James A. Middleton ◽  
Brandon Helding ◽  
Colleen Megowan-Romanowicz ◽  
Yanyun Yang ◽  
Bahadir Yanik ◽  
...  
Keyword(s):  
Longitudinal Study ◽  
Rational Number ◽  
Middle Grades ◽  
Number Concepts
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