Applying Quantitative Reasoning to Clarify Arc Measurements
The importance of reasoning quantitatively is reflected in both mathematics education research and mathematical standards for K-12 students. In this article, we detail how a quantitative reasoning framework can be used to help differentiate two quantities we have found students often struggle with:...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Georgia Southern University
2020-01-01
|
| Series: | Georgia Educational Researcher |
| Subjects: | |
| Online Access: | https://digitalcommons.georgiasouthern.edu/gerjournal/vol17/iss1/1 |
| id |
doaj-d9e72bcd6b2f45c697deff0b3d49f333 |
|---|---|
| record_format |
Article |
| spelling |
doaj-d9e72bcd6b2f45c697deff0b3d49f3332020-11-25T01:19:54ZengGeorgia Southern UniversityGeorgia Educational Researcher2471-00592020-01-0117110.20429/ger.2020.170101Applying Quantitative Reasoning to Clarify Arc MeasurementsDavid GlassmeyerDaniel BartonThe importance of reasoning quantitatively is reflected in both mathematics education research and mathematical standards for K-12 students. In this article, we detail how a quantitative reasoning framework can be used to help differentiate two quantities we have found students often struggle with: arc length and the measure of a central angle. We argue that taking the time to define all four components of a quantity can support students’ understanding of theorems involving these quantities.https://digitalcommons.georgiasouthern.edu/gerjournal/vol17/iss1/1quantitative reasoninggeometry |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
David Glassmeyer Daniel Barton |
| spellingShingle |
David Glassmeyer Daniel Barton Applying Quantitative Reasoning to Clarify Arc Measurements Georgia Educational Researcher quantitative reasoning geometry |
| author_facet |
David Glassmeyer Daniel Barton |
| author_sort |
David Glassmeyer |
| title |
Applying Quantitative Reasoning to Clarify Arc Measurements |
| title_short |
Applying Quantitative Reasoning to Clarify Arc Measurements |
| title_full |
Applying Quantitative Reasoning to Clarify Arc Measurements |
| title_fullStr |
Applying Quantitative Reasoning to Clarify Arc Measurements |
| title_full_unstemmed |
Applying Quantitative Reasoning to Clarify Arc Measurements |
| title_sort |
applying quantitative reasoning to clarify arc measurements |
| publisher |
Georgia Southern University |
| series |
Georgia Educational Researcher |
| issn |
2471-0059 |
| publishDate |
2020-01-01 |
| description |
The importance of reasoning quantitatively is reflected in both mathematics education research and mathematical standards for K-12 students. In this article, we detail how a quantitative reasoning framework can be used to help differentiate two quantities we have found students often struggle with: arc length and the measure of a central angle. We argue that taking the time to define all four components of a quantity can support students’ understanding of theorems involving these quantities. |
| topic |
quantitative reasoning geometry |
| url |
https://digitalcommons.georgiasouthern.edu/gerjournal/vol17/iss1/1 |
| work_keys_str_mv |
AT davidglassmeyer applyingquantitativereasoningtoclarifyarcmeasurements AT danielbarton applyingquantitativereasoningtoclarifyarcmeasurements |
| _version_ |
1725136606382260224 |